How do I work out this question (explanation and answer please)

Answer:

a. [tex]\frac{(x-7)}{x^2+x-30}[/tex]

Step-by-step explanation:

[tex]\huge \frac{x^2-3x-28}{(x^2+10x+24)(x-5)} \\\\\huge {=\frac{x^2-7x+4x-28}{(x^2+6x+4x+24)(x-5)}}\\\\\huge {=\frac{x(x-7)+4(x-7)}{\{x(x+6)+4(x+6)\}(x-5)}}\\\\\huge {=\frac{(x-7)(x+4)}{(x+6)(x+4)(x-5)}}\\\\\huge {=\frac{(x-7)}{(x+6)(x-5)}}\\\\\huge {=\frac{(x-7)}{x^2+(6-5)x+6(-5)}}\\\\\huge {=\frac{(x-7)}{x^2+x-30}}[/tex]

Answer with Step-by-step explanation:

We are given that a function

[tex]f(x)=x^3-x^2-17x-15[/tex]

We have to find the graph of the given function.

y-intercept:It is that  value of y where the graph cut the y- axis.

Let

[tex]y=f(x)=x^3-x^2-17x-15[/tex]

Substitute x=0

Then, we get

[tex]f(0)=-15[/tex]

y-intercept of the graph=-15

x- intercept: It is that value of x where the graph cut the x- axis.

Substitute y=0

[tex]x^3-x^2-17x-15=0[/tex]

Substitute x=-1

[tex]-1-1+17-15=0[/tex]

Therefore,x=-1  is a solution of given equation.

[tex](x+1)(x^2-2x-15)=0[/tex]

[tex](x+1)(x^2-5x+3x-15)=0[/tex]

[tex](x+1)(x(x-5)+3(x-5))=0[/tex]

[tex](x+1)(x+3)(x-5)=0[/tex]

[tex]\implies x=-1,-3,5[/tex]

Hence, the x-intercept are

-3,-1 and 5

Answer:b on edg 2020

Step-by-step explanation:

Answer:

6 3/4 miles

Step-by-step explanation:

We can use ratios to solve

20.25 miles         x miles

------------------ = ------------

3 hours              1 hours

Using cross products

20.25 * 1 = 3x

Divide each side by 3

20.25 /3 = x

6.75 = x

Changing to a fraction

6 3/4

Answer:

Hey love, be sure to add a photo! i will edit my answer once you do so :D

Answer:

C

Step-by-step explanation:

The table shows that Sara earns 4 dollars per hour. The equation shows that Abbey earns 5 dollars per hour.

I hope that helps. If there are any questions left, just comment:)

Please mark me brainliest (it gets you 10 points back btw)

Answer:

5

Step-by-step explanation:

Given is a right angled triangle.

Therefore, by Pythagoras theorem:

[tex] {(2x + 3)}^{2} = {x}^{2} + {(2x + 2)}^{2} \\ 4 {x}^{2} + 9 + 12x = {x}^{2} + 4 {x}^{2} + 4 + 8x \\ 9 + 12x = {x}^{2} + 4 + 8x \\ {x}^{2} + 4 + 8x - 12x - 9 = 0 \\ {x}^{2} - 4x - 5 = 0 \\ ({x}^{2} - 4x + 4 )- 4 - 5 = 0 \\ {(x - 2)}^{2} - 9 = 0 \\ {( x - 2)}^{2} = 9 \\ x - 2 = \pm \: \sqrt{9} \\ x - 2 = \pm 3 \\ x = 2 \pm 3 \\ x = 2 + 3 \: \: or \: \: x = 2 - 3 \\ x = 5 \: \: or \: \: x = - 1 \\ \because \: x \: can \: not \: be \: negative \\ \therefore \: x \neq \: - 1 \\ \therefore \: x = 5[/tex]

Answer:

(45,60)

Step-by-step explanation:

in a parallelogram, opposite angles are equal measure

2x-10 = y + 20

angles that lie on the same line add up to 180, since alternate angles of parallel lines and a transversal are equivalent

2x + 10 + 2x - 10 = 180

solving the equation with only Xs

4x = 180

x = 180/4 = 45

plug x = 45 into x and y equation

90-10 = y+ 20

80 = y + 20

y = 80-20 = 60

Answer:

5

Step-by-step explanation:

Answer:

y ≥ [tex]\frac{1}{3}[/tex]x - 1

Step-by-step explanation:

First, determine the slope of the line. We can see that the slope is [tex]\frac{1}{3}[/tex], because the slope has less than 1 y interval per every x interval. This means that the line is less steep. There are only 2 slope choices, [tex]\frac{1}{3}[/tex], -[tex]\frac{1}{3}\\[/tex], and 3. We can tell that the slope is positive, but it must be [tex]\frac{1}{3}\\[/tex] because it is clearly less steep than a 3 slope line.

Now, look at the portion that is shaded. It is above the line, and this means that y is greater than the equation given. We can tell it is greater than or equal to, because the line that represents the equation is shaded as well. If it was only greater than and not equal to, the line would not be shaded.

Hope this helps ! :) Please feel free to ask me any questions!

Answer:

The answer is 88.

Step-by-step explanation:

68+81+74+89+x/5=80

312+x/5=80

312+x=80*5

312+x=400

x=400-312

x=88

Answer:

88

Step-by-step explanation:

The mean is the total sum of all the marks divided by how many there are.

68+81+74+89=312 Total of 4 tests

80×5 = 400 Total marks on 5 tests

400-312 = 88 Total marks on 5 tests - Total marks on 4 tests = 1 test

68+81+74+89+88 = 400

Answer:

The total payment is $162.00

Step-by-step explanation:

Take the number of shares time the amount per share

300 * .54

162

The total payment is $162.00

Answer:

78 inches.

Step-by-step explanation:

By definition, a foot is equal to 12 inches. That is modeled by the equation you wrote, y = 12x, where x is the amount of feet.

Substitute 6.5 for x. y = 12*6.5 = 78 inches.

I hope this helps!

Answer:

D.

Step-by-step explanation:

(-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

A relation is a function if it has only One y-value for each x-value.

The function y = f(x) = x/2 + 8 is a linear function with slope 1/2 and y-intercept 8.

As x varies from negative infinity to positive infinity, the value of f(x) also varies from negative infinity to positive infinity.

Therefore, the range of the function is all real numbers, that is:

y ∈ (-∞, ∞)

In interval notation, this can be written as (-∞, ∞)

Hence, (-∞, ∞) is the range of the function y = f(x) = x/2 + 8.

To learn more on Functions click:

https://brainly.com/question/21145944

#SPJ7

Answer:

Not a Proportional Relationship ; No Constant of Proportionality

Step-by-step explanation:

Consider the first example, 4 hours of parking costs $ 10. From this we can derive the ratio 4 : 10, so that hours parked : fee for parking is a common ratio among the two examples, the other being 5 : 12;

[tex]4 : 10, Simplify\\2 : 5, Take As Fraction,\\Solution; 2 / 5ths\\[/tex]

[tex]5 : 12, Simplify\\( Can't Be Simplified Further ) - Take as Fraction,\\Solution; 5 / 12ths[/tex]

Considering that the fractions when compared are not similar, ( 2 / 5, and 5 / 12 ) they don't have a proportional relationship, and thus have no constant of proportionality

Solution; Not a Proportional Relationship

Answer: It starts at 2.5, and ends at 8.5.

Step-by-step explanation:

Answer:

range = 6

Step-by-step explanation:

The range = maximum value - minimum value

maximum value = 8.5 and minimum value = 2.5 ( indicated by the dots )

range = 8.5 - 2.5 = 6

Answer:

(x+2)^2=6(y-1/2)

Step-by-step explanation:

Answer:

y

Step-by-step explanation:

Associative property is when we change the order of the bracket / can solve any order

So 1/3(3y)

= (1/3x 3)y

= 3/3y

= 1y or simply y

Answer:

150

Step-by-step explanation:

As the ratio is 5:3 ,

Number of boys / number of girls = 5 / 3

250 / number of girls = 5 / 3

Number of girls = 250 × 3/5

Number of girls = 150

Answer:

Triangle

Step-by-step explanation:

Pls mark as brainliest

Answer:

triangle

Step-by-step explanation:

The rectangle and arrow both have right angles, so they are crossed out. The pentagon has obtuse angles, so it is also not the answer

Answer:

Variables

Any lowercase letter may be used as a variable.

Exponents

Exponents are supported on variables using the ^ (caret) symbol. For example, to express x2, enter x^2. Note: exponents must be positive integers, no negatives, decimals, or variables. Exponents may not currently be placed on numbers, brackets, or parentheses.

Parentheses and Brackets

Parentheses ( ) and brackets [ ] may be used to group terms as in a standard equation or expression.

Multiplication, Addition, and Subtraction

For addition and subtraction, use the standard + and - symbols respectively. For multiplication, use the * symbol. A * symbol is not necessary when multiplying a number by a variable. For instance: 2 * x can also be entered as 2x. Similarly, 2 * (x + 5) can also be entered as 2(x + 5); 2x * (5) can be entered as 2x(5). The * is also optional when multiplying with parentheses, example: (x + 1)(x - 1).

Order of Operations

The calculator follows the standard order of operations taught by most algebra books - Parentheses, Exponents, Multiplication and Division, Addition and Subtraction. The only exception is that division is not currently supported; attempts to use the / symbol will result in an error.

Division, Square Root, Radicals, Fractions

The above features are not supported.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

its not too complicated, look

to get from 2 to 5 u gotta multiply by 2

so C is saying that Y equals 2 times X which would be: 4 equals 2 times 2

Or 12 equals 2 times 6

Answer:

C

Step-by-step explanation:

Rise over run is [tex]\frac{12-4}{6-2} = \frac{8}{4}=2[/tex]

so y=2x

Answer:

79 degrees.

Step-by-step explanation:

It is just a rule of trigonometry that all the angles inside ANY triangle will add up to 180 degrees.

There's only 3 possible angles in a triangle, so if you know what the sum of 2 are, its easy to find the last one.

All you have to do is 180 - 101, which equals 79 degrees.

Hope this helped : )

Answer:

D: $1,858.08

Step-by-step explanation:

if u add $1,329.64 and $528.44 then you get $1,858.08

Answer:

Answer A

Step-by-step explanation:

16 / 4 = 4

36 / 9 = 4

64 / 16 = 4

Note that the symbol / is the equivalent of the division sign in math.

Answer:

A <3

Step-by-step explanation:

Answer:

20%

Step-by-step

60/x%=12

12 is 1/5 of 60

1/5=20%

Answer:

h(-2) = 1

Step-by-step explanation:

h(t)=t^2+2t+1

h(-2) = (-2)^2 +2(-2) +1

       = 4 -4 +1

      = 1

Answer:

-12

Step-by-step explanation:

Answer: 5,559.89 kilograms

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Mass = π/4 (diameter) ^2 (height) (density)

Replacing with the values given and solving for M (mass)

M = π/4 (0.52) ^2 (34) (770) = 5,559.89 kg.

The mass of the trunk is 5,559.89 kilograms

Feel free to ask for more if needed or if you did not understand something.

Answer:

c. the dangerous and aggressive expansion of totalitarian nation

Step-by-step explanation:

Answer:

Oscar walked at the same rate for distance D =  10.5 miles.

He  completed his walk in time T = 3 hours.

=>Oscar's rate, in miles per hour, during his walk:

R = D/T = 10.5/3 = 3.5 (mile/hour)

Hope this helps!

:)