Select all of the statements that are true for the given parabola.

Answer:

x=10

Step-by-step explanation:

Answer: Area of ΔABC is 2.25x the area of ΔDEF.

Step-by-step explanation: Because equilateral triangle has 3 equal sides, area is calculated as

[tex]A=\frac{\sqrt{3} }{4} a^{2}[/tex]

with a as side of the triangle.

Triangle ABC is 20% bigger than the original, which means its side (a₁) measures, compared to the original:

a₁ = 1.2a

Then, its area is

[tex]A_{1}=\frac{\sqrt{3} }{4}(1.2a)^{2}[/tex]

[tex]A_{1}=\frac{\sqrt{3} }{4}1.44a^{2}[/tex]

Triangle DEF is 20% smaller than the original, which means its side is:

a₂ = 0.8a

So, area is

[tex]A_{2}=\frac{\sqrt{3} }{4} (0.8a)^{2}[/tex]

[tex]A_{2}=\frac{\sqrt{3} }{4} 0.64a^{2}[/tex]

Now, comparing areas:

[tex]\frac{A_{1}}{A_{2}}= (\frac{\sqrt{3}.1.44a^{2} }{4})(\frac{4}{\sqrt{3}.0.64a^{2} } )[/tex]

[tex]\frac{A_{1}}{A_{2}} =[/tex] 2.25

The area of ΔABC is 2.25x greater than the area of ΔDEF.

The total book checked out by Han will be equal to 8 which is 4 less than Jada.

The four basic mathematical operations are the addition, subtraction, multiplication, and division of two or even more integers. Among them is the examination of integers, particularly the order of actions, which is crucial for all other mathematical topics, including algebra, data organization, and geometry.

As per the given information in the question,

Total books checked out Jada = 12

Han has 1/3 less than Jada so,

12 × 1/3

= 4 books less than Jada.

So,

12 - 4 = 8 books checked out Han.

To know more about arithmetic operations:

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Answer:

I think the second one

Step-by-step explanation:

I haven't learned how to do this.

Answer:

1st Option:

[tex]f(x)=-2|x|+1[/tex]

Step-by-step explanation:

The attached picture below is proof that [tex]f(x)=-2|x|+1[/tex] is the correct function that represents the graph.

Hope this helps! :)

Answer:

Concept: Higher Level Mathematics

Answer:

3×5×9

Step-by-step explanation:

It's the only answer that can be applied

But you have to expand it farther

2×5×9

2×3×3×5

Note:if you want the answer from your options the answer is 2×5×9

Otherwise 2×3×3×5

Answer: I’m assuming that these are Angle measures. S=3

Step-by-step explanation:

180/3=60

20*3=60

S=3

Answer:

a= 2

b=6

Step-by-step explanation:

Follow me Please

Answer:

$5 per adult and $3 per kid

Step-by-step explanation:

5x10=50

3x3=9

50+9=59

4x5=20

3x3=9

20+9=29

Our range is all set of y-values. Focus on y-value only.

Our range is {1,5,-1,7,-2}

So the answer is 1, 5,-1,7 and 2

Answer:

Step-by-step explanation:

Answer:

about 50

Step-by-step explanation:

they a move up 5 minutes eace half mile

dont come at me if it is wrong :)

Answer:

[tex]a = -6, b = - 8[/tex]

Remaining factor = [tex]x+4[/tex]

Step-by-step explanation:

Given that:

Two polynomials:

[tex]x^{2} -x-2[/tex] and [tex]x^3 +3 x^2 +ax +b[/tex]

[tex]x^{2} -x-2[/tex] is a factor of [tex]x^3 +3 x^2 +ax +b[/tex].

To find:

The values of [tex]a[/tex] and [tex]b[/tex] from the cubic equation and the remaining factor.

Solution:

Let us first of all, factorize [tex]x^{2} -x-2[/tex].

[tex]x^{2} -2x+x-2=0\\\Rightarrow x(x-2)+1(x-2)=0\\\Rightarrow (x+1)(x-2)=0\\\Rightarrow x = -1, 2[/tex]

There are two factors of the given quadratic equation.

These two factors must also be factors of the cubic equation as well.

Putting [tex]x = 2[/tex]:

[tex]2^3 +3 \times 2^2 +a\times 2 +b =0\\\Rightarrow 2a+b=-20 ..... (1)[/tex]

Putting [tex]x = -1[/tex]:

[tex](-1)^3 +3 \times (-1)^2 +a\times (-1) +b =0\\\Rightarrow -a+b=-2 ..... (2)[/tex]

Subtracting (2) from (1):

[tex]3a = -18\\\Rightarrow a = -6[/tex]

From equation (1):

[tex]2\times (-6) + b=-20\\\Rightarrow b = -8[/tex]

Putting the values of [tex]a[/tex] and [tex]b[/tex] in the cubic equation, we get:

[tex]x^3 +3 x^2 -6x -8[/tex]

Dividing the cubic equation with quadratic, we get:

[tex]\dfrac{x^3 +3 x^2 -6x -8}{x^{2} -x-2} = x+4[/tex]

Answer:

2, 3, and 5

Step-by-step explanation:

got it right on test.

The scatterplots (B), (C), and (E) have no correlation. which is the correct answer would be options (B), (C), and (E)

The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.

When analyzing data with more than two variables, a scatter plot is used, which has a separate vertical axis for each variable.

According to the given option,

The second has no slope, therefore there is no correlation.

The third has a zero average slope with no upward or descending trend; no correlation.

The fifth has a general increasing tendency and will have a non-zero correlation.

Thus, the scatterplots (B), (C), and (E) have no correlation.

Hence, the correct answer would be options (B), (C), and (E),

Learn more about the Scatter plot here:

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Answer:

Your answer is (4,1).

Step-by-step explanation:

5x - 2y = 18

5(4) - 2(1) = 18

20 - 2 = 18

18 = 18 (Which means it's correct)

Let me know if you need anymore help!

Answer:

-24

Step-by-step explanation:

hi

Answer:

4x+6

Step-by-step explanation:

The perimeter of the field can be obtained by calculating the distance around the field.

in this case, we know that the shape of the field is a rectangle.

The perimeter of a rectangle can be obtained by using the formula

[tex]2(l+b)[/tex]

The width of the rectangle is given as x yards

The length of the rectangle is given as x +3 yards

Therefore, an expression to determine the perimeter of the rectangle can be given as

[tex]2(x+3+x)\\=2(2x+3)\\=4x+6[/tex]

Answer:

9.072

Step-by-step explanation:

Answer:

9.072

Step-by-step explanation:

For this problem, we will simply use the property of 0 and addition to accumulate a sum.

Note, any digit not shown to the right of a decimal can be written with a zero. So 5.9 can be rewritten as 5.900.

Let's perform the addition.

5.900

+ 3.172

-----------

9.072

Using the idea of zeros to the right of the decimal, we are able to trivially complete this sum.

Hence, the answer is 9.072.

Cheers.

Answer:

$61

Step-by-step explanation:

When each company sells 6 shirts, they have $48 (CS) and $45 (TT). When you add their shipping prices, they both have $61.

amswer:

-13 feet

step by step:

-18+5=-13

Answer:

Drink 1 will taste different.

Step-by-step explanation:

Given the mixtures:

Mixture 1: 1 cup water and 1.5 teaspoons drink mix

Mixture 2: 2 cups water and [tex]\frac{1}{2}[/tex] teaspoons drink mix

Mixture 3: 1 cup water and [tex]\frac{1}{4}[/tex] teaspoons drink mix

To find:

Which of the mixtures will taste different?

Solution:

To answer this, we need to find the ratio of all the mixtures.

First of all, Let us make ratio of water as 1 quantity.

Ratio of 1st mixture = 1 : [tex]\frac{3}{2}[/tex]

Ratio of Mixture 2 contains 2 cups of water.

Let us divide the ratio of mixture 2 with 2, we get:

[tex]\frac{2}{2}:\dfrac{\frac{1}{2}}{2}\\\Rightarrow 1:\dfrac{1}{4}[/tex]

Ratio of 3rd mixture = [tex]1:\frac{1}{4}[/tex]

Ratio of drink mix of 1st mixture with 1 cup water is different.

So, drink 1 will taste different.

Answer:

8$ is 3 burgers

40$ is 15 burgers

Step-by-step explanation:

Answer:

a₄ = 2

Step-by-step explanation:

Each term in an arithmetic sequence is obtained by adding the common difference to the previous term, then

a₃ = 7 , so

a₄ = a₃ + 5 = 7 - 5 = 2

Answer:

t4=a+(n-1)d

t4=7+(4-1)-5

t4=7+(-15)

t4=-8

Answer:

I think its A

Step-by-step explanation:

Answer:

The results of this survey may be affected by nonrepsonse bias

Step-by-step explanation:

Just took this test

Answer:

The results of the survey may be affected by no response bias

Step-by-step explanation:

Answer:

9492 divided by 20 equals

474 with a remainder of 12

Step-by-step explanation:

or 2373/5 or 474.6