Determine the standard form of the equation of the line that passes through (-7,8) and (0,2)

Answer:

b and c

Step-by-step explanation:

The excluded values are any values of x that make the denominator equal to zero as this would make the rational function undefined.

Equate the denominator to zero and solve for x to obtain excluded values

1

solve 1 - 2x = 0 ⇒ 2x = 1 ⇒ x = [tex]\frac{1}{2}[/tex] → b

2

x² - 2x - 15 = 0 ← in standard form

(x - 5)(x + 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 3 = 0 ⇒ x = - 3

Excluded values are x = - 3 and x = 5 → c

Answer:

B and C

Step-by-step explanation:

The projection of [tex]\vec u[/tex] onto [tex]\vec v[/tex] is

[tex]\mathrm{proj}_{\vec v}(\vec u)=\dfrac{\vec u\cdot\vec v}{\vec v\cdot\vec v}\vec v[/tex]

We have

[tex]\vec u\cdot\vec v=1.6\cdot(-2.1)+3.3\cdot(-0.5)=-5.01[/tex]

[tex]\vec v\cdot\vec v=\|\vec v\|^2=(-2.1)^2+(-0.5)^2=4.66[/tex]

[tex]\implies\mathrm{proj}_{\vec v}(\vec u)=\dfrac{-5.01}{4.66}\vec v\approx2.26\,\vec\imath+0.54\,\vec\jmath[/tex]

Answer:

answer is B i think on edg. 2.3i+0.5j

Step-by-step explanation:

just took the test

Answer:

The answer is B.

Step-by-step explanation:

Please make me the brianliest

Answer:

2 and a half

Step-by-step explanation:

To solve this, divide the total amount of free time [5/6] by the time it takes to play one video game [1/3]

Remember that dividing 5/6 by 1/3 is the same as multiplying 5/6 by 3/1.

Multiply the numerators

5 x 3 = 15

Multiply the denominators

6 x 1

15/6 = 2 3/6

So, Lamar can play 2 and a half video games

I hope this helps!

The answer is 2 and a half.

Answer:

Final answer is [tex]=3\frac{7}{15}[/tex].

Step-by-step explanation:

[tex]4\ \frac{1}{5}-7\ \frac{2}{3}[/tex]

[tex]=\frac{4\cdot5+1}{5}-\frac{7\cdot3+2}{3}[/tex]

[tex]=\frac{20+1}{5}-\frac{21+2}{3}[/tex]

[tex]=\frac{21}{5}-\frac{23}{3}[/tex]

[tex]=\frac{21}{5}\cdot\frac{3}{3}-\frac{23}{3}\cdot\frac{5}{5}[/tex]

[tex]=\frac{63}{15}-\frac{115}{15}[/tex]

[tex]=-\frac{52}{15}[/tex]

[tex]=-3\frac{7}{15}[/tex]

Hence final answer is [tex]=3\frac{7}{15}[/tex].

Answer:

your answer would be 9 printers

The answer is:

There are a total of 9 black and white printers

To solve the problem, first, we need to calculate how many color printers represents two-fifths of the total printers, then, calculate the number of black and white printers using the total number of printers and the number of color printers.

Calculating how many color printers does the departament have:

[tex]ColorPrinters=TotalPrinters*\frac{2}{5} \\\\ColorPrinters=15*\frac{2}{5}\\\\ColorPrinters=\frac{30}{5}=6[/tex]

Therefore, we have that there are 6 color printers.

Now, calculating the number of black and white printers, we have:

[tex]TotalPrinters=ColorPrinters+BlackAndWhitePrinters\\\\BlackAndWhitePrinters=TotalPrinters-ColorPrinters\\\\BlackAndWhitePrinters=15printers-6printers=9printers[/tex]

Hence, we have that there are a total of 9 black and white printers.

Have a nice day!

1. 60 / 1/8 * 3/4

2. 3/4 * 15

3. 7/8 / 3/4

Answer:

60

Step-by-step explanation:

All you have to do is this:

24 * 2/5 (original equation)

24*5/2 = 60

The answer is B. If angle b is congruent to angle c, then you would write the problem as 12x + 4= 14x-2. X=3. You can check by substituting three for x.

Final answer:

To find the value of x in the isosceles triangle ABC with given angle expressions, we set the expressions for angles B and C equal, leading to a simple equation that yields x = 3.

Explanation:

The question involves finding the value of x in an isosceles triangle where the angles at base B and C are given as algebraic expressions in terms of x. Since triangle ABC is isosceles with angles at B and C being equal, we can set the expressions for m∆B and m∆C equal to each other and solve for x.

Let's set up the equation using the fact that m∆B = m∆C since ∆ ABC is isosceles:

(12x + 4)° = (14x - 2)°

We can then solve for x:

Subtract 12x from both sides: 4° = 2x - 2°

Add 2° to both sides: 6° = 2x

Divide by 2 to solve for x: x = 3

The value of x is therefore 3, which corresponds to answer choice B.

Answer:

$15.44

Step-by-step explanation:

Answer:

about 101.22

Step-by-step explanation:

Answer:  [tex]A)\quad \dfrac{x^6\ z}{y^{10}}[/tex]

Step-by-step explanation:

[tex].\quad \dfrac{(x^{2}\cdot y^{-3}\cdot z^{4})^2}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\= \dfrac{x^{2\cdot 2}\cdot y^{-3\cdot 2}\cdot z^{4\cdot 2}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4}\cdot y^{-6}\cdot z^{8}}{x^{-2}\cdot y^{4}\cdot z^{7}}\\\\\\=\dfrac{x^{4+2}\cdot y^{-6+6}\cdot z^{8-7}}{x^{-2+2}\cdot y^{4+6}\cdot z^{7-7}}\\\\\\=\large\boxed{\dfrac{x^6\ z}{y^{10}}}[/tex]

Answer:

y=(-5/12)x+(95/12)

Step-by-step explanation:

step 1

Find the slope of the line AB

m=(3-8)/(2+10)=-5/12

step 2

Find the slope of the line parallel to AB

we know that

If two lines are parallel then their slopes are the same

so

the slope is m=-5/12

step 3

Find the equation of the line l parallel to AB that passes through Point X

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

substitute

y-10=(-5/12)(x+5)

y=(-5/12)x-(25/12)+10

y=(-5/12)x+(95/12)

Answer:

[tex]\large\boxed{7x^2-15x+5-2x-8x^2=-x^2-17x+5}[/tex]

Step-by-step explanation:

[tex]7x^2-15x+5-2x-8x^2\qquad\text{combine like terms}\\\\=(7x^2-8x^2)+(-15x-2x)+5\\\\=-x^2-17x+5[/tex]

Answer:

58 students were in each bus

Step-by-step explanation:

First, you'd have to subtract 29 from 551. This gives you 522. Then, you'd simply have to divide 522 by 9. 5 cannot go into 9 so we drag down the 2, 9 can go into 52 5 times. Then, you'll be left with 7, so you bring down the last digit, 2. 9 goes into 72 exactly 8 times.

Answer:

26.55

Step-by-step explanation:

When rounding to the nearest whatever, you always look at the digit to the right of it. In this case, you look at the thousandth digit. 3 is not equal to or less than five, so you round 3 to 0 and you get 26.55

Answer:

I believe its C

A scatter plot is just plotting the x and y coordinates on the graph.

x is horizontal (side to side) and y is vertical up and down.

A graph in which the values of two variables are plotted along two axes, the pattern of the resulting points revealing any correlation present.

The trend is just basically a line you guesstimate in the middle of the points that are scattered through the graph.

Describe it by saying whether it is positive or negative.

Therefore option C is correct.

To learn more about the scatter plot:

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Answer:

37

Step-by-step explanation:

To evaluate, substitute x = 10 into g(x) then substitute the value obtained into f(x)

g(10) = 10 - 4 = 6, then

f(6) = 6² + 1 = 36 + 1 = 37

1. 428 pages: There are a total of 428 pages that you can flip to.

2. 1/428: Page 45 is only one page out of the total sample space.

3. 1/2: Since the last page is 428, there is an even number of pages. That means that there are 214 page numbers that are even. 214/428 = 1/2.

Answer:

1. What is the sample space for this experiment?

A: 1 to 428

2. What is the probability that you will turn to page 45?

A: There is a 1 out of 428 chance you will turn to page 45.

3. What is the probability that you turn to an even numbered page?

A: There is a 1 out of 2 chance you will turn to an even numbered page.

Answer:

80

Step-by-step explanation:

Steval train 80 dogs in 10 hours because 48÷6 = 8 so if you do 10 times a day you get 80 so you will get a total of 80 dogs in 10 hours

Answer: No. But there are steps you have to take

Step-by-step explanation: To find the perimeter of a regular polygon, that is a polygon with equal sides. First, write down the length of 1 side and the total number of sides. Then, multiply the 2 numbers together to find the perimeter.

To circle all values with a z-score greater than 0.5, calculate the z-score for each value and compare it to 0.5. The values with a z-score greater than 0.5 are 76 and 78.

To determine which values have a z-score greater than 0.5, we need to calculate the z-score for each value in the data set. The z-score formula is calculated by subtracting the mean from a value and then dividing by the standard deviation. If the resulting z-score is greater than 0.5, we circle the corresponding value.

Based on the calculations, the values with a z-score greater than 0.5 are 76 and 78. Therefore, these two values should be circled.

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To determine the values with z-scores greater than 0.5, calculate the z-score for each value. The values with z-scores greater than 0.5 are 76 and 78.

In order to determine which values have z-scores greater than 0.5, we need to calculate the z-score for each value. The z-score formula is:

z = (x - mean) / standard deviation

Let's calculate the z-scores for each value and circle the ones greater than 0.5:

Values with z-scores greater than 0.5 are: 76 and 78.

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To find the relationship between two quantities, x and y, in a table, analyze patterns in the changes of the values, determine if the relationship is linear or nonlinear, and then use the identified relationship to calculate missing values. A computer can be useful for plotting data and visualizing the relationship.

To find the relationship between two quantities, x and y, in a table, first, you need to look for a pattern in the way the numbers change. If y changes by a consistent amount when x changes by a set amount, the relationship is likely linear. If the rate of change itself changes, the relationship may be nonlinear. To determine the relationship:

To fill in missing values:

When calculating these relationships, plotting data using computers can be helpful, especially for identifying linear or nonlinear relationships and for regression analysis in more complex datasets.

C, because you distribute the 1/6 to x and 18 which ends up being 1/6x - 3

[tex]\frac{1}{6}(x-18)[/tex]   Distribute 1/6(multiple 1/6 to x and -18)

[tex]\frac{1}{6}(x) -\frac{1}{6} (18)[/tex]     Simplify

[tex]\frac{1}{6}x -3[/tex]       Your answer is C

This should help in the photo

The angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.

Trigonometric functions are defined as the functions which show the relationship between the angle and sides of a right-angled triangle.

To solve this problem, we can use the Pythagorean theorem and trigonometric functions.

First, we can find the length of the diagonal of the rectangle using the Pythagorean theorem:

diagonal² = longest side² + shortest side²

diagonal² = 1000² + 577²

diagonal = √(1000² + 577²)

diagonal = 1162.46 mm (rounded to two decimal places)

Next, we can find the angle between the longest side and the diagonal using the inverse tangent function:

tan(θ) = opposite / adjacent

tan(θ) = 577 / 1000

θ= arctan(577 / 1000)

θ= 29.98

θ ≈ 30 degrees

Therefore, the angle between the longest side and the diagonal of the rectangle is approximately 30 degrees.

Learn more about Trigonometric functions here:

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Answer:

A reflection over the y axis and then a reflection over the x axis gets a to a'. Hope this helps!

Answer:

Step-by-step explanation:

the equation of the graph  : y = sin(x + 90°)

because when :  x= 0 :  y = sin90° = 1

Answer:

Option A y = sin ( x + 90 )

Step-by-step explanation:

The given graph is the graph of cosine which should be in the form of

y = a cos ( bx + c ) + d

here a = amplitude = [tex]\frac{1-(-1)}{2}[/tex] = [tex]\frac{2}{2}[/tex] = 1

Since period of the wave is 2x or 360°.

we know, period = [tex]\frac{2\pi }{b}[/tex]

                          [tex]b=\frac{2\pi }{2\pi }[/tex] = 1

Now equation becomes,

y = cos ( x + c ) + d

In this graph there is no horizontal or vertical shift

c = 0 and d = 0

so equation will be  y = cos (x)

as we know              y = cos (x) = sin ( 90 + x )

Therefore, Option A y = sin ( x + 90 ) is the answer.

Answer:

A =πr^2

Step-by-step explanation:

Answer: The formula for the area of a circle is pi times the radius, squared (A = π r²)

Step-by-step explanation:

Answer:

You could use one quarter and two dimes... that will equal $0.45

(I'm not sure what you are asking for)

Answer:

You could use 9 nickels

You could use 45 pennies

You could use 1 quarter and 2 dimes

You could use 4 dimes and 1 nickel

You could use 2 dimes and 5 nickels

You could use a lot more combination that equal 45...

When Dave walks three dogs he will earn a net profit of 40 dollars.

P(3) = 40 in the given problem context implies that Dave makes a net profit of 40 dollars from walking three dogs.

In the given problem context, the equation P(3) = 40 means that when Dave walks three dogs (d=3), he makes a net profit of 40 dollars. Dave's profit function is P(d) = 20d - 20. By substituting d with 3 in his profit function, we obtain P(3) = 20*3 - 20, which gives us P(3) = 60 - 20 = 40. Thus, Dave earns a net profit of 40 dollars from walking 3 dogs.

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Answer:

Three angles, measuring 25,65, and 90.

Step-by-step explanation: