Multiply and combine like terms to determine the product of these polynomials:
(2x + 3)(5x − 6)

Answer:

Step-by-step explanation:

The absolute value function changes slope at its vertex. Here, that vertex is translated to x = -1. To the left of that point, the function is equivalent to one that negates its argument:

  |x| = -x . . . for x < 0

  |x| = x . . . for x ≥ 0

for (x+1) < 0

  y = -7.5(x +1) -5 = -7.5x -12.5

for (x+1) ≥ 0

  y = 7.5(x +1) -5 = 7.5x +2.5

This means we can write the piecewise function as ...

  [tex]y=\begin{cases}-7.5x-12.5,&\text{if }x<-1\\7.5x+2.5,&\text{if }x\ge-1\end{cases}[/tex]

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

Explanation:

Let point N be at the intersection of the horizontal line and segment JM.

We can prove the right triangles JNK and MNK are congruent using the hypotenuse leg (HL) rule. This in turn means JN = NM through the use of CPCTC.

In other words, JN = NM because the horizontal line is the perpendicular bisector of JM.

So,

JM = JN + NM

JM = NM + NM

JM = 2*NM

JM = 2*7.1

JM = 14.2

Answer:

JM = 14.2

Step-by-step explanation:

Given JK = MK then Δ JKM is isosceles.

The line through K is a perpendicular bisector of JM , so

JM = 2 × 7.1 = 14.2

Answer:

x=-9/28

Step-by-step explanation:

-4(-6x-3)+4x=3

24x+12+4x=3

28x+12=3

28x=-9

x=-9/28

Answer:

x = -9/28

Step-by-step explanation:

Therefore, the solution is 'x = -9/28'.

Hoped this helped.

Answer:

1. 3^4 x 3^3 < 3^12

2. 3^3 x 4^3 < 12^4

3. 3^4 x 4^3 > 12^3

Answer:

256 fluid ounces

Step-by-step explanation:

2 gallons = 8 quarts

8 quarts = 16 pints

16 pints = 32 cups

32 cups = 256 fluid ounces

Answer:

80%

Step-by-step explanation:

Nine would equal ten percent, so we double that to get twenty percent, so 18 is twenty percent. Therefore we can determine that it is a 80% decrease.

Answer:

The function is 200+50t (t= # of months)

Step-by-step explanation:

The best way to do this is to look at the question, and see no matter what, we have to pay 200 dollars to start. After which, they charge 50 bucks a month. Knowing this, we can make a function using f(x). Let C(t)= cost. Included is that graph. So for these questions, we need to see that there is an independent and a dependent variable, and we need to see that cost is affected by time. Hope this helps.

Answer:

45 kg of apple juice

Step-by-step explanation:

Divide 25% by 10%

The answer you get multiply it by 30

Take the answer you get subtract the 30 kg

Answer:

x=18

Step-by-step explanation:

10-(-8)=18

Relation 1 is a function because we don't have any repeated x values. Each input goes to exactly one output.

On the other hand, relation 2 is not a function because x = 4 repeats itself. The input x = 4 leads to more than one output.

Answer:

  correct

Step-by-step explanation:

Corresponding vertices are listed in the same order. In BCDE, segment DE is listed last. In OPQR, the segment listed last is QR. If the figures are congruent, then ...

  DE ≅ QR

Answer:

Step-by-step explanation:

Answer:

−2−5

Step-by-step explanation:

(-3x+4)+(x-9)

−3x+4+x−9

Subtract

−3x+4+x−9

-3−5+

Combine terms

−3x−5+x

−2−5

Answer:

9 hours

Step-by-step explanation:

270/30=9

The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

Given the expression 256 + 4. This can be solved using the partial sum expressed as:

256 + 4

256 + 4

= (200 + 40 + 16) + 4

According to the commutative property, A+B = B+A

The arrangement does not affect the result. Hence;

Using the distributive law;

Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.

​Learn more on  partial sum  here: https://brainly.com/question/6958503

Answer:A. (22)(40)+(22)(6)

Step-by-step explanation: (22)(40)+(22)(6)

880+(22)(6) 880+132 1012

Answer:

  $30

Step-by-step explanation:

If x is the cost of a lesson, the total cost of Jodie's purchase is ...

  cost of lessons + rental cost = total cost

  12x + 25 = 385

  12x = 360 . . . . . . . subtract 25

  x = 30 . . . . . . . . . . divide by 12

Each violin lesson costs $30.

They are extremely similar but a(x) has a greater y-intercept!

If you look at the y axis, a(x) simply intercept it higher than b(x)

Hope this helps!

Answer:

a(x)

because the greater is a(x)

The total selling price before tax is $261.96.

The sales tax paid is $15.72.

The total cost is  $277.68.

The total selling price before tax is the sum of the prices of the WWE 2K21, Starbucks Vanilla Coffee,  new Keurig K550 and the jeans

$49.99 + $13.99 + $179.99 + $17.99 = $261.96.

Sales tax is the amount of money levied when a good or service is purchased. It is a percentage of the price of an item

Sales tax = tax rate x cost

6% x $261.96 = $15.72

The total price paid is the sum of the sales tax and the  total selling price.

$15.72 +  $261.96 = $277.68

To learn more about taxes, please check: https://brainly.com/question/25311567

Answer:

thankss

Step-by-step explanation:

Answer:

1,250,000

Step-by-step explanation:

875,000 sandals account for 70% of the total pairs sold.

875,000/7 = 125,000

125,000 accounts for 10%.

125,000 * 10 = 1,250,000.

1,250,000 accounts for 100%.

The company sells pairs of shoes in June is 612,500

In Emily's calculation the error she makes in the second last steps she forgets to write the term 70.

Given that,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

We have to determine,

How many shoes did the company sell in June? Analyze Emily's calculations. What error did she make?

According to the question,

Shiras Shoes sold 875,000 pairs of sandals in June, which was 70% of the total number of shoes sold.

Then,

The shoes did the company sell in June is,

[tex]= \dfrac{70} {100}\times 875,000\\\\=8750 \times 70 \\\\= 612,500[/tex]

Hence, The company's sells pair of shoes in June is 612,500.

For more details refer to the link given below.

https://brainly.com/question/9351049

Answer:

This is what i got

Answer:

1/2

Step-by-step explanation:

becase 1(0,0) 2(2,1) = 1/2

Answer:

Answer is -7

Step-by-step explanation:

coz if -2 equal only  

- answer so answer is

-7

Answer:

5

Step-by-step explanation:

First, you multiply the 5 by 2x to get 10x, then multiply the 5 by -2 to get -10. After that, you should get:

10x-10=8x

And here’s how you find x:

10x-10=8x

-10x     -10x

-10x=-2x

/-2x   /-2x

x=5

The sketch of the locus AP = BP  shows an equal distance between AP and BP which can be seen in the image attached below.

A square is a plane figure that has four sides with each side adjacent to each other and they make a right angle of 90° to one another.

A locus is a point that satisfies a constraint on the square of the distances between two lines.

The sketch of the locus AP = BP given an intersection between lines A and B and that intersection is point P.

Learn more about plane figures here:

https://brainly.com/question/20475473

[tex](1)\\\\-88\leq -8(x+6)\\\\\implies -88\leq -8x -48\\\\\implies -88+48 \leq -8x\\\\\implies -40 \leq -8x\\\\\implies \dfrac{-40}{-8} \geq x~~~~ ;[\text{Dividng by a negative number so, reverse the inequality}]\\\\\implies 5 \geq x\\\\\implies x \leq 5\\\\\text{Interval solution,}~ (-\infty,5]\\\\\\(2)\\\\43 > -5k+3 \geq 8\\\\\text{Now,}\\\\43>-5k+3\\\\\implies 43-3 > -5k\\\\\implies 40 >-5k\\\\\implies - \dfrac{40}5 <k\\\\\implies -8<k\\\\\implies k>-8\\\\[/tex]

[tex]-5k+3 \geq 8\\\\\implies -5k \geq 8 -3\\\\\implies -5k \geq 5\\\\\implies k \leq -1\\\\\text{Combine solutions,}\\\\-8<k\leq -1\\\\\text{Interval solution,}~ (-8, -1][/tex]

Answer:

hi

Step-by-step explanation:

Answer:

She reads one page in 1.40

Answer:

Step-by-step explanation:

You need to factorize each number in the set:

Common factors of both numbers are:

GCF(24, 32) = 8