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Oksana_A [137]
3 years ago
11

Expand and simplify (x+2)(x-5)

Mathematics
1 answer:
umka21 [38]3 years ago
4 0

Answer:

{x}^{2}   - 3x  - 10

Step-by-step explanation:

multiply first x by second x

multiply first x by -5

Multiply 2 by second x

multiply 2 by -5

(x×x)+(x×-5)+(2×x)+(2×-5)

this is equal to

{x}^{2}   - 3x  - 10

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158 bottles of water were used at the race

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Find an equation equivalent to r=6secθ in rectangular coordinates and describe the graph of the equation.
k0ka [10]

Answer:

x = 6

Step-by-step explanation:

r = 6 sec θ

r = 6 / cos θ

r cos θ = 6

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The graph is a vertical line passing through (6, 0).

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Given: f(x) = x - 7 and h(x) = 2x + 3
LenKa [72]

<u>ANSWER</u>


h(f(x))=2x-11


<u>EXPLANATION</u>


Given f(x)=x-7


and

h(x)=2x+3


We want to find


h(f(x))=h(x-7)

This means we substitute the function f in to another function h and evaluate.

This implies that;

h(f(x))=2(x-7)+3


We expand the parenthesis to obtain;


h(f(x))=2x-14+3

We simplify further to obtain;

h(f(x))=2x-11


Hence the correct answer is A

8 0
3 years ago
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Tiana takes 3 hours to drive to the coast without stopping. How many minutes will it take her to reach the coast if she stops to
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3 hours is 180 minutes.

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Can someone please answer this, ill give you brainliest Would be very appreciated.
Svetllana [295]

Explanation:

f(x) = (x-4)(x+2)

1) For x-intercept, y will be 0

  • (x-4)(x+2) = 0
  • (x-4) =0, (x+2) = 0
  • x = 4, x = -2

<u />

<u>x-intercept</u>: (4, 0), (-2, 0)

2) For vertex: x = -b/2a where ax² + bx + c

<u>Quadratic function</u>:

  • (x-4)(x+2)
  • x² +2x-4x -8
  • x² -2x -8

<u>vertex</u>:

  • x = -(-2)/2(1)
  • x = 1

y: (x-4)(x+2) = (1-4)(1+2) = -9

ordered pair of vertex: (1, -9)

3) For y-intercept, x will be 0

  • (x-4)(x+2)
  • (0-4)(0+2)
  • -8

<u>y-intercept</u>: (0, -8)

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