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MA_775_DIABLO [31]
3 years ago
5

Find the values of x for which f(x) = g(x). (Enter your answers as a comma-separated list.) f(x) = x2, g(x) = x + 20

Mathematics
2 answers:
amid [387]3 years ago
6 0
Given
function f(x) = x²
function g(x) = x + 20

Solution:
Substitute f(x) with x² and substitute g(x) with (x + 20)
f(x) = g(x)
x² = x + 20

Move all terms to the left side. After moving, the positive ones become negative.
x² = x + 20
x² - x - 20 = 0

I break -x into -5x + 4x
x² - x - 20 = 0
x² - 5x + 4x - 20 = 0

Factorize x² - 5x
x² - 5x + 4x - 20 = 0
x(x - 5) + 4x - 20 = 0

Now factorize 4x - 20
x(x - 5) + 4x - 20 = 0
x(x - 5) + 4(x - 5) = 0

Separate (x - 5) from all terms using distributive property, the remaining one is (x + 4)
x(x - 5) + 4(x - 5) = 0
(x - 5)(x + 4) = 0

The solution
x - 5 = 0
x = 5
or 
x + 4 = 0
x = -4

f(x) and g(x) will be both equal if the value of x is either 5 or -4
tekilochka [14]3 years ago
5 0
 f(x) = x2 + 2x + 1, g(x) = 11x − 19 x<span>2 </span>+ 2x + 1 = 11x - 19 x2 - 9x + 20 = 0 (x-4)(x-5) = 0 x = 4, 5
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You intend to draw a random sample in order to test a hypothesis about an unknown population mean. You will use a hypothesis tes
Gre4nikov [31]

Answer:

The correct order is :

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

Step-by-step explanation:

The correct order of the steps of a hypothesis test is given following

1. Determine the null and alternative hypothesis.

2. Select a sample and compute the z - score for the sample mean.

3. Determine the probability at which you will conclude that the sample outcome is very unlikely.

4. Make a decision about the unknown population.

These steps are performed in the given sequence to test a hypothesis.

6 0
3 years ago
Leo had $91, which is 7 times as much money as Alison had. How much
NARA [144]

Answer:

7x=91

$13.

Step-by-step explanation:

Let x represent money that Alison has.

We have been given that Leo has 7 times as much money as Alison had. So the amount of money that Leo has, would be 7x.

We are also told that Leo had $91, so we will equate 7x with 91 and solve for x as:

7x=91

To solve for x, we will divide both sides by 7:

\frac{7x}{7}=\frac{91}{7}

x=13

Therefore, Alison has $13.

8 0
3 years ago
Read 2 more answers
What is an equation of a line in point slope form that passes through the points (7,-8) and (-4,6)?
maw [93]

y=kx+b

for (7,-8): -8=7k+b. (function 1)

for (-4,6): 6=-4k+b (function 2)

Use function 2 - function 1

we get: 14=-11k

k=-14/11------>slope is -14/11

Now we know that first two options are wrong since they have the wrong slope for the function.

Plus -14/11 back to function 1/ or 2. Both are correct and can give you the answer. In this case I would plug it back to function 2.

6=14*4/11+b

b=66/11-56/11

b=10/11

We get y=-14/11x+10/11

subtract both side by 6.

y-6=-14/11x+10/11-66/11

y-6=-14/11x-56/11

y-6=-14/11(x+4)

So C is correct

5 0
3 years ago
How many miles equals 26 km
Sliva [168]

Given data:

The given distance is d=26 km.

We know 1 kilometer is equal to approx 0.621 miles.

1km= 0.621 miles

Multiply the above expression with 26 on both sides.

26(1 km)= 26(0.621 miles)

26 km= 16.146 miles.

Thus, 26 kilometer is equal to 16.146 miles

4 0
1 year ago
What 1/4(3.14)(5.4^3)(12)<br><br>and any player boys out there<br>plzzzzzz im bored
Soloha48 [4]

Answer is 1483.31088

Explanation:

It is asked that =(\frac{1}{4})(3.14)(5.4^{3} )(12)\\=(3.14)(5.4^{2} )(3)\\\\=(3.14)(157.464)(3)\\=1483.31088\\

Answer is 1483.31088

6 0
3 years ago
Read 2 more answers
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