ep video Solve the following inequality algebraically
5|10 + 2x| - 1 > 19​

Answer:

opens down

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) - (- 10, - 1 ) , then

y = a(x + 10)² - 1

To find a substitute (- 8, - 5) into the equation

- 5 = a(- 8 + 10)² - 1 ( add 1 to both sides )

- 4 = a(2)² = 4a ( divide both sides by 4 )

- 1 = a

y = - (x - 10)² - 1 ← equation in vertex form

To determine if it opens up/ down consider the value of a

• If a > 0 then curve opens up

• If a < 0 then curve opens down

Here a = - 1 < 0 then curve opens down

Answer:

(x,y)=(37,-13)

Step-by-step explanation:

2x-11-x+3x(-13)=-13

x=37

Answer:

42.80

Step-by-step explanation:

Answer:

It should be 12+20= 32 ft

Step-by-step explanation:

The ones that apply are x-2 and x+3 as these are the factors of x2 - x - 6

Answer:

B

Step-by-step explanation:

Y is the like term here, so add them together: 3y+4y=7y.

So now you have 7y+6

Answer:

x=2

Step-by-step explanation:

tell me if i need to explain to you

-20x + 33 = -7

       - 33     -33

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

-20x = -40

------   ------

-20       -20

-40 divided by -20 = 2

So x is 2

Answer:

the money left after purchasing the purse is $111

Step-by-step explanation:

The computation of the money left after purchasing the purse is given below:

Since in the question it is mentioned that she bought a purchase with one-fourth of money

And, the purse cost is $37

So the amount left would be

= $37 × (3 ÷ 4) ÷ (1 ÷ 4)

= $37 × 0.75 ÷ 0.25

= $111

Hence, the money left after purchasing the purse is $111

Answer:

129 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The measure of angle PST 129 degrees after applying the properties of the triangle.

In terms of geometry, a triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.

It is given that:

The triangle is shown in the picture.

The equation can be made:

5x - 9 = (180 - (11x - 3))

5x + 11x = 180 + 3 + 9

16x = 192

x = 192/16 = 12

The measure of angle PST = 11x - 3

= 11(12) - 3

= 129 degrees

Thus, the measure of angle PST is 129 degrees after applying the properties of the triangle.

Learn more about the triangle here:

brainly.com/question/25813512

#SPJ2

Answer:

time=simple interest ×100/(principal ×tate)=$108×100/($400×9)=$10800/$3600=3years

Answer:

im pretty sure its pink

Step-by-step explanation:

Answer:

609

Step-by-step explanation:

ratio of teachers to students at Priory School =2:27

Let X= total number of both the students and the teacher

Ratio of teacher=( 2/29)X

Ratio of student is (27/29 )X

But total number of teacher = 42

2/29 ×X =42

2X= 42×29

2X=1218

X= 609

Hence, school's total population is 609

Answer: 12x + 10y

Step-by-step explanation:

Answer:

4) 2/6 or 1/3

5) 42/110 or 21/55

Step-by-step explanation:

4) there are two red options out of a total of 6 options, so 2/6

5) 7 red out of total of 11, so 7/11 · 6/10 = 42/110

To get the fraction 6/10:

we reduce 7 to 6 because there is one less red than originally

we reduce 11 to 10 because there is one less from the initial total

Answer:

x=2; 7

Step-by-step explanation:

Answer:

For question 4, the answer is 7. The value of x is 2.

For question 5, the value of y is 1.

9514 1404 393

Answer:

  x can be any value (infinite number of solutions)

Step-by-step explanation:

The equation simplifies to ...

  2(x -2) +3 = 2x -1

  2x -4 +3 = 2x -1

  2x -1 = 2x -1

This is true for every value of x. There are an infinite number of solutions.

Answer:

a). 7

Step-by-step explanation:

3x-4=17

3x-4+4=17+4

3x=21

3x/3=21/3

x=7

Answer:

a)7

b) 20

c) 30

Step-by-step explanation:

a) 17 + 4 = 21

21 ÷ 3 = 7

b) 4 + 1 = 5

5 × 4 = 20

c) 23 - 8 = 15

15 × 2 = 30

Answer:

West junior High needs to fill its swimming pool with water. Determine the amount of water it needs by finding the volume of the pool. Use the drop-down menus to complete the statements.

First, write the

✔ formula: V = lwh

.

Next, use parentheses when you substitute

✔ 50, 25, and 3

for l,w, and h.

Now, simplify by

✔ multiplying

50, 25, and 3.

The volume of the pool is

✔ 3,750

m3.

Step-by-step explanation:

Answer:

drop down menus its B A C D

Step-by-step explanation:

Answer: 1.25m + 3 ≤ 18; Antonio can ride 12 or fewer miles

Step-by-step explanation: so you can break down the answer choices and only have a and b left because no more than means this sign: ≤

and 1.25 is the cost for each mile so your multiplying m and 1.25 and then you add that with 3.

Answer:

how much heat is needed to raise the temperature of 20g cooper from 25c to raise the temperature of 20g of cooper from 25 c to 40c?

Step-by-step explanation:

Answer:

BC = 50

Step-by-step explanation:

Law of Cosines:

c^2 = a^2 + b^2 - 2ab*cosy (c is BC)

c^2 = 30^2 + 21^2 - 2(30)(21)cos123

c^2 = 900 + 441 - 1260*(-0.888)

c^2 = 1341 - (-1118.841)

c^2 = 2459.841

c = 49.597

c = 50

Answer:

no clue what your question is

Step-by-step explanation:

y ≥ 3x+4

y-4 ≥ 3x

[tex]\frac{1}{3} y- \frac{4}{3} \geq x[/tex]

i guess you could do that

Answer:

STW = 95°

Step-by-step explanation:

Angle inside the triangle = 180°

; 180 = 60 + 25 + x

x = 95

Hope it helps you

The number of total tables Cora can fit into her coffee shop is 16.

Combinations are mathematical operations that count the number of potential configurations for a set of elements when the order of the selection is irrelevant.

We have,

Cora plans to buy some tables that seat exactly 2 people and one large table that can seat 8 people.

The capacity of shop is 40 people.

So, the number of total tables Cora can fit into her coffee shop is

= 8 x 2

= 16

Learn more about Combination here:

https://brainly.com/question/13387529

#SPJ2