Which represents the solution(s) of the graphed system of equations, y = x2 + x -2 and y = 2x - 2?
Ty
2
1
O (-2, 0) and (0, 1)
O (0, -2) and (1,0)
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Answer:

B

Step-by-step explanation:

3t+6=9 or -9
1. 3t+6=9

3t=9-6=3

t=3/3-=1

2. 3t+6=-9

3t=-9-6=-15

t=-15/3=-5

t=1, -5

Answer:

B {-5, 1}

Step-by-step explanation:

Separate into possible cases

3t + 6 = 9

3t + 6 = -9

Solve the equations

t = 1

3t + 6 = -9

The equation has 2 solutions

t = -5

t = 1

Answer:

56

Step-by-step explanation:

just multiply 8 by 7. to check do 56 divided by 7 which equals 8.

Answer:

P=56

Step-by-step explanation:

Multiply both sides by 7 &p/7=8x7

Simplify P=56

Answer:

it is a

Step-by-step explanation:

I might not know but I guess the answer is D

Answer:

8+8+13+13= 42yd

Length: 13

Width: 8

Multiplied equals:

Answer: Choice D

Explanation:

We can verify this by noticing the ratio between adjacent terms is the same

The common ratio is -4. Each time we need a new term, multiply the previous term by -4. Example: -16*(-4) = 64.

The height of the arch, measured 3 inches from the left side of the arch is 30 inches.

Given

A sculptor creates an arch in the shape of a parabola.

When sketched onto a coordinate grid, the function f(x) = –2(x)(x – 8) represents the height of the arch, in inches, as a function of the distance from the left side of the arch, x.

The path of a projectile under the influence of gravity follows a curve of this shape.

Therefore,

The height of the arch, measured 3 inches from the left side of the arch is;

[tex]\rm f(x) = -2(x)(x - 8)\\\\f(3) = -2(3)(3-8)\\\\f(-3)=(-6)(-5)\\\\f(-3)=30[/tex]

Hence, the height of the arch, measured 3 inches from the left side of the arch is 30 inches.

To know more about Parabola click the link given below.

https://brainly.com/question/8495268

Answer:30 inches

Step-by-step explanation:

just took test

Step-by-step explanation:

if seven times a number decreased by 4 is less than 27,then find the solution set

Answer:

= 3z4 - 2z2 -5z

Step-by-step explanation:

Answer:

there would be 12 in each group or you could do 6 groups with 12 in them

Answer:

36/24 is greater than 9/6

Step-by-step explanation:

He told me my fish would die

The next day dead! (No, no!)

He told me I'd grow a gut!

And just like he said... (no, no!)

He said that all my hair would disappear, now look at my head (no, no! Hey!)

Your fate is sealed when your prophecy is read!

The ratios of the fraction [tex]\frac{9}{6}[/tex] and [tex]\frac{36}{24}[/tex] are compared and  [tex]\frac{9}{6}=\frac{36}{24}[/tex].

Given data:

The first fraction is represented as p.

The value of [tex]p=\frac{9}{6}[/tex].

The second fraction is represented as q.

The value of [tex]q=\frac{36}{24}[/tex]

Now, multiplying the fraction p by [tex]\frac{4}{4}[/tex] :

[tex]p=\frac{9}{6}*\frac{4}{4}[/tex]

On simplifying the equation:

[tex]p=\frac{36}{24}[/tex]

So, the value of p = q.

Hence, the ratios are similar.

To learn more about fractions, refer:

https://brainly.com/question/29766013

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Answer:

24 (units)

Step-by-step explanation:

Because Quadrilateral EFGH is being dilated by a scale factor of 3/4, this means that each side of E'F'G'H' gets multiplied by 3/4. In this case, we are going to divide by 3/4 to return to the original figure (or multiply by 4/3 since that is the reciprocal)

This means that side HE is 18/(3/4) = 18(4/3) = 72/3 = 24 units

Answer:

769.50

Step-by-step explanation:

First find how much is one student

95/20=4.75

Then, 162 x 4.75=769.50

if we do 95/20 we get 4.25 that would be the cost for each student and all we have to do is multiply 162 by 4.25 and u get your answer of 688.5

Answer:

31

Step-by-step explanation:

Add 4 for every day there after. 15+4=19; 19 +4=23 and so on.

Answer:

your answer would be 4.2 x 10-4

Step-by-step explanation:

Answer:

Taking the square root

Step-by-step explanation:

[tex]x^2-36=0[/tex]

[tex]x^2=36[/tex]

[tex]x=\pm6[/tex]

Alternatively, you can use a difference of squares to factor and solve:

[tex]x^2-36=0\\(x+6)(x-6)=0\\x=-6,x=6[/tex]

Answer:

KM/KL = HJ/HI

Step-by-step explanation:

Triangle JIH is similar to MLK due to Angle-Angle similarity. So, KM/KL = HJ/HI

Answer:

A - -4

Step-by-step

Answer:

The answer is A Or 4

Step-by-step explanation:

EDGE 2022

Considering the definition of fraction, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].

The fraction is an expression that marks a division, therefore, it can be said that a fraction represents a distribution or a portion of a unit.

In other words, a fraction is a representation of the parts of a whole, that is, it is divided into equal parts and each part is the fraction of the whole.

Fractions are composed of an upper term called the numerator and a lower term known as the denominator separated by an oblique or horizontal bar.

In this case, you know:

So, the movie is 2 hours and 20 minutes long. (2 hours and 40 minutes - 20 minutes [the previews])

Knowing that 1 hour contains 60 minutes, then:

Then, the fraction of the total time is the actual movie is:

[tex]\frac{140 minutes}{160 minutes}[/tex]

To simplify a fraction is to transform it into a simpler equivalent fraction. To simplify a fraction, we divide the numerator and denominator by the same number.

Finally, simplifying, the fraction of the total time is the actual movie is [tex]\frac{7}{8}[/tex].

Learn more about fraction:

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You can use the definition for the vertex form of a quadratic equation and then can can do conversion of that quadratic equation in that form.

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

If a quadratic equation is written in the form

[tex]y = a(x-h)^2 + k[/tex]

then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point is called the vertex of the parabola that quadratic equation represents.

We first take out coefficient of x squared, and then inside the bracket, we try to make perfect square like situation.

The given equation is [tex]h(x) = 7 + 10x + x^2\\[/tex]

Converting it in vertex form, we get:

[tex]h(x) = 7 + 10x + x^2\\\\\\h(x) = x^2 + 10x + 7\\h(x) = x^2 + 10x + 25 -25 + 7\\h(x) = (x+5)^2 - 18 \text{\: (Note how the form} \: a^2 + b^2 + 2ab = (a+b)^2 \:\rm got\: made)[/tex]

Thus, we have h = -5 and k = -18

The plot of the given equation is attached below.

Thus,

The correct vertex form of the given equation is given by

Option C: [tex]h(x) = (x-5)^2 - 18[/tex]

Learn more about vertex form of quadratic equations here:
https://brainly.com/question/9912128

Answer:

c

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

p = -2.5

r = 0.5

p + r =

-2.5 + 0.5 =

-2

Answer:

-1

Step by step explanation

Answer:

Suzy got the best deal per once

Step-by-step explanation:

The poverty level cutoff in 1987 to the nearest dollar  was $10787.

The midpoint as the point that divides the line segment exactly in half having two equal segments. Therefore, the midpoint presents the same distance between the endpoints for the line segment. The midpoint formula is: [tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex].

For solving this exercise, first you need plot the points in a chart. See the image.

Your question asks to approximate the poverty level cutoff in 1987 to the nearest dollar using the midpoint formula. Note that the year 1987 is between 1980 and 1990, thus you should apply the midpoint formula from data for this year (1987).

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429),\:\left(1990,13145):\quad \left(\frac{1990+1980}{2},\:\:\frac{13145+8429}{2}\right)\\\\ \\[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\left(\frac{1990+1987}{2},\:\frac{13145+3843}{2}\right)\\ \\ =\left(\frac{3977}{2},\:\frac{21574}{2}\right)[/tex]

[tex]\mathrm{Midpoint\:of\:}\left(1980,8429)\:=\=(\frac{3977}{2},10787)[/tex]

The answer for your question will be the value that you calculated for the y-coordinate. Then, the poverty level cutoff in 1987 to the nearest dollar  was $10787.

Read more about the midpoint segment here:

https://brainly.com/question/11408596

Answer:

#1 D. 360

#2 54

#3 D. 252

Step-by-step explanation:

1. What is the area of the wall that surrounds the garage door?

Notice that the wall can be broken into two parts, a parallelogram and a triangle. The triangle's base would be 30 - 18 (as it is stated that the parallelogram's length is 18), while the height is shared with the rectangle's width, which is 12:

Area of triangle = 1/2bh

b = 12

h = 12

Area of triangle = (12 * 12)/2 = (144)/2 = 72 ft²

Area of parallelogram = bh

b = 18

h = 12

Area of parallelogram = (18 x 12) = 216 ft²

216 + 72 = 288 ft²

Next, find the amount missing because of the garage door. It is given that the door's area can be found by multiplying the length and side (both 9ft). Subtract the gotten number from the total amount:

Area of parallelogram = bh

b = 9

h = 9

9 x 9 = 81 ft²

288 - 81 = 207 ft²

A) 207 ft²

~

First, note that there are two full rows in the bottom. This can be made into the rectangle. The rest would be solved using the triangle formula. Add the two results together at the end to get your total units.

Rectangle:

base = 9 units

height = 2 units

Area of Rectangle = base x height

                               = 9 x 2

                               = 18 units²

Triangle:

base = 9 units

height = 4 units

Area of Triangle = (base x height)/2

                           = (9 x 4)/2

                           = (36)/2

                           = 18 units²

Add the two areas together for your total units²:

18 + 18 = 36 units²

36 units²

~

The "base" of the triangle is 3 ft greater than the height of the triangle. The given height is that it is 12 ft. This means that the base is 15 ft.

Use a² + b² = c² to solve for the sides:

c = hypotenuse = 21 ft

b = base = 15 ft

c² - b² = a²

21² - 15² = a²

(441) - (225) = a²

a² = 216

√a² = √216

a = √216 = 6√6

~

I am not too sure if there is actual enough information that can be used to solve for this triangle. I understand that you will need the answers soon, so I will try to work on it and edit my answer later on. In my opinion, they would need to give at least one more measurement or information regarding which side is which to be able to obtain the answer. If i had to guess, I would guess as well the largest one, considering the 12 ft and 21 ft. Again, they will need to define "b", as well as what the "base" & "height" would be.

Answer:

x(x+13), or x^2+13x

Step-by-step explanation:

You factor one x out, or you can just add the x values.

[tex]\stackrel{mixed}{6\frac{3}{7}}\implies \cfrac{6\cdot 7+3}{7}\implies \stackrel{improper}{\cfrac{45}{7}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\frac{45}{7}\textit{\% of 4570}}{\left( \cfrac{~~\frac{45}{7}~~}{100} \right)4570}\implies \left( \cfrac{45}{700} \right)4570~~ \approx~~293.79[/tex]

Answer:

x = 3

Step-by-step explanation:

15 = 5x

15/5 = 5x/5

3 = x

x = 3