Which of the following functions matches this graph?

The measure of each angle in the diagram are 4y° = -82°, (6y - 41)° = 164°, (3x + 2)° = 98°, 2(x + 17)°= 98

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Two lines are intersecting each other at a point making two pairs of vertical angles.

The pair of vertical angles are equal in measure.

4y° = (6y + 41)° [Vertical angles]

4y - 6y = 41

2y = -41-----(1)

(3x + 2)° = 2(x + 17)° [Vertical angles]

(3x + 2)° = 2x + 34°

x = 32 ------(2)

Therefore, 4y° = -82°

(6y - 41)° = 164°

(3x + 2)° = 98°

2(x + 17)°= 98

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Answer:

78 HAMBURGERS!!!

Step-by-step explanation:

LET H BE THE NUMBER OF HAMBURGERS HOLD!!!

2H IS THE NUMBER OF CHEESEBURGERS BECAUSE THERE WERE 2 TIMES AS MANY CHEESEBURGERS SOLD AS HAMBURGERS!!!

H+2H=234 | THE TOTAL NUMBER OF CHEESEBURGER AND HAMBURGER SOLD!!!

3H=234 | ADD LIKE TERMS!!

DIVIDE BOTH SIDES BY 3 | ISOLATE THE VARIABLE!!!

H=78

THAT IS YOUR ANSWER!!!

- Khan Academy Advance!!!

Answer: 78 hamburgers

Step-by-step explanation:

      Let x be the number of hamburgers sold. We will write an equation for the problem and solve.

      2x + x = 234

      3x = 234

      x  = 78

       78 hamburgers were sold on Saturday.

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Answer:

Step-by-step explanation:

y=

[tex] \frac{k}{x} [/tex]

when x=4 and y = 8

k =xy

k=4×8=32

:- y=

[tex] \frac{32}{x} [/tex]

when x = 2

y=

[tex] \frac{32}{2} [/tex]

:- y = 16

Answer:

Step-by-step explanation:

1[tex]\frac{1}{2}[/tex]=1×[tex]\frac{2}{2}[/tex], +[tex]\frac{1}{2}[/tex]

(-[tex]\frac{3}{2}[/tex])÷[tex]\frac{3}{4}[/tex]×(-[tex]\frac{2}{3}[/tex])

[tex]\frac{3}{2}[/tex]×[tex]\frac{4}{3}[/tex]×[tex]\frac{2}{3}[/tex]

[tex]\frac{1}{2}[/tex]×4×[tex]\frac{1}{3}[/tex]

4×[tex]\frac{1}{3}[/tex]=[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]+[tex]\frac{1}{3}[/tex]

=[tex]\frac{4}{3}[/tex]

Answer:

The answer is one solution because the graphs are together in one specific point.

Answer:

Two solutions

Step-by-step explanation:

Answer:

The answer is ≈ 6214.78

(could put the sign because it wouldnt let me)

Step-by-step explanation:

Formulas:

[tex]A= {2} \pi r h + 2\pi r^{2}[/tex]

[tex]V=\pi r^{2}h[/tex]

[tex]V= A \frac{r}{2} -\pi r^{2} =1890 *\frac{9}{2} -\pi *9^{3} = 6214.77896[/tex]

rounded= 6214.78

~rere

Step-by-step explanation:

f(x)=3x²-4x+8

f(1)=(3*1)²-4(1)+8

f(1)=3²-4+8

f(1)=9-4+8 or using BODMAS

f(1)=5+8 or f(1)=9-12

f(1)=13 or f(1)=-3

Let's see

[tex]\\ \rm\Rrightarrow log_2(x-2)+log_2x=3[/tex]

[tex]\\ \rm\Rrightarrow log_2(x(x-2))=3[/tex]

[tex]\\ \rm\Rrightarrow x²-2x=8[/tex]

[tex]\\ \rm\Rrightarrow x(x-2)=8[/tex]

Either x=8

Or

Solution set

x[8,10]

The linear equation with a slope of 1 that passes through (3, 5) is:

y = x + 2.

The general linear equation is given by:

y = a*x + b

Where b is the y-intercept and a is the slope.

Here we know that the slope is 1, so we have:

y = x + b

And we also know that the line passes through (3, 5), then we must have that:

5 = 3 + b

We can solve that for b:

b = 5 - 3 = 2

So the linear equation is:

y = x + 2.

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Answer:

The answer is 3 cm.

Step-by-step explanation:

To find the width of the cereal box, we must first take the volume and divide it by the length and then divide that by the height.

For this equation, we would do the following:

3456 ÷ 36 = 96 cm²

Now that we have divided volume by length, let's divide by height next:

96 ÷ 32 = 3 cm

Now we know the height of the box. To check if this is correct, lets multiply the length, height, and width and see if we get the volume that we started with.

3 × 32 × 36 = 3456 cm³

Since we got the original volume that we started with, we know that the width is 3 cm which is your answer.

Answer:

==7x3−5x2+6x−5

Step-by-step explanation:

=5x3+7x+(-8)+2x3+−5x2+−x+3

Combine Like Terms:

=5x3+7x+−8+2x3+−5x2+−x+3

=(5x3+2x3)+(−5x2)+(7x+−x)+(−8+3)

=7x3−5x2+6x−5

Answer:

6[tex]\sqrt{17}[/tex] or 24.738634

Step-by-step explanation:

We can use the Pythagorean theorem to find the length of the sides. We will only need to find the length of AB and AD, as AB = DC and AD = BC.

The picture shows the Pythagorean theorem being used to find AB and AD.

AB = [tex]\sqrt{17}[/tex]

AD = [tex]\sqrt{68}[/tex]

Now we can find the perimeter

2([tex]\sqrt{17}[/tex]) + 2([tex]\sqrt{68}[/tex]) = 6[tex]\sqrt{17}[/tex]

Answer:

b) x + 14

Step-by-step explanation:

If I sold 14 more cups that what I sold Monday, then my answer should be (what I sold Monday) + (14).

Its like saying suppose I drank x gallons of water today. And next day, I drank 14 more gallons than yesterday. That means, I drank the initial amount of gallons (x) & 14 more gallons today (x+14)

answer : 12x²

steps

means put -2x where x is

let f(x) = 3x² what i f(-2x)

3(-2x)²

pemdas

-2x times -2x

4x²

3 times 4x²

12x²

Answer:

here is your answer.

Step-by-step explanation:

total frequency is 24

Answer:

5% account = $1,240

10% account = $2,190

Step-by-step explanation:

Let's assume the amount of savings in the 5% account is x.

Thus the amount of savings in the 10% account is (x + $950).

We can write the following equation from the interest amount:

[5% x ] + [10% (x + $950)] = $281

5%x + 10%x + $95 = S281

15%x = $186

x = $1,240

There is $1,240 in the 5% account

Therefore, on the 10% account there is $1,240 + $950 = $2,190

The possible coordinates of C and D are: C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

The given parameters are:

A = (4,3)

B = (4,-5)

Perimeter, P = 30 units

Since points A and B are on the same x-coordinate, then the distance between them is:

AB = 3 - - 5

AB = 8

The perimeter of the rectangle is calculated using:

P = 2 *(AB + CD)

This gives

2 * (8 + CD) = 30

Divide by 2

8 + CD = 15

Subtract 8 from both sides

CD = 7

This means that points C and D are 7 units from points A and B, respectively.

If A = (4,3) and B = (4,-5), then the possible coordinates of C and D are:

C = (11,3) and D = (11,-5) or C = (-3,3) and D = (-3,-5)

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I assume the given expression is

[tex]\sqrt x \sqrt[4]{x}[/tex]

We can write each root as a rational power of x, then add the exponents:

[tex]\sqrt x \sqrt[4]{x} = x^{\frac12} x^{\frac14} = x^{\frac12 + \frac14} = x^{\frac34}[/tex]

Then putting it back into radical form, we have

[tex]\sqrt x \sqrt[4]{x} = \sqrt[4]{x^3}[/tex]

Answer:

The correct answer is $12

Step-by-step explanation:

To check, subtract 12 from 31

31 - 12 =19

Multiply 19 by 2

19 x 2 =38

Add 12

38 + 12 =50

Answer:

145

Step-by-step explanation:

you add the trucksiuts sold on monday Tuesday Wednesday and subtrct the from the total tracksuits .

So probability of red rose is 1/24

Probability of white rose is 1/28

TOTAL roses= 50

P(A$\cap$ B)=1/24+1/28-1/50

So Probability of white is

Answer:

“How old am I?” is not a statistical question, but “How old are the students in my school?” is a statistical question because one anticipates variability in students' ages.

Answer:

[tex]\huge\boxed{\sf \frac{5}{15} + \frac{4}{14} }[/tex]

Step-by-step explanation:

Total number of marbles = 5 + 8 + 2 = 15

Number of red marbles = 5

Probability to draw a red marble at the first trial = 5/15

Number of marbles left = 15 - 1 = 14

Number of Red marbles left = 5 - 1 = 4

Probability to draw a red marble at the second trial = 4/14

[tex]\displaystyle =Probability \ of \ drawing \ a \ red \ marble \ at \ the \ (second \ attempt +first \ attempt)\\\\= \frac{5}{15} + \frac{4}{14} \\\\\rule[225]{225}{2}[/tex]

Answer:

what is the figure so i can awnser iit

Step-by-step explanation:

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