Convert the expression (5x + 2)(x - 7) from factored form to standard form

Answers

Answer 1
We use the FOIL method here. First, Outer, Inner, and Last.

(5x)(x) = 5x^2

(5x)(-7) = -35x

(2)(x) = 2x

(2)(-7) = -14

5x^2 - 35x + 2x - 14

Now combine like terms.

5x^2 - 33x - 14.

This is the right answer because it is now in the form of ax^2 + bx + c
Answer 2

Answer:

            (5x + 2)(x - 7) = 5x² - 33x - 14

Step-by-step explanation:

[tex](5x+2)(x-7)=\\\\=(5x)(x)+(5x)(-7)+(2)(x)+(2)(-7)=\\\\=5x^2-35x+2x-14=\\\\=5x^2-33x-14[/tex]


Related Questions

Tuition for one year at the University of Houston is about $12,300 Azul plans to attend this university and will save money each month for the next 4 years. His parents have saved 54,860 for his first year of
tuition. Which plan shows the amount of money Azul will need to save in order to pay for his first year at the University of Houston?

(Answer Choices)

Azul will need to save $256 25 per month for the next 4 years

Azul will need to save $1,860 per month for the next 4 years.

Azul will need to save $620 per month for the next 4 years.


Azul will need to save $155 per month for the next 4 years

Answers

I have. I clue answer choices

What is the rate of change of y with respect to x for 25x-4y=50

Answers

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

What is derivative?

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

To learn more about derivative visit: https://brainly.com/question/25081524

Y=3/8x describes a proportional relationship between x and y. What is the constant of proportionality?

Answers

Answer:

The constant of proportionality k is 3/8

Step-by-step explanation:

We are given [tex]y=\frac{3}{8}x[/tex] which describes a proportional relationship between x and y. We need to define constant of proportionality

If y ∝ x then

y=kx where k is constant of proportionality.

Comparing the given [tex]y=\frac{3}{8}x[/tex] with y=kx, we can find value of k i.e constant of proportionality.

So, k= 3/8

Hence, The constant of proportionality k is 3/8

three sides of a quadrilateral are the same length. q. the length of the forth side is 7 inches. the perimeter of the quadrilateral is 40 inches

Answers

Answer:

3q+7=40  I know im a year late but this is for whoever needs it  this year Step-by-step explanation:using algebra  the value of q is 11 inches Mark me as brainliest

The length of the equal sides of the given quadrilateral comes to be 11 inches.

What is a quadrilateral?

A quadrilateral is a polygon with 4 sides.

Suppose the length of the three equal sides =x inch

Length of the fourth side =7 inches

So, the perimeter of the quadrilateral = x+x+x+7

The perimeter of the quadrilateral = 3x+7

Given that the perimeter of the quadrilateral = 40inches

3x+7=40

3x=33

x=11

So, the length of three equal sides = 11 inches

Therefore, the length of the equal sides of the given quadrilateral comes to be 11 inches.

To get more about the quadrilateral visit:

https://brainly.com/question/23935806

PLEASE HELP!! (Give reasonable answer)

Answers

Answer: B

Step-by-step explanation: You just multiplying 25 with 10 and w which can be simplified as 24(w+10) and adding with the 13.5 x 10 and 13.5 x w, which can be simplified as 13.5(10+w)

Choose the correct pair of expressions to complete the solution of sin r +
37
2
2.
O COS X, 0
O -sin x,-1
O sin x,-1
O-COS X, 0

Answers

Answer:

sin x, –1

Step-by-step explanation:

did on edge

Will Give Brainliest To First Person!!! :)
What is the rule for exponents in parenthesis? Give an example of how you solve problems with exponents outside of parenthesis

Answers

You solve what is in the parentheses and then add the exponent to that. The number with an exponent was a five in an exponent was to you dude 5×5 which equals 24

what is the inverse function of c(n) = 4n + 20? show your work

Answers

Answer:

c(n) = 4n +20

let m = c(n)

m= 4n +20

make n the subject

m -20 =n

4.

inverse function of c(n)= n-20

4

It is a must that one replaces the m with the n in order to get the final answer

Choose the correct value for the linear correlation between latitude and August precipitation from: (i) r= -1, (ii) r=-0.700, (iii) r=-0.161 or (iv) r=-0.538

Answers

Answer:

hello your question is incomplete attached below is the missing part of the  question

answer : r = - 0.161 ( iii )

Step-by-step explanation:

The correct value for the linear correlation between latitude and August precipitation is ; r = - 0.161  and this is because the data points are showing a less negative correlation

How do you write the algebraic expression: x=-2.5 like i mean the answer

Answers

Answer:

2.5 × t = 2.5 t

Step-by-step explanation:

Which function describes the sequence 3, 6, 12, 24.... for n = 1. 2. 3.... ? A. f(n) = 3.11 B. /(n) = x2 + 2 C. f(n) = 3(2-1) D. f(n) = (n - 1)2 + 3​

Answers

Answer:

Tahukah kamu, mengapa motor berhenti di depan lampu merah?

karena motornya direm. Coba kalau nggak direm bisa bahaya tuh.

Tebak binatang apa yang jago renang?

Bebek. Kalau ikan bukan renang tapi menyelam

Kenapa di rel kereta api ditaruh batu?

Soalnya kalau ditaruh duit nanti pada diambil.

Ivian scores 58 out of 80 marks in a maths test what is his score as a percentage

Answers

Answer:

72.5%

Step-by-step explanation:

Lets make his score a percentage: 58/80

Now covert it to a percentage: 58/80 = x/100

Cross multiply: 80x = 5800, x = 145/2

Divide 145 by 2: 72 1/2

Answer is 72.5%

I hope this helped, please mark Brainliest, thank you!

satnam is making a cake he uses a batter made out of 400 g of dry ingredients if the liquid has to be 2/7 of the total weight of batter how much liquid should he add

Answers

You take [tex]\frac{2}{7}[/tex] of [tex]400[/tex].

Which is: [tex]\frac{800}{7} = 114.8 mL[/tex]

PLEASE HELP ASAP!!!!!!!!!!

Answers

Answer:

2 31/100

Step-by-step explanation:

Huilan's age is two times Thomas's age. The sum of their ages is 30 . What is Thomas's age?

Answers

Answer:

10

Step-by-step explanation:

10+20=30

20 is two times 10

Since Thomas's age is half, Thomas's age is 10

Which quadrant does the complex number -4 - 9i lie in?


a. Quadrant I
b. Quadrant III
c. Quadrant II
d. Quadrant IV

Answers

Answer:

Quadrant III

Step-by-step explanation:

because in quadrant III there is both negative terms

The coach fare to a theme park costs $21 for 3 people, what would be the cost for 6 people?
A) $42 B) $63 C) $140

Answers

Answer:

42

Step-by-step explanation:

You add 21 twice because 3 is half of 6

Answer:

A - 42

Step-by-step explanation:

21 x 2 = 42

3 x 2 = 6

From 1990 to 1996, the consumption of poultry per capita is modeled by: y=-.2125t^2 + 2.615t+56.33 where t=0 corresponds to 1990. What was the per capita poultry consumption in 1992?

Answers

Answer:

60.71

Step-by-step explanation:

Given that:

Consumption of poultry per capita is modeled by:

y=-.2125t^2 + 2.615t+56.33 ; t = 0 corresponds to 1990

Per capita poultry consumption in 1992;

1992 ; t = 2

y=-.2125t^2 + 2.615t+56.33

Put t = 2 in the equation

y=-.2125(2)^2 + 2.615(2) +56.33

y = -.2125(4) + 2.615(2) + 56.33

y = - 0.85 + 5.23 + 56.33

y = 60.71

A, B, and C are points on the circumference of a circle, centre 0. AOB is a diameter of the circle. Prove that angle ACB is 90° You must not use any circle theorems in your proof.

Answers

Answer:

Kindly refer to explanation.

Step-by-step explanation:

Given that:

A,B and C are 3 points on circumference of circle with centre O.

AOB is diameter.

Kindly refer to the attached image.

To prove:

[tex]\angle ACB = 90^\circ[/tex]

Solution:

Let [tex]\angle A = x[/tex] and [tex]\angle B = y[/tex].

Construction: Join point  A with centre O.

Considering [tex]\triangle AOC[/tex]:

Side AO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle ACO=\angle A=x[/tex]

Considering [tex]\triangle BOC[/tex]:

Side BO = OC because both are the radius.

Angles opposite to equal sides in a triangle are equal.

Therefore, [tex]\angle BCO=\angle B=y[/tex]

[tex]\angle ACB = \angle ACO + \angle BCO = x+y[/tex] ...... (1)

Now, in [tex]\triangle ABC:[/tex]

Using angle sum property of triangle:

[tex]\angle A + \angle B + \angle ACB =180^\circ\\\Rightarrow x+y+x+y=180^\circ\\\Rightarrow 2(x+y)=180^\circ\\\Rightarrow x+y=90^\circ[/tex]

By equation (1):

[tex]\angle ACB = 90^\circ[/tex]

Hence proved.

The length of a rectangular garden is 5 times its width.

Find the length and width if the area is 500 m^2. Has anyone who answer me to this question?

Answers

Answer:

10 m and 50 m

Step-by-step explanation:

Givenl = 5wA = 500 m²To findLength and widthSolution

Area formula

A = lw A= 5w*w= 5w²5w² = 500w²= 100w = √100w = 10 m

Then

l = 5w = 5*10 m = 50 m

Write an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4

Answers

Answer:

y - 5 = -4(x + 1)

Step-by-step explanation:

The point-slope form is y - k = m(x - h).  The point is (h, k):  (-1, 5) and the slope is -4.

Here we have y - 5 = -4(x + 1)

The required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Given that, To determine an equation in point-slope form for the line that passes through the point with the given slope. point: (-1, 5) and m=-4.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
Put the values in the above equation of the line
y - 5 = -4 (x - (-1))
y - 5 = -4 (x + 1)

Thus, the required point-slope form of the equation of the line is y - 5 = -4(x + 1).

Learn more about slopes here:
https://brainly.com/question/3605446

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The table shows the number of coins Kaitlyn has.
penny
4
nickel
9
dime
3
quarter
5
Write the ratio of dimes to all coins that Kaitlyn has as a
fraction in simplest form.

Answers

answer: 1/7

explanation: she has 3 dimes so that is the numerator. add up all the total coins she has to get 21 for the denominator. you get 3/21. to simplify, divide both numerator and denominator by the common factor 3.

don’t know if it’s 100% correct but hoped it helped in some way! :)

WILL MARK BRAINLIEST!!

1. Find 7% sales tax on a $48 purchase.

2. Find 6.5% sales tax on a $25 purchase.

3. You markup a $25 tool by 45%. What is the new price?

4. You markup a $40 watch by 75%. What is the new price?

5. You discount a $120 TV by 44%. What is the new price?

6. You discount a $65 coat by 25%. What is the new price?

PLEASE EXPLAIN HOW THAT ANSWER IS CORRECT, PLEASE HURRY! I NEED THIS FILLED OUT ASAP.

Answers


Answer/Explanation:
1. 48 x 0.07 = $3.36
2. 25 x 0.065 = $1.63
3. 25 x 0.45 = 11.25, 11.25 + 25 = $36.25 (New price is $36.25)
4. 40 x 0.75 = 30, 30 + 40 = $70
(New price is $70)
5. 120 x 0.44 = 52.80, 120 - 52.80 = 67.2 (New price is $67.20)
6. 65 x 0.25 = 16.25, 65 - 16.25 = 48.75
(New price is $48.75)

Hope this helps :)

QUICK ANSWER PLEASE
In triangle NLM, point S is the centroid, QS = (3x – 5) cm, and NS = (4x) cm.

Triangle N L M has centroid S. Lines are drawn from each point to the midpoint of the opposite side to form line segments N Q, L R, and M P. The length of line segment N S is 4 x and the length of line segment S Q is 3 x minus 5.

What is NS?


5 cm

10 cm

20 cm

30 cm

Answers

30cms lol I think haha

Which of the following is a rational number? ​

Answers

Answer:

B.)

Step-by-step explanation:

A rational number is a number with no repeating decimals or decimals that go on “forever” like pi.  An expample of a rational number is 2 where 2.3333333... is not a rational number.  Pi isn’t a rational number either since forth there is no known end to that.  

So, when solved:

A.) = 1.58113883...  (irrational)

B.) = -8 (rational)

C.) = 8.94427191... (irrational)

D.) = 3.794733192... (irrational)

I hope you see the pattern.  Hope this helps!

PLEASE HELP MY MOM IS GOING TO HIT ME IF I DONT GET THIS RIGHT AND I HAVE 10 MINUTES TO FINISH MY TEST

solve the equation for y: 1/4y - 2x = 5

Answers

Answer:

x = (5-(1/4*y))/(-2) why does there have to be 20 characters lol

Answer:

y= 8x+20

Step-by-step explanation:

1/4y= 2x+5

y= 4(2x+5)

y= 8x+20

The australain sheep dog is breed renowned for its intelligence and work ethic it is estimate that 45% of adult australian sheep dogs weigth 65pounds or more asample of 15 adult dogs is studied what is the probalilty that more than 12 of them weigh 65 lb

Answers

Answer:

The probability is 0.0011 to 4 d.p

Step-by-step explanation:

Let p = probability of the dog weighing more than 65 pounds or more = 45% = 45/100 = 0.45

q is weighing less than = 1-p = 1 - 0.45 = 0.55

So the probability of more than 12 weigh 65 lb

That means 13, 14 or 15 weigh more than 65 lb

We can use Bernoulli approximation of Binomial distribution to get this;

That would be ;

15 C 13 0.45^13 0.55^2 + 15 C 14 0.45^14 0.55 + 15 C 15 0.45^15 0.55^0

= 0.001107024147 Which is approximately 0.0011 to 4 decimal place

sweet t is making a double batch of Pupcakes. he puts them in the oven at 6:50. they need to bake for 25 minutes

Answers

i would love to help but i just need free points

Step-by-step explanation:

Will give brainliest if correct

Answers

Answer:

y=4

x=2

Step-by-step explanation:

y=4

x=2

I think it's right..

Hope I helped!

Answer:

x - intercept = 2

y - intercept = 4

The prime factorization of 2020 is 2² × 5¹ × 101¹. How many different whole numbers are factors of 2020?

Answers

Answer:

4

Step-by-step explanation:

1, 2, 4, 5, 10, 20, 101, 202, 404, 505, 1010

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