f(x) = (x – 1)(x + 4)?
Answers
Answer:x^2+3x-4
Step-by-step explanation:
Related Questions
Quadrilateral CDEF is inscribed in circle A. Which statements complete the proof to show that ∠CFE and ∠CDE are supplementary?
Quadrilateral CDEF is inscribed in circle A.
Quadrilateral CDEF is inscribed in circle A, so m arc CDE+ m arc CFE= 360°. ∠CFE and ∠CDE are _________________, which means that their measures are one half the measure of their intercepted arcs. So, m arc CDE= 2 ⋅ m∠CFE and arc CFE= 2 ⋅ m∠CDE. Using the _________________, 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementary.
inscribed angles; substitution property of equality
central angles; substitution property of equality
inscribed angles; addition property of equality
central angles; addition property of equality
Answers
Answer:
Inscribed angles, substitution property of equality
Step-by-step explanation:
We know it cant be Central angles because its a quadrilateral so that's 2 answers out. Then you have to substitute each value to end up with 2 ⋅ m∠CFE + 2 ⋅ m∠CDE = 360°, it doesnt make sense to add to both sides so the answer is Inscribed angles and substitution property of equality.
Plus i took the test and its right.
Angles to be proven as supplementary angles are known as inscribed
angles, and they are used as the substitute to known angles.
Response:
Inscribed angles; substitution property of equalityWhich method can be used to determine the correct option to complete the statement?The given information are;
Quadrilateral CDEF is inscribed in circle A
The completed statement is presented as follows;
Quadrilateral CDEF is inscribed in circle A, so [tex]m \widehat{CDE}[/tex] + [tex]m \widehat{CFE}[/tex] = 360°, ∠CFE and ∠CDE are inscribed angles, which means that their measures are [tex]\dfrac{1}{2}[/tex] the measures of the intercepted arcs. So [tex]m \widehat{CDE}[/tex] = 2·m∠CFE and [tex]m \widehat{CFE}[/tex] = 2·m∠CDE. Using the substitution property of equality, 2·m∠CFE + 2·m∠CDE = 360°. Using the division property of equality, divide both sides of the equation by 2, resulting in m∠CFE + m∠CDE = 180°. Therefore, ∠CFE and ∠CDE are supplementaryThe correct option is therefore;
inscribed angles; substitution property of equalityInscribed angles are angles formed by the intersection of two chords of
a circle.
The substitution property of equality states that variables that are
equal can be substituted by each other in any equation with both sides
of the the equation remaining equal.
Learn more about inscribed geometric figures of a circle here:
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The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answers
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
More about the trigonometry link is given below.
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Use a geometric model to factor 2x2 - x - 1 by following
these steps:
Step 1: Model the polynomial by placing tiles in the
Product section.
Answers
Answer: It is not a perfect rectangle
Step-by-step explanation: Put 2 x2 tiles side by side horizontally then place an -x tile be side it then an - tile next to the x tile
Answer:
Step 4: What is the factored form of this trinomial?
✘ O A. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] + 1 )
✔ ∅ B. (2[tex]x[/tex] + 1 ) ( [tex]x[/tex] - 1 )
✘ O C. (2[tex]x[/tex] - 1 ) ( [tex]x[/tex] - 1 )
What is a intersection
Answers
Answer:
Intersection means a line common to other lines and an action of intersection/intersecting.
hope it helps!
Anne wants to create a data display to summarize prices of the 264 homes for sale in her
area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000
She wants the display to show how many homes are available for homebuyers with various
budgets. Which data display is best for Anne's purpose?
a histogram, because the minimum and maximum values are clearly displayed
a box plot, because the median is clearly displayed
a box plot, because the data are divided into four ranges of values
a histogram, because the bars show the frequency of data points within different ranges
Answers
Answer:
The correct option is (D).
Step-by-step explanation:
The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.
Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.
In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
So, Anne can set range of budget values and assign the number of buyers with various budgets.
From the provided data the range of budget values can be set as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Thus, the histogram data display is best for Anne's purpose.
The correct option is (D).
This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.
Given:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.
According to the question,
As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.
Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The following methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.
In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
Thus, Anne can set range of budget values and assign the number of buyers with various budgets.
From the given data the range of budget values can be written as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.
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The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answers
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
Find the area of this circle. Use 3.14 for piπ.
Answers
Answer:
A =452.16 ft^2
Step-by-step explanation:
The area of a circle is given by
A = pi r^2 where r is the radius
A = 3.14 (12)^2
A =452.16 ft^2
Answer:
452.16ft^2
Step-by-step explanation:
So to answer this You need to use the formula A=πR^2
Step one is Figuring out what the equation is so A= (3.14)12^2Now what is 12 squared? The answer is 144ftStep three Multiply 144 by 3.14 since that is for PI to get 452.16ft^2factor the binomials using gcf 16p + 4
Answers
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
First start by factoring, you should get (2n-3)(n-2)=0
Then start to solve for n.
2n-3=0
n-2=0
n=2, n= 3/2
I hope that helps.
1. The cost to rent a movie is $3 for 1 day,
$4 for 2 days, and $5 for 3 days. Describe
the relationship between the cost and the
number of days.
2. Kenji plants 8 seeds in 1 row of his garden,
16 seeds in 2 rows, and 24 seeds in 3 rows.
Describe the relationship between the
number of rows and the number of seeds.
Answers
Answer:
i dont really know
Step-by-step explanation:
The price goes up by 1 for every 1 day. 2 times the amount as seeds per day.
8 x 2 = 16 8 x 3 = 24.
solve |-4|/|-4| please help
Answers
Answer:
i think the answer is 1 dont take my word for it though
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1
Determine the vertex of the function f(x) = 3x2 – 6x + 13.
1. Identify the values of a and b.
a =
and b =
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
.
Answers
Answer:
1.)
A=3
B=-6
2.)
1
3.)
(1,10)
Answer:
1. Identify the values of a and b.
a =
✔ 3
and b =
✔ –6
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
✔ 1
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
✔ (1, 10)
Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answers
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Sara is a drummer in her school’s marching band. She wants to make a geometrically similar model of a snare drum for her stuffed animals. To find the dimensions she should use to make a cylinder model with a scale of 1:4, Sara measures the radius and height of a snare drum and multiples each dimensions by 1/2, which statement is true?
A. a cylinder with Sara’s dimensions will be geometrically similar, and scale factor will be 1:4
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
C. a cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:8
D. a cylinder with sara’s dimensions will not be geometrically similar
Answers
The ratio 1:4 would be the same as if it was written as 1/4.
Because she multiplied the dimensions by 1/2, that would be a ratio of 1:2
The answer is:
B. A cylinder with Sara’s dimensions will be geometrically similar, but the scale factor will be 1:2
Which of the following are whole numbers ?
Answers
Answer:
-1 and 3 should be right
Answer:
3
Step-by-step explanation:
Whole numbers are non-negative integers
A whole number can be 0 or positive with decimal/fraction part
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answers
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
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Zero is___ a divisor always sometimes never
Answers
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
A stunt man wants to drive a car off a ramp at an angle of 35∘ from the ground. He already has a ramp with an angle of 15∘. He plans to add a second ramp on top to increase the angle to 35∘. What angle measure does the second ramp need to have?
Answers
The second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
Here,
To find the angle measure the second ramp needs to have, we can use the concept of angles of elevation and depression.
When the car drives off the first ramp, it will be going at an angle of 15° from the ground, and the angle of elevation from the ground to the car will also be 15°.
This is because the angle of elevation is the angle between the horizontal line and the line of sight from the ground to an object above the ground.
Now, when the car reaches the top of the first ramp, it will be at the same level as the second ramp.
At this point, the car needs to continue its ascent with an additional angle of 20° (35° - 15°) to reach the desired angle of 35° from the ground.
So, the second ramp needs to have an angle of 20° from the ground to achieve the overall angle of 35° for the car to drive off smoothly and reach the desired height.
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Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answers
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
An economy package of cups has 750 green cups. If the green cups are 30% of the total package, how many cups are in the package?
Answers
Answer:
2500 cups
Step-by-step explanation:
Let c = total cups
c*30% = green cups
c*.30 = 750
Divide each side by .30
.30c/.30 = 750/.30
c =2500
Find the volume of the prism.
36 m
3 m
5 m
Answers
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.
Answers
Answer: x = 1
Step-by-step explanation:
we have
x tetras
3 goldfish
5 platies.
the total number of fishh in the bowl is x + 3 + 5
The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:
p = 3/(x + 3 + 5) = 1/3
3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3
9 = x + 3 + 5
x = 9 - 8 = 1
then wemust have that x = 1
because 1 + 3 + 5 = 9
and 3/9 = 1/3
The zoo also has a merry go round. To set up the merry go round, the zoo manager has to clear some land. The diameter of the merry go round is 18 feet. How much land does the manager need to clear in order to build the merry go round?
Answers
Answer:
254.34 m^2
Step-by-step explanation:
To know the amount of land that needs to be cleared, we must calculate the area that this land would occupy.
We know that the area would be determined by:
A = pi * r ^ 2
the radius is half the diameter:
r = d / 2 = 18/2
r = 9
the radius equals 9 feet, replacing:
A = 3.14 * 9 ^ 2
A = 254.34
Therefore, an equivalent amount of land 254.34 square meters would have to be cleared so that it can be built
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answers
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
What are our “cheat words” for finding slope?
Answers
Answer: y-intercept
Step-by-step explanation:
Consider the trinomial x2 - 9x + 18.
Which pair of numbers has a product of ac and a sum
of b?
Answers
Answer:
the answer is -6 and -3
Step-by-step explanation:
Answer:
-3 and -6.
Step-by-step explanation:
ac = 1 *18 = 18
b = -9
The 2 numbers required are -3 and -6.
A scientist created a scatterplot to display the height of a plant over a 12-day period. Plant Height A graph has days on the x-axis and height (inches) on the y-axis. A trend line goes through points (5, 3) and (12, 7). Which is the equation of the trend line that is shown? y = StartFraction 1 Over 7 EndFraction x + StartFraction 4 Over 7 EndFraction y = StartFraction 1 Over 7 EndFraction x + StartFraction 16 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x minus StartFraction 1 Over 7 EndFraction y = StartFraction 4 Over 7 EndFraction x + StartFraction 1 Over 7 EndFraction
Answers
Answer:
The correct option is (D) [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
Step-by-step explanation:
The two-point form for the equation of straight line is:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})[/tex]
The two points provided are:
A = (5, 3)
B = (12, 7)
Compute the equation of the trend line as follows:
[tex](y-y_{1})=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\ (x-x_{1})\\\\(y-3)=\frac{7-3}{12-5}\ (x-5)\\\\(y-3)=\frac{4}{7}\ (x-5)\\\\y-3=\frac{4}{7}\ x-\frac{20}{7} \\\\y=\frac{4}{7}\ x-\frac{20}{7}+3\\\\y=\frac{4}{7}\ x+\frac{-20+21}{7}\\\\y=\frac{4}{7}\ x+\frac{1}{7}[/tex]
Thus, the equation of the trend line is [tex]y=\frac{4}{7}\ x+\frac{1}{7}[/tex].
The correct option is (D).
Answer:
D
Step-by-step explanation:
-16 = 5 + 3x what is the constant and coefficient
Answers
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answers
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
slove the x in the digram below explain
Answers
Answer:
x= 20
Step-by-step explanation:
a flat angle is, in terms of geometry, the space between an intersection between two lines whose opening measures 180 degrees or 180º. Since the angle is 180º there is no difference between two lines or a line and we can say that the angles in a straight line always add up to 180º.
Step 1
define
according to the graph
3x+80+2x=flat angle=180°
3x+80+2x=180°
Step 2
solve for x
3x+80+2x=180°
5x+80=180
subtract 80 in each side
5x+80-80=180-80
5x=100
divide by 5
(5x)/5=100/5
x=20
happy to help:)
