Which of the following is equivalent to x3−5x2−26x+120?
A x+4)(x2−6x+30)
B (x+3)(x2−8x+40)
C (x+6)(x2−4x+20)
D (x+5)(x2−10x+24)
Please help!

Answer: The equations are 5t + e = 725 and 3t + e = 505

Step-by-step explanation: We shall start by assigning letters to the unknown variables, hence we shall call the treadmill t, and we shall call the elliptical machine e.

If on Saturday, she ran 5 miles on the treadmill and 1 mile on the elliptical machine and she burned 725 calories in the process, we can express this as

5t + e = 725 ------(1)

Also on Sunday, she ran 3 miles on the treadmill and 1 mile on the elliptical machine and burned 505 calories in the process, that too can be expressed as

3t + e = 505 ------(2)

We now have a pair of simultaneous equations which an be solved by the elimination method (reason being that on of the unknowns have the same coefficient, that is variable e).

Subtract equation (2) from equation (1) and you arrive at;

2t = 220

Divide both sides of the equation by 2

t = 110

Having calculated the value of t, substitute for the value of t into equation (1)

5t + e = 725

5(110) + e = 725

550 + e = 725

Subtract 550 from both sides of the equation

e = 175

The above calculations shows that the calories burned on each gym equipment are;

Treadmill = 110 per hour

Elliptical = 175 per hour

Answer:

70,000,000,000,000,000,000,000

Step-by-step explanation:

Answer:

The answer is -3/10

Step-by-step explanation:

Answer:

-0.3 or -[tex]\frac{3}{10}[/tex]

Step-by-step explanation:

Separate the squares making it:

[tex]-\frac{\sqrt{9} }{\sqrt{100}}[/tex]

Square root them:

[tex]\frac{3}{10}[/tex]

Don't forget the negative

[tex]-\frac{3}{10}[/tex]

Answer: I need to know the number for the slope. I know the y-intercept, which is b, but I need to know m (the slope) I can give you y = mx+6.

Step-by-step explanation:

Answer:

y=

Step-by-step explanation:

16²=256 sooo....

12y^2=256

6y*6y=256

find what y equals

Answer:

B

Step-by-step explanation:

E2021

Answer:

59 is an outlier in the numbers, which increased the average of the toys.

Answer:

∠SRP and ∠QRP

∠TUR and ∠VUR

Step-by-step explanation:

Adjacent angles are angles that share a common side and have the same vertex. Here you need to see if each pair share a side and start at the same point.

∠SRP and ∠QRP: These are adjacent because they share the same vertex and side

∠TUR and ∠VUR: These are adjacent because they share the same vertex and side

∠QRP and ∠VUW: These are not adjacent because they do not share the vertex, only share a common side

∠TUR and ∠SRU: These are not adjacent because they do not share the vertex, only share a common side

Answer:

(4, 0) and (6, 0)

Step-by-step explanation:

The function that we have is:

[tex]g(x)=x^2-10x+24[/tex]

This is the function of a parabola.

to find the points where the function crosses the x-axis, we need to find the values of x for which g(x) (which is the value of the y-axis) is equal to zero.

so we need [tex]g(x)=0[/tex] for the function to be crossing the x-axis.

Thus our equation becomes:

[tex]x^2-10x+24=0[/tex]

and we can solve this equation with the quadratic formula or by factoring.

I will sove by factoring:

To factor this type of equations we need to find 2 number that satisfy the following:

In this case those 2 number are: -6 and -4 because:

(-6)(-4)=+24

-6 - 4 = -10

Thus we arrange our factored equation as follows:

from [tex]x^2-10x+24=0[/tex] through factoring we get:

[tex](x-6)(x-4)=0[/tex]

and because of the zero factor property (if two things when multiplied result in zero one of them or both must be zero), thus our x values are:

[tex]x-6=0\\x=6\\[/tex]

and

[tex]x-4=0\\x=4[/tex]

thus, our points are those with and y coordinate of 0 and an x coordinate of 6 and 4:

(4,0) and (6,0)

Answer:

D. 31

Step-by-step explanation:

To find the mean of any group of numbers, you simply add up all the numbers and then divide by how many numbers there are.

Using a calculator or a pencil, add the following:

27 + 28 + 30 +28 + 28 + 31 + 29 + 33 + 28 + 28 + 31 + 33 + 41 + 41 + 25

= 461

The last step is to divide 461 by 15:

461/15 = 30.73

Round 30.73 to the nearest whole number and you get D. 31

Answer:

the answer is c

Step-by-step explanation:

Answer : The percentage error will be, 45.5 %

Step-by-step explanation :

To calculate the percentage error, we use the equation:

[tex]\%\text{ error}=\frac{|\text{Experimental value - Accepted value}|}{\text{Accepted value}}\times 100[/tex]

We are given:

Experimental value = 16 inches

Accepted value = 11 inches

Now put all the given values in above equation, we get:

[tex]\%\text{ error}=\frac{|16-11|}{11}\times 100\\\\\%\text{ error}=45.5\%[/tex]

Hence, the percentage error will be, 45.5 %

Board:

Width = 3 feet = 3*12 = 36 inches

Height = 1 foot = 1*12 = 12 inches

36 in (board width) / 2 in (posit width) = 18

12 in (board height) / 2 in (posit height) = 6

Area = base * height

Area = 18 post-its wide * 6 post-its height = 108 post-its

Answer:16

Step-by-step explanation:I think

Answer: 3/52

Step-by-step explanation: There are 3 face diamonds in a deck of 52 cards making it a 3/52 chance of pulling one.

Answer: 0.25 or 25%

Step-by-step explanation:

you have to do 3 (the number of diamond face cards) divided by 12 (the total number of face cards) which is 0.25

Step-by-step explanation:

Given data,

Test scores =60, 65, 70, 75, 80, 80, 85, 85, 90, 95, 100

    Mean= (60+65+70+75+80+80+80+85+85+90+95+100)/11

             = 885/11

             = 80.45

   Median= 80

Answer: The answer is : 5 ( 2 x^ 2 + 3 x − 1 )     (Friend me )

Step-by-step explanation: You know that 5 can go into 10, 5, and 15 evenly. Therefore, 5 must be the GCF. So, you factor five and basically rewrite the equation to fit the number 5.

Answer:

Range

Step-by-step explanation:

The range of a graph tells you all of the possible y-values for it.

There is also the domain, which tells you all of the possible x-values.

For example, if you have this relation, that only has these points:

(1, 2) (2, 4) (3, 6)

Then the range is {2, 4, 6}. This means the "y" can ONLY be the numbers stated here.

The domain would be {1, 2, 3}.

Answer:

Step-by-step explanation:

0.34 x 100 / 100

= 34 / 100

Reduce the fraction:

34/100 by 2

2 x 17 = 34

2 x 100 = 50

= 17/50

^ These are the lowest terms.

Answer:

17/50

Step-by-step explanation:

First, write as a fraction :

34/100 since it is thirty-four hundredths

then, simplify by finding GCD(greatest common divisor):

34 divided by 2=17; 100 divided by 2=50 so the fraction becomes:

17/50 in simplest form.

Answer:

4. B 5. C

Step-by-step explanation:

Answer:

B; C

Step-by-step explanation:

The data contains 10 separate values.The only plot with 10 "x"s is the 2nd one, therefore the answer is B.

The only stem-and-leaf plots in the proper format are the last 2. The only one containing "89" as a value is the 3rd one (It was one of the values in the data set). Therefore, it is C.

The heaviest bag has (1 + 1/8) lb more than the lightest bag.

By looking at the histogram, we can see that the heaviest bag weighs:

M = (5 + 1/2) lb

The lightest bag weighs:

m = (4 + 3/8) lb

Now we need to take the difference between these masses:

M - m =  (5 + 1/2) lb -  (4 + 3/8) lb = (5 - 4) lb + (1/2 - 3/8) lb

M - m = 1 lb + (4/8 - 3/8)lb = (1 + 1/8)lb

This means that the heaviest bag has (1 + 1/8) lb more than the lightest bag.

If you want to learn more about mass:

https://brainly.com/question/11408596

#SPJ2

Answer:

f^-1(x)= 9x+117

Step-by-step explanation:

hello :

let f(x) = y  so : y = 1/9 x-13

calculate : x       you have : 1/9x= y+13  so : x= 9(y+13)=9y+117

If f(x)=1/9x-13, then f^-1(x)= 9x+117

Probability of a the number will less than 4 is  [tex]\frac{1}{2}[/tex].

Step-by-step explanation:

Given,

A die will be rolling.

To find the probability of a the number will less than 4.

Formula

Probability of an event = Number of possible outcomes ÷ Total number of outcomes

Here,

Less than 4 means =1,2,3 = 3 times

Total number of outcomes = 6

Hence,

Probability of a the number will less than 4 = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

Answer:

-144 = 18

Step-by-step explanation:

1). 24xy = 6y

  x = -2; y = 3

  24(-2)(3) = 6(3)

   -144 = 18

Answer:

His family ate 8 sugar cookies.

16 sugar cookies are left.

Step-by-step explanation:

Answer:

5/6th

Step-by-step explanation:

Answer:

4x(2x+3)(2x−3)

Step-by-step explanation:

Factor 16x3−36x

16x3−36x

=4x(2x+3)(2x−3)

Look at the attached picture ⤴⤴

Hope this will help u...

Answer: 109/10

Step-by-step explanation:

1. Find the GCD (or HCF) of numerator and denominator

GCD of 109 and 10 is 1

2. Divide both the numerator and denominator by the GCD

109 ÷ 1

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

10 ÷ 1

3. Reduced fraction:  

109

-----------

10

Therefore, 109/10 simplified is 109/10

To make 1 spring, 1.5 inches of steel wire are needed.

To find out how many inches of steel wire are needed to make 1 spring, we can set up a proportion. We know that the worker uses 450 inches of steel wire to make 300 springs. Let x represent the number of inches of steel wire needed to make 1 spring. The proportion would be:

450 inches/300 springs = x inches/1 spring

To solve for x, we can cross multiply:

450 * 1 = 300 * x

450 = 300x

Dividing both sides by 300, we get:

x = 450/300 = 1.5 inches

Therefore, 1.5 inches of steel wire are needed to make 1 spring.

Answer:

The answer is 10

Step-by-step explanation:

Equation to find the hypotenuse (c) is [tex]\sqrt{a^{2} +b^{2} }[/tex]

[tex]5^{2}[/tex] x [tex]2^{2}[/tex] = 100 (which is your [tex]c^{2}[/tex])

[tex]\sqrt{100}[/tex] = 10