AB||CD . Find the value of x.

A. 25
B. 45
C. 15
D. 10​

The solutions are the intersection point of both graphs

So there mUST be two solutions

The intersections are

The x values are solution

Option C

Answer:

C. 0 and 3

Step-by-step explanation:

The solutions of f(x) = g(x) are the values of the x-coordinates of the points where the two graphed functions intersect.

From inspection of the graph, the points of intersection are:

Therefore, the solutions are 0 and 3 (since they are the x-values).

Proof

[tex]\implies f(x) = g(x)[/tex]

[tex]\implies |x + 3| = x^2-2x+3[/tex]

We only need to take the positive form of |x+3| since we can see from the graph that g(x) intersects f(x) when |x+3| is positive:

[tex]\implies x + 3 = x^2-2x+3[/tex]

[tex]\implies x^2-3x=0[/tex]

[tex]\implies x(x-3)=0[/tex]

[tex]\implies x=0, 3[/tex]

Thus confirming that the solutions are when x = 0 and 3

Answer:

15

Step-by-step explanation:

Just add the number of kids disregarding their age

Answer:

The correct answer is 15.

Step-by-step explanation:

To get this answer, all we have to do is add up the data from the graph.

3 + 4 + 2 + 5 + 1 = 15

Hope this helps:) Goodluck!

The depreciated value of the car after 12 years that Kyle buys for $58,000 today, which declines 23% annually, will be $2,520.

Depreciation is the reduction or decrease in the value of an asset over time.

Depreciation occurs because an asset is put to use, and undergoes wear and tear.

The current price of the car = $58,000

The annual depreciation rate = 23%

The depreciated value after one year = 0.77 (1 - 23%)

Let the number of years of depreciation = x

The worth of the car after 12 years = 58,000 x 0.77^x

= 58,000 x 0.77^12

= 58,000 x 0.04344

= $2,519.52

= $2,520

The car's depreciated value can be modeled by the exponential function (decay) abˣ, which yields $2,520 in this situation.

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Answer:

Step-by-step explanation:

The student with the most accurate description of the graph that represents Kate's movement is Tim

From the graph that represents Kate's distance per minute, we have the following highlights:

The student's description that matches the above highlights is Tim

Hence, the student with the most accurate description is Tim

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Based on the scenario above, the student that most accurately described Kate's motion is Tim.

Motion is defined in physics, as the way that an object alters its position over time.

Note that in the scenario above, Tim said that Kate drives at a variable speed for 2 minutes, then drives at a constant speed for 4 minutes, and finally stops at the parking area for the next 2 minutes and thus he is correct about Kate's motion.

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Answer:

Number of terms = 4 (there are four terms)

coefficients = the coefficient of ab = 4

✓✓✓ ✓✓✓ ✓ b = -5

✓✓✓ ✓✓✓ ✓ m = 1

constant terms = 3

Hope it helped!!

Number of terms, Coefficients, Constant terms are 4,2 and 1

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Given;

3 + 4ab - 5b + m

Number of terms here are

=4

Coefficients we have

=2

Constant terms

=1

Therefore, the answer to this algebra will be 4,2 and 1

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The chance of finding a defective headset is 2.5%

The given parameters are:

Total = 280

No defects = 273

The number of defective headsets is:

Defective = 280 - 273

Evaluate

Defective = 7

The probability that a defective headset is selected is:

P(Defective) = 7/280

Express as percentage

P(Defective) = 2.5%

Hence, the chance of finding a defective headset is 2.5%

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Answer:

$2.20

You do 22÷10 and you get 2.20

Answer:

from the question, the expression for the total amount of money from tickets sales will be T=4 × the number of children

Answer:

2/3 of 24 is 16/24

5/8 of 24 is 15/24

Step-by-step explanation:

if you multiply across 2/3 by 8/8 it equal to 16/24

if you multiply across 5/8 by 3/3 it equal to 15/24

Answer:

16/24 and  15/24

Step-by-step explanation:

To get the denominator in 2/3 to be 24 we multiply by 8 since 3 * 8 = 24, since we multiplied the denominator by 8 we must multiply the numerator by 8 as well to keep things equal, therefore 2 * 8 = 16, and we arrive at 16/24.
Likewise for 5/8, to get the denominator 8 to be 24, we multiply by 3, multiplying the numerator by 3 to keep things equal will result in 15/24.

Answer:

41.25%

Step-by-step explanation:

Of the 80 digits generated, 33 of them are 0,1,2, or 3.

(Yup, I counted them)

So, 33/80 = 0.4125 = 41.25%

Answer:

95%

Step-by-step explanation:

Step 1: Find samples with 0, 1, 2 or 3.

Example: count 7918 it has a one

Example two: count 2546 it has a two

Step 2: Once all the samples with 0, 1, 2 or 3 are counted put it into a fraction.

Example: For this particular question there were 19/20 samples with numbers 0, 1, 2 or 3.

Step 3: Change the fraction into a percentage after that you will have your final answer.

Answer:

[tex]\boxed{\bf \sf number : \ \frac{4}{5} }[/tex]

Explanation:

Let the number be n

According to students Condition:

[tex]\rightarrow \sf \dfrac{3}{2} \ x \ n \quad = \quad \dfrac{3n}{2}[/tex]

What He actually Did:

[tex]\rightarrow \sf n \div \dfrac{3}{2} \quad = \quad n \ x \ \dfrac{2}{3} \quad = \quad \dfrac{2n}{3}[/tex]

He got a smaller number by 2/3, so:

[tex]\rightarrow \sf \dfrac{3n}{2} - \dfrac{2n}{3} = \dfrac{2}{3}[/tex]

make the denominator's same

[tex]\rightarrow \sf \dfrac{3(3n)}{6} - \dfrac{2(2n)}{6} = \dfrac{2}{3}[/tex]

multiply the integers

[tex]\rightarrow \sf \dfrac{9n}{6} - \dfrac{4n}{6} = \dfrac{2}{3}[/tex]

Join the fractions

[tex]\rightarrow \sf \dfrac{9n-4n}{6} = \dfrac{2}{3}[/tex]

Subtract integers

[tex]\rightarrow \sf \dfrac{5n}{6} = \dfrac{2}{3}[/tex]

Cross multiply

[tex]\rightarrow \sf n = \dfrac{6 \ * \ 2}{5 \ * \ 3} \quad = \quad \dfrac{4}{5}[/tex]

Lets see

the number be x

The expression is

Answer:

Step-by-step explanation:

Y=6x - 7

6x - 7 = Y

6x = Y + 7

6x/6 = Y + 7/6

X = Y + 7

Answer: 4

Step-by-step explanation:

If there are 13 girls in a class of 23, we can assume there are 10 boys. If 4 girls play chess and there are 10 pupils who play chess, we can guess that the remaining 6 are boys. If there are 10 boys, and 6 of them play chess, there are 4 who do not.

Answer:

k = 9

y = 9x

Step-by-step explanation:

Variation Constant Formula :

Equation :

Answer:

[tex]y = x \\ the \: constant \: k \: will \: be \: y = kx \\ therefore \: if \: y = 9 \: and \: x = 1 \\ the \: equation \: will \: be \: 9 = k(1) \\ this \: gives \: k = 9 \\ therefore \: to \: represent \: in \: equation \: it \: will \: be \\ y = 9x[/tex]

Answer:

y= x + 3

Step-by-step explanation:

I have the same question and that was the correct answer

y= x+ 3 is flatter.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation.

As, the slope of y = x + 3 is 1.

So, the gradient is 1.

So, y = 2x + 3 is flatter

The slope of 2x-1 is 2

and, the slope of y= -4x+3 is -4

and the gradient is -4.

So, y= -4x +3 is steeper.

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Answer:

[tex]x^{7}[/tex]

Step-by-step explanation:

using the rule of exponents

[tex]\frac{a^{m} }{^{a^{n} } }[/tex] = [tex]a^{(m-n)}[/tex] , then

[tex]\frac{x^{9} }{x^2}[/tex] = [tex]x^{(9-2)}[/tex] = [tex]x^{7}[/tex]

The expression (x⁹)/(x²)  in single exponent is x⁷.

To write the expression (x⁹)/(x²) using a single exponent

we can apply the exponent rule for division, which states that when dividing two exponential expressions with the same base, we subtract the exponents:

[tex]\frac{a^m}{a^n}=a^m^-^n[/tex]

(x⁹)/(x²)

= x⁹⁻²

= x⁷

Therefore, the expression (x⁹)/(x²)  can be simplified to x⁷.

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Answer:

1) C (Not Sure as Much as I do for #2 & #3)
2) D
3) C

Answer:

Largest: 3

Smallest: 2

Mid-Sized: 1

Step-by-step explanation:

Answer:

[tex]m\angle{W} = {75{^\circ}}[/tex]

[tex]m\angle{Y} = {15{^\circ}}[/tex]

[tex]m\angle{Z} = {90{^\circ}}[/tex]

Step-by-step explanation:

All angles in a triangle must add up to [tex]180{^\circ}[/tex]

First we can use an equation to find [tex]x[/tex]

[tex](x - 15) + (2x - 165) + 90 = 180[/tex]

[tex]3x - 180 = 90[/tex]

[tex]3x = 270[/tex]

[tex]x = 90[/tex]

Now we can solve for [tex]\angle W[/tex]and [tex]\angle Y[/tex] through substitution

[tex]\angle{W} = 90 - 15 \rightarrow \boxed{75{^\circ}}[/tex]

[tex]\angle{Y} = 2x - 165 \rightarrow 2(90) - 165 \rightarrow 180 - 165 \rightarrow \boxed{15{^\circ}}[/tex]

Now we can classify the triangle

It is right because it has a [tex]90{^\circ}[/tex] angle

These are the answers

- Kan Academy Advanced

Answer:

they are exacly the same

Step-by-step explanation:

Answer:

600 cm³

Step-by-step explanation:

Figure is of cuboid

length (l) = 10cm

breadth (b) = 4 cm

height (h) = 15cm

volume of cuboid = l.b.h

= 10 × 4 × 15

= 40 × 15

= 600

Therefore,volume of given figure is 600 cm³.

Answer:

9/1000

Step-by-step explanation:

When writing decimals into fractions, you first take the last digit, (in this case 9), and place it as your numerator, then count how many decimal places there are after 0. <---- in our case we have 3 decimal places which means our denominator has 3 zeros. Hence it is 1000.

Reason:

The tree is already 48 inches tall. We add on 3x to represent the idea the tree is growing 3 inches per month. Therefore, the total height is 48+3x or 3x+48 inches.

Let's say x = 5 months have elapsed as an example.

The tree would have grown 3*x = 3*5 = 15 inches to get 48+15 = 63 inches tall. In other words, y = 3x+48 will have y = 63 when x = 5.

Answer:

B

Step-by-step explanation:

You don't have do do anything with the denominator because they are the same so simply subtract!

= 5 [tex]\frac{1}{3}[/tex]

The domain of the function where the function is decreasing is (-∞, 1). Then the correct option is D.

The domain means all the possible values of the x and the range means all the possible values of the y.

The function is given below.

f(x) = x² - 2x + 5

The equation can be written as

f(x) = x² - 2x + 1 + 4

f(x) = (x - 1)² + 4

Then the domain of the function where the function is decreasing will be (-∞, 1).

Then the correct option is D.

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The values of x in f(x) = 3|x - 2| + 6 when f(x) = 18 are 6 and -2

The function is given as:

f(x) = 3|x - 2| + 6

The value of f(x) is

f(x) = 18

So, we have:

3|x - 2| + 6 = 18

Subtract 6 from both sides

3|x - 2| = 12

Divide both sides by 3

|x - 2| = 4

Remove the absolute bracket

x - 2 = 4 or x - 2 = -4

Add 2 to both sides

x = 6 or x = -2

Hence, the values of x are 6 and -2

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