What is the rate of change (slope) of the function?
X
y
-2
+1
-1
+2
+3
1
+4
2
+5
02

Answer:

[tex]71^{\circ}[/tex]

Step-by-step explanation:

Since two sides of the triangle are equal in length, we can conclude that [tex]\triangle WXY[/tex] is an isosceles triangle. With this information, we can draw an isosceles triangle to find [tex]m\angle W[/tex]. Since the base angles of an isosceles triangle are equal, we can solve for [tex]m\angle W[/tex]:

[tex]38 + m\angle W + m\angle Y = 180[/tex] (Angle sum of triangle is [tex]180^{\circ}[/tex])

[tex]38+2(m\angle W) = 180[/tex] (Base angles of isosceles triangles are equal, there is an image attached to show that [tex]m\angle W[/tex] is one of the base angles)

[tex]2(m\angle W) = 142[/tex]

[tex]m\angle W=71^{\circ}[/tex]

Hope this helps :)

Answer:

x=41

Step-by-step explanation:

0.25(x-13)=7

We move all terms to the left:

0.25(x-13)-(7)=0

We multiply parentheses

0.25x-3.25-7=0

We add all the numbers together, and all the variables

0.25x-10.25=0

We move all terms containing x to the left, all other terms to the right

0.25x=10.25

x=10.25/0.25

x=41

The solution to the equation; 0.25(x - 13) = 7 as given is; x = 41

According to the question;

The solution to the given equation can be evaluated as follows;

x = 41.

Read more on one variable equation;

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                                            Question 9)

From the line graph, taking two points

Finding the slope between  (-5, 4)  and (-6, 7)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(-5,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:7\right)[/tex]

[tex]m=\frac{7-4}{-6-\left(-5\right)}[/tex]

[tex]m=-3[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (-5, 4) and m = -3 in the slope-intercept of the line

y = mx+b

4 = -3(-5)+b

4 = 15+b

b = 4-15

b = -11

substituting b = -10 and m = -3 in the slope-intercept of the line

y = mx+b

y = -3x+(-11)

y = -3x - 11

Thus, equation is slope-intercept form will be:

y = -3x - 11

Hence, option B is true.

                                                Question 10)

From the line graph, taking two points

Finding the slope between  (4, 7)   and (-8, 1)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(4,\:7\right),\:\left(x_2,\:y_2\right)=\left(-8,\:1\right)[/tex]

[tex]m=\frac{1-7}{-8-4}[/tex]

[tex]m=\frac{1}{2}[/tex]

We know that the slope-intercept of the line equation is

y = mx+b

where m is the slope and b is the y-intercept

substituting (4, 7) and m = 1/2 in the slope-intercept of the line

y = mx+b

7 = 1/2(4)+b

7 = 2+b

b = 5

substituting b = 5 and m = 1/2 in the slope-intercept of the line

y = mx+b

y = 1/2x + 5

Thus, the equation is slope-intercept form will be:

y = 1/2x + 5

Hence, option C is true.

Answer:

Step-by-step explanation:

Answer:

7 cm

Step-by-step explanation:

Let the side of square be x.

Perimeter of square = 4x

Diameter of circle = x

Radius of circle = x/2

Circumference of circle = 2 * 22/7 * x/2 = 22/7x

According to Question,

4x + 22/7x = 100

(28+22) / 7x = 100

50x = 700

x = 14

Hence, diameter of circle = 14 cm

Radius of circle = (14/2) cm = 7 cm  

Step-by-step explanation:

Area = Length * Width = (3m)(xm) = 3xm².

Answer:

It is 40

Step-by-step explanation:

The highest common factor of 200 and 240 is 40

Answer:

The correct answer is 33/100.

Step-by-step explanation:

To transform a decimal into a fraction, follow the steps below:

Step 1: Change the Fraction into a Decimal:

3.30 = 33/100

Step 2: Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Step 3: Divide both numbers by the GCF:

3.30 =

33/1  ÷ 100/1 =

33/100

Therefore, the correct answer is 33/100.

Hope this helps! :D

3.3 repeating in fraction form will be 33/100.

The correct answer is 33/100.

Given, 3.3 in repeating form.

To transform a decimal into a fraction, follow the steps below:

Change the Fraction into a Decimal:

3.30 = 33/100

Find the GCF of both numbers:

The GCF (Greatest Common Factor) of 33 and 10 is 1.

Divide both numbers by the GCF:

3.30 = 33/1  ÷ 100/1

= 33/100

Therefore, the correct answer is 33/100.

Know more about fraction,

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Step-by-step explanation:

4 green bars to 3 red bars

=> 200 green bars to 3 * (200/4) = 150 red bars.

There are 150 red bars. (A)

Answer:

Step-by-step explanation:

A - 150 is the a answer

4 green bars for every 3 red bars, take 3 red bars as one bucket so total we have 200/4 buckets which is 50

now 1 bucket has 3 green bars so total we have 3* 50 buckets which is 150

Answer:

2.6 feet

Step-by-step explanation:

At each point, there is a loss of 20% (since it flies to 80%)

a) 8 - 20% of 8

= 8-1.6 = 6.4

b) 6.4 - 20% of 6.4

= 5.12

c) 5.12 - 20% of 5.12

4.096

d) 4.096 - 20% of 4.096

3.2768

e) 3.2768 - 20% of 3.2768

= 2.62144 feet

Answer:

4:1:3

Step-by-step explanation:

The answer of X will be equal (3)

Answer:

Hi! Is there a picture?

Step-by-step explanation:

Answer:

The area equation to solve becomes \displaystyle x(x-4)=96, or \displaystyle x^{2}-4x-96=0. To factor, find two numbers the sum to -4 and multiply to -96. -12 and 8 will work: x2 ...

Answer:

For the middle one 20 /9  or 2 and 2/9

Step-by-step explanation:

20 /9  or 2 and 2/9

Do you need help with the rest or no?

Answer:

B

Step-by-step explanation:

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

just took the quiz

Answer:

B) 4 x + (-2) = -2 x + 6

Step-by-step explanation:

Answer:

$14.53 for 3.5 pounds of red snapper

Step-by-step explanation:

Answer:

14.52?

Step-by-step explanation:

i multiplied 4.15 by 3.5

Answer:

[tex]a.\ Probability = 0.426[/tex]

[tex]b.\ Probability = 0.574[/tex]

Step-by-step explanation:

Given

[tex]Total\ Families = 1000[/tex]

Number of Girls :      0 ---->  1 -----> 2   ------->3

Number of Families: 112 -> 314 --> 382 ---> 192

Solving (a): At most one girl

From the table, the number of families with at most one girl is: 112 + 314

i.e.

Number of Girls :      0 ---->  1

Number of Families: 112 -> 314

So, we have:

[tex]At\ Most\ One\ Girl = 112 + 314[/tex]

[tex]At\ Most\ One\ Girl = 426[/tex]

The probability is then calculated as:

[tex]Probability = \frac{At\ Most\ One\ Girl}{Total}[/tex]

[tex]Probability = \frac{426}{1000}[/tex]

[tex]Probability = 0.426[/tex]

Solving (b): More girls

From the table, the number of families with more girl is: 382 + 192

i.e.

Number of Girls :      -----> 2   ------->3

Number of Families: --> 382 ---> 192

So, we have:

[tex]More\ Girls = 382 + 192[/tex]

[tex]More\ Girls = 574[/tex]

The probability is then calculated as:

[tex]Probability = \frac{More\ Girls}{Total}[/tex]

[tex]Probability = \frac{574}{1000}[/tex]

[tex]Probability = 0.574[/tex]

Answer:

The two planes have traveled the same distance.

Step-by-step explanation:

Given that:

Velocity of first plane traveling north = 100 km/h

Time taken by the plane = 2.5 hours

Velocity of second plane traveling north = 62.5 km/h

Time taken by the plane = 4 hours

To find:

Which plane traveled longer distance?

Solution:

First of all, let us have a look at the formula for finding the distance using velocity and time.

Formula is:

[tex]Distance = Velocity \times Time[/tex]

Distance traveled by first plane:

[tex]Distance_1 = 100\times 2.5\\\Rightarrow Distance_1 = 250 \ km[/tex]

Distance traveled by second plane:

[tex]Distance_2 = 62.5\times 4\\\Rightarrow Distance_2 = 250 \ km[/tex]

Here, we can clearly see that:

[tex]Distance _1 = Distance _2[/tex]

Therefore, the two planes have traveled the same distance.

Answer: 46

Step-by-step explanation:

Just got it on a test so I wanted to help you guys out. Thank you guys in the comment section of the other answer. That one is wrong.

Answer: We assume that the number of cakes baked varies directly with the number of hours. Hence, he can bake 9 cakes in 7.5 hours.

Step-by-step explanation:

Answer:

x=24 degrees

Step-by-step explanation:

2x-4=44  <----The triangle is isosceles, in which the two base angles are equal

2x=48  <-----Solve the equation

x=24 <-------Answer

Answer:

y - 9 = 3/10(x - 8)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Point-Slope Form: y - y₁ = m(x - x₁)  

Step-by-step explanation:

Step 1: Define

Point (-2, 6)

Point (8, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Step 3: Write Function

Plug in variables into general form.

y - 9 = 3/10(x - 8)

y - 6 = 3/10(x + 2)

Answer:

is this how the question is really wrote out. it doesn't look like english

Step-by-step explanation:

half of 9 is 4.5

Answer: i think its c

hope its right

:)

Answer:

A?

Step-by-step explanation:

I think it is A but I'm not 100% sure

Answer:

The total cost of riding in the taxi

Step-by-step explanation:

Answer:

9:7

Step-by-step explanation:

number of boys is 32 - 18 = 14

ratio will be 18:14

then 9:7

Answer: 9:7 hope this help i did the quiz so i know answer

Step-by-step explanation: