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3 years ago

On the graph shown, what is f(-2)?

Mathematics

1 answer:

nadya68 [22]3 years ago

6 0

Answer:

f(-2)=3

Step-by-step explanation:

we know that

f(-2) means the value of the function when the value of x is equal to -2

Remember that

the closed circle at x=-2 include the value of x=-2

the open circle at x=-2 not include the value of x=-2

Looking at the graph

For x=-2 (closed circle) the value of y is equal to 3

therefore

f(-2)=3

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Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

kirill115 [55]

Answer:

AC = 30

Step-by-step explanation:

Start with:

$4x+10=3x-2+2x+7$

Combine like terms.

$4x+10=5x+5$

Subtract $4x$ from both sides of the equation.

$10=x+5$

Subtract $5$ from both sides of the equation.

$x = 5$

Then, substitute $5$ for $x$ in $AC=4x+10$

$AC=4(5)+10$

Multiply.

$AC=20+10$

Finally, add.

$AC=30$

3 0

3 years ago

Plotting these two equations on a graph. p=6-2q p=4+q

Mekhanik [1.2K]

Put into slope intercept form, y=mx+b where m=slope
p=-2q+6
slope is -2
subsitute values for q and get values for p
q=0, p=6
(q,p)
(0,6)
(1,4)

p=q+4
slope is 1
subsitutte
q=0,p=4
(q,p)
(0,4)
(1,5)

below are the graphs

7 0

3 years ago

I am having trouble 2(10-13x)=-34x+60

morpeh [17]

Simplifying 2(10 + -13x) = -34x + 60
(10 * 2 + -13x * 2) = -34x + 60
(20 + -26x) = -34x + 60
Reorder the terms: 20 + -26x = 60 + -34x
Solving 20 + -26x = 60 + -34x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '34x' to each side of the equation. 20 + -26x + 34x = 60 + -34x + 34x
Combine like terms: -26x + 34x = 8x 20 + 8x = 60 + -34x + 34x
Combine like terms: -34x + 34x = 0 20 + 8x = 60 + 0 20 + 8x = 60
Add '-20' to each side of the equation. 20 + -20 + 8x = 60 + -20
Combine like terms: 20 + -20 = 0 0 + 8x = 60 + -20 8x = 60 + -20
Combine like terms: 60 + -20 = 40 8x = 40
Divide each side by '8'. x = 5
Simplifying x = 5

7 0

3 years ago

The formula for wind chill C (in degrees Fahrenheit) is given by C = 35.74 + 0.6215T - 35.75v^0.16 + 0.4275Tv^0.16 where v is th

Diano4ka-milaya [45]

Answer:

dC = 2.44

Relative error = 19%

Step-by-step explanation:

$C = 35.74 + 0.6215*T - 35.75*v^(0.16) + 0.4275*T*v^(0.16)$

Δv = 3 ; ΔT = 1 , v = 23, T = 8

Use differential Calculus

$dC = Cv.dv + Ct.dt$

$Cv = dC/dv = -5.72*v^(-0.84) + 0.0684*T*v^(-0.84)\\Ct = dC/dT = 0.6215 + 0.4275*v^(0.16)\\dC = modulus (Cv.dv) + modulus (CT.dT)\\dC = (-5.72*v^(-0.84) + 0.0684*T*v^(-0.84))* 3 + (0.6215 + 0.4275*v^(0.16))*1\\dC = 2.44$

Relative Error

dC / C @(T = 8, v=23) * 100 = 19 %

8 0

3 years ago

Please help me asap

ziro4ka [17]

Answer:

The second picture. Top right.

4 0

3 years ago