How do I solve this equation and check the solutions?

How Do I Solve This Equation And Check The Solutions?

Answers

Answer 1

Answer:

{-6}

Step-by-step explanation:

Step 1 Raise both sides of the equation to the index of the radical in the case 2

[tex](\sqrt{2x+13} )^{2} =(x+7)^{2}[/tex]

[tex]2x + 13 = (x+7)(x+7)[/tex]

[tex]2x +13 = x^{2} + 14x + 49\\0=x^{2} +12x+36[/tex]

Step 2 Factor

(x + 6)(x + 6) = 0

x + 6 = 0

x = - 6

Step 3 Check -6

[tex]\sqrt{2(-6)+13} = -6 + 7\\\sqrt{-12+13} = 1\\\sqrt{1} = 1\\1 = 1[/tex]


Related Questions

What is the slope of the line through (0,5) and (-2,-1)?

Answers

Answer:

c

Step-by-step explanation:

the slope is 3

Your answer is C

Rise over run. You rise 3 points to get to the other, and run over one. Hope this helps.

Forty of the staff of 85 teachers at a local intermediate school are certified in Cardio-Pulmonary Resuscitation (CPR). In 180 days of school, what would be the expected mean, variance and standard deviation?

Answers

Answer and Step-by-step explanation:

The computation is shown below;

Here we use the binomial distribution

p = 40 ÷ 85 = 0.47

q = 1 -0.47 = 0.53

n = 180

Now  

mean [tex]\mu[/tex]

= np

= 180 × 0.47

= 84.6

The Variance is

= npq

= 180 ×  0.47 × 0.53

= 44.84

And,  Standard deviation

= √npq

= √44.84

= 6.69

We simply applied the above formula so that the correct value could come

And, the same is to be considered  

Please answer this question it is for Math!

Answers

Answer:do you mean plotting a graph

Step-by-step explanation:

what is the value of x?

Answers

Answer:

I honestly have no clue.

Step-by-step explanation:

I honestly have no clue.

13 x 24 =
pleze go very fast or i mite fale

Answers

Answer:

312

Step-by-step explanation:

ASAP 30 points and BRAINLIEST!! PLS!

Answers

Answer:

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Step-by-step explanation:

First, let's find the slope using the 2 given points and the slope equation.

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Enter in the points:

[tex]m=\frac{-3--1}{-5-0}[/tex]

Simplify:

[tex]m=\frac{-2}{-5}[/tex]

[tex]m=\frac{2}{5}[/tex]

Now that we have slope we can just use one of the points given. Remember point-slope form:

[tex]y-y1=m(x-x1)[/tex]

I'll use the point (-5,-3) in this case.

So, your solution is

[tex]y+3=\frac{2}{5} (x+5)[/tex]

Hope this helps!

y+1=2/5(x+0) should be it

Find three solutions for the linear equation 4x-3y = 1

PS. answer plsss​

Answers

Answer:

I had shoot it so, hope it help u. and sorry, if it is incorrect!!

Answer:

X=1, y=1,(x,y)=(1,1)

X=0,y=-1:3,(x,y)=(0,1:3)

X=1:4,y=0,(1:4,0)

Step-by-step explanation:

Just put the numbers instead of x in the equation and get y, and in (x, y) put the numbers x, y instead.

& represents 29 students in a class
B represents students who have a brother
S represents students who have a sister
В.
S
7
4
2x
x + 3
7+4+2x+x+3=29
a) One student from the class is chosen at random.
What is the probability that the student has a sister? 14+3x=29
3x=15
X=5
29-8=21​

Answers

Answer:

a) 14/ 29

b) 4/11

Step-by-step explanation:

x = 5

At noon, the minute and the hour hands overlap. In how long will they overlap again?

Answers

Answer:

1 hour or 60 minutes later

1hr and 5mins later, when it’s 1:05pm because both minute and hour hands will be on 1.

Please help I will give brainliest to first person who answers!

Answers

Answer:

71 degrees

It's the measure of angle 1.

what is f(x) = 0,5 (x-3)( x-5) in general form??​

Answers

Answer:

[tex]f(x)=0.5x^2-4x+7.5[/tex]

Step-by-step explanation:

The general form of a quadratic function is:

[tex]y=ax^2+bx+c[/tex]

We'll find the general form of the function:

[tex]f(x)=0.5(x-3)(x-5)[/tex]

Multiplying the expressions in parentheses:

[tex]f(x)=0.5(x^2-5x-3x+15)[/tex]

Simplifying:

[tex]f(x)=0.5(x^2-8x+15)[/tex]

Operating:

[tex]\mathbf{f(x)=0.5x^2-4x+7.5}[/tex]

PLEASE HELP:(........thank you

Answers

Answer:

the answer is C

Step-by-step explanation:

idenify the slope and y-intercept of the function y=-2x+3

Answers

Answer:

The y-interept is 3 and the slope is -2.

Step-by-step explanation:

The y-intercept is always the "b" in y=mx+b

Answer:

Slope:  − 2

y-intercept:  ( 0 , 3 )

Step-by-step explanation:

I'll mark you brainiest if you give me the correct answer.​

Answers

Answer:

42b -7.5

I think that's the answer since you are getting a discount which means you are subtracting

What is the rate of change of y with respect to x for 25x - 4y = 50 ?

Answers

Answer:

25/4

Step-by-step explanation:

The change of y with respect to x is known as the slope of the line. The standard form of the equation is y = mx+c  where m is the slope.

Given the equation 25x - 4y = 50, we need to make y the subject of the formula before we get the slope as shown;

25x - 4y = 50

-4y = -25x+50

Divide through b y -4

-4y/-4 = -25x/-4 + 50/-4

y = 25/4 x - 25/2

Comparing with y = mx+c

mx = 25/4 x

m = 25/4

Hence the rate of change of y with respect to x is 25/4

The rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Given the equation:

[tex]25x - 4y = 50[/tex]

The rate of change = the slope of the line

To determine the slope of 25x - 4y = 50, rewrite the equation in slope-intercept form. i.e. [tex]y = mx + b[/tex]

Where, slope = m

Thus,

[tex]25x - 4y = 50[/tex]

Add 25x to both sides of the equation

[tex]25x -25x - 4y = - 25x + 50\\\\-4y = - 25x + 50[/tex]

Divide both sides by -4

[tex]\frac{-4y}{-4} = \frac{-25x}{-4}+ \frac{50}{-4}\\\\y = \frac{25}{4}x - \frac{25}{2}[/tex]

Therefore, the rate of change of y with respect of x for the given equation is [tex]\frac{25}{4}[/tex].

Learn more here:

https://brainly.com/question/16875614

-10 + 4


plz heeeeeelp

Answers

Answer:

-6

Step-by-step explanation:

Answer:

- 6

Step-by-step explanation:

Every 2.5 hours, a machine produces 150 baskets.



What is the unit rate of this proportional relationship? (Hint: You are trying to find how many baskets in one hour.)


60 baskets per hour
60 baskets per hour

2.5 baskets per hour
2.5 baskets per hour

25 baskets per hour
25 baskets per hour

16.6 baskets per hour

Answers

Answer:

60

Step-by-step explanation:

We use unit rate function,

Let h be hours

Let b be baskets

2.5h = 150b

We divide both sides by 2.5

2.5h/2.5 = 150b/2.5

Which will give us

h = 60

Which equation represents a proportional relationship?

a y = 7x – 3
b y = 150x
c y = 21x
d y = 2x + 1

Answers

I am not certain but I think c? if its wrong sorry

The graph shows the membership of a student group: x represents the number of years since the group was formed and y represents the number of members.


The equation is y = 14x + 10.


Which is true regarding the slope?

Membership grows by 14 each year.

The group was formed with 14 members.

Membership is recorded every 14 years.

Answers

The answer is : membership grows by 14 each year because 14x is the slope which means you go up 14 over 1 on a graph so it increases by 14 every year.

Answer:

we conclude that Membership grows by 14 each year.

Step-by-step explanation:

Given the equation

[tex]y=14x+10[/tex]

Comparing the equation with the slope-intercept form

[tex]y=mx+b[/tex]

Here, m is the slope and b is the y-intercept.

From the equation, we can determine the slope

[tex]y=14x+10[/tex]

[tex]m=14[/tex]         ∵  [tex]y=mx+b[/tex]

Hence, the slope is m=16.

We know that the slope is referred to as the 'rate of change'.

For example, if you have a part-time job at a store. You save for her tour at a rate of $20 every week. It means, your rate of change will be $20 per week.

So given the equation

[tex]y=14x+10[/tex]

m = rate of change = slope = 24

The slope is basically a vertical change divided by the horizontal change.

Therefore, we conclude that Membership grows by 14 each year.

Which statement regarding the diagram is true?

m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°

Answers

Answer:

b. m∠KML + m∠MLK = m∠JKM

Step-by-step explanation:

right on edge

The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

What is the triangle?

In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

We have a triangle shown in the picture:

As we know, triangle is a polygon with three sides and three interior angles.

From the definition of the triangle, The triangle's interior angles add up to 180°

m∠MKL + m∠MLK + m∠KML = 180

Also, the sum of the two interior angles is equal to the exterior angle.

m∠KML + m∠MLK = m∠JKM

Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ5

whats 1/2 + 8 9/14 please help ASAP

Answers

Answer: 9 /17 as fraction 9.143 Simplify

Step-by-step explanation:

Answer:

9 1/7

The explanain of this is that 1/2 + 8 + 9 1/4  so...   1/2+9/14=?

7 1/4 + 9/14=16/14 and so... 16/14=8/7 then.. 8/7=1 1/7  then last thing   8 + 1 + 1/7=  9 1/7

PLZ HELP ASAP 20 POINTS!! wrote an equation in slope-intercept (y=mx+b) form for each line.

Answers

Answer: I’m sorry I cannot explain this any other way because I can not see the answers but —> If you a point that a line passes through, and its slope, this page will show you how to find the equation of the line. ✨

Step-by-step explanation: hope it help you later on!

Answer:

Y= -4x + 3

Step-by-step explanation: because the x value goes with mx, and the y value goes with b. :)

what is the slope of the line 5x +2y = -15

Answers

Answer:

-5/2

Step-by-step explanation:

5x +2y = -15

-5x          -5x

2y = -5x - 15

y = -5/2x - 7.5

y = mx + b

Slope (m) = -5/2

down 5, right 2

-5/2
y = Mx + b
5x + 15 = - 2y
-5/2x -15/2 = y

someone help please

Answers

Answer:

Type: polynomial

degree: 3

leading coefficient: 8

Step-by-step explanation:

The given equation is: f(x) = -7x^2 + 8x^3 + 6 - 4x

To find the type, degree, and leading coefficient of the equation, the first thing we should do is rewrite the terms in decreasing order:

f(x) = 8x^3 - 7x^2 - 4x + 6

The term with the highest value is 8x^3. We can use this to determine the degree and the leading coefficient.

8 is the leading coefficient. The degree is 3.

To find the type of equation this is, we have to count how many terms there are. We can see that there are 4 terms in this equation, making this a polynomial.

ms.kirklan is baking muffins.each batch of muffins use 3/4 of a pound of flour. How many batches of muffins can she bake with 5 pounds of flour

Answers

6 full batches.

Divide 5 by 3/4 (or .75 for a calculator)
You get 6.667
Round down
6

Good luck!

The number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

Given that, Ms.Kirklan is baking muffins. Each batch of muffins use 3/4 of a pound of flour.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

We need to find the number of muffins she can bake with 5 pounds of flour

Now, 5 ÷ 3/4

= 5 ÷ 0.75

= 6.6

≈ 7

Hence, the number of batches of muffins Ms.Kirklan can bake with 5 pounds of flour is 7.

To learn more about the unitary method visit:

brainly.com/question/22056199.

#SPJ2

A line contains points (3,5) and (5,8). What is the slope

Answers

Answer:

3/2x

Step-by-step explanation:

Plug in to this formula

[tex]\frac{y2-y1}{x2-x1} \\\\\frac{8-5}{5-3} \\\\\frac{3}{2}[/tex]

Your slope is 3/2x

If you want to find the y-intercept just plug in one of the points into this..

( ) = 3/2( ) + b

Hope this helps ya!!

If mAngleUTV < mAngleUTS < mAngleSTR, which statement is true? VU < US < SR by the hinge theorem. VU = US = SR by the hinge theorem. mAngleUTV = mAngleUST = mAngleSTR by the converse of the hinge theorem. mAngleUTV > mAngleUTS > mAngleSTR by the converse of the hinge theorem.

Answers

Answer:

VU < US < SR by the hinge theorem.

Step-by-step explanation:

Did quiz on edge

Answer:

A. VU < US < SR  

Step-by-step explanation:

I got a 100 on the test

Please help me out :)

Answers

I believe the answer is A

23p+1/4-1/4(8p+1)=5(4p-6)+10
What is p?

Answers

Answer:

p= -20

Step-by-step explanation:

23p+1/4-1/4(8p+1)=5(4p-6)+10

23p+1/4-2p-1/4=20p-30+10

21p=20p-20

p= -20

which equation repersent functions?

2x+3y=10
4x=16
2x-3=14
3y=18
14.6=2x​

Answers

Answer:

y= (-2/3)x+10/3  is a function

3y=18 is a function

Step-by-step explanations

in both cases for each input x there is exactly one output y

Other Questions
A 0.20 kg mass (m1) hangs vertically from a spring and an elongation of the spring of 9.50 cm (r1) is recorded. With a mass (m2) of 1.00 kg hanging on the spring, a second elongation (r2) of 12.00 cm is recorded. Calculate the spring constant k in Newtons per meter (N/m). (Note: The equilibrium position is not zero.) Its on USAtestprep . Please help if anyone knows the answer. what is the equation of the line in slope intercept form Olivia has $60 in a savings account. The interest rate is 5% compounded annually. To the nearest cent how much interest will she earn in 2 years A calculator is able to generate random numbers from the interval (0, 1). We need five random numbers from (0, 2/5). Using this calculator, how many independent random numbers should we generate, on average, to find the five numbers needed? The fair spinner shown in the diagram above is spun. Work out the probability of getting a number less than 1. Give your answer in its simplest form. Clare cycled a total of 6.48 kilometers by making 4 trips to work. How many trips will Clare have to make to cycle a total of 8.1 kilometers? If (p, q) is the solution to the system of equations, what is the value of q?16p 2q = 100 p 4q = 200A)0B)10C)25D)50 What is the best way to describe a sentence fragment?a group of words that does not include a verba group of words that seems out of placea group of words with lots of nouns and adjectivesa group of words that does not form a complete thought A researcher places part of a plant cell in a beaker of water. She observes that the plant leaves release bubbles of gas when she shines a light on the beaker. The leaves do not release gas when the beaker is placed in the dark. Based on her observations, which of the following is the most logical inference? A change in even one value affects the value of standard deviation.TRUE OR FALSE were the Comanche the most feared tribe in Texas ? why is the quran so inportant ????if your muslim you shoul know ? Which of the following is an example of a Unit Rate?A 10 pounds of apples cost $4.B Each marker costs $0.50.C Steve runs 3 miles in 20 minutes.D A half sub costs $2.50. Read and select the option with the correct answer. A Manuel le encanta el chocolate. En su pas, Manuel paga diez bolvares por un chocolate. Manuel compra tres chocolates. Manuel no tiene dinero para comprar refrescos. La mam de Manuel paga cinco bolvares por la limonada. Based on the dialogue, where is Manuel? En Chile En Mxico En Honduras En Venezuela Lana is the oldest of four sisters. Her youngest sister is half her age. The other two sisters are twins 2 years younger than Lana. When the four sisters' ages are added together, the result is 45. If the youngest sister is n years old, what is n? The speaker who had no rights in ancient Athenian democracy is solve 1,000x10 hint: use a strategy Luca made the following chart for Earths four basic movements. What needs to be correct on his chart George bought 7,5 cases of pancake mix for his diner. A case contains 12 1.3-pound boxes. How many pounds of pancake mix did george buy?