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densk [106]
4 years ago
9

Simplify completely 5+3(x-1)=

Mathematics
2 answers:
Dafna1 [17]4 years ago
7 0

Answer:

3x + 2

Step-by-step explanation:

This is the answer because if you distribute 3 to x-1, it would be 3x - 3, and if you add 5, you would get 3x + 2

dalvyx [7]4 years ago
3 0

First you must distribute the 3 to the numbers inside the parentheses, which would be x and -1...

5 + (3*x) + (3 * (-1) )

5 + 3x + (-3)

5 + 3x - 3

Now you must combine like terms. Like terms are numbers that have matching variables OR are numbers with out variables. In this case the like terms are 5 and -3, since they both don't have any variables attached.

(5 + (-3) ) + 3x

2 + 3x

3x + 2 is  5 + 3(x - 1) simplified completely

Hope this helped!

~Just a girl in love with Shawn Mendes

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Based on the current eligibility requirement, a study conducted in 2004 showed that federal spending on entitlement programs, pa
slava [35]

Answer:

A) 2.9% of GDP

B) 8.73% of GDP

Step-by-step explanation:

A) To find the rate of spending, let's find the derivative of the function

P(t) = 0.27t² + 1.4t + 2.1 (0 <= t <= 5)

So,

dP/dt = 0.54t + 1.4 which is the annual growth rate.

Since t is measured in decades, thus in 2030 ,it will have been 3 decades, so we have t = 3

So, at t=3; dp/dt = 0.5(3) + 1.4 = 1.5 + 1.4 = 2.9 which means spending in 2030 will be growing at rate of 2.9%

B) The predicated spending is;

P(t) = 0.27t² + 1.4t + 2.1

Thus, in 2030, will be 3 decades so, t= 3

Thus;

P(3) = 0.27(3²) + 1.4(3) + 2.1 = 8.73 which is 8.73% of GDP

5 0
4 years ago
Read 2 more answers
Greatest common factor of 26m^4n^2, m^2n
Katyanochek1 [597]

Step-by-step explanation:

Hey there!

Given;

1st \: expn = 26 {m}^{4}  {n}^{2}

= 2*13 m⁴ n²

2nd expn = m² n

Therefore, greatest common factor is; m²n.

<u>Hope</u><u> it</u><u> helps</u><u>!</u>

8 0
3 years ago
Variable g is 5 more than variable w. Variable g is also 2 less than w. Which pair of equations best models the relationship bet
Jet001 [13]

Answer:

A is the correct answer.

Step-by-step explanation:


4 0
4 years ago
The average systolic blood pressure was found to be 140 mm for people who have high responsibility jobs, specifically investment
defon

Answer:

t = -1.428

Step-by-step explanation:

Average blood pressure among people with high responsibility jobs = u = 140 mm

Number of people sampled for the study = n = 51

Average blood pressure of the sample = x = 139 mm

Standard deviation of the sample = s = 5 mm

The claim is that practicing yoga decreases the blood pressure. So we have to test that after practicing yoga, the average blood pressure will be lesser than 140. Based on this we can formulate the null and alternate hypothesis as:

Null Hypothesis: \mu \geq 140

Alternate Hypothesis: \mu < 140

Since population standard deviation is not known, we cannot use z-distribution for this test. We are given the value of sample standard deviation, so t-test will be used for this case.

Test statistic is calculated as:

t=\frac{x-u}{\frac{s}{\sqrt{n} } }

Using the values in this formula gives us:

t=\frac{139-140}{\frac{5}{\sqrt{51}}}\\\\ t=-1.428

Therefore, the value of test statistic is -1.428

4 0
3 years ago
What is the solution to the inequality |2n+5|&gt;1?
Yuliya22 [10]
ANSWER

n <  - 3 \: or \: n>  - 2



EXPLANATION



The given inequality is,

|2n + 5|  \:  >  \: 1


By the definition of absolute value,



- (2n + 5)  \:  >  \: 1 \: or \: (2n + 5) \:  >  \: 1



We divide through by negative 1, in the first part of the inequality and reverse the sign to get,

2n + 5 \:   <   \:  - 1 \: or \: (2n + 5) \:  >  \: 1

We simplify now to get,

2n   \:   <   \:  - 1 - 5 \: or \: 2n  \:  >  \: 1 - 5


2n   \:   <   \:  - 6 \: or \: 2n  \:  >  \:  - 4


Divide through by 2 to obtain,

n   \:   <   \:  - 3 \: or \: n  \:  >  \:  - 2


4 0
3 years ago
Read 2 more answers
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