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3 years ago

Can somebody help me out? I’ll mark as brainliest.

Mathematics

1 answer:

Fofino [41]3 years ago

4 0

Answer:

f(x) = -5x - 14

Step-by-step explanation:

this table represent a straight line : y = mx +c

first find m which is the slope

m = (-24 - -19)/(2-1) = -5

then find c

-19 = -5(1) + c , c = -14

thus f(x) = -5x -14

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Help solve #12 plz

nexus9112 [7]

Answer:

<h3> The second: f(-5) = 2</h3>

Step-by-step explanation:

x = -5

-5 < -4 and if x<-4 then f(x) = - 2x - 8

so:

f(-5) = - 2(-5) - 8 = 10 - 8 = 2

8 0

2 years ago

4. Gloria the grasshopper is working on her hops.

aivan3 [116]

The path that Gloria follows when she jumped is a path of parabola.

The equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

The given parameters are:

$\mathbf{Height = 20}$

$\mathbf{Length = 28}$

<em>Assume she starts from the origin (0,0)</em>

The midpoint would be:

$\mathbf{Mid = \frac 12 \times Length}$

$\mathbf{Mid = \frac 12 \times 28}$

$\mathbf{Mid = 14}$

So, the vertex of the parabola is:

$\mathbf{Vertex = (Mid,Height)}$

Express properly as:

$\mathbf{(h,k) = (14,20)}$

A point on the graph would be:

$\mathbf{(x,y) = (28,0)}$

The equation of a parabola is calculated using:

$\mathbf{y = a(x - h)^2 + k}$

Substitute $\mathbf{(h,k) = (14,20)}$ in $\mathbf{y = a(x - h)^2 + k}$

$\mathbf{y = a(x - 14)^2 + 20}$

Substitute $\mathbf{(x,y) = (28,0)}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{0 = a(28 - 14)^2 + 20}$

$\mathbf{0 = a(14)^2 + 20}$

Collect like terms

$\mathbf{a(14)^2 =- 20}$

Solve for a

$\mathbf{a =- \frac{20}{14^2}}$

$\mathbf{a =- \frac{20}{196}}$

Simplify

$\mathbf{a =- \frac{5}{49}}$

Substitute $\mathbf{a =- \frac{5}{49}}$ in $\mathbf{y = a(x - 14)^2 + 20}$

$\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

Hence, the equation of the parabola that describes the path of her jump is $\mathbf{y = -\frac{5}{49}(x - 14)^2 + 20}$

See attachment for the graph

Read more about equations of parabola at:

brainly.com/question/4074088

7 0

2 years ago

The measure of ADB is 162. What is the measure of EAB?

ruslelena [56]

You divide 162 and it equals to 81

4 0

2 years ago

Read 2 more answers

PLZZ ANSWER THIS AS SOON AS POSSIBLE!!!!

alexandr402 [8]

Answer:

y = -9.3

if they are complementary it is 45 degrees

if they are supplementary it is 90 degrees

Step-by-step explanation:

-12.7 = y -3.4

-12.7 + 3.4 = y -3.4 + 3.4

-9.3 = y

complementary angles equal to 90 degrees

supplementary angles equal to 180 degrees

vertical angles have same degrees

so 90/2= 45

180/2 =90

3 0

2 years ago

Read 2 more answers

The number of buttons an industrial button machine can manufacture each hour, y, varies directly with the number of active hours

-Dominant- [34]

Answer:

lol

Step-by-step explanation:

7 0

3 years ago