1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Tanzania [10]
2 years ago
7

Solve the equation

= 5" alt="\sqrt{x+3} +4 = 5" align="absmiddle" class="latex-formula"> Show each step of your solution process.
Mathematics
2 answers:
Oksana_A [137]2 years ago
6 0

Answer:

x = -2 & -4

Step-by-step explanation:

√(x + 3) + 4 = 5

√(x + 3) = 5 - 4

√(x + 3) = 1

[√(x + 3)]² = (1)²

x² + 9 + 6x = 1

x² + 9 - 1 + 6x = 0

x² + 8 + 6x = 0

x² + 6x + 8 = 0

x² + (4x + 2x) + 8 = 0

x² + 4x + 2x + 8 = 0

x(x + 4) + 2(x + 4) = 0

(x + 4)(x + 2) = 0

x = -2 & -4

Hence,

Value of x is -2 & -4

sergij07 [2.7K]2 years ago
3 0

Answer:

-2

Step-by-step explanation:

We start off by subtracting 4 on both sides giving us:

sqrt(x+3) = 5-4 = 1

So,

sqrt(x+3) = 1, and squaring both sides we get x+3 = 1

Therefore,

x = -2

You might be interested in
PLEASE ANSWER FULL QUESTION
Komok [63]

Answer:

I don't know the answer !!! :(

8 0
2 years ago
I give ten points and brainliest if you say hi
patriot [66]

Answer:

Hi hope you have a wonderful and blessed day!!!!

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
A local hamburger shop sold a combined total of 712 hamburgers and cheeseburgers on Tuesday. There were 62 more cheeseburgers so
hammer [34]
A local hamburger shop sold a total of 712 burgers on Tuesday

There are 62 more cheeseburgers than hamburgers

let cheeseburers = c
let hamburgers = h

h + 62 = c
c + h = 712

Plug in h + 62 for c

(h + 62) + h = 712
2h + 62 = 712
2h + 62 (-62) = 712 (-62)
2h = 650
2h/2 = 650/2
h = 325

There are 325 hamburgers sold on Tuesday

c = 325 + 62
c = 387

<em>There are 387 chesseburgers sold on tuesday </em>(in case you were wondering)


hope this helps
4 0
3 years ago
An engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 180180 engin
tiny-mole [99]

Answer:

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

Step-by-step explanation:

Data given and notation  

\bar X=4.6 represent the sample mean

\sigma=0.9 represent the population standard deviation

n=180 sample size  

\mu_o =4.8 represent the value that we want to test

\alpha=0.1 represent the significance level for the hypothesis test.

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if thetrue mean is below the specifications, the system of hypothesis would be:  

Null hypothesis:\mu \geq 4.8  

Alternative hypothesis:\mu < 4.8  

If we analyze the size for the sample is > 30 and we know the population deviation so is better apply a z test to compare the actual mean to the reference value, and the statistic is given by:  

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

z-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

Calculate the statistic

We can replace in formula (1) the info given like this:  

z=\frac{4.6-4.8}{\frac{0.9}{\sqrt{180}}}=-2.98    

P-value

Since is a one sided test the p value would be:  

p_v =P(Z  

Conclusion  

If we compare the p value and the significance level given \alpha=0.1 we see that p_v so we can conclude that we have enough evidence to reject the null hypothesis,and we have enough evidence to conclude that the true mean is significantly lower thn 4.8 at 10% of signficance.  

4 0
3 years ago
Solve 6 1/8 ÷ 3 5/8 ( meaning six and one eighth divided by three and five eighths )
Stells [14]
The answer is 1 20/29.
3 0
3 years ago
Other questions:
  • a sum of money is shared among three brothers. the eldest receives 7/13 of it and the next receives 2/3 of the remainder. if the
    12·2 answers
  • Which point is a solution to this graphed system of inequalities?
    13·1 answer
  • hank and his two friends are attending a concert they purchase tickets and parking for a total of $ 129.00 they decide it is eas
    14·1 answer
  • What is the range of the graph
    8·1 answer
  • Write a number that has four digits with same number in all places, such as 4,444. circle the digit with the greatest value. und
    10·1 answer
  • a teacher guessed 30 students would ask for help. However, there were actually 35 students who came to get help. What was her pe
    15·1 answer
  • Find the slope of 6x – 3y = 5
    7·1 answer
  • Sophie bought a water fountain for her cat. The fountain holds 55 fluid ounces of water. To fill it, Sophie uses a jar that hold
    13·1 answer
  • Find the slope. Name the unit rate
    7·1 answer
  • The circumference of a circle is 11 inches. What is the area, in square inches, of the circle? Express your answer in terms of p
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!