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3 years ago

How do I solve this?? I'm lost

Mathematics

1 answer:

Alekssandra [29.7K]3 years ago

7 0

Your insight that the function values differ by 5 every time is very important. So your f(x) will contain 5x as a term. You have to find a constant to add or subtract to make sure f(1)=-2.

f(x) = 5x-7 does the job.

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Exercise 21

Lina20 [59]

Answer:

see explanation

Step-by-step explanation:

area of Δ ABC is calculated as

A = $\frac{1}{2}$ bh ( b is the base and h the height )

Here b = 4x - 6 and h = 2x - 3 , then

A = $\frac{1}{2}$ (4x - 6)(2x - 3) ← expand using FOIL

= $\frac{1}{2}$ (8x² - 24x + 18) ← distribute

= 4x² - 12x + 9

----------------------------------------------------------

Area of rectangle CBFG is calculated as

A = lb ( l is length, b is breadth )

Here l = 4x - 6 and b = 3x - 2, then

A = (4x - 6)(3x - 2) ← expand using FOIL

= 12x² - 26x + 12

----------------------------------------------------------

Area of trapezoid is calculated as

A = $\frac{1}{2}$ h (b₁ + b₂)

where h is the height and b₁, b₂ the parallel bases

Here h = 2x - 3, b₁ = 4x + 1, b₂ = 2x + 3 , then

A = $\frac{1}{2}$ (2x - 3)(4x + 1 + 2x + 3)

= $\frac{1}{2}$ (2x - 3)(6x + 4) ← expand using FOIL

= $\frac{1}{2}$ (12x² - 10x - 12) ← distribute

= 6x² - 5x - 6

5 0

3 years ago

Y=1/4 x y=4x-5 parallel perpendicular neither

ziro4ka [17]

Answer:

Neither.

Step-by-step explanation:

The slope for the first one is 1/4 and the slope for the second one is 4. These are reciprocals, but not opposite reciprocals, meaning they are not perpendicular. An opposite reciprocal means the fraction is flipped (ex. 3/1 to 1/3) and the sign is changed. The line parallel to y=1/4x would be y= -4x.

3 0

3 years ago

X(x-2y)-(y-x)2=<br>the answer is

GenaCL600 [577]

Answer:

-y^2

Step-by-step explanation:

x(x-2y)-(y-x)^2=

Distribute

x^2 -2xy -(y-x)^2=

Foil

x^2 -2xy -(y^2 -2xy+x^2)=

Distribute the minus sign

x^2 -2xy -y^2 +2xy-x^2=

Combine like terms

-y^2

8 0

3 years ago

Priscilla started a part time job working at an after school program.

pav-90 [236]

Answer:

Step-by-step explanation:

The first week, she worked

$3 \times 2\frac{1}{2} = 3 \times \frac{5}{2} = \frac{15}{2}$

The second week, she worked

$3 \times 2 \frac{1}{4} = 3 \times \frac{9}{4} = \frac{27}{4}$

Total number of hours she worked over these 6 days

$\frac{15}{2} + \frac{27}{4} = \frac{57}{4} = 14\frac{1}{4}$

4 0

2 years ago

WILL GIVE BRAINLIEST!!!! what is the inverse of the equation y=x^2

musickatia [10]

Answer:

y=2^x

Step-by-step explanation:

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3 years ago