Mr. Shaw graphs the function f(x) = –5x + 2 for his class. The line contains the point (-2, 12). What is the point-slope form of the equation of the line he graphed?

Answer:

A. 9

Step-by-step explanation:

F(-2) = 9

We are given the polynomial function;

F(x) = -2x3 + x2 + 4x-3

In order to determine F(-2) using the remainder theorem, we plug in -2 in place of x in the equation and simplify;

F(-2) = -2(-2)^3 + (-2)^2 + 4(-2) - 3

F(-2) = 9

Answer:

A

Step-by-step explanation:

Evaluating F(- 2) gives the remainder on dividing the polynomial by (x + 2)

F(- 2) = - 2(- 2)³ + (- 2)² + 4(- 2) - 3 = 16 + 4 - 8 - 3 = 9 ← remainder

The height of the tree is 32 feet.

Step-by-step explanation:

Let the height of the tree be x.

Connect the top of the tree, the point on the ground, and the bottom of the tree to form a right triangle.

Use Pythagorean theorem to solve for x.

(4+2x)^2 = x^2 + 60^2

x = 32

The height of the tree is 4 feet.

To find the height of the tree, we can set up a right triangle with the tree height as one leg, the distance from the base of the tree as the other leg, and the distance to the top of the tree as the hypotenuse. Let's call the tree height x. From the given information, we can write the equation:

x = 2x + 4

Simplifying this equation, we get:

x = 4

Therefore, the height of the tree is 4 feet.

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Answer:

y = 3m - 6

Step-by-step explanation:

y = mx + b

b is the point where the line cuts the y axis.

That happens at (0,-6)

So far what you have on this equation is

y = mx - 6

You could use the point that cuts the x axis to find m.

y = 0

x = 2

0 = m*2 - 6                  Add 6 to both sides

6 = m*2 - 6 + 6

6 = 2*m                        Divide by 2

6/2 = 2m/2                   Do the division

3 = m

Answer

y = 3m - 6

The median number of laptop computers sold per month is 15, calculated by arranging the sales data in ascending order and averaging the two middle values in the even-numbered dataset.

The median of laptop computers sold per month can be calculated by first arranging the given numbers in ascending order and then finding the middle value. If there is an even number of observations, the median is the average of the two middle numbers.

Answer:

j = 7

Step-by-step explanation:

flip the equation around: instead of using multiplication you use division to find out what j is.

1st step: 42 divided by 6 is 7

2nd step: (check your answer): 7 times 6 does equal 42, therefore j = 7 is correct.

Answer:

[tex]\huge \boxed{J=7}[/tex]

Step-by-step explanation:

Switch sides.

[tex]\displaystyle6j=42[/tex]

Divide by 6 from both sides.

[tex]\displaystyle \frac{6j}{6}=\frac{42}{6}[/tex]

Simplify, to find the answer.

[tex]\displaystyle 42\div6=7[/tex]

[tex]\huge \boxed{j=7}[/tex], which is our answer.

Answer:

80 kg is Hamid's normal weight

Step-by-step explanation:

The following equation will help you to find the answer:

(1.10)x = 88

Answer:79.2kg

Step-by-step explanation:

10%of 88kg is 8.8. Subtract 8.8 from 88 and the answer is 79.2.

Answer:

Step-by-step explanation:

[tex]a_1,\ a_2,\ a_3,\ ...,\ a_n-\text{geometric series}\\\\r=\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}-\text{common ratio}\\\\\text{From the table we have:}\\\\a_1=7,\ a_2=21,\ a_3=63,\ a_4=189,\ a_5=567\\\\\text{Check the common ratio:}\\\\\dfrac{21}{7}=3\\\\\dfrac{63}{21}=3\\\\\dfrac{189}{63}=3\\\\\dfrac{567}{189}=3\\\\\bold{CORRECT}[/tex]

Answer:

5 units

Step-by-step explanation:

To calculate the distance (d) use the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (4, 0)

d = [tex]\sqrt{(4-1)^2+(0-4)^2}[/tex]

   = [tex]\sqrt{3^2+(-4)^2}[/tex]

   = [tex]\sqrt{9+16}[/tex] = [tex]\sqrt{25}[/tex] = 5

Answer:

2y=-5x

Step-by-step explanation:

First you mark your terms, which means to basically put the equation in order.

Then you add, for instance, first you'll add y and 1, you'll have 2y because y means one. Then, you'll have -2 minus 3 and you'll get -5 then you carry on the variables to the solutions.

Answer:

2y=-5x

hope this helps :3

Answer:

7/4, 1.25 or 1 3/4

Step-by-step explanation:

Answer:

Exact form  7/4

Decimal form 1.75

Mixed Number 1 3/4

Step-by-step explanation:

[tex]\bf \textit{arc's length}\\\\ s=\cfrac{\pi \theta r}{180}~~ \begin{cases} r=radius\\ \theta =\textit{angle in}\\ \qquad \textit{degrees}\\ \cline{1-1} r=6\\ \theta =30 \end{cases}\implies s=\cfrac{\pi (30)(6)}{180}\implies s=\pi[/tex]

[tex]\bf (x-2)(x+5)=18\implies \stackrel{\mathbb{F~O~I~L}}{x^2+3x-10}=18\implies x^2+3x-28=0 \\\\\\ (x-4)(x+7)=0\implies x= \begin{cases} 4\\ -7 \end{cases}[/tex]

Final answer:

The solution to the inequality -x > 4 is all real numbers less than -4, which can be expressed as the interval (-∞, -4). This is found by dividing both sides by -1 and reversing the inequality to x < -4.

Explanation:

When considering the inequality -x > 4, we are trying to find the set of all values for the variable x that make the inequality true. The solution to such an inequality requires inverse operations and understanding the rules for inequalities, especially the rule that multiplying or dividing both sides of an inequality by a negative number reverses the inequality symbol.

Step by step, let's solve the given inequality:

This means that any number lower than -4 will be a valid solution for the inequality -x > 4. It's also valuable to visualize this set on a number line, where everything to the left of -4 (but not including -4 itself) is part of the solution set.

For this case we have that by definition, the Pythagorean theorem states that:

[tex]c = \sqrt {a ^ 2 + b ^ 2}[/tex]

Where:

c: It is the hypotenuse of the triangle

a, b: They are the legs of the triangle

Then, we verify if the theorem for the given triangles is fulfilled:

Triangle 1:

[tex]\sqrt {13} = \sqrt {2 ^ 2 + 3 ^ 2}\\\sqrt {13} = \sqrt {4 + 9}\\\sqrt {13} = \sqrt {13}[/tex]

It is fulfilled!

Triangle 2:

[tex]25 = \sqrt {2 ^ 2 + (3 \sqrt {2}) ^ 2}\\25 = \sqrt {4+ (9 * 2)}\\25 = \sqrt {22}[/tex]

It is not fulfilled!

Triangle 3:

[tex]43 = \sqrt {2 ^ 2 + (3 \sqrt {3}) ^ 2}\\43 = \sqrt {4+ (9 * 3)}\\43 = \sqrt {4+ (9 * 3)}\\43 = \sqrt {31}[/tex]

It is not fulfilled!

ANswer:

Triangle A

Answer:

52 is the multiple of 13

Step-by-step explanation:

3x+3=156

3x=153

x=52

Answer:

52 is the multiple of 13 out of 51 , 52, 53 numbers​.

Step-by-step explanation:

Given:  Sum of three consecutive integers 156

To find: Three consecutive integers .

Solution: We have given that

Let first consecutive number  x ,

Second consecutive number=   x+1

Third number =  x+2

According to question :

Sum of three consecutive number

x + x+1 +x+2 = 156 .

Combine like term

3x+3 = 156

On subtracting by 3 both side

3x + 3 -3 = 156 - 3

3x = 153

On dividing by 3

x = 51.

X+1 = 51+1

x+1 = 52.

x +3 = 51+2 = 53.

We can see second number 52 is multiple of 13.

Therefore, 52 is the multiple of 13 out of 51 , 52, 53 numbers​.

Answer:

hello : a²b² =4

Step-by-step explanation:

2ײ + 3x - 4=0

The roots of this equation exist because (2)(-4)<0

note : a'x²+b'x +c' =0.......The roots of this equation : a and b

a×b = c'/a'       a' =2 and b'=3 and c' = - 4

in this exercice ; a²b² = (ab)² = (c'/a')²  = (-4/2)² = (-2)² =4

Answer:

4

Step-by-step explanation:

given a quadratic equation in standard form

y = ax² + bx + c = 0 : a ≠ 0

with roots α and β, then

the sum of the roots α + β = - [tex]\frac{b}{a}[/tex] and

the product of the roots αβ = [tex]\frac{c}{a}[/tex]

2x² + 3x - 4 = 0 ← is in standard form

with a = 2, b = 3 and c = - 4

αβ = [tex]\frac{-4}{2}[/tex] = - 2, hence

α²β² = (αβ)² = (- 2)² = 4

Answer:

The answer would be 60

Step-by-step explanation:

What you do is if the number if 5 or less (ex 55) you would round down to 50. However it is 56 so you would round up to the next highest tenth, 60.

Hope this helps! Have a great day!

[tex]\text{Hey there}[/tex]

[tex]\text{If you come across: 5, 6, 7 , 8 , \& 9 you're going}\uparrow\text{(up)}[/tex]

[tex]\text{If you come across 1 , 2 , 3 , \& 4 you're going}\downarrow\text{(down)}[/tex]

[tex]\text{In this equation we have a SIX (6) at the end of the equation so we're going UP!}[/tex]

[tex]\boxed{\boxed{\bf{Ansewr: 60}}}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

The answer is 30

Step-by-step explanation:

BC the inside of a triangle equals 180

Answer: 16 cm^2.

Step-by-step explanation: The volume of a pyramid is equal to one-third the product of the area of the base and the height:

[tex]V=\frac{1}{3}A*h[/tex]

In this case, the base is a square, so its area is:

A=L^2 where "L" is the lenght of the base edge

So the volume would be:

[tex]V=\frac{1}{3}L^{2} *h[/tex]

[tex]V=\frac{1}{3}4^{2} *3[/tex]

V=16*3/3

[tex]V=16cm^{2}[/tex]

Answer:

(0,2) & (3,0)

Step-by-step explanation:

Given the equation [tex]2x+3y=6[/tex]:

Step 1:

To find the y-intercept, you want to set the x value to zero. This will allow you to solve for y, and find where the equation intercepts why on the 0 line:

[tex]2(0)+3y=6 \\ 0+3y=6\\ 3y=6\\ y=\frac{6}{3} \\  y = 2[/tex]

So, at x=0, y=2. or (0,2)

Step 2:

Set y = 0 and solve for x:

[tex]2x+3(0)=6\\ 2x+0=6\\ 2x=6\\ x=\frac{6}{2}\\  x=3[/tex]

so at y=0, x=3. which is the same as saying: when x=3, y=0, or (3,0)

Choose two points

(4,1) and (-3 , 5)

rise/run = 4/6

Simplify - 2/3

Answer = B) 2/3

Hope this helps!!

we can simply get the slope by using two points off the line, hmmmm say the line passes through (0,3) and (-3,5)

[tex]\bf (\stackrel{x_1}{0}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{-3}~,~\stackrel{y_2}{5}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{5-3}{-3-0}\implies \cfrac{2}{-3}\implies -\cfrac{2}{3}[/tex]

Answer:

opening the bracket, the expression becomes

12x^2-28-19x^2

collect like terms

12x2-19x^2-28

-7x^2-28

-7(x^2+4)

Answer:

$2389.14

Step-by-step explanation:

The equation is I = PRT

330= (0.0425)(3.25)P

P=2389.14

Answer:

$2389.14.

Step-by-step explanation:

Use the formula

I =  PRT/100 where I = interest , P  is the principle, t = time and R = the rate.

330 = P * 4.25 * 3.25 / 100

33000 = P * 13.8125

P = 33,000 / 13.8125

P = $2389.14.

Answer:

(3,0) and (-2,5)

Step-by-step explanation:

The solutions of the equations are A ( 3 , 0 ) and B ( -2 , 5 ) and the graph is plotted

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as C

Now , the value of C is

Substituting the values in the equation , we get

y = x² - 2x - 3   be equation (1)

y = -x + 3   be equation (2)

On simplifying , we get

-x + 3 = x² - 2x - 3

Adding x on both sides , we get

x² - 3 - x = 3

Subtracting 3 on both sides , we get

x² - x - 6 = 0

On factorizing , we get

( x - 3 ) ( x + 2 ) = 0

So , the two values of x are 3 and -2

Hence , the solutions of equations are A ( 3 , 0 ) and B ( -2 , 5 )

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Answer:

5x+6

Step-by-step explanation:

f(x) = 3x + 10

g(x) = 2x– 4

(f+ g)(x) = 3x+10 + 2x-4

Combine like terms

           = 5x+6

Answer:

5x + 6

Step-by-step explanation:

 (f+ g)(x) = 3x + 10 +  2x– 4

               = 5x + 6

Answer:

x=−7/8±129/8

Step-by-step explanation:

Assuming that is a -4x^2, i'll solve it. So, -4x^2 - 7x = -5. This is a quadratic, so move all the numbers to one side (and variables). So, -4x^2 - 7x + 5 = 0. Divide everything by -1, to make the coefficient of the x squared positive. This leaves: 4x^2 + 7x -5 = 0. Now, factoring attempts: (2x-1)(2x+5). This does not work, sadly, so we must find other methods. Using the quadratic formula would be easier than factoring, so use the quadratic formula. This gives us the answers of -7 plus or minus sqrt(129) all over 8. The quadratic formula comes in handy!

Hello There!

1[tex]\frac{3}{4}[/tex] + 2[tex]\frac{3}{8}[/tex] = 4[tex]\frac{1}{8}[/tex]

First, when we are trying to find the sum of a mixed number, I always add the natural numbers first meaning that the numbers before the fraction so I would add 1 and 2 together so we get a sum of 3 and now we are left with just a plain fraction.

Next, I find the least common denominator which is the smallest number that can be a common denominator for a set of fractions. Our lowest common denominator is 8 because [tex]\frac{3}{4}[/tex] = [tex]\frac{6}{8}[/tex].

Then, we add our fractions with the denominator of 8 together and get a sum of 9/8 which we can turn into a mixed number because the numerator is bigger than our denominator.

Our mixed number turns into 1 and 1/8 and we add 4 to it because that was the sum of our natural numbers and get a sum of 4 and 1/8

ANSWER 4 1/8

To find the volume multiply the three dimensions:

16 x 25 x 37 = 14,800 cubic meters.

Answer:

Domain {1,5,10,20}

Ranger {4,20,40,80}

Step-by-step explanation:

$1=4 quarters

$5=20 quarters

$10=40 quarters

$20=80 quarters

Domain {1,5,10,20}

Ranger {4,20,40,80}