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storchak [24]
3 years ago
15

Which function is equivalent to f(x)=-4(x+7)^2-6

Mathematics
1 answer:
Bess [88]3 years ago
5 0

Pls mark Brainliest.

Answer:

f(x) = -4x² - 64x - 202

Step-by-step explanation:

We can simplify this quadratic function given in vertex form into standard form by simplifying the exponents and adding like terms.

f(x) = -4(x+7)^2 - 6

f(x) = -4(x^2 + 14x + 49) - 6

f(x) = -4x² - 64x - 196 - 6

f(x) = -4x² - 64x - 202

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Step-by-step explanation:

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3 years ago
How do you work out 4/5 of 25/32 as fraction
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\frac{4}{5}*\frac{25}{32}=\frac{1}{1}*\frac{5}{8}\to\boxed{\frac{5}{8}}
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3 years ago
a number is equal to twice a smaller number plus 3. The same number is equal to twice the sum of the smaller number and1. How ma
NeX [460]

Answer:

There is NO solution

Step-by-step explanation:

Considering 'y' be the number

Considering x be the smaller number

As 'y' is equal to twice a smaller number plus 3.

so

y = 2x + 3

also

y is equal to twice the sum of the smaller number and 1.

so

y = 2x + 1

so the system of equations become

y = 2x + 3

y = 2x + 1

solving

\begin{bmatrix}y=2x+3\\ y=2x+1\end{bmatrix}

\mathrm{Subsititute\:}y=2x+1

\begin{bmatrix}2x+1=2x+3\end{bmatrix}

\mathrm{Refine\:}2x+1=2x+3

-2=0

-2=0\:\mathrm{\:is\:false,\:therefore\:the\:system\:of\:equations\:has\:no\:solution}

\mathrm{No\:Solution}

Therefore, there is NO solution.

7 0
3 years ago
Can someone help me work out question 3?
Nezavi [6.7K]
To find the point of intersection, we want to set the two equations equal to each other to find where they meet. The problem is, we have two variables, which means we can't just set them equal to each other as is. We need to manipulate the equations so that we can remove one of the variables at a time to solve for the other one.

First, let's move y to one side so we can solve for x.
2x-3y=9
2x-9=3y
y=(2x-9)/3

5x+4y=11
4y=11-5x
y=(11-5x)/4

Now that they both equal the same thing (y), we can set them equal to each other and solve for x. This will give us the x value for the point of intersection of the lines.
(11-5x)/4=(2x-9)/3
3(11-5x)=4(2x-9)
33-15x=8x-36
33+36=8x+15x
69=23x
x=69/23
x=3

Now, we can do the opposite, and solve for x to find the y coordinate.
2x-3y=9
2x=3y+9
x=(3y+9)/2

5x+4y=11
5x=11-4y
x=(11-4y)/5

(3y+9)/2=(11-4y)/5
5(3y+9)=2(11-4y)
15y+45=22-8y
15y+8y=22-45
23y= -23
y= -1

The coordinates for the point of intersection of the two lines is (3, -1).
5 0
4 years ago
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