Solve the following quadratic function
by utilizing the square root method.
Simplify your answer completely.
f(x) = 100 – 49x^2

Answers

Answer 1

Answer:

x = 10/7 or x = -10/7

Step-by-step explanation:

By using the completing the squares method, we have to divide the coefficient of the x term by 2, square it and add to both sides

From what we have here, the coefficient of the x term is 0

Thus, we have it that;

0 = 100 - 49x^2

We can proceed to use the difference of two squares here;

Whereby;

a^2 - b^2 = (a-b)(a + b)

0 = (10-7x)(10+7x)

10 - 7x = 0 or 10 + 7x = 0

7x = 10 or 7x = -10

x = 10/7 or x = -10/7


Related Questions

A rectangle’s width is one-fourth of its length. Its area is 9 square units. The equation l(l) = 9 can be used to find l, the length of the rectangle.

What is the length of the rectangle?

0.75 units
1.5 units
3 units
6 units

Answers

Answer:

6 units

Step-by-step explanation:

The formula for the area of a rectangle = Length × Width

A rectangle’s width is one-fourth of its length.

W = 1/4 × L

W = L/4

Cross Multiply

L = 4W

A = 9 square units

Hence

9 = L × W

We substitute 4W for L

9 = 4W × W

9 = 4W²

We square root both side

√9 = √4W²

3 = 2W

W = 3/2

W = 1 1/2 unit or 1.5 units

Solving for L = Length

9 = L × W

9 = L × 1.5

L = 9/1.5

L = 6 units

Therefore, the Length of the rectangle = 6 units

Please help don’t understand will mark brainliest be geniune no links

Answers

Answer:

226.19 cubic kilometers

Step-by-step explanation:

In the photo.

Please helpppppp! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Its hard  to tell the width and length from this way, but here i got 104 square inches.

please help i’ll give brainliest

Answers

Answer:

1st option

Step-by-step explanation:

Thats a weird problem tho,

-Gage Millar, Algebra 2 tutor

Which sets of side lengths could form a triangle?
A. 3 centimeters, 4 centimeters, 9 centimeters
u
B. 3 centimeters, 6 centimeters, 9 centimeters
C.4 centimeters, 5 centimeters, 9 centimeters
D. 4 centimeters, 6 centimeters, 9 centimeters
E. 5 centimeters, 5 centimeters, 9 centimeters

Answers

Answer:

D and E

Step-by-step explanation:

The 2 smallest sides added up are larger than the biggest side

Answer:

I tried all of them but I keep getting decimals instead of 9

Step-by-step explanation:

PLZZZ HWLP ITS DUE 5 MINUTES JUST TELL ME THE ANSWER AND DONT JUDGE YES I DONT PAY ATTENTION BUT HELP ITS DUE 5 MIN

Answers

Answer:

3. The shape has two parallel sides(a,c and d,b in my picture). This is a parallelogram.

4. This shape has all the sides even and has 2 sides parallel to each other(d,b and a,c(picture)). This is a rhombus.

Step-by-step explanation:

MARK ME BRAINLIEST PLZZZZZZZZZzzzzzzzzzzzzzzzzzzzzzzzz

How do I solve this without it giving me an actual inequality? It’s just the graph and possible solution...

Answers

Answer:

B and C

Step-by-step explanation:

Looking at the graph we can see that:

(1, 5) - lies on the border line, no(1, 0) - in the shaded region, yes(4, 2) - in the shaded region, yes(-1, 5) - lies outside of the shaded region, no(-4, 1) - lies outside of the shaded region, no

Answer:

D.

Step-by-step explanation:

Sorry if wrong :> Hope i helped! Have a awesome day!!! You're a great hooman ^_^ Please mark brainliest !!

Which of the following sets of numbers contains only rational numbers?

Answers

Answer:

f

Step-by-step explanation:

rational numbers are numbers that can be written in the form of a fraction

Solve for X


explain the process for this problem​

Answers

Answer:

x = 40

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

126° is an exterior angle of the triangle, then

x + 2x + 6 = 126

3x + 6 = 126 ( subtract 6 from both sides )

3x = 120 ( divide both sides by 3 )

x = 40

Convert the following fraction to a decimal.
A. 0.79
B. 0.70
C. 0.7
D. 0.07

Answers

Answer:

what is the fraction?

Step-by-step explanation:

Which equation(s) represents proportional relationship(s) with a constant of proportionality equal to 2?

Select ALL that apply.
A.y=2x

B.−y=−2x

C.2y=x+2

D.2y=4x

E.y=2+x

F.y+2=2x+2

Answers

Answer:

y=2x

Step-by-step explanation:

PLEASE HELP RATIONAL EQUATIONS

Answers

It’s the first one.

Write the absolute value inequality in the form |x-b| c that has the solution set x<-5 or x>7.

Answers

Answer:
|x - 1| > 6
Step-by-step explanation:
b is the centre:
(-5 + 7)/2
2/2 = 1
b = 1
c is the distance from the centre
c = 7 - 1 = 6
Since it's an or case, > with the modulus
|x - 1| > 6

how do you turn 20 into a fraction?
Step by step explaination

Answers

Answer:

20 can work as an improper fraction, like 20/1. or you can de-simplify it or whatever it's called and make it like 40/2 or 80/4. Hope this helps. :)

Step-by-step explanation:

p

The answer is [tex]\frac{40}{2}[/tex] or [tex]\frac{60}{3}[/tex]

----------------------------------------

[tex]\frac{20x2}{1x2}[/tex]= [tex]\frac{40}{2}[/tex]

[tex]\frac{20x3}{1x3}[/tex]= [tex]\frac{40}{3}[/tex]

(hope this help you :D)

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Answers

Answer:

Its 8

Step-by-step explanation:

add all the numbers then divide by 6.

Answer:

it is 11

Step-by-step explanation:

I am a professor and I'm related to Albert Einstein so, please give me points and brainliest please.

the length of the altitude from the right angle to the hypotenuse of a right triangle is the _______ mean of the two segments that makes the hypotenuse.

Answers

Answer:

The length of the altitude from the right angle to the hypotenuse of a right triangle is the geometric mean of the two segments that make the hypotenuse.

2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.

A^2 + b^2=c^2

true or false

Answers

Answer:

Maybe True

Step-by-step explanation:

Hence, to find the area of a triangle, we need to know the base (b) and height (h) of it. This formula is applicable to all types of triangles, whether it is scalene, isosceles or equilateral.

BRAINILIEST PLEASE

Answer:

2. The formula below, the legs of the triangle are a and b. The hypotenuse is c.

True

HELP
I will mark brainliest just answer quick

Answers

Answer is a I think

I would like some assistance. Please, no downloadable virus links. I just need, a direct answer. Thanks.

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

A study was commissioned to find the mean weight of the residents in a certain town. The study examined a random sample of 132 residents and found the mean weight to be 162 pounds with a standard deviation of 35 pounds. At the 95% confidence level, find the margin of error for the mean, rounding to the nearest tenth

Answers

Answer: 6.1

We are 95% confident that the true mean weight of the population is within 6.1 pounds of the sample mean 162.

At the 95% confidence interval, the margin of error for the mean is  6.1 pounds

What is margin error?

The margin of error is "a statistic expressing the amount  of random sampling error in the results of a survey".

According to the question,

Number of random samples (n) = 132 residents

Mean of weight of random samples (x⁻)= 162

Standard deviation of random samples (σ)= 35 pounds

In order to find at the 95% confidence interval, the margin of error for the mean.

Margin error =  z (σ/√n)

The critical region 95% confidence interval under normal curve is 1.96.

= 1.96 (35/√132)

=1.96(35/11.48)

=1.96(3.0488)

= 5.9708636  ≈ 6.1 pounds

Hence, at the 95% confidence interval, the margin of error for the mean is  6.1 pounds.

Learn more about margin of error here

https://brainly.com/question/15648759

#SPJ2

If (x) = 3x^2+ 10, what is f(-7)?

Answers

Answer:

157

Step-by-step explanation:

3(-7)² + 10

3(49) + 10

147+10

157

- Gage Millar, Algebra 2 Tutor

Answer to #3. Please help!!!

Answers

Answer:

option c 6 is the correct ans

f(1)= 5
g(2)= 1

5+1= 6

ANSWER:
c.) 6

HELPPPP PLEASEEEEEEEEE

Answers

Answer:

i have no idea

Step-by-step explanation:

please help me with this math question please I'm giving away brainliests ​

Answers

Answer:

DOMAIN : R/2

RANGE : R/5

VERIT TRANS =2

HORIZ TRANS =5

Step-by-step explanation:

mellany had 29 peaches left at her roadside food stand she went to the orchard to pick more peaches how many peaches does she have now

Answers

Answer:

Not enough info

Step-by-step explanation:

They don't tell us how many peaches she picked

∠B= please give me the answer!

Answers

Answer:

I think it's 45 degrees

Step-by-step explanation:

<c is 90 degrees and the interior of every triangle is 180 degrees so then we subtract 90 from 180 which is 90 so we divide 90 by two since b and a seem to be equal which is 45 degrees.

solve (4*3) + 2 , how are you all , freeee points​

Answers

Step-by-step explanation:

hope it is helpful to you

Answer:

14 is the answer.

Step-by-step explanation:

(4 × 3) + 2 = ?

→ (4 × 3) + 2

→ 12 + 2 = 14

which of these are qualdrilateral

Answers

Answer:

any four sided closed shape

Step-by-step explanation:

can you add the option?

Answer:

Square, Rectangle, Rhombus, Trapezoid, Parallelogram.

Find the measure of the arc or angle indicated.

Answers

Answer:

C

Step-by-step explanation:

Let solve for x

[tex]110 + 16x - 6 + 12x + 4[/tex]

[tex]28x + 108 = 360[/tex]

[tex]28x = 252[/tex]

[tex]x = 9[/tex]

Angle F is a inscribed angle that is intercepted by arc HG so

Angle F is half of Arc HG

Arc HG=

[tex]16(9) - 6 = 138[/tex]

so Angle F is

[tex] \frac{138}{2} = 69[/tex]

According to a survey of workers, 5/25 of them walk to work, 1/25 bike, 4/25 carpool, and 15/25 drive alone. What percent of workers walk or bike to work?

Answers

Answer: 24%

Step-by-step explanation:

First add up the proportion of people who walk to work and those who bike as well. This will show the proportion of people who walk or bike to work.

This is:

= 5/25 + 1/25

= 6/25

Then convert this to a percentage:

= 6/25 * 100

= 24%

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