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DerKrebs [107]
3 years ago
13

How do you solve -6x+5t=-30

Mathematics
1 answer:
Sever21 [200]3 years ago
6 0

Answer:

Sonic has the answer

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

t

=

−

1

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Find an expression for a cubic function f if f(4) = 96 and f(-4) = f(0) = f(5) = 0. Part 1 of 4 A cubic function generally has t
Bezzdna [24]

Given a polynomial p(x) and a point x_0, we have that

p(x_0) = 0 \iff (x-x_0) \text{\ divides\ } p(x)

We know that our cubic function is zero at -4, 0 and 5, which means that our polynomial is a multiple of

(x+4)(x)(x-5) = x(x+4)(x-5)

Since this is already a cubic polynomial (it's the product of 3 polynomials with degree one), we can only adjust a multiplicative factor: our function must be

f(x) = ax(x+4)(x-5),\quad a \in \mathbb{R}

To fix the correct value for a, we impose f(4)=96:

f(4) = 4a(4+4)(4-5) = -32a = 96

And so we must impose

-32a=96 \iff a = -\dfrac{96}{32} = -3

So, the function we're looking for is

f(x) = -3x(x+4)(x-5)=-3x^3+3x^2+60x

4 0
3 years ago
Model subtraction of fraction:
cricket20 [7]
The entire race is 1 full race.
One full race is 1.
He ran 3/8 of 1, so he ran 3/8.
He needs to run the rest of the race.
The rest is unknown, so we call it x.
When you add 3/8 to the unknown, you get the full race.
The equation is

x + 3/8 = 1

Change 1 to a denominator of 8.

x + 3/8 = 8/8

Subtract 3/8 from both sides.

x = 5/8

Answer: He still needs to run 5/8 of the race.
5 0
3 years ago
3 = –(–y + 6)<br> a. –9<br> b. –3<br> c. 3<br> d. 9
Vlad1618 [11]
3 = -(-y + 6)

First, simplify brackets. / Your problem should look like: 3 = y - 6
Second, add 6 to both sides. / Your problem should look like: 3 + 6 = y
Third, simplify 3 + 6 to 9. / Your problem should look like: 9 = y
Fourth, switch sides. / Your problem should look like: y = 9

The answer is D) 9.

7 0
3 years ago
F(x) =12x and g(x) =x+9​
aivan3 [116]

Answer:

= 20

Step-by-step explanation:

6 0
3 years ago
8 cups of orange juice is used for the fruit punch for every 12 cups of apple juice. If there is a total of 60 cups of fruit pun
Ostrovityanka [42]

Answer:

It would be 40 Orange Juice cup

Step-by-step explanation:

Cause 12 times 5 would equal 60

So if you times 5 and 8 it would be 40

6 0
3 years ago
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