if AC equals x + 3 and DB equals 3x - 19 find a CFA E equals 3x + 3 + E C equals 5x - 15 find a c d equals 50x - 7 + 80 equals 4x + 9 find DB

it is a parabolla because only variable is quadratic and the other is linear.

There is no proof because X ≠ -15 when 3/5 x = 9

Multiplication is defined as one of the basic arithmetic operations that is used for the repeated addition of similar figures together.

From the given expression,

3/5x = 9

But X= -15

Substitute X = -15 into the given expression;

That is,

3/5 * -15 = 9

-45/5= 9

-9 = 9

Therefore, there is no proof that in the expression 3/5 x = 9, X ≠ -15 because the final answer is -9 and not ,9.

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Given the inequality:

If we add 2 on both sides, the inequality remains the same and we get:

Recall that the domain of a rational function consists of all the real numbers x except those for which the denominator is 0.

The denominator of the given rational function is:

Notice that:

Therefore d(x)=0 at x=-9 and x=-2, then those values are not in the domain of g.

Answer:

The area of the octagon shaped stop sign = areas of the 4 rectangles + 4 triangles + square = 478 in.².

If the octagon can be decomposed into 4 identical triangles, 4 identical rectangles, and a square, the following are the dimensions of each of the shapes given:

Height of the triangle = (24 - 10)/2 = 7 in.

Base of the triangle = 7 in.

Side length of the square = 10 in.

Length of rectangle = 10 in.

Width of rectangle = 7 in.

The area of the octagon shaped stop sign = 4(1/2 × base × height) + 4(length × width) + (side length)²

Substitute the values into the equation

The area of the octagon shaped stop sign = 4(1/2 × 7 × 7) + 4(10 × 7) + (10)²

The area of the octagon shaped stop sign = 478 in.².

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Given the equation of the line:

The given equation as the slope-intercept form: y = m * x + b

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

the y-intercept is the value of y when x = 0

By comparing the given equation with the slope-intercept form

So,

The slope = m = -2

The y-intercept = b = -1

the point of y-intercept = ( 0, -1 )

Question 2

[tex]23=p \cdot 250[/tex]

Question 3

[tex]p=\frac{23}{250}=0.092[/tex]

SOLUTION

The range of the function is given as:

The asymptote of the function is at points

The function is shown in the graph below

Therefore, the equation of the session is

-1 ≤x-3>7

So:

-1≤x-3

x-3>7

Solve each

-1≤x-3

Add 3 to both sides:

-1+3≤x-3+3

2≤x

x-3>7

add 3 to both sides:

x-3+3>7+3

x>10

Solution:

2≤x or >10

Answer:

Explanation:

First, we identify the main components:

• Principal = $15,000

• Rate = 8% =0.08

• Time = 6 years

The circles in option B and D has their centers in the second quadrant

Here, we want to know which of the circles have their centers in the second quadrant

Generally, the equation of a circle can be represented as;

where (h,k) represents the center of the circle

Now, let us get the center of each of the circles;

A. (4,-3)

b. (-1,7)

C.(5,6)

D. (-2,5)

The second quadrant has its coordinates in the form (-x,y)

Out of all the options, the option that fits these quadrant is the second and fourth

So the circles in option B and D has its center in the second

Answer:

Answer:

Slope m= [tex]-\frac{5}{4}[/tex]

As a decimal:

m = -1.25

Step-by-step explanation:

[tex]m=\frac{Rise}{Run} =\frac{y}{x} \\m=\frac{y2-y1}{x2-x1} \\m=\frac{13--2}{-15--3} \\m=\frac{15}{-12} \\m=-\frac{5}{4}[/tex]

Natural numbers are those who you use to count elements, they are by definition positive integers.

C. is not an integer, so it is not a natural number

b. 5032, a. 1000000 and d.25 are positive integers. These are natural numbers.

A relation is a function if it has only One y-value for each x-value. Functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for  f(x)=4x²+2x-6

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

The given function is

f(x)=2x²-4x+2

Put x=2/3

f(2/3)=2(2/3)²-4(2/3)+2

=2(4/9)-8/3+2

=8/9-8/3+2

=(8-24+18)/9

f(2/3)=2/9

Now f(x)=4x²+2x-6

Put x=1/4

f(1/4)=4(1/4)²+2(1/4)-6

=4/16+2/4-6

=1/4+1/2-6

= 1+2-24/4

f(1/4)==-21/4

Hence functions f(2/3)=2/9 for f(x)=2x²-4x+2 and f(1/4)==-21/4 for  f(x)=4x²+2x-6

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Given:

g = {(-1,0), (-3,3), (-5, 6), (-7,9), (-9, 12)}

So,

To find g(-3), we need to find the term that contains -3 in the location of x of the order pair

So, g(-3) = 3

And by the same manner, we will find the others

So,

g(-9) = 12

g(-7) = 9

Answer:

C. 9⁷

Explanation:

We will use the following property of the exponents:

It means that when we have the same base, we can simplify the expression by adding the exponents. So, in this case, the equivalent expression is:

Therefore, the answer is C. 9⁷

To find:

The rate of interest.

Solution:

It is known that the rate of interest is given by:

Here. P = 60000, A = 61200, t = 2.5 and n = 12.

Change into the percentage by multiplying by 100:

Thus, the answer is 0.79% per year.

Answer:

skill issue

Step-by-step explanation:

skill issue

We can determine the strength of a correlation by A. The more closely two variables follow the general trend, the stronger the correlation (which may be positive or negative).

Correlation is a statistical term that reflects how closely two or more variables are related to one another. Correlation is measured on a scale of -1 to +1, with 0 indicating a negative correlation and > 0 indicating a positive correlation. A value of 0 implies that there is no association.

A positive correlation is a two-variable association in which both variables move in lockstep. A positive correlation exists when one variable declines while the other increases, or when one variable increases while the other falls. The number one represents a perfect positive association.

If there is an increase or decrease in one variable results in increase or decrease in the other then there is correlation. If the value of correlation is close to either extremities (+1 or +1) then there is strong correlation.

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Choose the right symbol for the following

What are Symbols?

Many operations in mathematics are carried out using mathematical symbols. Mathematical quantities are easy to refer to thanks to the symbols. It's interesting to consider how entirely dependent mathematics is on numbers and symbols. In addition to referring to various amounts, math symbols also show how two quantities relate to one another. The primary purpose of all mathematical symbols is to carry out mathematical operations under distinct conceptions.

1) 0.02 > 0.002

2) 0.05 < 0.5

3) 0.74 < 0.84

4) 0.74 > 0.084

5) 1.2 < 1.25

6) 5.130 = 5.13

7) 3.201 > 3.099

8) 0.159 < 1.590

9) 8.269 > 8.268

10) 4.60 > 4.060

11) 302.026 > 300.226

12) 0.237 > 0.223

13) 3.033 < 3.303

14) 9.074 < 9.47

15) 6.129 < 6.19

16) 567.45 > 564.75

17) 78.967 > 78.957

18) 5.346 < 5.4

19) 12.112 < 12.121

20) 26.2 = 26.200

21) 100.32 > 100.232

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Volume of the top of the prism: 460 cm^3

Volume of the bottom of the prism: 1 768 cm^3

Total volume of the figure: 2 228 cm^3

Explanation:

Volume of the top of the prism:

. Since it is a prism from trapezoid

. . Volume = Area of the trapezium base * heights between trapezium ends

Volume of the bottom prism:

. Since the price has a rectangular base:

Volume = Area of one base * height between reactangular bases

Area of one base :

Volume:

Total volume of the figure:

Volume of the top + Volume of the bottom = Total volume

NB:

To find any volume of a given prism, start with finding the area of one base, then multiply that area by the height (in other words the sides that link the two bases)

Notice that:

therefore the mistake is the last step.

Now, all the work of the student is correct up to:

We can use the tangent of 50º. The height is approximately 95.34 ft

1) We can trace a right triangle over that mark and calculate that height, using a trigonometric ratio.

2) As we have the adjacent leg to that 50º angle and the opposite leg, we can use the tangent of 50º to find that height out.

3) Hence the answer is

We can use the tangent of 50º. The height is approximately 95.34 ft

The isosceles right is given in the diagram below

We are to rotate clockwise about point B as the origin

Rotating ABC 180° Clockwisely, we have

Rotating ABC 270° clockwise about B, we have

We now combine the four triangles together in the diagram below

Answer

The amount of flour left in the bag = 1.82 kg

Explanation

Concetta had 2 kg of flour.

She uses 180 g of the flour to make biscotti.

We are then asked to calculate how much flour is left in kilograms.

Amount of flour left = (Initial Amount of flour) - (Amount of flour used)

Initial amount of flour = 2 kg

Amount of flour used = 180 g = 0.18 kg

Amount of flour left = (Initial Amount of flour) - (Amount of flour used)

Amount of flour left = 2 - 0.18 = 1.82 kg

Hope this Helps!!!

He took 3 1/4 hours to clean the bathroom and then he took 1/8 hours to clean the kitchen.

First, we can convert the mixed number 3 1/4 into a fraction:

3 1/4 = 3/1 + 1/4 = 13/4

Now, we can sum both times:

13/4 + 1/8 = ((13*8)+(4*1)) / (4*8) = (104 +4)/ 32 = 108/32 = 27/8

Finally, we need to convert the total of hours 27/8 as a mixed number:

If 27/8 = 3.375

We take the whole number and then convert the decimal remaining into a fraction:

3 - whole number

0.375* (1000/1000) = 3/8

Hence, the mixed number for the total time that Ali spent cleaning both rooms is 3 3/8

EXPLANATION

Let's see the facts:

The equation is given by the following expression y= x + 2

---> 64 inches tall

As we can see in the graph of arm span versus height, and with the given data the arm span should be:

arm span = y = 64 + 2 = 66 inches

So, the answer is 66 inches. [OPTION C]

shoe box = 1 cubic foot = 1 * 1 * 1

1 Layer: 6 shoe boxes -> Layer lenght = 6 feet, layer depht = 1 foot

Box height = 4 feet

Box volume = 6*4*1 = 24 feet

Answer:

Explanation:

• The ,cost price ,of the pair of skis = $700

• The ,selling price ,of the pair of skis = $1020

To calculate the percentage of profit, use the formula below:

Substitute the given values:

The percentage profit is % (correct to the nearest hundredth).