Answer:
1st equation
Step-by-step explanation:
you can just figure this out because when y = 0, that is where the x intercepts are.
so that means that when y = 0, one of the parentheses has to equal to 0 as well, you can only get 0 in this situation when you multiply by 0.
so either x = 0, or some parentheses has to equal to 0.
in the 1 equation when x=0, then y=0, (0,0)
when x = 4, then y = 0, (4,0)
problem solved!
The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.
The given coordinate points are (0,0) and (4, 0).
What is a x-intercept?The x-intercept for any curve is the value of the x-coordinate of the point where the graph cuts the x-axis, or we can say that the x-intercept is the value of the x-coordinate of a point where the value of y-coordinate is equal to zero.
A) y=x(x-4)
To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.
x-intercept(s): (0,0),(4,0)
y-intercept(s): (0,0)
B) f(x) = x(x + 4)
x-intercept(s): (0,0),(−4,0)
y-intercept(s): (0,0)
C) f(x) = (x - 4)(x-4)
x-intercept(s): (4,0)
y-intercept(s): (0,16)
D) f(x) = (x + 4)(x + 4)
x-intercept(s): (−4,0)
y-intercept(s): (0,16)
The function has two x-intercepts, one at (0,0) and one at (4,0) is f(x) = x(x - 4). Therefore, option A is the correct answer.
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10. A population of 1,236,000 grows 1.3% per year for 10 years.
11. A population of 752,000 decreases 1.4% per year for 18 years.
12. A new car that sells for $18,000 depreciates 25% each year for 4 years.
13. The value of a piece of equipment has a decay factor of 0.80 per year.
After 5 years, the equipment is worth $98,304. What was the original
value of the equipment?
14. A new truck that sells for $29,000 depreciates 12% each year. What is
the value of the truck after 7 years?
15. The price of a new home is $350,000. The value of the home appreciates 2%
each year. How much will the home be worth in 10 years?
Original Population = 1236000
Growth Rate = 1.3% per year
Since the population grows at an exponential rate, we can say that the growth of the population is an exponential growth.
Using the formula of exponential growth
population after 10 years = Original population (1-1.3%)^10
= 1236000 {1+(1.3/100)}^10
= 1236000 (1+0.013)^10
= 1236000 × 1.013^10
= 1236000 × 1.13787
= 1406407.32
Lines A and B are parallel lines cut by a transversal. Find the value of x.
Answer:12.33333333333
Step-by-step explanation:
8x - 2 = 14x - 76
74 = 6x
12.333 = x
The required value of the x is 13 in the measures of the angle.
Given that,
Line A and B are parallel lines and intersect by a transversal line.
A line can be defined by the shortest distance between two points is called a line.
What are parallel lines?Parallel lines are defined as the line on which the corresponding points are equidistant throughout the line
Here,
If a pair of parallel lines intersect by the transversal line then their corresponding angles are equal in measure,
Thus,
8x + 2 = 14x - 76
6x = 78
x = 78 / 6
x = 13
Thus, the required value of the x is 13 in the measures of the angle.
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Which of the following is an example of a function
whose graph in the xy-plane has no x-intercepts?
A) A linear function whose rate of change is not
B) A quadratic function with real menos
© A quadratic function with no real xeros
D) A cubic polynomial with at least one real zero
Answer: Option C.
Step-by-step explanation:
A function goes trough the x-axis when f(x) = 0 for some value of x.
For example, when we say that a quadratic function has no real zeros, this means that the determinant is less than zero, so the roots of the equation:
a*x^2 + b*x + c = 0
are complex roots, this means that for the function:
f(x) = y = a*x^2 + b*x + c
there is not a real number x such f(x) = 0
So the correct option is C.
The quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
What is x-intercept?The x-intercept is the point on the coordinate at which a line, curve or plane intersect with the x-axis.
The example of a function whose graph in the xy-plane has no x-intercepts has to find out.
X-intercept is the point over the graph where,
[tex]y=f(x)[/tex]
Here, x is the roots of the function.
For no value of x-intercepts, the function become,
[tex]y=0[/tex]
[tex]f(x)=0[/tex]
Here, the zeros and roots are the same, where function become equal to zero.
Thus, the quadratic function with no real zeros is an example of a function whose graph in the xy-plane has no x-intercepts.
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find the value of 4^7/4^9
A.-16
B.1/16
C.1/8
D.8
Answer:
B. 1/16
Step-by-step explanation:
[tex] \frac{ {4}^{7} }{ {4}^{9} } = {4}^{7} \div {4}^{9} = {4}^{(7 - 9)} \\ = {4}^{ - 2} = \frac{1}{ {4}^{2} } = \frac{1}{4 \times 4} = \frac{1}{16} [/tex]
The answer is 1/16, option B
Answer:
[tex]\tt{} \frac{1}{16} [/tex]
Step-by-step explanation:
[tex]\tt{} \frac{ {4 }^{7} }{ {4}^{9} }[/tex]
[tex] \tt{} \frac{1}{ {4}^{(9 - 7)} } \\ \\ \tt{} \frac{1}{ {4}^{2} } \: \: \: \: \: \: \: \: \: [/tex]
[tex] \tt{} \frac{1}{4 \times 4} \\ \\ \tt{} \frac{1}{16} \: \: \: \: \: \: [/tex]
The dot plot shows the number of particpants in each age group in a science fair. 11 12 15 16 17
Complete Question
The dot plot shows the number of participants in each age group in a science fair. Which of the following statements is not supported by the dot plot?
A The range is 6.
B The mean of the ages is about 14.4.
C The mode of the ages is 13.
D The median of the ages is 15.
Answer:
(C) The mode of the ages is 13.
Step-by-step explanation:
The given dot plot is attached.
From the dot plot, there is no participant aged 13. Therefore, the mode of the ages cannot be 13. The mode is actually 15.
Therefore, Option C is not supported by the dot plot.
Which descriptions are true of the function shown in the table? Check all that apply.
quadratic
linear
exponential
y = 3x + 3.2
y = 3x2
y = 3.2x
Answer:B & F
Step-by-step explanation:
On edge
The sides of a rectangle are in the ratio 3.2. What is the lengi
of each side if the perimeter of the rectangle is 55 cm?
Answer:
11 and 16.5
Step-by-step explanation:
3x : 2x = length: width
55 = (3 + 2)(2)x -->
55 = 10x -->
5.5 = x -->
11 and 16.5 = width, length
Answer:
16.5
Step-by-step explanation:
!!15p!!
Which statement explains how to calculate the mean of a set of data?
A
Subtract the smallest from the largest value.
B. Add the largest and the smallest values and divide by 2.
C. Find the sum of all the values and then divide by the number of values.
D. Organize the data from least to greatest and find the value in the middle.
E Organize the data from least to greatest and identify which value is repeated the most often.
Answer:
C
Step-by-step explanation:
Mean is just another name for average. To find the mean of a data set, add all the values together and divide by the number of values in the set. The result is your mean!
What is the perimeter of this rectangle? Will mark brainliest.
Answer:It's C, 425 ft.
Step-by-step explanation:
You multiply 17 ft. by 25 ft.
Answer:
84 feet
Step-by-step explanation:
there are 4 sides: 17 feet, 17 feet, 25 feet, and 25 feet
to get perimeter you add all the sides together. 17+17=34 then 25+25=50. 50+34=84.
therefore 84 feet is your answer.
1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is
Answer:
2/2
Step-by-step explanation:
There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.
Becca has a biscuit recipe that uses 2/3 of a tablespoon of salt for every 3/4 of a cup of flour. In order to have enough biscuits for her family that is visiting, Becca is making a batch of biscuits using 3 cups of flour and BLANK. tablespoons of salt.
Answer:
In your question if Becca uses 3/4 cup of flour to her biscuit, she uses 2/3 tablespoon of salt and the batch of biscuit that she made uses 3 cup of flours. In finding how much tablespoon of salt use in a 3 cups of flour, you must first find the total cup of flour which 4 and the possible total table spoon of salt is 3. So by calculating the answer is 2 and 2/3 tablespoon of salt
A 4-pound bag of apples costs $5.00. Based on that rate, which equation shows how y, the cost in dollars, is realted to x, the weight in pounds?
y = x - 1
y = 1.25x
y = 0.8x
y = x + 1
y = 1.25 x equation shows the correct relation of x
What is linear graph?
Linear graph is represented in the form of a straight line. To show a relationship between two or more quantities we use a graphical form of representation.
According to the question,
Cost of apples, y, varies directly with pounds
of apples purchased, x.
y = k. x
k is constant of proportion
Four pounds of apples cost $5
5 = 4. k
k = 5/4 = 1.25
As it should be, k is a constant equal to 1.25
y = 1.25 x for 4 pounds of apples
Hence, y = 1.25 x equation shows the correct relation of x
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At which point is 5/8 located on the number line
Answer:
c
Step-by-step explanation:
Answer:
Answer: C
Step-by-step explanation:
The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.211.211, point, 2 11.211.211, point, 2 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
the correct answer is 1
hope this helps :D
Which situation is most likely to have a constant rate of change?
A. The total amount paid for gas compared with the number of
gallons purchased.
B. Distance a delivery truck travels compared with the number of
deliveries made
) C. Number of flowers in a flower bed compared with the area planted
D. Points scored in a basketball game compared with the number of
quarters played
Answer:a
Step-by-step explanation:
Seven different models cars, from which there are three blue and four red, are to be parked in a row. Find how many different arrangements there are if the first, the last, and the car in the middle of the queue should be blue.
Answer ASAP for brainliest answer!
Answer:144 ways
Step-by-step explanation:
Given
There are 7 different models cars
out of which three are blue and 4 are red
If the first middle and last car in Queue is blue car therefore the position of blue cars is fixed
But these 3 cars can be arranged in 3! ways
Remaining 4 cars can be arranged in remaining 4 spots in 4! ways
Therefore total no of ways are
[tex]=3!\times 4![/tex]
[tex]=6\times 24=144\ ways[/tex]
George Washington, Andrew Jackson, Ulysses Grant, Dwight Eisenhower
These four president were all-
Democrats
Republicans
Military leaders
College Professors
Answer:
George Washington, Andrew Jackson, Ulysses Grant, and Dwight Eisenhower were all military leaders.
yoyoyoyooyyoyoyoyyyoy I need help plz someone
Answer:
14 units, 19.8 units (3 s.f.)
Step-by-step explanation:
To find the length of each side of the square ABCD, find the length of AB.
Refer to the picture attached.
AB= AX +XB
Let's find the length AX first.
(see triangle AXY)
Applying Pythagoras' Theorem,
(AX)² + (XY)² = (AY)²
(AX)² +12²= 13² (subst. known values)
(AX)²= 169 -144 (move constant to 1 side)
(AX)²= 25 (simplify)
AX= √25 (square root both sides)
AX= 5 units
Now, let's find the length of XB.
(see triangle BXY)
Applying Pythagoras' Theorem,
(XB)² + (XY)²= (BY)²
(XB)² +12²= 15²
(XB)²= 225 -144 (bring constant to 1 side)
(XB)²= 81 (simplify)
XB= √81 (square root both sides)
XB= 9 units
AB
= 5+9
= 14 units
Therefore, length of each side of square ABCD= 14 units
To find the diagonal of the square, focus on the red shaded triangle (refer to picture 1).
Since squares have equal sides, AD= DC= 14 units
Applying Pythagoras' Theorem,
(AC)²= (AD)² +(DC)²
(AC)²= 14² +14² (subst. known values)
AC= √392 (simplify)
AC= 19.8 units (to 3 s.f.)
What positive value of x makes the following equation true: x^2 = 289? Expain
Answer:
17
Step-by-step explanation:
17x17= 289
Answer:
The square root of 289 is also 17.
Step-by-step explanation:
What the product of (-4)(-9)(-2)
Answer:
-72
Step-by-step explanation:
Answer:
-72
Step-by-step explanation:
36(-2)
-72
The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
What is example of natural numbers
Answer:
1, 2, 3, and so on are natural numbers.
Step-by-step explanation:
HELP ME PLZ ASAP!!!!!
Answer:
x=30, A=132
Step-by-step explanation:
These 2 angels are alternate interior angles so they are equal
5x-18=3x+42
Solve.
2x=60
x=30
Now substitute x into angle A
A=150-18
A=132
Answer:
The variable X should be 30.
Step-by-step explanation:
∠132=5(30)-18° = ∠132=3(30)+42°
In Circle C, EA and FB are diameters. Identify the following Two major arcs.
Answer:
See explanation
Step-by-step explanation:
Two major arcs:
[tex] \widehat {EAB}, \:\:\widehat {FAD}[/tex]
Two minor arcs:
[tex] \widehat {EF}, \:\:\widehat {AB}[/tex]
Which numbers are solutions to the inequality -3x-3<_6? Check all of the boxes that apply.
Answer:
0,2,4
Step-by-step explanation:
Answer: 0,2,4
Step-by-step explanation:
Steven earns extra money babysitting. He charges $17.25 for 3 hours and $28.75 for 5 hours.
Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.
The equation is y =
Answer:
y= 5.75x
Step-by-step explanation:
divide the amount he charges by how many hours.
find the missing letter which is n.then find the perimeter. the width is 3ft and area is 33sq ft
Answer:
Perimeter = 28 ft
n = 11
Step-by-step explanation:
Area = length x width
33 = n * 3
n = 11 = length
then the perimeter is 2Length + 2Width
= 2*11 + 2*3 =
22 + 6 = 28
Answer:
Step-by-step explanation:
Area = 33 sq ft
length * width = 33
n * 3 = 33
Divide both sides by 3
n = 33/3
n = 11 ft
Perimeter = 2*(length + width)
= 2*(11 + 3)
= 2* 14
= 28 ft
Please help me please
Answer:
⅓
Step-by-step explanation:
Total 6 possible outcomes
Same colour:
White, white
Blue, blue
P(same colour) = 2/6 = 1/3
Answer:
1/3
Step-by-step explanation:
Looking at the possibilities ( there are 6)
There are 2 that have the same shirt and shorts of the same color ( white white and blue blue)
That means we have 2 out of 6 that meet the requirements
2/6 = 1/3
Samira is playing a game with the spinner shown. a. What is the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin? Enter as a fraction. b. Predict how many times the pointer will land in a section labeled with the letter A after 300 spins. J J O S H U A A K E a. The theoretical probability that the spinner will land on a section labeled A is . (Type an integer or a simplified fraction.)
Answer:
A. 1/5
B. 60 times
Step-by-step explanation:
The theoretical probability that the pointer(a) is 1/5 and the pointer will land in a section labeled with the letter A after 300 spins (b) is 60
We have given that the Samira is playing a game with the spinner shown.
We have to deterine the theoretical probability that the pointer will land in a section labeled with the letter A on a given spin.
What is the probability of spinner?This probability is equal to the amount of '1's divided by the total amount of numbers on the spinner.
Thus,The theoretical probability that the spinner is 1/5.
and also the pointer will land in a section labeled with the letter A after 300 spins.
Therefore we get,
[tex]1/5\times 300/1=300/5=60[/tex]
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Which of the following statements is not true?
