x2 - 15x + 56

factor​

Answers

Answer 1

Answer:

(x - 7)(x - 8)

Step-by-step explanation:

To factorise the quadratic

Consider the factors of the constant term (+ 56) which sum to give the coefficient of the x- term (- 15)

The factors are - 7 and - 8, since

- 7 × - 8 = + 56 and - 7 - 8 = - 15, hence

x² - 15x + 56 = (x - 7)(x - 8)


Related Questions

Positive integer A has 2 different prime factors: p and q (p<q) such that A = pq. Positive integer B is greater than A and the quotient A^2/B is an integer. How many possible values of B are there? PLEASE GIVE AN EXPLANATION WITH YOUR ANSWER! ​

Answers

Answer:

4

Step-by-step explanation:

The integer A^2 will have 9 divisors:

1, p, q, p^2, pq, q^2, p^2q, pq^2, p^2q^2

Of these, the last 4 are greater than A. Hence there will be these 4 values of B.

Answer:

it removed body waste like and instructions

News cameras take an overhead picture of a part of a crowd at an outdoor event. Journalists then count the number of people in the picture and use the sample to estimate the total number of people in the crowd. This process is an example of

Answers

Answer:

cluster system

Step-by-step explanation: For edgunity

This process is an example of cluster system.

The following information should be considered:

A cluster refers to a group of inter-connected computers where it work together for support applications and middleware (e.g. databases). In a cluster, each & every computer is known to be a “node”.

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What’s the value of Y? I’m stuck on this

Answers

Answer:

B 65

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of the opposite interior angles

130 = y+y

130 = 2y

Divide by 2

130/2 = 2y/2

65= y

Identify the linear term in the function of y = 2x2 − 5x − 12

Answers

Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

For his long distance phone service, bill pays a $7 monthly fee plus 7 cents per minute. Last month, bill’s long distance bill was $18.27. For how many minutes was bill billed?

Answers

Answer:

161 minutes

Step-by-step explanation:

$1827-$7=$11.27

$11.27/.07=161

Answer:

161 minutes

Step-by-step explanation:

Bill pays a monthly fee for his long distance phone service = $7.00

and call charges per minute = 7 cents

1 dollar = 100 cents

Therefore 7 cents = [tex]\frac{7}{100}[/tex] = $0.07

Last month, Bill's long distance bill was $18.27.

Let Bill used the phone service for x minutes

The equation for his uses in minutes :

7.00 +(0.07x) = 18.27

0.07x = 18.27 - 7.00

0.07x = 11.27

x = [tex]\frac{11.27}{0.07}[/tex]

x = 161 minutes

Bill was billed for 161 minutes.

1. y = sin? (In x). Find dy
Show your work. en nuov vlomia
A.
sin (In x2)
х
cos? (In x)
c. sin (In x) cos(Inx)
D.
2 sin (In x) cos(In x)
E. None of the above.

Answers

Answer:

dy/dx=  cos(ln(x))/x

Step-by-step explanation:

y=sin(ln(x)) given

We have to use chain rule to differentiate!

Let u=ln(x) then du/dx=1/x

So we have

if y=sin(ln(x)) then y=sin(u) and dy/dx=dy/du * du/dx=cos(u) *1/x

where again u=ln(x) so

dy/dx=cos(ln(x)) *1/x

dy/dx=cos(ln(x))/x

I hope I have the right intepretation because I do see a ? in between sin and (ln(x)) .

Which of the following are solutions to | x+3 = 4x - 7? Check all that apply.

Answers

Answer:

x=​5/​4, ​3/10

Answer:B. x=10/3

Step-by-step explanation:

A P E X

The equation c = 6.5h represents the cost, c, of renting a bicycle for h hours. The table below can be used to show the same information.

Cost for Renting Bicycles
Number of Hours (h)
0
2
4
6
Cost (c)


If Francesca rents a bicycle for 2 hours and Phil rents a bicycle for 6 hours, how much more does Phil pay?

Answers

Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

[tex]c=6.5(2)\\c=13[/tex]

Phil can be represented by the following equation:

[tex]c=6.5(6)\\c=39[/tex]

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.

what would be the values of f(f-1(17)) and f-1(f(2))? FAST HELP

Answers

Answer:

f(f-1(17)) = 17

f-1(f(2)) = 2

Step-by-step explanation:

Lemma;

If f(x) and g(x) are inverses, then the compositions  f(g(x)) = g(f(x)) = x.

In both situations, we are determining the composite of inverse functions;

f and f-1

What is the Celsius temperature that is equal to 94 degrees Fahrenheit using the formula F=9/5 C+32

Answers

Answer:

34.4°C (rounded up to nearest tenth)

Step-by-step explanation:

Given; F = [tex]\frac{9}{5}[/tex]C + 32

94°F = [tex]\frac{9}{5}[/tex]C + 32

[tex]\frac{9}{5}[/tex]C = 94 - 32 = 62

C = [tex]\frac{62 * 5}{9}[/tex] = 34.44444444°C

And is equal to: 34.4°C (rounded up to nearest tenth)

The Celsius temperature equaling 94 degrees Fahrenheit is 34.44°C.

To find the Celsius temperature equivalent to 94 degrees Fahrenheit using the formula F = (9/5)C + 32:

Substitute 94 for F: 94 = (9/5)C + 32

Then solve for C: C = (94 - 32) / (9/5) = 34.44°C

The Celsius temperature equaling 94 degrees Fahrenheit is 34.44°C.

Find the greatest common factor 7x^3a+7x^2a^2

Answers

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

Convert 12 and a half of 30

Answers

Answer:

375

Step-by-step explanation:

12½[30] → 25⁄2[30]

Multiply 25 by 30 [750] then divide by 2 to get 375.

I am joyous to assist you anytime.

Which mathematical property is demonstrated below?
a + b + 7 = 7+ b + a

Answers

Step-by-step explanation:

the demonstrated property is the commutative property

The equation a + b + 7 = 7 + b + a demonstrates the commutative property of addition, which means that the order of addition does not change the sum.

The mathematical property demonstrated by the equation a + b + 7 = 7 + b + a is the commutative property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, swapping the operands does not change the result. As shown in the equation and the principles outlined, whether you add a to b or b to a, the sum remains the same. This is true for the addition of ordinary numbers as well— you get the same result whether you add 2 + 3 or 3 + 2, for example.

the circumference of a circle is 64 cm.find the diameter ,the radius,the length of an arc of 190

Answers

Final answer:

The diameter of the circle is approximately 20.37 cm, the radius is approximately 10.18 cm, and the length of an arc measuring 190 degrees is approximately 33.8 cm.

Explanation:

The subject at hand concerns the properties of a circle, more specifically its circumference, diameter, radius, and arc length.

In this case, we know that the circumference of the circle is 64 cm. The circumference of a circle is calculated by the formula 2πr (where r is the radius), or can also be viewed as πd (where d is the diameter). If we equate 64 = 2πr, we can thus find the radius, r = 64/(2π), resulting in roughly a radius of 10.18 cm. The diameter of the circle is simply twice the radius, hence in this context, it would be roughly 20.37 cm.

The length of an arc is calculated by multiplying the radius by the angle (in radian measure), which is represented as θ = s/r. In this case, the arc length is not given directly but we are given an angle of 190, and this seems to denote 190 degrees. Although it's important to mention that the standard measure for calculating arc length is radians, if we convert 190 degrees into radians, we get about 3.32 rad. Thus the length of this specific arc will be r*θ=10.18*3.32, resulting in an arc length of about 33.8 cm.

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Final answer:

The radius of the circle with a circumference of 64 cm is approximately 10.18 cm, the diameter of the circle is 20.36 cm and the length of an arc of 190 degrees in this circle is approximately 33.78 cm.

Explanation:

The given circumference is 64 cm. In a circle, the circumference is given by the formula 2πr = Circumference, where r is the radius and π is a constant approximately equal to 3.14. We can rearrange this formula to find the radius: r = Circumference / 2π. Substituting the given value of the circumference, we have r = 64 cm / 2π ≈ 10.18 cm. This is the radius of the circle.

The diameter of a circle is twice the radius, hence the diameter of the circle is 2 * 10.18 cm = 20.36 cm.

Now, to find the length of an arc of 190 degrees in this circle, we first understand that the total angle in a circle is 360 degrees. Hence, the length of the arc corresponding to 190 degrees will be the ratio of 190 to 360 times the circumference. Therefore, arc length = (190/360) * 64 cm ≈ 33.78 cm.

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If f(x) = 2x-1 + 3 and g(x) = 5x-9, what is (f-g)(x)?

Answers

Answer:

-3x+11

Step-by-step explanation:

f(x) = 2x-1 + 3 =2x+2

g(x) = 5x-9

(f-g)(x)=  2x+2 - (5x-9)

Distribute the minus sign

         = 2x+2 - 5x +9

Combine like terms

        = -3x+11

What is the solution to the equation

Answers

Answer:

The solution of given equation 5(x - 6) = 2(x + 3) is given by,

x = 12

Step-by-step explanation:

It is given that,

5(x - 6) = 2(x + 3)

To find the solution of given equation

5(x - 6) = 2(x + 3)

5x - (5 * 6) = 2x + (2 * 3)

5x - 30 = 2x + 6

5x - 2x = 6 + 30

3x = 36

x = 36/3

x = 12

Therefore the solution of  given equation is,

x = 12

Kelly shares 3 candy bars equally between her 5 friends. What fraction of a candy bar does each friend receive?

A- three fifths candy bar
B- one third candy bar
C- five thirds candy bar
D- one fifth candy bar

Answers

Answer:

three fifths candy bar

Step-by-step explanation:

3/1 ÷ 5/1

3/1 × 1/5 = 3/5

Answer:

3 fiths of a candy bar

Step-by-step explanation:

what is 7x-7=4x+14 equal

Answers

7x -7 = 4x + 14

7x = 4x + 21

3x = 21

X= 7

Hope this helps!

Which equation represents a line that passes through (–9, –3) and has a slope of –6?

Answers

Answer:

y + 3 = -6(x + 9) - point-slope formy = -6x - 57 - slope-intercept form

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

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

We have the slope m = -6 and the point (-9, -3).

Substitute:

[tex]y-(-3)=-6(x-(-9))\\\\y+3=-6(x+9)[/tex]

Convert to the slope-intercept form (y = mx + b):

[tex]y+3=-6(x+9)[/tex]           use the distributive property

[tex]y+3=-6x-54[/tex]         subtract 3 from both sides

[tex]y=-6x-57[/tex]

find the slope of the line that contains the following points. r(-2, 4), s(6, -2)

Answers

Finding the slope using two points:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =-2\\y_{1} =4\\x_{2} =6\\x_{1} =-2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{-2 - 4}{6 - (-2)}[/tex]

[tex]\frac{-6}{8}[/tex]

^^^Can be further simplified to...

[tex]\frac{-3}{4}[/tex]

^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

[tex]{\displaystage\boxed{\frac{-3}{4}}[/tex]

Step-by-step explanation:

Slope formula:

     ↓

[tex]\displaystyle\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystage y_2=(-2)\\\displaystage y_1=4\\\displaystage x_2=6\\\displaystage x_1=(-2)\\[/tex]

[tex]\displaystage \frac{-2-4}{6-(-2)}=\frac{-6}{8}=\frac{-6\div2}{8\div2}=\frac{-3}{4}[/tex]

-3/4 is the correct answer.

I hope this helps you, and have a wonderful day!

whats the exanded expression for -7(k-3)

Answers

Answer:

-7k+21

Step-by-step explanation:

Distributive Property:

    ↓

[tex]A(B+C)=AB+AC[/tex]

A=-7, B=K, and C=3

-7k+7*3

Multiply by the numbers from left to right to find the answer.

7*3=21

-7k+21 is the correct answer.

Substitute w=1 and w=3 to determine if the two expressions are equivalent. 4(3w+4) 16w+12 Which statements are true? Check all that apply.
A: The value of both expressions when w=1 is 28.
B: The two expressions are equivalent.
C: The value of both expressions when w=1 is 16.
D: The two expressions are not equivalent.
E: The value of both expressions when w=3 is 52.
F: The value of both expressions when w=3 is 60.

Answers

Answer:

A: The value of both expressions when w=1 is 28.

D: The two expressions are not equivalent.

Step-by-step explanation:

Given expressions are:

4(3w+4)

and

16w+12

For w=1

First Expression:

4(3w+4)

= 4[3(1)+4]

=4(3+4)

=4(7)

=28

Second expression:

16w+12

= 16(1)+12

=16+12

=28

For w=3

First Expression:

4(3w+4)

= 4[3(3)+4]

=4(9+4)

=4(13)

=52

Second expression:

16w+12

= 16(3)+12

=48+12

=60

Now looking at the statements:

A: The value of both expressions when w=1 is 28.

The statement is true because our calculated values of both expressions are 28 for w=1.

B: The two expressions are equivalent.

The two expressions are not equivalent because their values at w=3 are not same.

C: The value of both expressions when w=1 is 16.

The value of both expression when w=1 is 28 so this statement is not correct

D: The two expressions are not equivalent.

We can see by comparing the values that both expressions are not equivalent.

E: The value of both expressions when w=3 is 52.

F: The value of both expressions when w=3 is 60.

Both statements are false because both expressions have different values at w=3 ..

A. The value of both expressions when w=1 is 28. D. The two expressions are not equivalent. Statements A and D are true.

To determine if the two expressions are equivalent, we need to substitute w=1 and w=3 into both expressions. The first expression is 4(3w+4) and the second expression is 16w+12.

Step-by-step:

Substitute w=1:For 4(3w+4): 4(3(1)+4) = 4(3+4) = 4*7 = 28For 16w+12: 16(1)+12 = 16+12 = 28Substitute w=3:For 4(3w+4): 4(3(3)+4) = 4(9+4) = 4*13 = 52For 16w+12: 16(3)+12 = 48+12 = 60

Based on these calculations:

A: The value of both expressions when w=1 is 28. (True)B: The two expressions are equivalent. (False, they are only equal at w=1)C: The value of both expressions when w=1 is 16. (False)D: The two expressions are not equivalent. (True, they give different values for w=3)E: The value of both expressions when w=3 is 52. (True for first expression, false for second)F: The value of both expressions when w=3 is 60. (True for second expression, false for first)

PLEASE HELP ME ASP! Brainlist and 25 points!

Answers

Answer:

Answer is in the explanation

Step-by-step explanation:

I don't know exactly word from word what your choices look like...

but I can describe per each box what happened in my own words:

First box:  They multiply first equation by 3 and the second equation by 2 to obtain the equations in that first box.

Second box: They subtracted the two equations in the first box to obtain 1x+0y=2 which means 1x=2 or x=2 (this is called solving a system by elimination

Third box: They used their first original equation (before the multiplication manipulation) and plug in the value they got for x which was 2 giving them 3(2)-2y=10

Fourth box: They simplified the equation 3(2)-2y=10 by performing the multiplication 3(2) giving them 6-2y=10

Fifth box:  They subtracted 6 on both sides giving them -2y=4

Sixth box:  They divided both sides by -2 giving them y=-2

I will summarize then what I wrote above:

1st box: Multiplication Property of Equality

2nd box: Elimination

3rd box: Substitution (plug in)

4th box: Simplifying

5th box:  Subtraction Property of Equality

6th box: Division Property of Equality

Using the figure below, select the two pairs of alternate interior angles.
A:point 1 and point 4
B :point 2 and point 3
C:point 6 and point 6
D:point 5 and point 7​

Answers

Answer:

B :point 2 and point 3

Step-by-step explanation:

The only interior angles are 6, 2, 3, and 7

The angles equal to each other are 6 and 7 or 2 and 3

6 and 7 is not an option so 2 and 3 are the correct answer.

B is the answer since 2,3,6,7 are interior angles. The opposite of each other create alternate interior angles

Since 2 and 3 is the opposite of each other the answer is B. Hope this helps!

A dilation maps (4, 6) to (2, 3). Under the same dilation, (-1,3) would be mapped to

Answers

Answer:

(-1/2,3/2)

Step-by-step explanation:

The rule for dilation about (0,0) by a scale factor is given as:

(x,y)----------(kx,ky)

So if (4,6) was mapped to (2,3) by dilation it means;

x=4

kx=2

k=2/4 =1/2

Hence in this case, the dilation rule is ;

(x,y)---------(1/2x ,1/2y)

For (-1,3) ---------(1/2*-1, 1/2*3)

                         (-1/2, 3/2)

Answer:

[tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Step-by-step explanation:

Since, the rule of dilation about origin by the scale factor k is,

[tex](x,y)\rightarrow (kx,ky)[/tex]

Given,

The dilation maps (4, 6) to (2, 3).

Let k be the scale factor for this dilation,

⇒ 4k = 2 ⇒ k = [tex]\frac{2}{4}=\frac{1}{2}[/tex],

Thus, under the dilation rule would be,

[tex](x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)[/tex]

Hence, (-1,3) would be mapped to [tex](-\frac{1}{2}, \frac{3}{2})[/tex].

36
Which expression is equivalent to (h2 + 9h - 1)(-4h + 3)?
F -413 - 33h2 +31h - 3
G463 + 39h2 – 23h - 3
H -463 – 39h2 + 23h + 3
j
4h3 + 33h2 – 31h + 3

Answers

Answer:

I THINK IT IS THE SECOND ANSWER

Step-by-step explanation:

Answer:

it is -413 - 33h2 +31h - 3

F is the answer I did the math

What makes a trapezoid an isosceles trapezoid?
A. Its legs are congruent.
B. its bases are congruent
C. Its opposite angles are congruent.
D. Its diagonals bisect each other

Answers

B. It’s bases are congruent

Explanation: A trapezoid is a quadrilateral with exactly one pair of parallel sides. In a trapezoid the parallel sides are called bases. A pair of angles that share a base as a common side are called a pair of base angles. A trapezoid with the two non-parallel sides the same length is called an isosceles trapezoid.

Answer:

  A.  Its legs are congruent.

Step-by-step explanation:

It is a parallelogram if ...

the bases are congruent,opposite angles are congruent, orthe diagonals bisect each other.

4. Simplify the following expression: (2/5+4/3)/(3/5)
A. 3/14
B. 75/131
C. 26/9
D. 11/144​

Answers

it’s C because 2/5+4/3= 26/15 then divide it by 3/5 and you get 26/9

Answer: [tex]\bold{C.\quad \dfrac{26}{9}}}[/tex]

Step-by-step explanation:

[tex]\bigg(\dfrac{2}{5}+\dfrac{4}{3}\bigg)\div\dfrac{3}{5}\\\\\\\text{According to PEMDAS, the parenthesis must be performed first.}\\\\\bigg[\dfrac{2}{5}\bigg(\dfrac{3}{3}\bigg)+\dfrac{4}{3}\bigg(\dfrac{5}{5}\bigg)\bigg]\div\dfrac{3}{5}\\\\\\\bigg(\dfrac{6}{15}+\dfrac{20}{15}\bigg)\div\dfrac{3}{5}\\\\\\\dfrac{26}{15}\div\dfrac{3}{5}\\\\\\\text{Dividing by a fraction is multiplying by its reciprocal.}\\\dfrac{26}{15}\times\dfrac{5}{3}\\\\\\\text{Simplify.}\\\dfrac{26}{3}\times\dfrac{1}{3}[/tex]

[tex]=\large\boxed{\dfrac{26}{9}}[/tex]

It’s Choose More than one answer Just to let you know ..and can someone please help ..please

Answers

Answer:

Step-by-step explanation:

Answer x = 0

1 < 0 and 13<0

The answer is 2

Since 0 can’t be the answe because 0 is less than 1 not greater than 1

14 is greater than 13 so the answer is 2

What value of X is in the solution set of 2(3x-1)>4x-6

Answers

Answer:

negative 1

2(3x-1)>4x-6

Answer:

Step-by-step explanation:

-1

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