1. twice the square of the sum of a number and 3 is 98.find the number​

Answers

Answer 1

Answer:

Step-by-step explanation:

Let the number be x.

twice the square of the sum of a number and 3 is expressed as;

2(x+3)²

If the expression is equal to 98, then;

2(x+3)² = 98

divide both sides by 2;

2(x+3)²/2 = 98/2

(x+3)² = 49

square root both sides

√(x+3)² = √49

x+3 = ±7

x = ±7-3

x = 7-3 or -7-3

x = 4 or -10

Hence the number is 4 or -10

Answer 2

The number is -4 or 10

Let n represent the unknown number

The following equation can be used to summarise the information given in the question

2 × n² = 98

The first step to take in order to determine the value of n is to divide both sides of the equation by 2

n² = 98/2

n² = 49

The second step is to determine the square root of both sides of the equation

n =√49

n =-7 or +7

The number = - 7 + 3 = - 4 or 7 + 3 = 10

A similar question was solved here: https://brainly.com/question/18118670?referrer=searchResults


Related Questions

Which of the following can you add/subtract?

A) 5√4 + 6√4

B) 3√7 − 3√5

C) 9 √ + 39√

Answers

Answer:

A

Step-by-step explanation:

you can only +/- an equation like this with the same square root

Jeff earns money mowing lawns. His earnings and hours worked represent a direct variation. He worked for 5 hours and earned $37.50. Determine the constant of proportionality for dollars earned per hours worked and for hours worked per dollars earned.

Answers

Answer:

Jeff earns $7.50 dollars per hour

Step-by-step explanation: Just divide $37.50 and 5.  

convert the mixed number into a decimal. 5 1/4 That is the fraction of 5 and 1/4

A. 5.25
B. 5
C. 525
D. 52.5​

Answers

Answer:

The answer is A.

Step-by-step explanation:

I did it.

Which table shows a proportional relationship ?? Pls help

Answers

Answer:

Option 2

Step-by-step explanation:

If you multiply 2 by 2 you get 4. If you multiply 3 by 2 you get 6. If you multiply 4 by 2, you get 8. If you multiply 5 by 2 you get 10. A proportional relationship is where you can multiply all the numbers by a certain number to get the answer. In this case, all the numbers in the left column could get multiplied by 2 to get the number in the right column.

please help me solve this problem

Answers

Answer: x = 15
Explanation: To solve for x, you need to put the two given expressions side by side. (2x-5=x+10). Then you will solve for x using inverse operations. if you need more help or want me to explain further please feel free to message me :)


Emily is adding 51 and 29. Which steps can she use to add the numbers

Answers

Answer: She can first add 20 to 51, 51+20=71, then she can add 9, 71+9=80.

So 51 + 29 = 80

Step-by-step explanation: Hope this helps!

51
+29

1+9=10

Carry the 1 over the 5 and leave the 0 below the 9

Then it’s 5+2=7 plus that one above the five making it 8

So the answer is 80

a fish tank is in the shape of a cube the. volume of the fish tank is 64 cubic feet. What is the area of one face of the fish tank in square feet​?​

Answers

16 square feet. The cube root of 64 is 4, which is equal to the length of one side. The area of one side is the length times the width, and since this is a cube, the length equals the width, meaning that the side is 4 times 4 which is 16

16 square feet (also can be written with an exponent 2 as in 16 ft^2)

Cube root of 64 is 4.

Why cube root? Because you need to multiply three numbers to get volume ( length, width, height.)

4x4 is 16.

Area, so you have to add the square feet

16 ft^2

Or

16 square feet

Pls mark branliest if this helped

Is -3/4 rational or irrational

Answers

Answer:

Rational

Step-by-step explanation:

The fraction -3/4 can be written as a ratio, and is a finite amount, making it rational.

Rational is the answer for this

You typed a 600 word essay in 12 minutes. Let w be the number of words you can type in one minute. Can w be 60?

Answers

Answer:

w = 50

Step-by-step explanation:

600 = 12w

600/12 = 12/12w

w = 50

The next train will arrive in 32 minutes and 30 seconds.

In how many seconds will the next train arrive?

Answers

Answer:

1950 seconds

Step-by-step explanation:

if sixty seconds are in a minute, then you just multiply 32, the number of minutes by the number of seconds in a minute and add 30.

In a mid-size company, the distribution of the number of phone calls answered each day by each of the 12 receptionists is bell-shaped and has a mean of 48 and a standard deviation of 9. Using the Standard Deviation Rule (as presented in the book), what is the approximate percentage of daily phone calls numbering between 30 and 66?

Answers

Answer:

95.44%

Step-by-step explanation:

Mean (m) = 48

Standard deviation (sd) = 9

n = 12

Zscore = (x - m) /sd

X = 30

Zscore = (30 - 48) / 9

Zscore = - 2

X = 66

Zscore = (66 - 48) / 9

Zscore = 2

percentage of daily phone calls numbering between 30 and 66 = P(z < 2) - p(z < - 2)

P(z < 2) = 0.9772

P(z < - 2) = 0.0228

Hence,

0.9772 - 0.0228 = 0.9544

0.9544 * 100% = 95.44

Can someone please help me with these 50 points I just don't get it I need help?

Answers

Answer: I think the first one is A. and the next one is B

Step-by-step explanation:

Suppose you had two circular objects. Let the first circular object have a diameter of 26 cm and let second circular object have a diameter that is half as long as the diameter of the first. What would the circumference be for the second item in centimeters?

Answers

Answer:

its sonar

Step-by-step explanation:

h bug

Proving Triangles congruent: ASA, AAS, SAS SSS
Cate:
For each problem give the correct naming order of the congruent triangles Write that name in order on the
lines for the problem number (see box at bottom) Aso indicate which postulate or theorem is being used
2
AVAVAV
N
ASC.
ABC a
by
LABCO

Answers

Answer:

WIR by SAS

EHS by AAS

GTN by SSS

Jessica is buying roses to sell at a fundraiser for school. She needs to purchase the roses at the lowest price per rose to allow for the highest profit margin. The roses are sold in bunches of 4, 6, 8, or 12. The chart below shows the prices for the different bunches of roses. Roses in Bunch Price 4 $7.98 6 $8.50 8 $10.25 12 $12.25 Based on the information in the chart, which size bunch would be the least expensive per rose? A. 4 B. 6 C. 8

Answers

Answer:

how do i comment

Step-by-step explanation:

Will give brainliest will give brainliest will give brainliest and 60 think point

Answers

Answer:

∠3 and ∠2

Step-by-step explanation:

Adjacent angles are angles that have a common side and common vertex which each other.

The first option is incorrect because they don't share a common side. They do share a vertex but that isn't enough to call them adjacent.

The second option is correct because they share a common side and vertex.

The third option is incorrect because they don't share a common side.

The fourth option is incorrect because they don't share a common side. These two angles are congruent and opposite angles.

Best of Luck!

Answer:

3

Step-by-step explanation:

I HAVE 5 MINUTES PLZ HELP ! (its a slope problem)

Answers

Answer:

-1/4

Step-by-step explanation:

Simply draw a slope triangle

Answer:

its -1/4 which is the third option

Step-by-step explanation:

negative because it's going down, 1/4 because every four blocks to the right it goes down by only one block

EMERGENCY PLEASE HELP (22 points)
Look at pic to see problem

Answers

Answer:

(-4, 7)

Step-by-step explanation:

x is found on the x axis its -4

to find y you go up to where the point bvb is it is located at positive 7

Answer:

(-4,7)

Step-by-step explanation:

This is the answer because the x-axis is -4, and the y-axis is 7. If it was put in any other way it would be wrong.

6. A set of data points has a correlation coefficient r = -0.86. Your friend claims

that because the correlation coefficient is close to -1, it is reasonable to use the

line of best fit to make predictions. Is your friend correct? Explain your reasoning.

Answers

Answer:

Yes

Step-by-step explanation:

The line of best fit is used in linear regression models to make predictions, the line of best fit gives the relationship between the dependent and independent variables by obtaining the Coefficient of correlation. The Coefficient of correlation is a value which ranges from - 1 to 1. With values close to either - 1 or 1 depicting a strong negative and positive relationship respectively. Hence, with a correlation Coefficient of - 0.86, which signifies a strong negative relationship, then we can go ahead and make prediction using the model.

5) 2-X = 15
Find the value of x

Answers

Answer:

x= -13

Step-by-step explanation:

-x= 13

x=-13

Answer:

13 urgupieux8ttc9y d6 og

Plz help
2.
The midpoint of AB is M. If the
coordinates of M are (,-2) and
the coordinates of B are (6,1),
what are the coordinates of A?
a) (-5,-5)
b) (2, -10)
c) (-10, 2)
d) (-13/4,-3/2
e) (-5,5)

Answers

Answer:

A

Step-by-step explanation:

the distance between M and point be is 5.5 for the x coordinate and 3 for the y coordinate. to find point b you added 5.5 to to the x and 3 to the y so if you subtract this from point M you get (-5,-5).

Evaluate the function f(x) = sec(x - ) for x = 0.

Answers

answer:


explanation:

Able has a younger sister and an older brother.

- Able’s age can be represented by x.
- Able’s sister is 4 years younger than him.
- Able’s older brother is twice as old as he is.
- The combined age of all three siblings is 32.

How old is Able’s younger sister?

9 years

13 years

5 years

3 years

Answers

Answer:

5 years

Step-by-step explanation:

1. if able's age is x, then his sister's is x-4, and his brother's is 2x

2. if these sum to 32, then we can formulate the equation x+(x-4)+2x=32

3. now solve for x, 4x-4=32, 4x=36, x=9

4. if able's sister is x-4 years old, she is 9-4, or 5 years old

According to the chart, which building took longer to construct: the Taipei 101 or the Petronas Towers?

Answers

Answer:

im not 100 percent sure but i think its the taipei 101

Step-by-step explanation:

im brain dead and i dont even trust myself but i passed the quiz so hope this helps

Answer:

C. they took the same amount of time

Step-by-step explanation:

Need help ASAP
Please

Answers

Answer:

area:[tex]16x^2+24x+9[/tex] Perimeter: 16x+12

Step-by-step explanation:

area :[tex](4x+3)^2[/tex]

thats [tex]16x^2+24x+9[/tex]

P: 4(4x+3)

thats 16x+12

Hope this helped you

<3

Red

Answer:

Perimeter is all sides added together, while Area is one side height times length

Step-by-step explanation:

Since your shape is a square all sides are equal so the equation is the same for all sides

Perimeter = 4z+3+4z+3+4z+3+4z+3 or (4z+3)4

14z+12 <= answer for perimeter

Area = (4z+3) (4z+3)

16z^2+12z+12z+9

16z^2+24z+9 <= answer for area

Is the difference of 18 and 3 a rational number?

Answers

Answer:

it is a whole number but because rational numbers include all intergers and whole numbers it is also a rational number

Step-by-step explanation:

The difference of 18 and 3 would be 18-3 which is 15. 15 is a rational number. It is an integer, and all integers are rational numbers.

OK, this question is a little complicated. Solve v, 5/v=7.25

Answers

Answer:

Hope this helps you .....

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

A Toy Story poster is enlarged. The new length is 5 feet and the width is 3 feet. The original length was 6 inches what was the width?

Answers

Okay so changing from 6 inches to 5 feet is a 1:10 ratio (since 5 (feet) x 12 (inches) = 60 (inches) this gives you a 6 (original inches): 60 (inches after enlarging) ratio, which is simplified to 1:10 when you simplify both sides by a factor of 6.
So, let’s plug the 3 feet into this ratio. 3 feet is equal to 36 inches. This gives you 3.6 inches. (Since 3.6 times 10 is 36)

Hope this helps!!

99/225 simplified to the lowst term

Answers

Answer:

[tex]\frac{11}{25}[/tex]

Step-by-step explanation:

Answer:

11/25 the lowest this fraction can go.

5(2x-3)=24

Help me in this pleasee

Answers

Answer:

x = 3.9

Step-by-step explanation:

5(2x-3)=24

Distribute

10x -15 = 24

Add 15 to each side

10x-15+15 = 24+15

10x = 39

Divide each side by 10

10x/10 = 39/10

x = 3.9

The answer is x=39 under 10
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