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enyata [817]
3 years ago
15

Need this to solve these two questions please

Mathematics
1 answer:
Ludmilka [50]3 years ago
4 0

Answer and Step-by-step explanation:

<u>For the first graph:</u>

The equation has a negative slope of \frac{1}{3}. So, the equation is:

y = -\frac{1}{3} x

<u>For the second graph:</u>

The graph is shifted down 4 units.

It has a positive slope of 3.

So the equation is:

y = 3x - 4

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

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Rewrite this exponential equation as a logarithmic equation. 4e^x=16
lidiya [134]

Answer:

The rewritten equation is: x = \ln{4}

Step-by-step explanation:

The inverse operation of the exponential is the natural logarithm, \ln, and the following property is used to solve this question:

\ln{e^x} = x

In this question, we have that:

4e^x = 16

e^x = \frac{16}{4}

e^x = 4

Applying the natural logarithm to both sides:

\ln{e^x} = \ln{4}

x = \ln{4}

The rewritten equation is: x = \ln{4}

8 0
3 years ago
Carly works at a local bakery. She needs 6 cups of flour to make a cake and 3 cups of flour to make 16 cupcakes. If she started
Viefleur [7K]

2 cakes require 10 cups of flour.

16 cupcakes will use 6 cups.

Add up the total to get 16 cups of flour used.

At 4 cups per pound, her 16 used cups of flour weigh 4 lbs. (16/4).

She used 4 lbs from the original 18 lb supply, so when she subtracted that 4 lbs from the 18 lbs she started out with, she discovered she has 14 lbs of flour left to make more goodies!

Hope it correct!!

5 0
4 years ago
Whats the function for each of the given domain values?
rosijanka [135]

Answer:

y={-5,-4,-5/2,-13/3}

Step-by-step explanation:

a.f(-2)=y=1/2(x)-4

substitute -2for x

y=1/2(-2)-4

y=-1-4

y=-5

b.f(0)

y=1/2(0)-4

y=0-4

y=-4

c.f(3/2)

y=1/2(3/2)-4

3/2-4

find the L.C.M=2

3/2-4/1

3-8/2

-5/2

d.f(-2/3)

y=1/2(-2/3)-4

-2/6-4

2 into itself 1 ,2 into 6 ,3

-1/3-4

find the least common multiple equal to 3

-1/3-4/1

-1-12/3

y=-13/3

7 0
4 years ago
A 24-foot ladder rests against a house near a second story window 20 feet from the ground. Assume that the ladder and the house
Gennadij [26K]
Oi :) 
The measure of the angle formed by the base of the ladder and level ground is?

sin \alpha = \frac{cateto \ opposite}{cateto\  adjacent}  \\  \\  sin \alpha = \frac{20}{24} \\  \\ sin \alpha =0.833 \\  \\   \alpha =sin^{-1} 0.833 \\  \\  \alpha =56.4^0
<span>
The measure of the angle formed by the top of the ladder and the second story window is?
</span>\alpha + \beta + 90^0=180 \\ \beta +56.4+90=180 \\ \beta =180-146.4 \\ \beta =33.6^0
<span>
The distance, on level ground, between the base of the ladder and the house is?
Using Piagoras:

</span>a^2+b^2=c^2 \\ a^2+20^2=24^2 \\ a^2+400=576 \\ a^2=576-400 \\ a^2=176 \\ a= \sqrt{176}  \\ a=13.26 \ feet<span>

Please see attachment .
Boa Noite. Bons Estudos e Seja Feliz ! 
</span><span>
</span>

6 0
4 years ago
What is the value of the expression in question #9 for m = 7????
SVEN [57.7K]

Answer:

????

Step-by-step explanation:

5 0
3 years ago
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