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3 years ago

5

Show how to use the distributive property to find 7 x 1214

1 answer:

Sophie [7]3 years ago

8 0

Answer:8498

Step-by-step explanation:

(7*1000)+(7*200)+(7*10)+(7*4)

7000+1400+70+28

8498

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You are given the list of numbers, <br> . Which numbers are rational? Irrational?

Nostrana [21]

Answer: A, B, D, C, and E. I hope this is right, since it asked for rational numbers.

Step-by-step explanation:

4 0

2 years ago

PLEASE HELP ASAP

Crank

Option D: $f(x)=-2(x+2)(x-4)$ is the function

Explanation:

Let the general form of quadratic equation be $y=a x^{2}+b x+c$

The function passes through the intercepts $(-2,0)$ and $(4,0)$ and also passes though the point $(-1,10)$

Substituting the points $(-2,0)$ , $(4,0)$ and $(-1,10)$ in the equation $y=a x^{2}+b x+c$ , we get,

$4a -2b+c=0$ -----------(1)

$16a +4b+c=0$ ----------(2)

$a-b+c=10$ -----------(3)

Subtracting (1) and (2), we get,

$\ \ 4a -2b+c=0\\ 16a +4b+c=0\\\---------\\ \ \ -12a-6b=0$ -----------(4)

Subtracting (2) and (3), we get,

$16a +4b+c=0\\\ \ a \ \ - \ \ b \ +c=10\\---------\\15a+5b=-10$ ------------(5)

Multiplying equation (4) by 5 and equation (5) by 4, to cancel the term b when adding, we get,

$-60a-30b=0\\\ 90a+30b=-60\\--------\\30a=-60\\\ \ a=-2$

Thus, the value of a is $a=-2$

Substituting $a=-2$ in equation (4), we get,

$\begin{aligned}-12 a+6 b &=0 \\-12(-2)-6 b &=0 \\ 24-6 b &=0 \\ 24 &=6 b \\ 4 &=b \end{aligned}$

Thus, the value of b is $b=4$

Now, substituting the value of a and b in equation (1), we have,

$\begin{aligned} 4 a-2 b+c &=0 \\ 4(-2)-2(4)+c &=0 \\-8-8+c &=0 \\ c &=16 \end{aligned}$

Thus, the value of c is $c=16$

Now, substituting the value of a,b and c in the general formula $y=a x^{2}+b x+c$ , we get,

$y=-2x^{2} +4x+16$

Taking out the common term as -2 we get,

$y=-2(x^{2} -2x-8)$

Factoring , we get,

$y=-2(x+2)(x-4)$

Thus, the function is $f(x)=-2(x+2)(x-4)$

7 0

2 years ago

The table shows the changes from the average water level of a pond over several weeks. Order the numbers from least to greatest.

Verdich [7]

Be more specific with the question that you’re asking bc I will love to help

3 0

2 years ago

Can you give me an equation that equals to 31

lys-0071 [83]

There are m any examples of equations that equal 31. Here are a few:
17 + 14
30 + 1
60 - 29

I like this one though (its 2 step)

(15 x 2) + 1

Hope this helped :)

7 0

3 years ago

Read 2 more answers

What is the equation of a circle whose radius is 16 units and center is at (2,-5)?

STatiana [176]

Answer:

The general equation of the circle is
$( {x - a})^{2} + ({y - b})^{2} = {r}^{2} \\ therefore \: we \: \: have \: \\ ( {x - 2})^{2} + (y - ( - 5)) {}^{2} = ({16})^{2} \\ ({x - 2})^{2} + ( {y + 5})^{2} = 256$
HOPE THIS HELPS!

8 0

1 year ago