A student factors 10x2 + 3x – 27 to the following. (2x – 3)(5x + 9) Which statement about (2x – 3)(5x + 9) is true? The expression is equivalent, and it is completely factored. The expression is equivalent, but it is not completely factored. The expression is not equivalent, but it is completely factored. The expression is not equivalent, and it is not completely factored.

As x and y vary inversely as each other , if x=7 then y =  -8/7.

in the question ,

it is given that

x and y vary inversely ,

So , x * y = k

given that , when x = 4 , the value of y = -2 .

Substituting , 4 * (-2) = k

k = -8

so , the constant of variation (k) = -8 .

in order to find value of y when x = 7 ,

we substitute x=7 and k = -8 in the relation xy = k

we get , 7 * y = (-8)

Dividing both sides by 7 we get

7y/7 = -8/7

on simplifying we get ,

y = -8/7

Therefore , as x and y vary inversely as each other , if x = 7 then y = -8/7 .

The given question is incomplete , the complete question is

If y varies inversely as x, and y = -2 when x = 4 find y when x = 7  .

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The minimum amount monthly credit card payment be in order to pay off his debt in 14 months is $244.15, the correct option is C.

We are given that;

Out of savings=  $2,300

Credit card debt = $5,390

Rate=16.5%

Now,

We need to know the percentage rate that Alex’s issuer uses to calculate the minimum payment, and the interest charge and fees for each month. Assuming that Alex’s issuer uses a 2% rate, and that there are no fees or past-due amounts, we can use this formula:

Credit Card Minimum Payment = (A * P) + I

Where A is the statement balance, P is the percentage rate, and I is the interest charge.

The interest charge can be calculated by multiplying the balance by the APR and dividing by 123. For example, the interest charge for the first month is:

I = ($5,390 - $2,300) * 0.165 / 12 I = $42.74

The minimum payment for the first month is:

Credit Card Minimum Payment = ($5,390 - $2,300) * 0.02 + $42.74 Credit Card Minimum Payment = $104.54

To pay off the debt in 14 months, Alex needs to pay more than the minimum payment every month. We can use an online calculator4 to find out how much he needs to pay monthly to achieve this goal.

Therefore, by percentage the answer will be $244.15.

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The slope of the line shown in the graph is __2/3__

and the y-intercept of the line is __6___

The general linear equation is written as follows:

y = ax + b

Where a is the slope and b is the y-intercept.

On the graph we can see that the y-intercept is y = 6, then we can write the line as:

y = ax + 6

The line also passes through the point (-9, 0), replacing these values in the line we will get:

0 = a*-9 + 6

9a = 6

a = 6/9

a = 2/3

That is the slope.

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Refer to the graph below for the graphical representation of the given equation y = 49x.

Graph:

Refer to the graph given below for the equation y=49x.

Therefore, the graph of the given equation y=49x is shown below.

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Using the formula of the combination and for the values of 'p' and 'q'. The statement is false.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant. You can choose the components of combos in any order.

The formula is:

\(C(p,q) = \frac{p!}{q!(p-q)!}\)

p=4 and put q=0 to 4

C(4,2) > C(4,0),C(4,1),C(4,3),C(4,4)

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Answer:

Easy,

1) To find the area you need to multiply. Therefore 10 x 4 = 40 square centimeters.

2) 20, why? A calculator online for area of a triangle, it really helps! :) just look up triangle area in the future.

Step-by-step explanation:

Hi again

Answer:

7t=105

Mu walked 15 laps

`$7 * l = $105`

`l = $105 : $7`

`l = 15 (laps)`

Answer:

Substraction

Step-by-step explanation:

Given that  

The amount paid in the year 2018 is $3,200

And, in the year 2019 the amount paid is $3,516'

We need to find the differnece between two years so how we can find

Basically we need to subtract the amount i.e.

= $3,516 - $3,200

= $316

hence, the difference is of $316 from 2018 to 2019

Answer:

The angle made by two secants intersecting outside a circle is half the difference between the intercepted arc measures. When two secants intersect outside a circle, there are three angle measures involved: The angle made where they intersect (angle APB above) The angle made by the intercepted arc CD.

Step-by-step explanation:

please mark this answer as brainliest

The three (3) possible combinations are

Alex should 20 hats and 20 scarves

Let the number of scarves be x and y be the number of hats

He can make at most 20 hats and 30 scarves, but no more than 40 items altogether

x ≤ 20

y ≤ 30

x + y ≤ 40 (in time of market)

x + y ≥ 25

The possible combinations are

He should choose the third option x = 20, y = 20 this allows him to take more products to the show

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Answer:

72 stickers can be given

The length of FG is 40 units.

What are parallel lines?

Two or more lines that are consistently parallel to one another and that are located on the same plane are referred to as parallel lines. No matter how far apart parallel lines are, they never cross. The relationship between parallel and intersecting lines is the reverse. The lines that never meet or have any possibility of meeting are known as parallel lines.

Since FG is parallel to CD, triangles CDE and FGE are similar. Thus, we can set up the following proportion:

CE/CD = FG/FE

Substituting the given values, we get:

32/16 = FG/20

Simplifying the left side, we get:

2 = FG/20

Multiplying both sides by 20, we get:

FG = 40

Therefore, the length of FG is 40 units.

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the derivative of the function f(x) = (3x² + 4)/(x² + 2) is f'(x) = -4x / (x² + 2)².

To find the derivative of the function f(x) = (3x² + 4)/(x² + 2), we can use the quotient rule.

The quotient rule states that if we have a function in the form of f(x) = u(x)/v(x), where u(x) and v(x) are differentiable functions, then the derivative of f(x) is given by:

f'(x) = (v(x) * u'(x) - u(x) * v'(x)) / (v(x))²

Applying the quotient rule to our function f(x) = (3x² + 4)/(x² + 2), we have:

u(x) = 3x² + 4

v(x) = x² + 2

Now, let's find the derivatives of u(x) and v(x):

u'(x) = d/dx (3x² + 4)

     = 6x

v'(x) = d/dx (x² + 2)

     = 2x

Plugging these values into the quotient rule formula:

f'(x) = [(x² + 2)(6x) - (3x² + 4)(2x)] / (x² + 2)²

Expanding and simplifying:

f'(x) = (6x³ + 12x - 6x³ - 8x) / (x² + 2)²

     = (12x - 8x) / (x² + 2)²

     = 4x / (x² + 2)²

Therefore, the derivative of the function f(x) = (3x² + 4)/(x² + 2) is f'(x) = 4x / (x² + 2)².

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Complete question is below

Use the rules of differentiation to to find the derivatives of the functions: (a) f(x) = (3x²+4)/(x²+2)

Answer:The midpoint can be any middle part of a line, and the perpendicular Bisector is can only be 90 degrees.

Answer:

BCA and DCA are right angles

Step-by-step explanation:

right angles look like L 's

BCA AND DCA!

Step-by-step explanation:

im good at math

Answer:

Box C

Step-by-step explanation:

First switch the box that's in kilograms into grams. One kilogram=1000 grams. So box C is 1250 grams.

Next divide the amount in each box by the cost of each box.

Box A 500/173=2.89

Box B 750/260=2.88

Box C 1250/435=2.87

So, since box C has the lowest amount when divided, that box has the best value.

Answer:

I think its B :3

Step-by-step explanation:

4c = 25

I dunno how to explain--

Answer: This is the graph

Answer:

It the first one

Step-by-step explanation:

Answer:

C.    Student C, who is paid $290 for 20 hours of work

Step-by-step explanation:

What we know:

    - Student A ( 164.50 = 14 hours )

    - Student B ( 162.00 = 12 hours

    - Student C ( 14.50h = p )

What we need to figure out:

    - How much each person makes per hour ( Pt.1 )

    - Who will make the most in 20 hours ( Pt.2 )

How to execute:

    - Divide for A & B

    - Convert for C

    - Multiply for all

Step 1: Divide the total pay by the hours for A & B

Student A:   164.50 ÷ 14 = 11.75 per hour ( Found PT.1 )

Student B:    162.00 ÷ 12 = 13.50 per hour ( Found PT.1 )

Step 2: Convert C so that it looks like A & B

Student C:    14.5(h) = p  --->   p ÷ h =   14.5 per hour ( Found PT.1 )

Step 3: Multiply the hourly rate by the 20 hours

Student A:   11.75 × 20 = 235 for 20 hours      ( Found PT.2 )

Student B:   13.50 × 20 = 270 for 20 hours     ( Found PT.2 )

Student C:   14.50 × 20 = 290 for 20 hours     ( Found PT.2 )

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I saw the comment about not being able to mark the other person brainliest because no one else answered. I'm here to fix that. Also, the answer is C.

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Solution:

\(y = \frac{1}{2}\)

Process of Solution:

1. Switch sides.

\(y-1=-\frac{1}{2}\)

2. Add 1 to both sides.

\(y-1+1=-\frac{1}{2} +1\)

3. Simplify.

\(y = \frac{1}{2}\)

Hope this helps!

Answer:

...not lie on the same plane.

Step-by-step explanation:

Answer:

2 x − y = − 9

Step-by-step explanation:

I am not 100% sure but I think this is right.

Answer:

Step-by-step explanation:

2x+y=9

Answer:

C and D

Step-by-step explanation:

exponent of an exponent means

they got multiplied

x^m/n = nth root of x^m

x^8/5 means

(x^8)^1/5 or

5th root of x to the 8th power

x^1/5 is the

5th root of x^8

mthwaycom

Answer:

L(t) = 170 - 10t

Step-by-step explanation:

Alexa borrowed some money from her friend in order to help buy a new video game system. Alexa agreed to pay back her friend $10 per week and originally borrowed $170. Write an equation for L, in terms of t, representing the amount Alexa owes her friend after t weeks.

Let

Initial amount Alexa borrowed= L(o)

Amount Alexa pays per week= k

Number of weeks= t

Amount Alexa owes her friend after t weeks= L(t)

The amount that Alexa owes after t weeks is given by the equation:

L(t) = L(o) - kt

Where,

L(o) = $170

k= $10

Substituting the values into the equation, we have,

L(t) = L(o) - kt

L(t) = 170 - 10t

Therefore,

The amount Alexa owes her friend after t weeks is given by

L(t) = 170 - 10t