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miv72 [106K]
3 years ago
9

I really don't getting this

Mathematics
1 answer:
Neporo4naja [7]3 years ago
5 0
All you need to do is insert -4 where the x is located in the functions.
 -4x^2 - 3x - 7
 -4(-4)^2 - 3(-4) - 7
-4(16) + 12 - 7
-64 + 12 - 7
-59
g(-4) = -59

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Supplemental Activities - Ch 1
Deffense [45]

x \geq -9; x \leq 6 or in interval notation [-9,6]

To find out what are the steps in solving the below inequality:

Given equation is 2x - 3 > 15

The absolute value function takes any term and transforms it to its non-negative form. Therefore, we must solve the term within the absolute value function for both its negative and positive equivalent.

−15≤2x-3≤15

First, subtract 3  from each segment of the system of equations to isolate the x term while keeping the system balanced:

−15−3≤2x-3−3≤15−3

−18≤2x-6≤12

−18≤2x-6≤12

Now, divide each segment of the system by 2 to solve for x while keeping the system balanced:

-\frac{18}{2}\leq \frac{2x}{2} \leq \frac{12}{2}

-9 \leq x \leq 6

or

x \geq -9; x \leq 6

or in interval notation [-9,6]

on the horizontal axis.

The lines will be a solid line because the inequality operators contain "or equal to" clauses.

We will shade between the lines to show the interval:

Hence the steps to solve an inequality has been show

To learn more about inequalities click here brainly.com/question/24372553

#SPJ9

8 0
1 year ago
A sample of 20 account balances of a credit company showed an average balance of $1,170 and a standard deviation of $125. You wa
Lady_Fox [76]

Answer:

The P-value for this test is P=0.2415.

Step-by-step explanation:

We have to perform an hypothesis testing on the mean of alla account balances.

The claim is that the mean of all account balances is significantly greater than $1,150.

Then, the null and alternative hypothesis are:

H_0: \mu=1150\\\\H_a: \mu>1150

The sample size is n=20, with a sample mean is 110 and standard deviation is 125.

We can calculate the t-statistic as:

t=\dfrac{\bar x-\mu}{s/\sqrt{n}}=\dfrac{1170-1150}{125/\sqrt{20}}=\dfrac{20}{27.95}=0.7156

The degrees of freedom fot this test are:

df=n-1=20-1=19

For this one-tailed test and 19 degrees of freedom, the P-value is:

P-value=P(t>0.7156)=0.2415

8 0
3 years ago
Ernie bought 3 12-packs of regular cola, 4 12-packs of diet cola, and 2 6-packs of orange soda. How many cans did he buy? 3. Dra
Feliz [49]

(3 \times 12) + (4 \times 12) +(2 \times 6) \\ 36 + 48 + 12 = 96
4 0
3 years ago
Midpoint of (16,5) and (-6,-9)?
Zigmanuir [339]

To solve this problem, we need to use the midpoint formula, where M = (x1+x2/2, y1+y2/2). To solve, we must plug in the given (x,y) values from our ordered pairs and then simplify, shown below:

(x1+x2/2, y1+y2/2)

( (16 + -6)/2, (5 + -9)/2 )

Now, we can begin to simplify by computing the addition in the numerators of both fractions.

(10/2, -4/2)

Next, we can finish the simplification process by dividing these fractions.

(5, -2)

Therefore, the midpoint of (16,5) and (-6,-9) is (5,-2).

Hope this helps!

8 0
2 years ago
Will mark brainliest
victus00 [196]

Answer:

2

Step-by-step explanation:

8 times 1/4 equals 2

if this is wrong i am so sorry

3 0
2 years ago
Read 2 more answers
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