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3 years ago

9

Bianca has to drive 180 miles to her aunts house. She drove 30% of the total distance before lunch. How many miles did Bianca dr

ive before lunch?

1 answer:

Rom4ik [11]3 years ago

6 0

180 times 0.3 would get you the answer. 54 miles would be the answer.

BIANCA DROVE 54 MILES BEFORE LUNCH

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Solve systems of equations algebraically x+4y=3 and 2x-3y=17<br> what is the system of equations

Snezhnost [94]

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3 years ago

How many solutions are there to the equation below?<br> 8x + 47 = 8(x + 5)

qaws [65]

Answer:

there are 0 solutions to the equation

Step-by-step explanation:

To know how many solutions are in the problem, we have to solve for x and see what result we have left. According to the result, we will know how many solutions there are

8x + 47 = 8(x + 5)

8x + 47 = 8*x + 8*5

8x + 47 = 8x + 40

8x - 8x = 40 - 47

0 = -7

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2 years ago

Organize the following expressions from greatest to least by number of terms:

Naddik [55]

1- <span>D. 9x2yz
2- </span><span>C. 2x2y + x2 − 3x + 4
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2 years ago

Could someone help me with this?? thanks!

ANEK [815]

Answer:

Step-by-step explanation:

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2 years ago

Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.

larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

$f(x)=x^{2}-8 x+24$

To find:

The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

$y=a x^{2}+b x+c$

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is $x=\frac{-b}{2 a}$

By applying the values, the axis of symmetry of given equation is

$x=\frac{-(-8)}{2(1)}=4$

The vertex form of quadratic equation is $f(x)=a(x-h)^{2}+k$

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

$f(x)=x^{2}-8 x+24$

$f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24$

$f(x)=(x-4)^{2}+8$

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

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2 years ago