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Answer:

[tex] \frac{x - 4}{x - 7} [/tex]

Step-by-step explanation:

[tex] \frac{ {x}^{2} + 2x - 24 }{ {x}^{2} - x - 42 } \\ \frac{(x + 6) (x - 4)}{(x - 7)(x + 6)} \:the \: term \: will \: be \: simplified (x + 6) \\ and \: we \: will \: be \: left \: with \: \frac{x - 4}{x - 7} [/tex]

Answer:

Step-by-step explanation:

x² + 2x - 24 = x² + 6x  - 4x - 4 * 6

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

                   = (x + 6) (x - 4)

x² - x - 42 = x² -7x + 6x - 6 * 7

                = x(x - 7) + 6(x - 7)

               =  (x - 7) (x + 6)

[tex]\frac{x^{2}+2x-24}{x^{2}-x-42}=\frac{(x + 6)*(x-4)}{(x+6)(x-7)}\\\\\\=\frac{x-4}{x-7}[/tex]

Answer: 4 units

Step-by-step explanation:

The side that is opposite of B would be the side that is across from B

3 is across from A

5 is across from C

4 is across from B

The question is an illustration of right triangles

The length of the side opposite angle B is 4 units

From the figure, we can see that the triangle is a right triangle, with the following angles

Angle B

Angle A

Angle C

The triangle is right-angled at angle C.

From the figure, the length opposite angle B is length AC.

Where

AC = 4

Hence, the length of the side opposite angle B is 4 units

Read more about isosceles right triangle at:

https://brainly.com/question/20447308

Answer:

See below;

Step-by-step explanation:

21 . Consider an exponential function;

[tex]Exponential Function in Form - y = a * b^x, where, a - start value, b - growth factor, x - time,\\\\Now y = f ( x ), in Other Words,\\p ( t ) = 300 * ( 0.5 )^t - Given,\\\\Through Substitution - f ( x ) = p ( t ), a = 300, b = 0.5, x = t,\\\\Conclusion ; 300 - ( start value ) - Starting Amount of Milligrams of Compound,\\0.5 - Milligrams Compound Decreases by[/tex]

Solution; Provided Directly Above

Answer:

No

Step-by-step explanation:

No, they are not because ray AB starts at point A and continues forever while ray BA does the opposite, it starts at point B and continues forever.

Answer:

twetwe. eet   wvjhcjh

Step-by-step explanation:

wetwetwet wte ucytc

Answer:

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4

y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form

with slope m = [tex]\frac{5}{4}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus

y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]

y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line

Answer:

X= -5

Step-by-step explanation:

Replace the g(x) with 16.

16= -3x +1

Move -3x on other side.

3x+16=1

Subtract one from both sides.

3x= -15

Divide both sides by 3 to get x by itself.

x= -5

Answer:

-2

-1

Step-by-step explanation:

The y-intercept is the point on the y-axis intersected by the graph.

y-intercept is -2

The x-intercept is the point on the x-axis intersected by the graph.

x-intercept is -1

Answer:

see below

Step-by-step explanation:

The x intercept is where it crosses the x axis

It crosses at x = -1

(-1,0)

The y intercept is where it crosses the y axis

It crosses at y = -2

(0,-2)

Answer:

B 50˚

Step-by-step explanation:

What you want to do is to find all other measures and subtract them from 360, or find all measures to the left of BE, and subtract from 180.

You can find mCE easily: since the measure of an arc is twice the measure of its corresponding angle (as long as that angle is not a central angle), mCE = 2(25), or 50˚.

mDE equals 100˚. This is because it and arc BD are the only arcs right of BE, the diameter, meaning they, together, must equal half the circle. Since half a circle = 180˚,

180˚=80˚+x

x=180-80

x=100

Now, you can solve:

Method 1:

360˚=80˚+80˚+50˚+100˚+x

360-80-80-50-100=x

x=50˚

Method 2:

180˚=80˚+50˚+x

x=180-80-50

x=50˚

This corresponds to answer choice B.

Answer:

B.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Number 4

Step-by-step explanation:

Angle CBE is the same thing as angle EBC. The only thing that matters when you're talking about ONE angle is the middle letter.

Answer:

It is number four: ∠CBE

Answer:

[tex]=-\left(3x-1\right)\left(x-3\right)[/tex]

Step-by-step explanation:

[tex]10x-3-3x^2\\\mathrm{Factor\:out\:common\:term\:}-1\\=-\left(3x^2-10x+3\right)\\\mathrm{Factor}\:3x^2-10x+3:\quad \left(3x-1\right)\left(x-3\right)\\3x^2-10x+3\\\mathrm{Write\:in\:the\:standard\:form}\:ax^2+bx+c\\=3x^2-10x+3\\\mathrm{Break\:the\:expression\:into\:groups}\\=\left(3x^2-x\right)+\left(-9x+3\right)\\\mathrm{Factor\:out\:}x\mathrm{\:from\:}3x^2-x\mathrm{:\quad }x\left(3x-1\right)\\3x^2-x\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{b+c}=a^ba^c\\x^2=xx\\=3xx-x[/tex]

[tex]\mathrm{Factor\:out\:common\:term\:}x\\=x\left(3x-1\right)\\\mathrm{Factor\:out\:}-3\mathrm{\:from\:}-9x+3\mathrm{:\quad }-3\left(3x-1\right)\\-9x+3\\\mathrm{Rewrite\:}9\mathrm{\:as\:}3\cdot \:3\\=-3\cdot \:3x+3\\\mathrm{Factor\:out\:common\:term\:}-3\\=-3\left(3x-1\right)\\=x\left(3x-1\right)-3\left(3x-1\right)\\\mathrm{Factor\:out\:common\:term\:}3x-1\\=\left(3x-1\right)\left(x-3\right)\\=-\left(3x-1\right)\left(x-3\right)[/tex]

Answer:

38 feet

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

There are a total of 380+240+110 people. (730)

0.52 are in stage 3.

0.33 in stage 2.

0.15 in stage 1.

52 people from stage 3 should be in the group.

Answer:

total cup = 32

1 student = 1/2 cup

find remaining cup = y

*we don't know how many students are there, so we just let it be x .

remaining cup = total cup - cup drank by students

y = 32 - 1/2x

y = -1/2x + 32 ( option c )

why 1/2x ? because we don't know how many students drank the juice, so we just let it be x .

Answer:

S= 5, L= 12

Step-by-step explanation:

To find the value of L and S, we need to first label the 2 equations.

L +S= 17 -----(1)

3L +2S= 46 -----(2)

From (1):

L= 17 -S -----(3) (-S on both sides)

Subst. (3) into (2):

3(17-S) +2S= 46

3(17) -3S +2S= 46 (expand)

51 -S= 46

-S= 46 -51 (-51 on both sides)

-S= -5

S= 5 (divide by -1 throughout)

Subst. S=5 into (3):

L= 17 -5

L= 12

Answer:

10% = 1/10

20% = 1/5

100% = 3/3

75% = 3/4

Step-by-step explanation:

Answer:

Awnser is down below

Step-by-step explanation:

75= 3/4

20= 1/5

10 = 1/10

100= 3/3

Hope this helps :)

Answer: Garden = 36 ft², Path = 64 ft²

Step-by-step explanation:

Path is 3 ft wide ON EACH SIDE of the garden

Garden + 2(Path) = 10 ft   --> Garden = 6 ft wide.

Since the garden is a square, Area = 6² = 36

Garden + 2(Path) = 10 ft

Since the Garden + Path form a square, Area = 10² = 100

Area of Garden + Area of Path = Total Area

         36             + Area of Path =      100

                              Area of Path =      64

Answer:

x = 32

Step-by-step explanation:

Three angles have been shown in the figure which are located at a point of a straight line.

By the property of angles on a straight line,

Sum of the angles shown = 180°

(3x - 20)° + 30°+ (2x + 10)° = 180°

(3x + 2x) + ( -20 + 30 + 10) = 180

5x + 20 = 180

5x = 180 - 20

5x = 160

x = [tex]\frac{160}{5}[/tex]

x = 32

Therefore, x = 32 will be the answer.

Answer:

[tex]x = 32 \: \: degrees[/tex]

Step-by-step explanation:

Angels in a straight line =180°

[tex]3x - 20 + 30 + 2x + 10 = 180 \\ 5x + 20 = 180 \\ 5 x = 180 - 20 \\ 5x = 160 \\ \frac{5x}{5} = \frac{160}{5} \\ x = 32[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex](4x - 3)(x - 2) = 0[/tex]

Last answer is correct

Step-by-step explanation:

[tex]4 {x}^{2} - 11x + 6 = 0 \\ 4 {x}^{2} - 8x - 3x + 6 = 0 \\ 4x(x - 2) - 3(x - 2) = 0 \\ (4x - 3)(x - 2) = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

How to solve this:

1:     7200/24 = x/1

2:    7200/24 = 300/1

3:     300 L of blood per hour

We know that an average is 7200 for heart pumps so we divide 7200 by 24 hours = x/1  

Second step is the same 7200 divided by 24 = 300/1

So the correct answer is 300. 300 L of blood per hour.

Answer: 300 L of blood per hour.

Please mark me brainliest.

Hope this helps.

The rate of change in the volume of blood is 300 liters per hour.

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

The volume of blood pumped by the teenager's heart is expressed as a rate of change in volume per hour.

Rate of change of volume of blood = volume of blood/time

= 7200 L /24

Apply the division operation, and we get

= 300 L/hour

The teenager's heart changes blood volume at a pace of 300 liters per hour. This means that his or her heart is pumping 300 liters of blood every hour.

To learn more about the rate click here :

https://brainly.com/question/12786410

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The right answer is -8/3

please see the attached picture for full solution

hope it helps

Answer:

[tex]slope = \frac{8}{ - 3} [/tex]

Step-by-step explanation:

[tex](4 \: \: \: ,\: \: 18) = > (x1 \: \: ,\: \: y1) \\ (7 \: , \: \: \: \: \: 10) = > (x2 \: \: \: ,\: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{18 - 10}{4 - 7} \\ = \frac{8}{ - 3} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

[tex]y - 5 = -4(x-5)[/tex]

Step-by-step explanation:

Given

Line coordinates: (5,5)

Perpendicular slope = [tex]\frac{1}{4}[/tex]

Required

Find the point slope form of the line

First, the slope of the line has t be calculated;

Given that two lines are perpendicular;

The relationship between there slopes is given as [tex]m_1.m_2 = -1[/tex]

Let m_2 represent the slope of the second line;

such that [tex]m_2 = \frac{1}{4}[/tex]

So;

[tex]m_1 * \frac{1}{4} = -1[/tex]

Multiply both sides by 4

[tex]m_1 * \frac{1}{4} * 4 = -1 * 4[/tex]

[tex]m_1 = -1 * 4[/tex]

[tex]m_1 = -4[/tex]

Now, the equation of the line can be calculated using slope formula;

[tex]m = \frac{y - y_1}{x- x_1}[/tex]

Where

[tex](x_1,y_1) = (5,5)\\m_1 =m = -4[/tex]

So; [tex]m = \frac{y - y_1}{x- x_1}[/tex] becomes

[tex]-4 = \frac{y - 5}{x- 5}[/tex]

Multiply both sides by x - 5

[tex]-4(x-5) = \frac{y - 5}{x- 5} * (x-5)[/tex]

[tex]-4(x-5) = y - 5[/tex]

Reorder

[tex]y - 5 = -4(x-5)[/tex]

Hence, the line in point-slope form is [tex]y - 5 = -4(x-5)[/tex]

Answer:

-3

Step-by-step explanation:

Because when y is 4, x is 4/-2 = -2

So when y is 6,

x= 6/-2

= -3

Answer: The length is 18 feet.

Step-by-step explanation:

4 * 9 * l = 648   where l is the length in feet.

36 * l = 648

36l = 648

l = 18

Answer: Holy is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

holly is not correct

Step-by-step explanation:

Rational numbers is a decimal number must terminate or repeat. However in this case this number is irational. This is because there is a continues pattern of 1's and 3's

Answer:

6p^5 q^3

Step-by-step explanation:

download the app cymath for these types of questions

this (^) means exponents

-----

Number 5:

2p^2qx3p^3q^2

Take out the constants (2x3)p^2p^3qq^2

Simplify 2x3 to 6, 6p^2p^3qq^2

6p^2+^3q^1+^2

simplify 2+3 to 5, 6p^5q^1+^2

simplify 1+2 to 3

6p^5 q^3