Multiply (2a-5)(4a-7) Simplify your answer

Answers

Answer 1

[tex](2a - 5)(4a - 7)[/tex]

[tex]2a(4a - 7) - 5(4a - 7)[/tex]

[tex]8 {a}^{2} - 14a - 20a + 35[/tex]

[tex]8 {a}^{2} - 34a + 35[/tex]

Answer 2

Step-by-step explanation:

( 2a - 5 ) ( 4a - 7 )

2a ( 4a - 7) - 5 ( 4a - 7 )

8a² - 14a - 20a + 35

8a² -34a + 35


Related Questions

A 45° angle is complementary to angle x. Which of the following equations represents this situation?​

Answers

Step-by-step explanation:

A 45° angle is complementary to angle

45°+=90°

I hope it helped U

stay safe stay happy

28) Find the circumference of a circle with a diameter of 2.5 inches. (it = 3.14)

Answers

Answer: Circumference = 7.85 inches

Concept:

Here, we need to know the idea of circumference.

The circumference is the perimeter of a circle. The perimeter is the curve length around any closed figure.

Circumference = 2πr

r = radius

π = constant

Solve:

Given information

r = (1/2) d = (1/2) (2.5) = 1.25 inches

π = 3.14

Given formula

Circumference = 2πr

Substitute values into the formula

Circumference = 2 · (3.14) · (1.25)

Simplify by multiplication

Circumference = (2.5) · (2.14)

Circumference = [tex]\boxed {7.85 inches}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Step-by-step explanation:

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·2.5≈7.85398in

How do I do this, is the equation 40=ksqrt(65)?

Answers

Answer:

Step-by-step explanation:

Start a little more generally. Carefully find k

distance = k * speed ^2      

112 = k*40^2

112 = k * 1600                     Divide by 1600

112/1600 = k

k = 0.07

Now do the question you are asked to do.

distance = k * speed^2

distance = 0.07 * 65^2

distance = 295.75

Now having done that, you can set up a proportion.

d1 / d2 = k speed1^2/kspeed2^2      Cancel the ks

112/d2 = 40^2 / 65^2                         Cross multiply

112 * 65^2 = 40^2 * d2                      Divide by 40^2

112 * 65^2/40^2 = d2                        Expand the squares

112 * 4225 / 1600 = d2

295.75 = d2    

The second way is shorter, but I suggest the long way until you get comfortable with it.

Adnan earns $48,000 per year. His employer offers him a 4 % raise if he stays with the company What would his new salary be ?

A. 49,929
B. 1,920
C.46,080
D. 192,000

Answers

Answer:

A. 49,920

Step-by-step explanation:

Multiply the beginning value by 1 plus the percentage in decimal form.

A is the answer hope this helps

Find any domain restrictions on the given rational equation x/x+4 + 12/x^2+5x+4 = 8x/5x-15

Answers

Answer:

x ≠ -4, -1, 3

Step-by-step explanation:

12/(x^2+5x+4) = 8x/(5x-15)

12/((x+1)(x+4)) = 8x/(5(x-3))

division by zero is undefined

There are 3 answers to your question. x= -1 x= 3 x= -4

Can someone help me with an idea please? I need something like this for math and science week but i think my idea is really lame. It has to be a photograph and it can be physics, chemistry or math! Pls lmk your ideas cuz im running out of them

Answers

Answer:

take a light bulb and a potato and some wires connect together will give light

Answer:

i have attached a pic of an idea that might help you

:)

help plsss . 10 points !

Answers

Your answer should be C :-)

Answer:

B

Step-by-step explanation:

(7×2)⁶

when we put a number to the power of something, we need to include the whole number. bit just a part of it.

so, it must be 7⁶×2⁶

just think about the simple example 6², which we could write as (2×3)².

would it be sufficient to e.g. square only one of the factors ?

6² = 36

but e.g. 2×3² = 18. so, that's really not it.

or add the two factors and then square them ?

2+3 = 5. 5² = 25. so, that's not it either.

or multiply the exponent in ?

2×3×2 = 12. so that's not it either.

no, it truly is you need to do the operation to all parts.

2²×3² = 4×9 = 36. yes, that fits.

therefore, B is the right answer.

Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?​

Answers

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

Find the midpoint of the line segment with the given endpoints.
(-1, 5), (6,6)
A) (-3.5, -0.5)
C) (13,7)
B) (2.5, 5.5)
D) (2,6)




Answers

The answer should be (2,5) (11,2)

Suppose a right triangle has a
hypotenuse length of 12. If one of
the legs has length 5, what would
the length of the last leg be?

Answers

Answer:

See the last two lines below. I don't know which one you want.

Step-by-step explanation:

hypotenuse = 12

One leg        = 5

other leg =      x            Substitute into a^2 + b^2 = c^2

x ^2 + 5^2 = 12^2

x^2 + 25 = 144              Subtract 25 from both sides

x^2 = 144 - 25              Combine

x^2 = 119                      Take the square root of both sides

x = sqrt(119)

x = 10.91

The product of 2 more than 5 times a number and 4 less than three times a number

Answers

Sorry I'm not sure if I'm right just my thinking...

set the number to be x so that (5x+2)(3x-4)??

Solve equation by completing the square.

Answers

Answer:

x=3 and x=5

Step-by-step explanation:

x2−8x+15=0

To solve the equation, factor x2−8x+15 using formula x2+(a+b)x+ab=(x+a)(x+b). To find a and b, set up a system to be solved.

a+b=−8ab=15

Since ab is positive, a and b have the same sign. Since a+b is negative, a and b are both negative. List all such integer pairs that give product 15.

−1,−15−3,−5

Calculate the sum for each pair.

−1−15=−16−3−5=−8

The solution is the pair that gives sum −8.

a=−5b=−3

Rewrite factored expression (x+a)(x+b) using the obtained values.

(x−5)(x−3)

To find equation solutions, solve x−5=0 and x−3=0.

x=5x=3

hope it helps :)

Solve for w.
|5w + 7) = |5w + 8)

please help :)

Answers

Answer:

w=3/2

Step-by-step explanation:

[tex]|5w+7|=|5w+8|\\5w + 7 =\pm (5w+8)\\5w + 7 = 5w + 8 \text{ or } 5w + 7 = -5w-8\\7 = 8 (\text{abusrd}) \text{ or } 10 w =15\\w= 15/10 = 3/2.[/tex]

12.5 x 0.8

(without rounding and pls help me)

Answers

125* 8 = 1000
So answer
12.5* 0.8 = 10

Answer:

That’s simple 10

Step-by-step explanation

Let me know if I’m correct

hope this helps

-1 and 3 tenths plus 4 tenths

Answers

The answer you are looking for is -9/10, or -0.9.

Solution:

-1 3/10+4/10

-13/10+4/10

-9/10, or -0.9

Answer:

-0.9

Step-by-step explanation:

One airline carried 3,720 people on 31 flights between Portland and Los Angeles. If there were the same number on each flight, how many people were on each flight?
Please help ASAP!

Answers

Divide total people by total flights:

3720/31 = 120

There was 120 people on each flight

Given directed line segment JL below, find the coordinates of K such
that the ratio of JK to JL is 7:8. Plot point K.

Answers

The coordinate of JK is (-1.7, -0.3)

The coordinate of the points that divides the line segment in the given ratio is calculated as:

[tex](x, y) = (\frac{ax_1 +bx_2}{a+b} , \frac{ay_1 +by_2}{a + b} )[/tex]

where;

a:b = 7:8

From the image;

(x₁, y₁) = (-6, 5) and,

(x₂, y₂) = (2, -5)

Substitute the given points in the equation above to calculate the coordinates of JK.

[tex](x, y) = (\frac{7(-6)+8(2)}{7+8} , \frac{7(5) +8(-5)}{7+8} )\\\\(x, y) = (\frac{-26}{15} , \frac{-5}{15} )\\\\(x,y) = (-1.7, -0.3)[/tex]

Thus, the coordinate of JK = (-1.7, -0.3)

Check the image uploaded for the plot of point K

Learn more here:https://brainly.com/question/12547932

Point V is on line segment UW. Given VW = 5x - 4, UV = 2x, and UW = 5x, determine the numerical length of VW

Answers

Answer:

VW = 6

Step-by-step explanation:

To find x, set up the following equation:

(5x - 4) + (2x) = 5x

Solve out left side

7x - 4 = 5x

Subtract 5x from both sides

2x - 4 = 0

Add 4 to both sides

2x = 4

Divide both sides by 2

x = 2

Plug into 5x - 4

5(2) - 4

10 - 4

6

Answer:

6

Step-by-step explanation:

5x - 4 + 2x = 5x

7x - 4 = 5x

-4 = -2x

2 = x

5(2) - 4

10 - 4

6

cho hàm số y= x^{3} +3x^{2} -1 .viết phương trình tiếp tuyến tại điểm có hoành độ bằng -1

Answers

hope you do not mind expressing this on in English ‍♂️

Identify the equation of the circle that has its center at (9, 12) and passes through the origin.

Answers

Answer:  [tex](x-9)^2 + (y-12)^2 = 225\\\\[/tex]

This is the same as writing (x-9)^2 + (x-12)^2 = 225

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

Explanation:

Any circle equation fits the template of [tex](x-h)^2 + (y-k)^2 = r^2\\\\[/tex]

The center is (9,12) which tells us the values of h and k in that exact order.

h = 9

k = 12

To find the radius r, we need to find the distance from the center (9,12) to a point on the circle. The only point we know on the circle is the origin (0,0).

Apply the distance formula to find the distance from (9,12) to (0,0)

[tex]d = \sqrt{ (x_1-x_2)^2+(y_1-y_2)^2}\\\\d = \sqrt{ (9-0)^2+(12-0)^2}\\\\d = \sqrt{ (9)^2+(12)^2}\\\\d = \sqrt{ 81+144}\\\\d = \sqrt{ 225}\\\\d = 15\\\\[/tex]

The distance from (9,12) to (0,0) is 15 units. Therefore, r = 15

An alternative to finding this r value is to apply the pythagorean theorem. The distance formula is effectively a modified version of the pythagorean theorem.

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

Since h = 9, k = 12 and r = 15, we can then say:

[tex](x-h)^2 + (y-k)^2 = r^2\\\\(x-9)^2 + (y-12)^2 = 15^2\\\\(x-9)^2 + (y-12)^2 = 225\\\\[/tex]

which is the equation of this circle.

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Consider the set A with n(A) = 20.  How many subsets could be formed from this set?​

Answers

Answer:

There are [tex]2^{20}[/tex] subsets of [tex]A[/tex]

Step-by-step explanation:

Using the formula for the number of subsets of a given (finite) set, the number of subsets of [tex]A[/tex] is

[tex]2^{n(A)}=2^{20}[/tex]

A sofa is on sale for $442, which is 85% of the regular price.

Answers

You probably want to know how much is the regular price:
X*0.85 =442$ /0.85
X = 442$/0.85
X = 520$
Regular price is:520$

[tex]\frac{442}{x} = \frac{85}{100} \\85x = 44200\\x = \frac{44200}{85} = 520[/tex]

Original price is 520

I NEED HELP ON THIS!!!

Look at the triangle below.

Which equation is equivalent to the law of cosines?


A

a2=c2−2cx+h2


B

a2=c2−2cx+x2+h2


C

a2=c−x2+h2


D

a2=c2−x2+h2

Answers

Answer:

I believe the answer is B. a^2 = c^2 - 2cx + x^2 + h^2

Step-by-step explanation:

The law of cosines states: c^2 = a^2 + b^2 - 2bc * cos(C). If we plug in the values from the diagram, we'll have (c-x)^2 = a^2 + h^2 -2ah * cos(90)

cos(90) = 0, so now we have just (c-x)^2 = a^2 + h^2

Let's expand this to c^2 -2cx + x^2 = a^2 + h^2

Isolate a^2 and we now have a^2 = c^2 -2cx + x^2 + h^2

pls vote me brainliest if i was able to help you!! <3

x ^ 2 − 17x − 60

Which expression is equivalent to the expression above?

(Please explain in simple terms cause, it's usually hard for me to understand)

Answers

[tex] {x}^{2} - 17x - 60 \\ (x + 3)(x - 20)[/tex]

First we put parentheses and in each bracket we put (X) and then we put the signs x² is positive and the 17X before it is a negative q is positive with negative —> negative, and negative before 17X and negative before the 60 —> positive. And then the number that does not have (x) where did it come from, for example 60 came from 20 x 3 or 30 x 2...etc. We can verify this by multiplying the parentheses together and the same number comes out .

Or it can be checked by multiplying the first bracket 3 with x from the second parenthesis comes out 3X and negative 20 from the second parenthesis with X from the first parenthesis and subtract 3X from –20xcomes out –17X .

I hope I helped you^_^

Find the length of the third side. If necessary, round to the nearest tenth.

Answers

Answer:

a = 6

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2+b^2 = c^2  where a and b are the legs and c is the hypotenuse

a^2 + 8^2 = 10 ^2

a^2 +64 = 100

a^2 = 100 -64

a^2 = 36

Take the square root of each side

sqrt(a^2) = sqrt(36)

a = 6

ANSWER FAST 50 POINTS PLEASE !!!
Identify the property that justifies each step asked about in the answer area below.
Line 1: (9+x)x
Line 2: x(9+x)
Line 3: x(x+9)

Answers

Line 1-Line 2-Associative property .

Line 2-Line 3- Distributive property

Solution:-

[tex]\\ \rm\longmapsto (9+x)x[/tex]

[tex]\\ \rm\longmapsto x(x+9)[/tex]

[tex]\\ \rm\longmapsto x(9+x)[/tex]

[tex]\\ \rm\longmapsto x^2+9[/tex]

The arithmetic mean of ten numbers is 36. if one of the numbers is 18,What is the mean of the other nine?

Answers

My answer is in the picture

create 5 problems using all operations that has a solution of 5​

Answers

Answer:

((5*5) + (10-5) * (50/100)) ÷ 3 = 5

((4*4)+(17-8 *(1.378/2)) ÷ 3.445 = 5

Step-by-step explanation:

2. Which type of variation is represented by the following equation?

Answers

indirect variation

Verification

[tex]\\ \rm\Rrightarrow s\propto \dfrac{1}{y}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{s_1}{t_2}=\dfrac{s_2}{t_1}[/tex]

[tex]\\ \rm\Rrightarrow s_1t_1=s_2t_2[/tex]

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