Which are two numbers that multiply to -20 but add to 1

Answers

Answer 1

Answer:

-4 and 5

Step-by-step explanation:

(-4)(5)

=-20

(-4)+5

=1

Answer 2

The two numbers that multiply to -20 but add to 1 are 5 and -4.

We have,

To find two numbers that multiply to -20 but add to 1, we can set up a system of equations.

Let's assume the two numbers are x and y.

We can set up the following equations based on the given conditions:

Equation 1: xy = -20 (the numbers multiply to -20)

Equation 2: x + y = 1 (the numbers add to 1)

To solve this system of equations, we can use the substitution or elimination method.

Let's use the substitution method here:

From Equation 2, we can rewrite it as y = 1 - x.

Now substitute this value of y into Equation 1:

x(1 - x) = -20

Expanding the equation:

x - x² = -20

Rearranging the equation:

x² - x - 20 = 0

Now we have a quadratic equation.

We can factor it or use the quadratic formula to find the values of x.

Factoring the quadratic equation, we get:

(x - 5)(x + 4) = 0

Setting each factor equal to zero, we have:

x - 5 = 0 or x + 4 = 0

Solving for x, we get:

x = 5 or x = -4

Now, substitute these values of x back into Equation 2 to find the corresponding values of y:

For x = 5:

y = 1 - x = 1 - 5 = -4

For x = -4:

y = 1 - x = 1 - (-4) = 5

Therefore,

The two numbers that multiply to -20 but add to 1 are 5 and -4.

Learn more about expressions here:

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Related Questions

Greg bought a suit for $150. Cleaning costs will be $30 each year. He plans on wearing the suit 12 times each year. What will the cost per wear be after two years?

Answers

The cost per wear will be 2.5$ because you divide 30 by 12 and you get 2.5 for each wear and then for the second year do 60/24 and yoh will get the same answer

J is the midpoint of CT
С
J
T
If:
CJ = 5x – 3 and
JT = 2x + 21
Find CT.

Answers

Answer:

CT=37

Step-by-step explanation:

5x-3 = 2x+21

-2x

3x-3 = 21

+3

3x = 24

÷3

× = 8

5(8) - 3 = 37

2(8) +21 =37

Help (Math) Which of the following objects are needed to construct Parallel Lines? Select ALL that apply

Answers

Parallel,Point,Line?

FOR 100 POINTS please answer asap and if you don't know plz don't answer. Thank you A scuba diver was exploring a reef 39.6 m below sea level. The diver ascended to the surface at a rate of 8.8 m/min. distance = rate(time)
a) How is 39.6 m below sea level displayed as rational number? ( 3pts)

b) How long did it take the diver to reach the surface? (4pts)

Answers

Answer:

A)

[tex]-39.6[/tex]

B)

[tex]4.5\text{ minutes}[/tex]

Step-by-step explanation:

We know that the scuba diver is exploring a reef 39.6 meters below the sea level.

Remember that sea level is always 0 meters in elevation.

We also know that the diver ascended to the surface at a rate of 8.8 meters per minute.

Part A)

Since sea level is the 0th meter, anything below this will be negative.

So, since the diver is 39.6 meters below sea level, we can express this as:

[tex]-39.6[/tex]

Part B)

We know that the diver ascends at a rate of 8.8 meters per minute.

The diver is currently at 39.6 meters.

Remember that the surface is the sea level. So, we want to find after how many minutes m does the diver reach the 0th meter.

So, we can write the following equation and solve for m:

[tex]-39.6+8.8m=0[/tex]

The -39.6 represents the diver's current altitude.

The 8.8m represents the diver's rate of ascending 8.8 meters per minute m. Notice that 8.8m is positive because we're ascending.

And the 0 represents the 0th meter or sea level or the surface.

So, solve for m. Add 39.6 to both sides:

[tex]8.8m=39.6[/tex]

Divide both sides by 8.8. So:

[tex]m=4.5[/tex]

So, it will take the diver 4 and a half minutes to reach the surface.

And we're done!

Please help on these questions ASAP!
I will give brainliest

Answers

What’s that can’t see

How many units from zero is -253?

Answers

Answer:

253 units

Step-by-step explanation:

-253 is 253 units behind 0.

are the opposites of -6.5 and the absolute value of -6.5 the same?

Answers

Answer:

Yes

Step-by-step explanation:

the opposite of -6.5 is 6.5.

The absolute value of |-6.5| is 6.5.

Hope this helps.

On New year's Eve the times square ball is lowers 47 ft every 20 seconds how long does it take for the ball to be lower 141 ft

Answers

Answer:

1 minute

Step-by-step explanation:

141/47=3. then 3*20=60 which is equal to one minute

Find the equation of the linear function represented by the table below in slope-
intercept form.
Х
o
1
2
3
4
у
-1
3
7
11
15

Answers

Answer:

1y157

Step-by-step explanation:

PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((

Answers

Answer:

2/9

Step-by-step explanation:

Any fraction in the form 0.n repeated is in the form n/9

Are the triangles below acute obtuse or right (I have to make multiple questions because it won’t let me put them on)

Answers

Answer:

they're both acute im 100% sure

Step-by-step explanation:

If 4 out of 7 armadillos
carry a defective gene,
about how many
armadillos carry the
normal gene in a
population of 843
armadillos? Round to the nearest whole.

Answers

Answer:

About 231 armadillos

Step-by-step explanation:

Step 1:

4 : 7      Ratio

Step 2:

4x + 7x = 843        Equation

Step 3:

11x = 843      Combine Like Terms

Step 4:

x = 843 ÷ 11      Divide

Step 5:

x ≈ 77

Step 6:

77 × 3      Multiply

Answer:

231

Hope This Helps :)

A number multiplied by 7 is less than 21. Which of the following expressions
correctly identifies this sentence? *

Answers

(N instead of X for variable)

N x 7 < 21

5. Write a division number sentence
using 3,9,and 27

Answers

Answer:

27÷3 =9

Step-by-step explanation:

27 divided by 3 is 9

Answer: 3 * 9 = 27,    27 / 3= 9,  27/9 = 3

Step-by-step explanation:

3 being multiplied by 9 will give you 27.

27 divided by 9 will give you 3.

27 divide by 3 will give you 9.

Is 1.35 an irrational number? Why?

Answers

So we can say it's not an integer number or a natural number. The rational number 13/10 is real also, so we can say that 1.3 is a rational number

please help as soon as you can

Answers

Answer:

FOR QUESTION 5

1. Angle 1 congruent to angle 4; given

2. Angle 1 supplementary  to angle 2; assumed from diagram

3. Angle 4 supplementary  to angle 3; assumed from diagram

4. Angle 2 congruent to angle 3; angles supplementary to congruent angles are congruent

5. Angle 3 congruent to angle 5; verticla angles are congruent

6. Angle 2 congruent to angle 5; substitution

FOR QUESTION 6

1. Angle 2 congruent to angle 3; given

2. Angle 2 congruent to angle 1; vertical angles are congruent

3. Angle 3 congruent to angle 4; vertical angles are congruent

4. Angle 1 congruent to angle four; substituiton (see statement #1)

Step-by-step explanation:

Suppose that the walking step lengths of adult males are normally distributed with a mean of 2.6 feet and a standard deviation of 0.2 feet. A sample of 53 men’s step lengths is taken.
Step 1 of 2 : Find the probability that an individual man’s step length is less than 2.4 feet. Round your answer to 4 decimal places, if necessary.

Answers

Answer:

P[ X < 2,4 ]  = 0,1587   or   15,87 %

Step-by-step explanation:

Normal Distribution  N ( 2,6 , 0,2 )

mean = μ₀ = 2,6 ft  and

standard dviation is

σ = 0,2 ft

Samle size 53    n  = 53

2,4 - 2,6 = 0,2

That means the difference between 2,4 and the mean of the sample ( 2,6) is equal to one standar deviation.  The empircal rule establishes that the interval [  μ₀ ± σ]  contans 68,3 % of all values, by symmetry

μ₀ - σ = 68,3/2

μ₀ - σ = 34,15

Then the half of the bell shape curve is 0,5 and  from 0,2 up to 0 ( the normalized μ₀ ) is 34,15 then dfference between

0,5 - 0,3415   =  0,1585  or   15,85% is the probability

Other procedure is:

P[ X < 2,4 ]  = [X  -  μ₀ ] / σ

P[ X < 2,4 ]  = 2,4 - 2,6 / 0,2

P[ X < 2,4 ]  = - 0,2/0,2

P[ X < 2,4 ]  = - 1

And fom z - table we find for z (score) = - 1

P[ X < 2,4 ]  = 0,1587

Answer:

0.0668

Step-by-step explanation:

z=x−μσ=2.3−2.60.2=−1.50

Using the normal distribution tables, we find that the area under the standard normal curve to the left of z=−1.50 is approximately 0.0668. Thus, the probability that an individual man’s step length is less than 2.3 feet is approximately 0.0668.

Question 2 (1 point) What is the equation in slope-intercept form of the line that passes through the point (-4,0) and is perpendicular to the line represented by y=-3x - 1? O a y - () = -(x + 4) Ob y - 0) = (x + 4) y - 4 = -x-0) y + 4 = (x - 0)​

Answers

Step-by-step explanation:

Given parameters:

 Coordinate = (-4, 0)

Equation of the line given; y = -3x - 1

Unknown:

The equation of the line perpendicular to this = ?

Solution:

To find the equation of the line perpendicular to the given line, we need to obtain the value of the slope from this equation first.

  The slope of the perpendicular line will be the negative inverse of the one given;

  Every straight line can be written as;

                               y  = mx + c

Given line;

                               y = -3x - 1

  the slope of this line = -3

A perpendicular line to this line will have a slope of;

                         [tex]\frac{1}{3}[/tex] a negative inverse of (-3)

Now,

       Let us go ahead and find the intercept c;

    y = mx + c

    0 =  [tex]\frac{1}{3}[/tex] x (-4) + c

          c= [tex]\frac{4}{3}[/tex]

insert parameters:

       y =  [tex]\frac{1}{3}[/tex]x +  [tex]\frac{4}{3}[/tex]

Multiply through by 3;

        3y = x + 4

When r = 8 and s = 5, what is the value of r +2s
- 9?

Answers

Answer:

9

Step-by-step explanation:

If we substitute the variables for the numbers, the equation looks like this:

8+2(5)-9

Because 2s was multiplying 2 by s in the original equation, we can do that step first!

8+2(5)-9

8+10-9

Personally, I think it's a lot easier to subtract 9 from 10 first, but you can solve this part in any order.

8+10-9

8+1

This is the last part; we just have to add 8 and 1 now!

8+1=9

Hope this helps!!! Have a wonderful day C:

Kayden bought a pair of jeans that cost $15.95, 10 bracelets for $0.83 each, and 4 shirts for $9.50 each at a store. She has $3.14 left. How much money did she have before buying the items?

Answers

Answer:

$65.39

Step-by-step explanation:

10* $0.83= $8.30

4 * $9.50= $38.00

$15.95 + $8.30 + $38.00 + $3.14 = $65.39

what is the solution to the equation 2/3a-1/6=1/3

Answers

Answer:

a = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

[tex]\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}[/tex]

[tex]\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}[/tex]

(now you can multiply the whole equation by 6 to remove the fractions

4a - 1 = 2

4a = 2+1

4a = 3

a = [tex]\frac{3}{4}[/tex]

Answer:

a=3/4

Step-by-step explanation:

Please help!!! I will make you brainiest!!!!

Answers

Answer:

y > 5.5

Step-by-step explanation:

The answer is C

A quadratic function is one of the form f(x) = ax2 + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola. Parabolas may open upward or downward and vary in "width" or "steepness", but they all have the same basic "U" shape.

Plz give me brainliest

Can you help me solve this problem please? Solve 6n = 2n – 8.

Answers

first move the 2n over to the other side by subtracting it
so
4n=-8
then divide 4n by 4 and do the same to the other side
so
n= -8/4
n= -2

Ann ​'s car can go 222 miles on 6 gallons of gas. During a drive last​ weekend, Ann used 5 gallons of gas. How far did she ​drive? Use pencil and paper. Explain how the problem changes if you were given the distance Ann drove last weekend instead of how much gas she used.

Answers

Answer:

185

Step-by-step explanation:

222/6=37

5*37=185

(7.3B) Last week Mr. Messi ran 2.2 miles on
Monday, 0.8 miles on Tuesday, one and a
quarter miles on Wednesday, one and sixth
tenths miles on Thursday and half a mile on
Friday. How many total miles did Mr. Messi
run last week?
Can some one help mee..

Answers

Answer:

4 11/12 Miles

Step-by-step explanation:

Urgent can someone please help

Answers

Answer:

x = 27 and y = 66.5

Step-by-step explanation:

First, solve for x: since the 2 angles are supplementary, they add up to 180 degrees, leaving us with the equation (5x+1)+(x+17)=180 -> 6x+18=180 -> 6x=162 -> x = 27

After that, since the lines are parallel, 5x+1 degrees = 3y-14 degrees. We already know x, so we can just plug that in and solve for y: 5*27+1 = 3y-14 -> 136 = 3y+14 -> 122 = 3y -> y = 66.5

Therefore, x = 27 and y = 66.5.

On Monday, there were 827 people at the amusement park. On Tuesday, the weather was rainy and only 686 people were at the park. Write an expression to estimate the difference of the number of people at
the park on Monday and Tuesday by rounding each value to the nearest
hundred.

Answers

Answer:

let monday be a = 800 (nearest 100)

let tuesday be b = 700 (nearest 100)

a+b = 800 + 700 = 1500

a+b = 1500

divede decimals by a whole number in this question 2.6÷2​

Answers

Answer:

Step-by-step explanation:

2.6 ÷ 2 = 1.3

1.3

How I solved it:

Just think ‘2.6’ is a whole number, so ignore the decimal for now. Then divide ‘26’ (2.6) by 2. After you divided them, you then want to add the decimal.

SOMEONE HELP ME PLZZZZ

Answers

Answer:

nice

Step-by-step explanation:

How much greater is the product of 98 * 50 than the product of 97 * 50

Answers

Answer:

With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.

Step-by-step explanation:With 98x50 its like there are 98 fiveties. In 97x 50 there are 97 fiveties. There is one more 50 in 98x50.

Answer:

duno

Step-by-step explanation: duno

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