Thirty-five less than the square of a number is the same as 2 times the number. Find the number

Answers

Answer 1

9514 1404 393

Answer:

  -5  or  7

Step-by-step explanation:

Let x represent the number. The problem statement tells us ...

  x^2 -35 = 2x

  x^2 -2x -35 = 0 . . . . subtract 2x to put in standard form

  (x -7)(x +5) = 0 . . . . . factor

  x = 7  or  x = -5 . . . . solutions are values of x that make the factors zero

The number could be either -5 or +7.


Related Questions

Find the value of x → x² = (Q - A)(Q - B)(Q - C) ….. (Q - Z)

Answers

Answer:

[tex]\boxed{0}[/tex]

Step-by-step explanation:

x² = (Q - A)(Q - B)(Q - C) ... (Q - Z)

x² =  (Q - A)(Q - B)(Q - C) ... (Q - P)(Q - Q)(Q - R) ... (Q - Z)

x² = (Q - A)(Q - B)(Q - C) ... (Q - P)(0)(Q - R) ... (Q - Z)

x² = 0

x = 0

Answer:

t8y8 uv7g7 ug8 ugy ug h 7 v jvu utyc7 . hit u ut taj h

Step-by-step explanation:

fucjvjvi j jvu jvivu igigi ivigi iigihi ivigi igih

Can someone help me with number 7

Answers

Answer:

1. zach is 20'

2. zack is 13

Step-by-step explanation:

If the trip is 865 miles about how many miles will David drive

Answers

I think it’s 865 miles

Answer:

865

Step-by-step explanation:

the trip is 865 miles so that is how many miles he will drive

What is an algebraic expression?

A. the operation between two number or letters

B. letters that represent numbers

C. a branch of mathematics

D. a combination of operations on letters and numbers

Answers

Answer:

d. a combination of operations on letters and numbers

Step-by-step explanation:

b is a variable and c can be all sort of things

Answer:

D. a combination of operations on letters and numbers.

Step-by-step explanation:

Water freezes at 32° Fahrenheit, which is 0° Celsius. Water boils at 212 Fahrenheit, which is 100 Celsius. Which temperature would be the best estimate for water at room temperature in Celsius

Answers

Answer:

20

Step-by-step explanation:

I don't really know how to explain this beyond either memorizing this or remembering that Fahrenheit is around 70 degrees and estimating it.

Please help me answer this :)
I will give braisnlt

Answers

Answer:

y = -1/2x + 4

Step-by-step explanation:

I got -1/2x because for every 2 spaces, the line goes down 1 (rise/run)

I got +4 because 4 is where x = 0, or the y intercept

simplifyyyyyyyyyyyyyyyyyy

Answers

Answer:

Step-by-step explanation:

x^2 - 11x + 30 = (x - 6)(x - 5)

x^2 - 4 = (x + 2)(x - 2)

x^2 + 3x - 40 = (x + 8)(x - 5)

x - 2 = x - 2

Invert and multiply the right fraction.

(x - 6)(x - 5)           (x - 2)

===========   x   =======

(x - 2)(x + 2)          (x + 8)(x - 5)

x - 5 on the top cancels with x - 5 on the bottom

x - 2 on the top  cancels with x - 2 on the bottom left

So what's left?

(x - 6)

===============

(x + 2)(x + 8)

This is likely the answer.

Answer:

[tex]\frac{x-6}{x^{2} +10x+16}[/tex]

Step-by-step explanation:

to much to explain

If p varies jointly as q and the cube of r, when
p=270 when q=6 and r=3, find the constant of
variation. Write your answer as a fraction.
y=kxz

Answers

Hope this might help u

The value of constant of variation is, 5.

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

⇒ p varies jointly as q and the cube of r.

Since, p varies jointly as q and the cube of r.

Hence, We can formulate;

⇒ p = k × q × r²

Where, k is constant of variation.

Here, p = 270 when q = 6 and r = 3.

Substitute all the values, we get;

⇒ p = k × q × r²

⇒ 270 = k × 6 × 3²

⇒ 270 = 54k

⇒ k = 270 / 54

⇒ k = 5

Learn more about the proportion visit:

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A copy machine produces six pages a print and six seconds how many pages are produced per second

Answers

Answer:

if the printer produces 6 pages in 6 seconds it would be 1 page per second.

mathematically: 6 pages/6 seconds= 1 page/second

There would be one page per second since there are six pages and six seconds u divide and get one!! Hope this helped! BRANLIEST plz

Which of the following exponential functions goes through the points (1, 12) and (236)

Answers

Answer:237 . 12

Step-by-step explanation:

pleas give me a BRAINLY pleas

Answer:

y = 4[tex](3)^{x}[/tex]

Step-by-step explanation:

For an exponential function in the form

y = a [tex]b^{x}[/tex]

Use the given points to find the values of a and b

Using (1, 12), then

12 = ab → (1)

Using (2, 36), then

36 = ab² → (2)

Divide (2) by (1)

[tex]\frac{36}{12}[/tex] = [tex]\frac{ab^2}{ab}[/tex] , then

3 = b

Substitute b = 3 into (1) for value of a

12 = 3a ( divide both sides by 3 )

4 = a

Thus

y = 4[tex](3)^{x}[/tex] ← is the exponential function

6a) Choose yes or no to tell whether the GCF of 9 and 15 is 3.
Yes
Or
No

Answers

Yes because the greatest common factor (largest factor both numbers share) is three

Question 13 (3 points)
Intel's microprocessors have a 1.2% chance of malfunctioning. Determine the
probability that a random selected microprocessor from Intel will not malfunction.
Write the answer as a decimal.

Answers

Answer:

sorry

Step-by-step explanation:

What is probability? Put simply, it is the chance of an event occurring. Probability is often expressed in quantifiable terms as either a percentage or a decimal: for example, the chance of a coin landing as heads is 50% . It is impossible to be certain you can correctly predict whether the coin will land heads or tails, which makes the act of flipping the coin a random event. We can however, calculate the probability of the coin landing heads or tails.

The probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

Given that Intel's microprocessors have a 1.2 % chance of malfunctioning

The chance or probability of happening ant event  A is given by equation (1)

[tex]\rm Probability\; of \; happening \; of \; event \; A = P(A).........(1) \\The \; Probability \; of \; same \; event \; not \; happening = P(\bar A) = 100 - P(A) ........(2) \\Where \; P(A) \; is\; expressed \; in \%[/tex]

Let one Intel microprocessor be selected at random then from equations (1) and (2) we can write that

P( Malfunctioning of Intel's microprocessor) + P( Non malfunctioning of Intel's microprocessor) = 100 %

According to the given situation  From equations (1) and (2) we can write that

[tex]\rm 1.2\% + P( Non\; malfunctioning\; of \; Intel's\; microprocessor) = 100\% \\ \\ P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 100\% - 1.2 \% \\P( Non \; malfunctioning\; of \; Intel's\; microprocessor) = 98.8\% = 0..988[/tex]

So we can conclude that the probability that a random selected microprocessor from Intel will not malfunction 98.8% or 0.988

For more information please refer to the link given below

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Enter the rate of change of the table below

This is the table
X. Y

1 73

2 96

3 119

4 142



What is the rate of change



Answers

the rate of change is 23

which of the following is a quadratic function?

Answers

Answer:

A

Step-by-step explanation:

Y = ax2 +bx + c

Ramon earns $1,785 each month and pays $53.80 on electricity. To the nearest tenth of a percent, what percent of Ramon's earnings are spent on electricity each month?

Answers

Answer:

3.0%

Step-by-step explanation:

[tex](\frac{53.80}{1785}) * 100 = 3.01[/tex]

Suppose a publishing company estimates that its monthly cost is C(x) = 600{x^2} + 300xC(x)=600x 2 +300x and its monthly revenue is R(x) = - 0.4{x^3} + 700{x^2} - 600x + 500R(x)=−0.4x 3 +700x 2 −600x+500, where x is in thousands of books sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?​

Answers

Answer:

the answer is A,

P(x) = -0.4x³+100x²-900x+500

Step-by-step explanation:

monthly cost:

[tex]c(x) = 600x {}^{2} + 300x[/tex]

monthly revenue:

[tex]r(x) = - 0.4 {}^{3} + 700x {}^{2} - 600x + 500[/tex]

profit function:

[tex]p(x) = r(x) - c(x)[/tex]

[tex]p(x) = ( - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500) - (600x {}^{2} + 300x)[/tex]

i) remove the first bracket

[tex]p(x) = - 0.4x {}^{3} + 700x {}^{2} - 600x + 500 - (600 {x}^{2} + 300x)[/tex]

ii) there is a negative sign, '-' in front of the second bracket. so, change the sign of each term of the expression inside the bracket

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600x + 500 - 600x {}^{2} - 300x[/tex]

iii) collect like terms

[tex]p(x) = - 0.4x {}^{3} + 700 {x}^{2} - 600 {x}^{2} - 600x - 300x + 500[/tex]

iv) simply the like terms

[tex]p(x) = - 0. 4{x}^{3} + 100 {x}^{2} - 900x + 500 [/tex]

what is the answer to (x+3)^5

Answers

(x + 3)⁵

= x⁵ + 3⁵

= x⁵ + 243

1. Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

Answers

Answer:

1) 0.99348

2) 0.55668

Step-by-step explanation:

Assume that men’s weights are normally distributed with a mean given by  = 172lb and a standard deviation given by  =29lb. Using the Central Limit Theorem to solve the following exercises

When given a random number of samples, we use the z score formula:

z-score is z = (x-μ)/σ/√n where

x is the raw score

μ is the population mean

σ is the population standard deviation.

(1) If 36 men are randomly selected, find the probability that they have a mean weight greater than 160lb.

For x > 160 lb

z = 160 - 172/29/√36

z = 160 - 172/29/6

z = -2.48276

Probability value from Z-Table:

P(x<160) = 0.0065185

P(x>160) = 1 - P(x<160) = 0.99348

(2) If 81 men randomly selected, find the probability that they have a mean weight between 170lb and 175lb.

For x = 170 lb

z = 170 - 172/29/√81

z = 170 - 172/29/9

z = -0.62069

Probability value from Z-Table:

P(x = 170) = 0.2674

For x = 175 lb

z = 175 - 172/29/√36

z = 175- 172/29/6

z = 0.93103

Probability value from Z-Table:

P(x = 175) = 0.82408

The probability that they have a mean weight between 170lb and 175lb is calculated as:

P(x = 175) - P(x = 170)

0.82408 - 0.2674

= 0.55668

5x+10y=5 -13x+4y=17 NEED HELP
WILL MARK THE RIGH ANSWER BRAINLIEST

Answers

Answer:

I think x = 1 and y = 1/2. For the second: x = -1 4/13 or -1.307692, y = 4 1/4 or 4.25

Step-by-step explanation:

System of Linear Equations entered :

[1] 5x + 10y = 5
[2] -13x + 4y=17


Solve by Substitution :

// Solve equation [2] for the variable y


[2] 4y = 13x + 17

[2] y = 13x/4 + 17/4
// Plug this in for variable y in equation [1]

[1] 5x + 10•(13x/4+17/4) = 5
[1] 75x/2 = -75/2
[1] 75x = -75
// Solve equation [1] for the variable x


[1] 75x = - 75

[1] x = - 1
// By now we know this much :

x = -1
y = 13x/4+17/4
// Use the x value to solve for y

y = (13/4)(-1)+17/4 = 1
Solution :
{x,y} = {-1,1}

Find the product:
1.7
x 0.5

Answers

Answer:

0.85

Step-by-step explanation:

Point Q lies on the circle and has an X-coordinate of 4. Which value could be the y-coordinate for point Q? ​

Answers

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

[tex]r^2=x^2+y^2[/tex]

Solving for y:

[tex]y^2=r^2-x^2[/tex]

[tex]y^2=5^2-4^2[/tex]

[tex]y^2=25-16=9[/tex]

[tex]y=\sqrt{9}=3[/tex]

The y-coordinate of Q is 3

Find x and y

Classify the middle triangle by its sides

Answers

If y is on triangle then it’s 40 degrees

solve the system of linear equations. 3x+4y= -18 ; y= -4x -11

Answers

Answer:

(-2,-3)

Step-by-step explanation:

f(x) = 2x3 + 6x2 – 5x – 3
g(x) = 3x – 4
Find (f - g)(x).
O A. (f - g)(x) = 2x3 + 6x2 – 2x – 7
O B. (f - g)(x) = 2x3 + 6x2 – 2x + 1
O c. (f - g)(x) = 2x3 + 6x2 – 8x – 7
O D. (f - g)(x) = 2x3 + 6x2 – 8x + 1

Answers

Answer:

D) is the answer

Step-by-step explanation:

It is taught in 5th class in India

Mark as Brainliest.

Because I am Indian and solving your question from India.

The correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given that:-

f(x) = 2x³ + 6x² – 5x – 3

g(x) = 3x – 4

The function (f-g)x will be calculated as follows:-

(f - g)(x) = f(x) - g(x)

(f - g)(x) = ( 2x³ + 6x² – 5x – 3 )  - ( 3x – 4 )

(f - g)(x) =  2x³ + 6x² – 5x – 3 - 3x + 4

(f - g)(x) =   2x³ + 6x² – 8x + 1

Therefore the correct answer is option D which is  (f - g)(x) = 2x³ + 6x² – 8x + 1.

To know more about function follow

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[tex]\frac{r}{6} = 8[/tex]

what is r?

Answers

The answer is 48, hope that helps
My answer~

r = 48

My explanation~

r/6 = 8 // - 8

r/6-8 = 0

1/6*r-8 = 0 // + 8

1/6*r = 8 // : 1/6

r = 8/1/6

r = 48

And to check~

48/6

48 ÷ 6

=

8

:PP hope i helped!!have a good day :3

Luis wants to buy Jordans for 75.23. He saves 10.27 per month. Write an equation to solve how many months he'll need to save. Use x for the variable and do not have any spaces.

Answers

Answer:

75.23=10.27x

Step-by-step explanation:

Around 7 months

Can someone help me with this question

Answers

The answer is A or c I’m probs wrong

How would I write f(x) = -4(x-2)+ 7 in standard form

Answers

Answer:

The standard form of the given equation is f(x) =  0x²-4x+15=0

Step-by-step explanation:

The standard form  is ax²+bx+c=0

Given f(x) = -4(x-2)+ 7

   we can write the standard form

                     =  0x² -4(x-2)+7 =0

                   ⇒   0x² -4x +8 +7 =0

                   ⇒   0x² -4x + 15 =0

now comparing the standard form ax²+bx+c=0

                      a = 0 , b= -4 and c =15


WILL MAKE BRAINLIST


The booster club needs to raise at least $5000 for new football uniforms. So far they have raised 1,280 enter an inequality to find the a average amounts each of the 97 members can raise to meet the club's objectives

Answers

Answer:

Step-by-step explanation:

5000[tex]\geq[/tex]1280+97x

Use a table of values to graph the function [tex]f(x) = -2\sqrt[3]{x}[/tex]. Select the correct graph below

Answers

Answer:

the correct graph is B

Step-by-step explanation:

to check, you can see that my graph and graph in answer B both intersects at (-1,2)

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