Mathematics High School

What is the solution to the equation? square root -2x-5-4=x A. -7 and -3 B. 3 and 7 C. -3 D. 7

Answers

Answer 1

Answer:

Step-by-step explanation:

step1 Isolate the square root on the left hand side

Original equation

√2x-5-4 = -x

Isolate

√2x-5 = 4-x

step2 eliminate the radical on the left hand side

Raise both sides to the second power

(√2x-5)2 = (4-x)2

After squaring

2x-5 = x2-8x+16

step3 Solve the quadratic equation

Rearranged equation

x2 - 10x + 21 = 0

This equation has two rational roots:

{x1, x2}={7, 3}

step4 Check that the first solution is correct

Original equation, root isolated

√2x-5 = 4-x

Plug in 7 for x

√2•(7)-5 = 4-(7)

Simplify

√9 = -3

Solution does not check

3 ≠ -3

step5 Check that the second solution is correct

Original equation, root isolated

√2x-5 = 4-x

Plug in 3 for x

√2•(3)-5 = 4-(3)

Simplify

√1 = 1

Solution checks !!

Solution is:

x = 3

Answer 2

Answer:

-3

Step-by-step explanation: i got it right on my test

Related Questions

Your mom opens an account to save money for a family vacation. The account earns an animal interest rate of 4%. She earns $37 in simple interest after 6 months. How much money did she put in the account when she opened it? Use the formula: I=prt

Answers

Answer:

I = $ 0.74

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

putting time into years for simplicity,

6 months ÷ 12 months/year = 0.5 years,

then, solving our equation

I = 37 × 0.04 × 0.5 = 0.74

I = $ 0.74

The simple interest accumulated

on a principal of $ 37.00

at a rate of 4% per year

for 0.5 years (6 months) is $ 0.74.

BRAINLIEST PLEASE

Peyton made a 40% on her Math test. If she got 12 questions correct, how many total questions were on the test?

Answers

Answer: 30

Step-by-step explanation:

40% = 12 | 40% + 40% = 80% | 80% = 24 | 12 / 2 = 6 | 6 = 20% | 40% + 40% + 20% = 30 questions

Please note that i'm not a professor and i might have this wrong.

Please please help me with this question please now and show your steps

Answers

y = x^2 - 8x + 7

a) y-intercept

The y-intercept is the point where it crosses the y axis so x would 0.
So putting in 0 for x:
y = x^2 - 8x + 7
y = 0^2 - 8(0) + 7
y = 0 - 0 + 7
y = 7
The y intercept is at the point (0,7).

b)
The zeroes are the points where it crosses the x axis so it’s when the y is set to 0.

0 = x^2 - 8x + 7
Since it’s a quadratic equation we have to factor it. We fill in 2 numbers that add to -8 and multiplied to equal 7.
(x +____)(x+ ____)

The 2 numbers are 7 and -1 because -1*-7=7 and -7+(-1)=-8. So:
0 = (x-7)(x-1)

So now we have x-7 and x-1 equaling some quantity. If either of those happens to equal zero, it makes the whole equation 0, because (x-7)0=0 and 0(x-1)=0

So we can set each of it separately to 0 to solve for x.
x-7=0
x= 7

x-1=0
x= 1

The zeroes are at the points (1, 0) and (7, 0)

C.
The Vertex Form of a Quadratic is:
y = a(x-h)^2 + k. And the vertex is (h, k)

y = x^2 - 8x + 7
y - 7 = x^2 - 8x

We want to complete the square by adding some number to both sides of the equation so that when we factor it we are going to get (x-a)(x-a).

So take half of 8 to get two equal numbers that would be our “a”. 8/2=4 so we want (x - 4)(x- 4).

(x-4)(x-4) multiplies out to x^2 - 8 + 16.

continuing,
y - 7 = x^2 - 8x

Add 16 to both sides.
y - 7 + 16 = x^2 - 8x + 16

y + 9 = (x-4)(x-4)
y + 9 = (x-4)^2
y = (x-4)^2 - 9 is the vertex form.

The vertex is at the point (4, -9). So the axis of symmetry is at the line x = 4.

D. The vertex is solved in C as the point (-4, -9).

HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE

Answers

Answer:

Step-by-step explanation:

factor the numerator and denominator and cancel the common factors

For brainily please help

Answers

Answer: b = 69

The slashes mean the opposite angles are the same. This is and isosceles triangle, which mean two sides are the same and one is not.

A triangle = 180

We know one angle is 42 and the other two angles are the same.

Subtract 42 from 180

180 - 42 = 138

Now the 138 is going to two sides but we know they are equal so we can divide 138 by 2

138 divided by 2 = 69

So b = 69

Yolanda would like to attend a 12-month program that will certify her as a court reporter. The program costs $8,500 in tuition, fees, and books and will allow her to make
about $31,250 a year when she becomes certified. She will not have time to work during the year of training. Assuming she could make $18,000 a year without the
training, how many years will it take her to recoup her investment? years

Answers

Answer:

15 months and 8 days

Step-by-step explanation:

31,250 / 12 = 2604.16667 8,500/ 2604.16667 = 3.264 months of second year 12 + 3.264 = 15.264 months days 30 * 0.264= 7.92 add the together = 15 months and 8 days

3(x+1)=2(x-3) whats the answer

Answers

The answer is -9

I dont know the step-by-step used a calculator

Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?

Answers

Answer:

She'd have $45

Step-by-step explanation:

4% of 75 is 3 dollars.

So 3 dollars per year and after 10 years the account lost $30 to the simple interest.

3*10(AmountOfYears)=30

So 75-30=45

$45 would be left in the savings account.

PLEAS HELP SOLVE FOR A WITH STEPS PLZ DUE TONIGHT

Answers

Ans wer

i dont know hmmmmmmmmmmmmmmmmmmmmmmmmmm

Step-by-step explanation:

The answer is a=-88
Multiply on both side and equal it toda h other

Alicia wants a pair of shoes that cost $68.48. If 17% sales tax must be added to the price, approximately
how much will the shoes cost including sales tax?

Answers

Answer:

$80.12; approx. $80

Step-by-step explanation:

- multiply 68.48 x 17% or 68.48 x 0.17 = 11.64

- the tax is 11.64

- add 68.48 + 11.64

- her total is $80.12

- rounded it would be $80

Hope this helped!

Need some assistiance.

Answers

The answer is B

Solution

Answer:

B. 1 1/7

Step-by-step explanation:

Pls, choose me as brainliest!

if i fill the 42 L tank in my car and take a 360km trip. If my car consumes gasoline at a rate of 8 L per 100km how muck farther can i go before i run out of gasoline.

Answers

Using the principle of proportional relationship, the 42 L of gas can go for a further 165 km

Consumption rate = 8L for 100 km

Km per Litre :

8L = 100km

1 L = m

8m = 100

m = (100 ÷ 8)

= 12.5 kilometer per Litre

Number of kilometers for 42 L

12.5 km = 1 L

m = 42 L

Cross multiply

m = 12.5 × 42

m = 525 km

The difference in the distance = 525 - 360 = 165 km

Therefore, the gas can go for a further 165 km

Learn more : https://brainly.com/question/18112348

you divide a number by 3, add 6, then subtract 7. The result is 4. What is the number?

Answers

Answer:

Step-by-step explanation:

15 because 15 divided by 3 equals 5 + 6 equals 11 and 11 minus 7 equals 4

Please help me ASAP

Answers

Answer:

x ≤ -17

Step-by-step explanation:

Expand the brackets in this expressions
(2y)²

Answers

Answer:

4y²

Step-by-step explanation:

(2y)² = 2²*y² = 2*2*y² = 4y²

Is g correct? I need help in this

Answers

i did 14 times 4 % (.04) and i got 0.64

No the answer is F

4% of 16 is 0.64. Add that to 16 and you get 16.64, letter F.

Simplify 20+16➗2

Please answer ASAP

Answers

Answer:

28, trust me

Step-by-step explanation:

Find the value of x. Then find the measure of each labeled angle.

Answers

Answer:

x = 114°

Step-by-step explanation:

x + (x - 48) = 180

2x = 228

x = 114

114 - 48 = 66

ALL FELLOW PEOPLE I NEED HELP ASAP ! WILL MARK BRAINLIEST!!EXTRA POINTS !!!!

Answers

Answer:

3) parallel

4) y = -1/2x +5

Step-by-step explanation:

3) Two equations are parallel if they have the same slope

The equations are written in y=mx+b (standard) form, where m is the slope. Both equations have a slope of 5/4

4) The two points that are plotted are (0,5) and (4,3).

We can find the slope by using the slope equation

(3) - (5) / (4) - (0) = -2/4 = -1/2

then we can plug it in both points to find b

-1/2(4) = -2

-2 + b = 3

b = 3

find the area
(not to scale)

Answers

Answer: no

Step-by-step explanation: no

draw a suitable line on the grid and use your graphs to solve the equation 2/x - x^2 =5x

Answers

Answer:

I graphed the answer above in the image

10 ft 8 ft 6 ft Find the area of this figure. Round your answer to the nearest hundredth. Use 3.14 to approximate n. A = [ ? ] ft?

Answers

Answer:

l×b×h-this is the order

10×8

=80 --area 1:maximum

10×6= 60--area2: minimum area

8×6=48--area3:middle area

if you follow the order

the answer is= 60ft

Will mark brainly if correct please help

Answers

The answer is n=7 please mark Brainelist

Answer:

n=7

Step-by-step explanation:

84×2=n×24168=24n168/24=nn=7

Which relationship is NOT a function?

Answers

Answer:

Step-by-step explanation:

Answer:

If it is possible to draw any vertical line (a line of constant x) which crosses the graph of the relation more than once, then the relation is not a function. If more than one intersection point exists, then the intersections correspond to multiple values of y for a single value of x (one-to-many).

Step-by-step explanation:

Which equation represents “fifteen more than r is sixty-one?”

Answers

Answer:

r + 15 = 61

Step-by-step explanation:

Find the slope, m, and y-intercept, b, for the graph of the linear equation represented by the table below.

Answers

Answer: m=1/2, b=-7

Step-by-step explanation:

(0,-7) is the y-intercept on the line...

Which graph shows y=x^2+3x-4

Answers

Answer:

Third graph in the photo

Step-by-step explanation:

x^2+3x-4 can be factored as (x+4)(x-1). When y=0, x must be -4 or 1 to satisfy the equations, and thus the roots of the graph are at x=-4 and x=1. When x=0, y=(4)(-1)=-4. The only graph that satisfies both of these requirements is the third/last one.

Richard had 180 total minutes to do
homework, mow the grass, and walk the dog.
He spent 3(x + 4) minutes mowing the
grass.
He spent (x + 3) minutes working on
homework
He walked the dog for x minutes.
How many minutes did Richard spend
mowing the grass?

Answers

3(x+4)= 3x+12
3x+12+x+3+x=5x + 15
5x+15=180
5x=180-15
5x=165
x=165/5
x= 33min

mowing the grass = 3(x+4)
= 3(33+4)
=99+12
=111 min mowing grass

Can someone please help me with this I really need help.

Answers

Answer:

The angle mPQO is 86°

Step-by-step explanation:

123°-37°

PLEASE HELP complete the construction a perpendicular line to segment AB through point P.

Answers

Answer:

Step-by-step explanation:

sorry i can't help

Other Questions

Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additionalquestionsOnline Content: Site 1The article provides a complete overview for fitness routines. Explain the second principle of training, and the balance one needs tofind. how is the earth rotating Which statement best expresses Emerson's point-of-view in the sentence?Pls help! Confused which type of biomolecule is a prominent part of animal tissue that functions in insulation to help animals conserve heat? Write at least 3 paragraphs in response to 1 of the 2 prompts listed below.Pretend the mayor of your town wants to outlaw Halloween. Write a letter to convince him that this is not a good idea. What was the best Halloween costume you have ever had? What made it so special?(make it as a girl writen it) NO LINKS I HAVE HAD IT WITH LINKS NOOO LINKS A person holds a bucket of weight 60N and climbs vertically the distance of 5m. What is the work done by gravity? write short notes on the following:1. Analytical chemist 2. Chemical engineer 3. Healthcare scientists 4. Forensic scientist 5. Research scientist 6. Toxicologists 7. Pharmaceutical chemist 8. Nuclear chemist 9. Industrial chemist. what is the primary pigment that makes leaves green in land plants? Find the distance between the points U(11, -2), V(-1,3) I will mark brainiest plz help Help ASAP! i will give brainliest! Why would the King send La Salle on such a dangerous expedition? Explain. What experiment determines the upper fixed point of a liquid in a glass thermometer Can someone pls help me with this!!! PLEASE DO!! will give brainliestWhich statement correctly describes the end behavior of the function f(x) = x2 2x + 8? What do Brunos parents do to prevent him from exploring? 3 please please please help me! what is one convention pueblo women traditionally use in pottery-making? relationship between the length (l) and ohmic conductor, its thickness (d) and the opposition (R) it offers a current passage Bonjour pouvez maider sil vous plat Travail faireQuestions extrait 2 d'Eugnie Grandet:Relevez les lments qui permettent de dire qu'on assiste une scne de faux semblants (suite).Analysez l'tat d'esprit de Grandet partir de la mtaphore de la ligne 11.Commentez l'emploi de la majuscule sur le mot "Argent" (12), relevez une priphrase qui s'y rapportedans le mme paragraphe.Relevez un oxymore dans le paragraphe 2.