MULTIPLE CHOICE:
A. x2 + 1 = 2x − 3
B. x2 – 2x − 1 = 3
C. x2 + 2x − 1 = 3
D. x2 + 2x − 1 = -3
Answer:
C
Step-by-step explanation:
The first term -2 is also -B; therefore A and B can be eliminated.
-1+3 is 2, and -4 is the only term used in the formula, so D is also eliminated
(-5+6) + (-9-23)
Find the sum
Answer:
-31
Step-by-step explanation:
-5+6=1
-9-23=-32
1+-32=-31
Answer:
The answer is -31
Step-by-step explanation:
First, you would add everything in the parenthesis. Negative 5 added to 6 gives you a sum of 1, while negative 9 subtracted from 23 would give you negative 32. Once you have these two values, simply combine the totals to get negative 31
(1) + (-32) = -31 :)
angle theta is in standard position. if sin theta = -1/3 and pi < theta< 3pi/2 find cos theta
Using the relation between the sine and the cosine of an angle, it is found that:
[tex]\cos{\theta} = -\frac{2\sqrt{2}}{3}[/tex]
What is the relation between the sine and the cosine of an angle?The sine squared of an angle, plus the cosine squared of the same angle, is equals to one, hence:
[tex]\sin^2{\theta} + \cos^2{\theta} = 1[/tex]
In this problem, we have that the sine is given by:
[tex]\sin{\theta} = -\frac{1}{3}[/tex]
Hence:
[tex]\left(-\frac{1}{3}\right) + \cos^2{\theta} = 1[/tex]
[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]
[tex]\cos^2{\theta} = \frac{8}{9}[/tex]
[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]
[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]
We have that pi < theta < 1.5pi, hence the angle is in the third quadrant, where the cosine is negative, thus:
[tex]\cos{\theta} = -\frac{2\sqrt{2}}{3}[/tex]
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Fill in the blanks to complete the table.
The solution to f(x) = g(x) is x =
Blank 1:
Blank 2:
Blank 3:
Blank 4:
Blank 5:
Blank 6:
Blank 7:
Blank 8:
Blank 9:
Blank 10:
Blank 11:
Blank 12:
Blank 13:
Answer:
you plug in the numbers into the function
Step-by-step explanation
function 1 is blank 1 is 17
2) is 16 3) is 15 4) is 12 5) is 7 6) is 0 and so on
for function 2 blank 1 is 1
2) is 0 3) is -1 4) is -2 5) is -3 6) is -4 and so on
does that help?
PLEASE ANSWER CLEARLY YOU CAN EITHER PUT JUST A LETTER OR THE LETTER AND IT'S ANSWER THANK YOU, EVERYONE! :)
The dimensions of a rectangle are represented by the functions shown.
Which function represents the area of the rectangle?
A. 12x2 + 15x – 10
B. 12x2 + 7x + 10
C. 12x2 – 8x – 10
D. 12x2 + 7x – 10
Answer:
D
Step-by-step explanation:
multiply it out
(3x-2) (4x+5) =
12x^2 +15x - 8x -10
= 12x^2 + 7x - 10
please help me!!!!!!!!!!
Answer:
(1,4)
(2,6)
(3,8)
(4,10)
(5,12)
Step-by-step explanation:
a^2-b^2=(a+b)(a-b) label perfect square trinomial or difference two square
Answer:
difference of squares
Step-by-step explanation:
a^2 - b^2 = (a-b)(a+b)
This is the definition of the difference of squares
Select the correct answer.
Which sum or difference is modeled by the algebra tiles?
A. (x2 + 4x − 2) + (x2 − 2x − 4) = 2x2 + 2x + 2
B. (x2 + 4x − 2) + (x2 + 2x + 4) = 2x2 + 2x + 2
C. (x2 + 4x − 2) − (-x2 + 2x − 4) = 2x2 + 2x + 2
D. (x2 + 4x − 2) − (-x2 − 2x + 4) = 2x2 + 2x + 2
Answer:
Hello there the Correct answer The only answer choice that produces -2x²+2 is D.
Because (-x²+2x+3)+(-x²-2x-1) = -x²+2x+3-x²-2x-1 = -2x²+2
answer: D
Hope It Helps!
The correct option is D.
How are algebra tiles named?
We name the Algebra Tile pieces by considering the area of each, meaning we need to know the dimensions of each piece. If the small yellow square has a length of 1 unit, the area of the small square is 1 square unit. Then the long green rectangle has dimensions 1 by x and has an area of x square units.
What are algebra tiles examples?
Algebra tiles are square and rectangle-shaped tiles or tiles that represent numbers and variables. For example, we can use square tiles to represent numbers. Each square tile is equal to one. So, four can be represented by four square tiles.
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Henry has at least 3 times as much money as Deb. Using x= the amount of money Deb has and y= the amount of Henry has, write a inequality that would show all the possible amount of money that each could have. Give one possible solution
Answer:
y ≥ 3x
Possible solution: x=1, y=3
Step-by-step explanation:
Since Henry has atleast 3 times as much money as Deb
y=3x
y must always be greater than or equal to 3x
if x=1 y=3
Which value for x will make 3x + 10 > 75 correct?
Answer:
The answer is D
Step-by-step explanation:
I subtracted 10 from 75 and got 65 then divided 65 by 3 and got 21
The answer is c.
An inequality solution is any value of the variable that makes the inequality true. Solving linear inequalities is almost exactly like solving linear equations.
How to find which value for x will make 3x + 10 > 75 correct?
Subtract 10 from both sides we get , 3x+ 10 - 10 = 75 - 10
3x + 0 > 65
divide both sides by 3 implies
3x / 3 = 65 /3
=> x > 15.
Thus Option c is correct.
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Please help ;-;, I really need it-
Answer:
See below
Step-by-step explanation:
For a more detailed explanation, take a look at PDF below;
Surface Area of First Figure; 544 in^2,
Surface Area of Second Figure; 276 ft^2,
Surface Area of Third Figure; 1240 yd^2
the area of a triangle is 36m² and the height is 9 m. find the length of the corresponding base
Answer:
8 meters
Step-by-step explanation:
Since the formula for the area of a triangle is bh/2, if the height of the triangle is 9m then the base must be 8m. This is because that is the only number which, when multiplied by 9 and divided by 2, yields 36. Hope this helps!
Combine the Expression:(10x - 4) + (-7 + x)
Answer:
11x-11
Step-by-step explanation:
(10x-4)+(-7+x)
10x-4-7+x
11x-11
Answer:
11x-11
Step-by-step explanation:
10x+x=11x
-4+(-7)=-11
11x-11
if this is right a brainliest would be very appreciated!
Using the graphing function on your calculator, find the solution to the system
of equations shown below.
y+ x = 3
y-2x = -12
A. No solution
B. x = -2, y = 5
C. x = 5, y = -2
D. More than 1 solution
Answer:
C. x = 5, y = -2
Step-by-step explanation:
I graphed the equations on the graph below.
If this answer is correct, please make me Brainliest!
omg please help meee fastttt
Answer:
Jill will make less money if they both work 3 hours
Step-by-step explanation:
Trust me. I hope this helps :)
The last option(D)
The smallest animal that lives on land is the pygmy shrew. This animal weighs about 5 x 10-2
ounce. Which number shows another way to express 5 x 10-2?
50.0
0.50
0.05
5.00
PLLSS HELLPP
Answer:
5.00
Step-by-step explanation:
Answer:
5.00
Step-by-step explanation:
Determine the area of the composite figure to the nearest whole number.
A) 132 ft²
B) 176 ft²
C) 184 ft²
D) 216 ft²
Answer:
B) 176 ft²
Step-by-step explanation:
asdasdddddddddddddddddasdasdasdasdsa
Use the factor and remainder theorem.
Answer:
B.91
Step-by-step explanation:
4x³+x²-10x+4 : (x-3)
-(4x ³-12x²) |4x²+13x+29
13x²-10x+4
-(13x²-39x)
29x+4
-(29x-87)
91
4x³+x²-10x+4 =(x-3) (4x²+13x+29) +91
B. 91
The angle 01 is located in Quadrant III, and cos(01) = -30/13
What is the value of sin(01)
Answer:
sin(01) = -32.70/13Step-by-step explanation:
Given cos(01) = -30/13 where angle 01 is located in quadrant III. In the third quadrant, both cos and sin are negative. only tan is positive.
To calculate sin(01), we will apply the trigonometry expression as shown below;
cos(01) = -30/13
According to SOH CAH TOA;
cos(01) = adjacent/hypotenuse = -30/13
sin(01) = opposite/ hypotenuse
To get the hypotenuse, we will use the pythagoras theorem
[tex]hyp^{2}=opp^{2}+adj^{2} \\opp^{2}= hyp^{2}-adj^{2}\\opp^{2}= 13^{2} -(-30^{2} )\\opp^{2} = 169+900\\opp^{2}=1069\\opp = \sqrt{1069} \\opp = 32.70\\[/tex]
sin(01) = 32.70/13
Since sin is also negaitve in the third quadrant, the value of
sin(01) = -32.70/13
[tex]01 = cos^{-1}- 30/13[/tex]
Two histograms showing the number of pets owned by boys and girls in a science class are each skewed left. Which measure of variability should be used to describe the data? mean median standard deviation interquartile range
Answer: D : interquartile range
Step-by-step explanation: I just took the test
The measure of variability which should be used in this case interquartile range. so option D is correct.
What is quartile ?A quartile is a type of quantile that divides a data set into four equal parts, or quarters. The first quartile (Q1) marks the 25th percentile of the data, the second quartile (Q2) marks the 50th percentile, or median, of the data, and the third quartile (Q3) marks the 75th percentile of the data. These quartiles divide the data into four equal parts and provide information about the distribution of the data and its spread. The interquartile range (IQR), which is the difference between Q3 and Q1, is a measure of the spread of the middle 50% of the data.
When the data is skewed, the mean can be misleading as it is affected by the skewness of the data. In such cases, the median is a better measure of central tendency that represents the typical value of the data.
Therefore, the measure of variability that should be used to describe the data in this case is the interquartile range (IQR). IQR is a measure of spread that is not affected by extreme values or outliers and is often used with skewed data. It is calculated as the difference between the third quartile (Q3) and the first quartile (Q1) of the data.
So, the answer is the interquartile range.
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i dont understand someone plz help
Answer:
V = 1815.8 mm^3
Step-by-step explanation:
Okay so this is a tricky one, thats why i decided to help. The first thing you need to do is find the volume of the hemisphere, the formula to do this is 2TTr3 / 3. when you input the values, solve, and round to the nearest tenth you get approximately 718.4 mm^3. The next step is to find the volume of the cone, the formula for volume of a cone is πr^2h/3. When you input the values, solve, and round to the nearest tenth you get approximately 2534.2 mm^3. The third and final step is to subtract the volume of the hemisphere from the volume of the cone, and when you do that you get V = 1815.8 mm^3.
Hope this helps!
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Rosalia went on a long bike ride. The table shows how long she biked and the distance she traveled. Determine whether the relationship between hours biked and miles traveled is proportional.
Answer:
There needs to be a graph.
Step-by-step explanation:
The rate of change is not the same for all the cases so, the relationship between hours biked, and the miles traveled is not proportional.
What is proportionality?We use constant of proportionality in mathematics to calculate the rate of change and at the same time determine if it is direct variation or inverse variation that we are dealing with.
From the table, we need to find the rate of change between two given hours and the miles traveled at that time.
Now,
Between 1 hour and 2 hours.
The rate of change.
= (26 - 12) / (2 -1)
= 14 / 1
= 14
Between 2 hours and 3 hours.
The rate of change.
= (30 - 26) / (3 - 2)
= 4 / 1
= 4
Between 3 hours and 4 hours.
The rate of change.
= (48 - 30) / (4 - 3)
= 18 / 1
= 18
Since,
The rate of change is not the same for all the cases so,
Hence, the relationship between hours biked, and the miles traveled is not proportional.
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Find the area of the trapezoid by decomposing it into other shapes.
A) 25 cm2
B) 27 cm2
C) 30 cm2
D) 35 cm2
Answer:
35 cm2
Step-by-step explanation:
Answer:
The area of the trapezoid would be 30 cm squared.
Step-by-step explanation:
HELP ASAP
You have prizes to reveall Go to your game board.
PQRS ~ KJIH.
What is the similarity ratio of PQRS to KJIH?
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
Answer:
NO se sorry presta atención para que no andes preguntas
THIS IS URGENT!
What is the solution to the system graphed below?
Answer: (-4, -1)
Step-by-step explanation: Since these lines are already graphed, we are looking for their point of intersection. This point where the two lines intersect will represent the x and y that is the solution to this system of equations.
The two lines intersect in quadrant III
where x and y are both negative.
When finding the coordinates of a given point,
be very careful with your signs.
Let's just do a quick review on the coordinate system. On the x-axis, left means negative and right means positive and on the y-axis, down means negative and up means positive.
So to find the coordinates for this point, we start at the origin.
Then we move to the left 4 and down 1 so that's (-4, -1).
So the solution to this system is (-4, -1).
What is the product?
2x(x-4)
O 2x2-4
O 2x2-8
O 2x2 - 4x
O 2x2-8x
Answer:
d. 2x^2-8x
Step-by-step explanation:
ure just doing distributive property.
The product of 2x(x-4) is 2x² - 8x
HOW TO OPEN BRACKET?In a mathematics, algebraic expressions can be in bracket. This bracket means we multiply all the variables outside by those inside.
According to this question, we are given the following expression: 2x(x-4)
This means that 2x multiples x and -4 independently.
That is; 2x × x and 2x × -4
2x² - 8x
Therefore, the product of 2x(x-4) is 2x² - 8x.
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Simplify the expression completely.
(-3c-2d2e101-3)
Answer:
-3c-2d^(2)e^(101)-3
Step-by-step explanation:
1. Consider a sphere with a radius with an 18 inches.
Part A: Determine the surface area of the sphere.
Answer:
Surface Area = 4071.5
Step-by-step explanation:
A = 4 π [tex]r^2[/tex]
A = 4 ×π×18×18
A = 4071.5
Bravo!
HELP PLEASEEE ASAP!! THIS IS AN EMERGENCY
Answer:
the answer is c
Step-by-step explanation:
What is the surface area?
5 cm
1 cm
3 cm
Answer:
46 cm
Step-by-step explanation:
2(5*1) = 10
2(1*3) = 6
2(3*5) = 30
add all those together and you get 46