Please help!

The black graph is the graph of
y = f(x). Choose the equation for the
red graph.

Answer:

∠RQT = 23.5

∠PQR  = 133°

Step-by-step explanation:

Step 1 - Add angles together:

As all angles on a straight line must add up to 180°:

3x - 5 + x + 1 = 180

Add like terms together

3x + x - 5 + 1

4x - 4 = 180

Step 2 - Add 4 to both sides of the equation:

4x - 4 + 4 = 180 + 4

4x = 184

Step 3 - Divide both sides by 4:

[tex]\frac{4x}{4} = \frac{184}{4}[/tex]

x = 46

∠RQS = x + 1

∠RQS = 46 + 1

∠RQS = 47

Given the ray QT bisects ∠RQS, the angles must be the same on either side so:

47 ÷ 2 = ∠RQT

∠RQT = 23.5

As we know the value of x:

∠PQR = 3x - 5

Plug known values in:

3x - 5

3(46) - 5

138 - 5

∠PQR  = 133°

This can also be calculated by subtracting known angle ∠RQS from 180:

180 - 47 = 133.

Hope this helps!

The equation of a parabola that has a vertex of (-2, 5.5) and passes through the point (-2.5, 2.5) is  [tex]y=-12(x+2)^2+5.5[/tex]

The vertex form of the equation of a parabola is:

[tex]y=a(x-h)^2+k[/tex]

where (h, k) is the vertex of the parabola

(x, y) is the point that the parabola passes through

The vertex, (h, k) = (-2, 5.5)

The point, (x, y) = (-2.5, 2.5)

Substitute h = -2, k = 5.5, x = -2.5, and y = 2.5 into the equation to solve for a.

[tex]2.5=a(-2.5-(-2))^2+5.5\\\\2.5=a(-2.5+2)^2+5.5\\\\2.5-5.5=a(-2.5+2)^2\\\\-3=a(-0.5)^2\\\\-3=0.25a\\\\a = \frac{-3}{0.25} \\\\a = -12[/tex]

Therefore, the equation of the parabola is:

[tex]y=-12(x-(-2))^2+5.5\\\\y=-12(x+2)^2+5.5[/tex]

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3 Years

Compound interest is a multiplier that affects the new value each time.

If the compound interest is 10% per annum, the multiplier each year is 1.1.

Year 1: $1000 * 1.1 = $1100

Year 2: $1100* 1.1 = $1210

Year 3: $1210* 1.1 = $1331

This means that it will take 3 years for $1000 to amount to $1331 at 10% per annum.

Alternatively, you can use a logarithm. The calculation can be written as:

1000 * [tex]1.1^n[/tex] = 1331, where n is the number of years.

Rearranged, this gives [tex]1.1^n[/tex] = 1331/1000 or [tex]1.1^n[/tex] = 1.331.

A logarithm can work out the value of n, and is written in the form log1.1(1.331), which gives a value of 3.

Answer:

f ( 3 ) = 81

Step-by-step explanation:

→ Substitute in x = 3

9 × 3² - 3

→ Simplify

9 × 9 - 3

→ Simplify again

78

Answer:

Step-by-step explanation:

Attached each inequality separately and the solution showing the intersection below.

y > -1/3x + 2

x < 4

Answer:

The correct answer is (c) 30°

Hope it helps

Answer: x = -1.4

Step-by-step explanation:

Answer: x = -7/5

Step-by-step explanation: (3)(x)+(3)(−6)+−8x = −2+(5)(2x)+(5)(1)                       3x+−8x+−18 = 10x+−2+5                                                                                       −5x+−18 = 10x+3                                                                                                 −5x−18-10x = 10x+3-10x                                                                                             −15x−18+18 = 3+18                                                                                                   −15x/-15=21/-15                                                                                                         x = -7/5

Answer:

the first 2 compartments have 25 so 25+25=50, and the last has 8 in it so 50+8=58

Answer:

The underline one is 40.

Missing numbers. 35, 40 45, 50, 55, 60, 65, 70.

Step-by-step explanation:

Add 5 rule

Answer:

5. The tens place.

6. 35, 40, 45, 50, 55, 60, 65.... (And so on)

Step-by-step explanation:

Hoped this helped.

Answer:

= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Result in decimals: 0.66666666666667

x = mutiply

[tex]=\frac{1}{3} x\frac{2}{1}[/tex]

[tex]\frac{1 x 2}{3 x 1 }[/tex]

= [tex]\frac{2}{3}[/tex]

(Hope this helps can I pls have brainlist (crown)☺️)

Answer:

the correct answer is A.1

the result is explained below in the photo

Answer:

y = 1

Step-by-step explanation:

2x + y = 7

x = 3

plug in 3 for x

2(3) + y = 7

Multiply 2 * 3

6 + y = 7

Therefor y = 1

Answer:

p = 6/11

Step-by-step explanation:

11/6 = 1/p

=> 11p = 6

=> p = 6/11

Hoped this helped.

Answer:

False.

Step-by-step explanation:

The sides of a triangle rule asserts that the sum of the lengths of any two sides of a triangle has to be greater than the length of the third side. However, 8+6=14 is less than 15. Hence, the triangle cannot be formed.

The gross income or profit of the company is the difference between the

total revenue and the cost of items produced.

The values for the gross profits are;

Reasons:

The gross profit is given by the equation;

Gross profit = Net revenue - Cost of items sold

The net revenue for 75,000 units = $57.50 × Sales price per unit

∴ The net revenue for 75,000 units = $57.50 × 75,000 = $4,312,500

Cost of production = 75,000 × Per unit cost of Materials plus Labor plus variable overhead + Fixed overhead

Cost of production = 75,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 3,562,500

The cost of producing 75,00 units per year = $3,562,500

Gross profit = $4,312,500 - $3,562,500 = $750,000

(b) When the number of units produced = 110,000, we have;

Cost of production = 110,000 × (10.50 + 8.00 + 12.50) + 1,237,500 = 4,647,500

Gross profit = $4,312,500 - $4,647,500 = $ -335,000 (a loss of 335,000)

2. By producing 35,000 units more than it sells, we have;

Cost > Revenue, therefore, the gross profit decreases

Let, X, represent the number of units sold, we have;

The number of units produced = X + 35,000

Which gives;

Cost of production = (X + 35,000) ×  (10.50 + 8.00 + 12.50) + 1,237,500 =

31·X + 2,322,500

Net revenue = X × 57.50 = 57.50·X

The profit =  57.50·X - (31·X + 2,322,500) = 26.5·X - 2,322,500

When X = 75,000, we have;

Gross profit = 26.5 × 75,000 - 2,322,500 = -335,000

Therefore;

The gross profit will decrease by 750,000 - (-335,000) = 1,085,000

The gross profit of the company will would decrease by $1,085,000, if it

sells 75,000 units and produces 110,000, which is 35,000 more units than

is sells.

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Answer: 3

Step-by-step explanation:

Answer:

The scale is 1:18 for the entire room, 1 inch in the diagram for 18 inches IRL

Step-by-step explanation:

12 inches = 1 foot

Convert the feet to inches, then divide both sides of the ratio by the # of inches in the diagram

So for length:

10:(15*12)

10:180

1:18

And for width:

8:12(12)

8:144

1:18

Answer:

18 inches

Step-by-step explanation:

The question asks for scale of inches in the drawing and the actual room, so first convert 15 ft and 12 ft into inches.

1 foot= 12in x 1ft= 12 inches

15 feet= 12in x 15ft = 180 inches

12 feet= 12in x 12ft = 144 inches

The room is 180 inches long and 144 inches wide.

To find the scale, set up a proportion to the drawing to the room.

[tex]\frac{10}{8} =\frac{180}{144}[/tex]

You can see that the scale is 18 inches because to get from 180 to 10, you multiply by 18, and the same thing as 8, you would multiply 8 by 18 to get to 144.

Answer:

1/6

Step-by-step explanation:

When the equation is in the form "y = mx + b", m is the slope. This linear line has a slope of 1/6 and a y-intercept of -1/2.

Answer:

Use unit converter.

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68

Answer:

I think the answer is c

Answer:

y = x^2 - (sqrt(8) + sqrt(10))x + sqrt(80)

Step-by-step explanation:

we do y = (x- sqrt8)(x -sqrt10) and simplify

Answer:

Three tenths/ 3/10

Step-by-step explanation:

1/5 divided by 2/3 is 0.3 which is equal to 3/10

5*-3=-15

x=-15

hope this helps

Answer:

x = -15

Step-by-step explanation:

[tex]\frac{x}{5}=-3~(Given)\\\\5(\frac{x}{5})=5(-3)~(Multiply~5~on~both~sides)\\\\x=-15~(Simplify)[/tex]

Answer:

  d.  19√2 -29

Step-by-step explanation:

Multiply numerator and denominator by the conjugate of the denominator.

  [tex]\dfrac{9-10\sqrt{2}}{\sqrt{2}+1}=\dfrac{(9-10\sqrt{2})(\sqrt{2}-1)}{(\sqrt{2}+1)(\sqrt{2}-1)}\\\\=\dfrac{9\sqrt{2}-9-10\cdot2+10\sqrt{2}}{2-1}=\boxed{19\sqrt{2}-29}[/tex]

Answer:

Step-by-step explanation:

a. There are 4 terms in the expression

b. There are 3 factors in the first term.

c. The constant is 16.

8ab + 3b + 16 - 4a

A term is any signed number, a variable, or a constant  multiplied by a

variable or variables.

Therefore, the terms are 8ab,  3b,  16, and -4a. The terms are 4 in numbers.

The first term is 8ab .The first term has the factors 8 , a and b. This means the first term have 3 factors.

The term that is a constant is 16

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here are the correct answers :)

Answer:

x > 48

Step-by-step explanation:

There’s nothing told to us or showed to us to answer It So I was only able to answer it with an inequality :(((

sorry if this didn’t help but once again… not enough information :(

Answer:

Simplifying

6r + r + -5r = 0

Combine like terms: 6r + r = 7r

7r + -5r = 0

Combine like terms: 7r + -5r = 2r

2r = 0

Solving

2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Divide each side by '2'.

r = 0

Simplifying

r = 0

7r-5r < this is the answer

6r+r=7r