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

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).

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.

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

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

Answers

The answer is -9

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

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

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

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

Answers

Answer:

r + 15 = 61

Step-by-step explanation:

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

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

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!

Simplify 20+16➗2

Please answer ASAP

Answers

Answer:

28, trust me

Step-by-step explanation:

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:

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

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

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:

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

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.

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

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...

Expand the brackets in this expressions
(2y)²

Answers

Answer:

4y²

Step-by-step explanation:

(2y)² = 2²*y² = 2*2*y² = 4y²

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.

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.

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

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

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

Answers

Answer:

The angle mPQO is 86°

Step-by-step explanation:

123°-37°

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

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

Need some assistiance.

Answers

The answer is B

Solution

Answer:

B. 1 1/7

Step-by-step explanation:

Pls, choose me as brainliest!

find the area
(not to scale)

Answers

Answer: no

Step-by-step explanation: no

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