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vaieri [72.5K]
3 years ago
14

F(x) = -x2 + 10x - 17 a. Axis of Symmetry: b. Vertex: (Max, Min) c. Domain: d. Range: ​

Mathematics
1 answer:
kati45 [8]3 years ago
8 0

Answer:

Below in bold.

Step-by-step explanation:

f(x) = -x^2 + 10x - 17

Convert to vertex form by:

f(x) = -(x^2 - 10x) - 17

= - [(x - 5)^2 - 25] - 17

= -(x - 5)^2 + 25 - 17

=  -(x - 5)^2 + 8,

a. So axis of symmetry is x = 5.

b. Vertex is (5, 8) Max.

c.   Domain is All real x.

d. Range is (-∞, 8].

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Solve the system of linear equations by substitution 12x+y=−4 y=2x+16
ki77a [65]

Answer:

Your solution is (-10/7, 92/7)

Step-by-step explanation:

12x + y = -4

y = 2x + 16

To use substitution, we want to plug one variable's equation into the other equation.

We can see that y is already solved for us. Plug y into the first equation.

12x + y = -4

12x + (2x + 16) = -4

Combine like terms.

14x + 16 = -4

Subtract 16 from both sides.

14x = -20

Divide both sides by 14.

x = -20/14

x = -10/7

Now that we know x, we will plug it into one of the other equations.

y = 2x + 16

y = 2(-10/7) + 16

Multiply.

y = -20/7 + 16

Add.

y = -20/7 + 112/7

y = 92/7

Your solution is (-10/7, 92/7)

Hope this helps!

8 0
3 years ago
A scatter plot with a trend line is shown below. Which equation best represents the given data?
Nataly_w [17]
Y=1/2x+5





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8 0
3 years ago
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Lisa is mailing a letter to a friend. Postage costs $0.32 for the first ounce and $0.23 for the additional ounce. How heavy can
Advocard [28]

Answer: 8.3 ounces

Step-by-step explanation:

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7 0
3 years ago
Rewrite in simplest terms: -(2c + 8) + 8c
garik1379 [7]

Answer:

6c-8

Step-by-step explanation:

We have:

-(2c+8)+8c=

-2c-8+8c=\\

6c - 8

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Pavlova-9 [17]
Factorization: (x + 4)∧2=0

Solutions based on Factorization: x + 4 = 0  ⇒ X∨1 = X∨2 = -4
8 0
4 years ago
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