Which graph shows the solution to the inequality -3x-7 <20?

Answer:

- 5 < x < 10

Step-by-step explanation:

Given

- 6 < x - 1 < 9 ( add 1 to each of the 3 intervals )

- 5 < x < 10

The value of x ranges from -5 to 10 as this inequality - 5 < x < 10.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given inequality is -6 < x-1 < 9. The value of x will be calculated as,

x- 1 < 9

x < 10

x- 1 > -6

x > 1 - 6

x > -5

Therefore, the value of x ranges from -5 to 10 as this inequality - 5 < x < 10.

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Answer:

[tex]\$158,400[/tex]

Step-by-step explanation:

step 1

Find the area of the warehouse

[tex]A=(40)(22)=880\ ft^{2}[/tex]

step 2

Remember that one year is equal to 12 months

step 3

Find the cost to rent the warehouse for a year

Multiply the area by $15 per square foot per month and then multiply by 12 months

so

[tex]880(15)(12)=\$158,400[/tex]

Answer:

158,400

Step-by-step explanation:

Answer:

0.5

Step-by-step explanation:

The required simplified value of a is 1/2 .

Given that,
3 +0.5(4a + 8) = 9 – 2a
The simplified value of a is to be determined.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
3 +0.5(4a + 8) = 9 – 2a
3 + 0.5*4a + 0.5*8 =9 - 2a
3 + 2a + 4 = 9 - 2a
7 - 9 = - 4a
a = 1 / 2

Thus, the required simplified value of a is 1/2.

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Plug in values.

xy=

6(3) =

18 = Answer

Answer:

The correct answer will be "588 square centimeters"

Step-by-step explanation:

The answer would be 588 squared cm because the area of a triangle is 1/2(base*height).

and The base is 42 cm and the height is 28 cm.

588 square centimeters is the correct answer !

Answer:

C) 588

Step-by-step explanation:

A= 1/2 b*h

First you need to find the base and height

Which is 42 and 28

42*28=1176

1176/2= 588

Answer:

[tex](x-5)(x+4)[/tex]

Step-by-step explanation:

We have the following quadratic equation

[tex]a^2-a-20[/tex]

The factored expression will have the following form

[tex](x+b)(x+c)[/tex]

Where b and c are two real numbers which when added together result in -1, and multiplying them results in -20

[tex]b*c=-20\\b+c=-1[/tex]

You can verify that the numbers that meet this condition are:

-5 and 4

Then the factors are:

[tex](x-5)(x+4)[/tex]

Answer:

l = [tex]\frac{P}{2}[/tex] - w

Step-by-step explanation:

P = 2l + 2w

2l = P - 2w

l = [tex]\frac{P}{2}[/tex] - w

Answer:

ill just cut to the chase it is c

Step-by-step explanation:

Answer:

b.Yes, because if you substitute 10 for r in the equation and simplify, you find that the equation is true.

Step-by-step explanation:

did the test

Answer: y= -2x+2

Step-by-step explanation: y-y₁=m(x-x₁)

y-(-6)= -2(x-4)

y+6=-2x+8

y=-2x+8-6

y= -2x+2

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

[tex]y-y_1=m(x-x_1)[/tex]

m - slope

We have the slope m = -2 and the point (4, -6). Substitute:

[tex]y-(-6)=-2(x-4)\\\\y+6=-2(x-4)[/tex]

Answer:

- 5x² - 11x + 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= - 4x² - 6x - 1 + (- x² - 5x + 3)

= - 4x² - 6x - 1 - x² - 5x + 3 ← collect like terms

= - 5x² - 11x + 2

Answer:

   -5x^2 -11x +2

Step-by-step explanation:

f(x) = -4x^2 - 6x-1

g(x) = – x^2 - 5x + 3,

Add them together

f(x) =     -4x^2 - 6x-1

+ g(x) = – x^2 - 5x + 3,

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

        -5x^2 -11x +2

Answer:

See attached images

Step-by-step explanation:

The expression of your question is

f(x) = 2x^2+8x-7

A full analysis of the function is shown in the images below

Answer:

[tex]\large\boxed{f^{-1}(x)=\dfrac{1}{2}x-\dfrac{1}{2}}[/tex]

Step-by-step explanation:

[tex]f(x)=2x+1\to y=2x+1\\\\\text{exchange x to y and vice versa:}\\\\x=2y+1\\\\\text{solve for y:}\\\\2y+1=x\qquad\text{subtract 1 from both sides}\\\\2y=x-1\qquad\text{divide both sides by 2}\\\\y=\dfrac{x-1}{2}=\dfrac{1}{2}x-\dfrac{1}{2}[/tex]

Answer:

97.79

Step-by-step explanation:

1062.98 * 0.092 = 97.79416

To the nearest hundredth would be to the second 9. Since 4 is less than 5 just drop the 4 and anything after it.

Answer:

[tex]\frac{30}{3x}[/tex]

Step-by-step explanation:

Let

x ----> the number

we know that

The phrase " The quotient of 30 and three times a number" is equal to divide the number 30 by the number x multiplied by 3

so

The algebraic expression is equal to

[tex]\frac{30}{3x}[/tex]

To simplify an expression you need to combine like terms.

In  the given equation, there are two like terms, 5r and 9r.

There is a plus sing in front of each one, so add those together: 5r + 9r = 14r

There are no ther like terms so the simplified expresssion becomes:

8w + 14r - t

Answer:15

Step-by-step explanation:

Answer:  The radius of the given circle is 4 units.

Step-by-step explanation:  We are given to find the radius of the circle with the following equation :

[tex]x^2+y^2-10x+6y+18=0~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We know that

the standard equation of a circle with center at the point (h, k) and radius r units is given by

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

From equation (i), we have

[tex]x^2+y^2-10x+6y+18=0\\\\\Rightarrow (x^2-10x+25)+(y^2+6y+9)-25-9+18=0\\\\\Rightarrow (x-5)^2+(y+3)^2-16=0\\\\\Rightarrow (x-5)^2+(y-(-3))^2=4^2.[/tex]

Comparing it with the standard equation, the radius of the circle is given by

[tex]r=4.[/tex]

Thus, the radius of the given circle is 4 units.

Answer:

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

Step-by-step explanation:

We can easily solve this problem if we plot each graph by using a graphing calculator or any plotting tool.

1st function

f(x) = 10x

2nd function

g(x) = 5^x

3rd function

h(x) = 4x^2 + 5x

Please, see attached graph.

A.

As x approaches positive infinity, the quadratic function will exceed both the linear and exponential functions. FALSE

B.

As x approaches positive infinity, the exponential function will exceed both the linear and quadratic functions. TRUE (Exponential functions increase faster than linear or quadratic)

C.

As x approaches positive infinity, the linear function will exceed both the quadratic and exponential functions.FALSE

D.

As x approaches positive infinity, it cannot be determined which function will exceed the other two.FALSE

Answer:

b

Step-by-step explanation:

just look up

Answer:

slope = 2

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (10, 14) and (x₂, y₂ ) = (2, - 2)

m = [tex]\frac{-2-14}{2-10}[/tex] = [tex]\frac{-16}{-8}[/tex] = 2

Answer:

slope =2

Step-by-step explanation:

To find the slope, we use the formula

m = (y2-y1)/(x2-x1)

    = (-2-14)/(2-10)

    = -16/-8

    =2

Answer: I believe nine

Step-by-step explanation: If one and 11 stay in the same place then it would start as 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11. then it would be 1, 10, 2, 3, 4, 5, 6, 7, 8, 9, 11. then 1, 9, 10, 2, 3, 4, 5, 6, 7, 8,11 and so one.

Answer:

58%

Step-by-step explanation:

The change between 12 to 19 is 7

The percentage of change is calculated by dividing 7 by 12 and multiplying it by 100%

7/12*100

=58.3333333%

=58%(rounded to nearest percent)

58% increase

Percent change = 19 - 1212 × 100 = 58.333333333333 % (increase) Where: 12 and 19 is the new value. In this case we have % of increase because the new value is greater than the old value.

Percent change differs by the percent increase or percent decrease of the sense that we could see both directions of the change. For example, the percent increase calculator calculates amount of increase, in which we shall say, "x percent increase".

The change between 12 to 19 is 7

The percentage of change is calculated by dividing 7 by 12 and multiplying it by 100%

7/12*100

=58.3333333%

=58%(rounded to nearest percent)

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Answer:

The value of x=6 and y=4.

Answer:

(6, 4 )

Step-by-step explanation:

Given the 2 equations

4x - 3y = 12 → (1)

x + 2y = 14 → (2)

Multiplying (2) by - 4 and adding to (1) will eliminate the y- term

- 4x - 8y = - 56 → (3)

Add (1) and (3) term by term

(4x - 4x) + (- 3y - 8y) = (12 - 56) ← simplify

- 11y = - 44 ( divide both sides by - 11 )

y = 4

Substitute y = 4 into either (1) or (2)

(2 ) : x + 8 = 14 ( subtract 8 from both sides )

x = 6

Solution is (6, 4 )

Answer:

The missing number (i.e. the coefficient of x) is 5.

Step-by-step explanation:

5x - 8 - 9x = -4x + 8

-4x - 8 = -4x + 8

-8 ≠ 8

Answer:

[tex]2\frac{2}{9} hrs[/tex]

Step-by-step explanation:

At a speed of 50m/h time taken is 2hours

At a speed of 45m/h time take is 2.5 hours

You can find the distance between A and B

Distance=speed × time

[tex]D=50*2=100\\[/tex]

But time y varies inversely with speed x , hence

[tex]y=\frac{k}{x}[/tex]

where k is a constant of proportionality and D is distance.

To find k

[tex]2=\frac{k}{50} \\\\2*50=k\\\\100=k\\\\y=\frac{100}{x}[/tex]

where y is time and x is speed

Given

x=45m/h  you should find time y. Apply the expression above

[tex]y=\frac{100}{x} \\\\\\y=\frac{100}{45} =\frac{20}{9} =2\frac{2}{9} hrs[/tex]

Answer:

The Answer is 9

Step-by-step explanation:

To find the answer you divide 63 by 7.

[tex]7m=63\\m=9[/tex]

Answer:

4(x-7)^2 - 19

Step-by-step explanation:

Shifting 7 units to the right:  4(x-7)^2 - 16.

3 units down:                         4(x-7)^2 - 16 - 3, or    4(x-7)^2 - 19

Answer:

Option B: [tex]\frac{5+a}{a-1}[/tex]

Step-by-step explanation:

Given function is:

[tex]f(x) = \frac{3+x}{x-3}[/tex]

In order to find f(a+2), we have to put a=2 in place of x in the function

So,

[tex]f(a+2) = \frac{3 + (a+2)}{(a+2)-3}\\ =\frac{3+a+2}{a+2-3}\\ = \frac{5+a}{a-1}[/tex]

Hence, we can see that option b is correct ..

Answer:

False

Step-by-step explanation:

Vertical angles are a pair of opposite angles created by intersecting lines. The Vertical Angles Theorem states that if two angles are vertical, then they are congruent.

Answer:

False.

Step-by-step explanation:

Supplementary angles always equal up to 180 degrees.

Answer: C is correct, No solution

Step-by-step explanation:

Let’s simplify the second equation,

8x-4y=-20

We can divide the whole equation by 4...

8x/4-4y/4=-20/4

Which becomes....

2x-y=-5

Now let’s move things around to see if it’s the same equation as the one on top...

-y=-2x-5

y=2x+5

Now we need to solve the systems...

y=2x-5

y=2x+5

Since their slopes are both 2 and their y-intercepts are not identical, the answer is no solution. The two lines will continue on without ever crossing because they have the same slope.

The solution set for the given system of linear equations is -

(2.5, 0).

A function is a relation between a dependent and independent variable. We can write the examples of function as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to find the number of solutions that the given linear system of equations have -

y = 2x - 5

- 8x - 4y = -20

We will solve the given system of equations using the method of substitution. We can write -

y = 2x - 5

- 8x - 4y = - 20

- 8x + 20 = 4y

y = - 2x + 5

Now -

2x - 5 = - 2x + 5

4x = 10

x = 2.5

and -

y = 2 x 2.5 - 5

y = 0

Therefore, the solution set for the given system of linear equations is -

(2.5, 0).

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B 1/3

Ratio of AB:BC

3 : 9

1 : 3