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3 years ago

Given the function g(x)=−2x−8, evaluate g(−3).

Mathematics

1 answer:

prohojiy [21]3 years ago

4 0

Answer:

g=-2

Step-by-step explanation:

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Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t

rewona [7]

Answer:

P = $80

Step-by-step explanation:

I = P*r*t

P = I/rt

Where,

simple interest, I = $20

Interest rate, r = 5%

Time, t = 5 years

P = I / rt

= 20 / 5% * 5

= 20 / 0.05 * 5

= 20 / 0.25

= 80

P = $80

3 0

2 years ago

The answers in my textbook show that using Soh Cah Toa is not right. Unless I'm doing it wrong. Can someone help me please?

Fiesta28 [93]

Answer:

(a) α = 60°, β = 30°

(b) α ≈ 67.4°, β ≈ 22.6°

Step-by-step explanation:

I'll do (a) and (b) as examples. Make sure your calculator is set to degrees, not radians.

(a) For α, we're given the opposite and adjacent sides, so use tangent.

tangent = opposite / adjacent

tan α = √300 / 10

tan α = √3

α = 60°

Since angles of a triangle add up to 180°, we know that β = 30°. But we can use tangent again to prove it:

tan β = 10 / √300

tan β = 1 / √3

tan β = √3 / 3

β = 30°

(b) For α, we're given the adjacent side and the hypotenuse. So use cosine.

cos α = adjacent / hypotenuse

cos α = 15 / 39

cos α = 5 / 13

α ≈ 67.4°

Again, we know that β = 22.6°, but let's show it using trig. We're given the opposite side and hypotenuse, so use sine:

sin β = 15 / 39

sin β = 5 / 13

β ≈ 22.6°

8 0

3 years ago

What is the value of each expression in simplest form? 5/6 + 2 1/6

Hunter-Best [27]

Answer:

5/6 + 2 1/6 in simplest form, would be 3.

4 0

2 years ago

Read 2 more answers

Graph the image of the given triangle after the transformation with the rule (x, y)→(−x, y) . Select the "Polygon" button from t

Monica [59]

Given coordinates of the triangle:

(3,4)

(4,7)

(8,2).

We are given rule for transformation: (x,y) --> (-x,y).

According to given rule the y coordinates remain same but the coordinates of x's getting multiplied by a negative sign.

Let us write transformed coordinates of the given triangle according to given rule.

(3,4) --> (-3,4)

(4,7) --> (-4,7)

(8,2) --> (-8,2).

Now, we can plot those transformed coordinates on the graph and plot transformed triangle.

3 0

3 years ago

Use logarithms to solve each equation 2x9/8=111

Illusion [34]

We have this equation:

$2x^{\frac{9}{8}} = 111$

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

$x^{\frac{9}{8}}=\frac{111}{2}$

Next step we must do is to apply logarithms:

$logx^{\frac{9}{8}} = log(\frac{111}{2})$

Next, we have to apply identities and then to solve the equation:

$\frac{9}{8}logx = log(\frac{111}{2})$
$logx = \frac{8}{9}log(\frac{111}{2})$
$logx = 1.5504$
$10^{logx} = 10^{1.5504}$

Finally, we have the value of x which was our goal. This is the answer for the question above:

$x= 35.5140$

7 0

3 years ago