a straight line passes through the point (0,6) and is perpendicular to y= 4x - 5. find the equation of this line, giving your answer in the form y= mx + c

Answer:

7000

Step-by-step explanation:

Given the equation :

L=-250t+7000

L = amount owed after t months of repayment.

From the equation given, we could deduce that it is a linear equation of the form :

y = bx + c

Where, b = - 250 is the slope = fixed amount paid per month and it's negative because the amount owed will reduce with each payment made.

c = intercept, which is the value of L when t = 0

This will give amount borrowed :

L=-250t+7000

At t = 0

L = - 250(0) + 7000

L = 7000

Answer:

48 globos

Step-by-step explanation:

De la pregunta anterior, se nos dice que:

En el cumpleaños de Manolito se inflaron 144 globos.

Por eso:

Para globos rojos

2/9 de los globos eran rojos

Número de globos rojos = 2/9 × 144 globos

= 32 globos

Para globos verdes

5/18 eran verdes

Número de globos verdes = 5/18 × 144 globos

= 40 globos

Para globos amarillos

1/6 eran amarillas

Número de globos amarillos = 1/6 × 144 globos

= 24 globos

Tenga en cuenta que:

Número total de globos =

Globos rojos + Globos verdes + Globos amarillos + Otros colores

Otros colores = 144 globos - (globos rojos + globos verdes + globos amarillos)

Otros colores = 144 globos - (32 + 40 + 24) globos

= 144 globos - 96 globos

= 48 globos

Por lo tanto, la cantidad de globos que son de otros colores = 48 globos

Answer: 15$

Step-by-step explanation:

Given

Kendra spent one-third of allowance on a book and two-fifth on snack.

If she had four dollar remaining after purchase

Suppose x is the original amount

[tex]\therefore x-\dfrac{x}{3}-\dfrac{2x}{5}=4\\\\\Rightarrow \dfrac{15x-5x-6x}{15}=4\\\\\Rightarrow 4x=60\\\Rightarrow x=15[/tex]

Thus, 15$ was her total allowance.

Answer and Step-by-step explanation:

To solve, simply plug 6 in for m in the equation.

C(6) = 50(6) + 79.50

6 times 50 is 300.

300 + 79.50 = 379.50 = C(6)

The answer is 379.5

(Looking at the question again, I don't think what I said is what it is asking for, soo)

The slope of the function given represents the amount that needs to be paid every month. The y-intercept (79.50) represents the initial cost (starting amount) for paying the membership.

#teamtrees #PAW (Plant And Water)

Answer:

4(2 - x)(2 + x)

Step-by-step explanation:

16 - 4x² ← factor out 4 from each term

= 4(4 - x²) ← difference of 2 squares

= 4(2 - x)(2 + x) ← in factored form

Answer:

144 feet

5 seconds

Step-by-step explanation:

a.

we want the maximum (or the vertex)

-64/-32= 2

-16*2²+64*2+80=144

b.

Here we want the point in which the y=0

In other words, we want the x-intercept

-16x²+64x+80= -16(x-5)(x+1)

so we have

(5,0) and (-1,0)

reject the negative answer to get 5 seconds

A) the maximum height of the apple is 144 feet. B) it will take 1 second for the apple to reach the ground.

How to determine How many seconds will it take for the apple to reach the ground

a. To find the maximum height of the apple, we need to determine the vertex of the parabolic equation. The vertex represents the maximum point of the parabola.

The equation for the height of the apple is given as h = -16t^2 + 64t + 80.

To find the t-value at the vertex, we can use the formula t = -b / (2a), where a, b, and c are the coefficients in the equation.

In this case, a = -16 and b = 64. Substituting these values into the formula:

t = -64 / (2 * -16)

t = -64 / -32

t = 2

So, the apple reaches its maximum height at t = 2 seconds.

To find the maximum height (h), we substitute the value of t = 2 into the equation:

h = -16(2)^2 + 64(2) + 80

h = -64 + 128 + 80

h = 144

Therefore, the maximum height of the apple is 144 feet.

b. To find the time it takes for the apple to reach the ground, we set h = 0 in the equation and solve for t:

0 = -16t^2 + 64t + 80

We can factor this equation or use the quadratic formula. Let's use the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = -16, b = 64, and c = 80. Substituting these values:

t = (-64 ± √(64^2 - 4(-16)(80))) / (2(-16))

t = (-64 ± √(4096 + 5120)) / (-32)

t = (-64 ± √9216) / (-32)

t = (-64 ± 96) / (-32)

We have two possible solutions:

t1 = (-64 + 96) / (-32) = 1

t2 = (-64 - 96) / (-32) = 5

Since the apple was launched upward, we consider the positive solution t1 = 1.

Therefore, it will take 1 second for the apple to reach the ground.

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Answer:

6 1/10

Step-by-step explanation:

Answer:

The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]y_{v}[/tex].

b(x) = - 0.25 x^2 + 4x

Quadratic equation with [tex]a = -0.25, b = 4[/tex].

Vertex:

[tex]x_{v} = -\frac{4}{2(-0.25)} = 8[/tex]

[tex]\Delta = 4^2-4(-0.25)(0) = 16[/tex]

[tex]y_{v} = -\frac{16}{4(-0.25)} = 16[/tex]

The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.

Answer:

Step-by-step explanation:

2bx + 4by -3ax -6ay

= 2b (x +2y) - 3a (x +2y)

= (x +2y) (2b-3a)

Answer:

The statue is 10cm tall in Kia's drawing.

Step-by-step explanation:

We know the statue is 80ft tall, as Bob's drawing was 1cm to 5ft and his drawing was 16cm tall. 16 x 5 = 80ft.

Because the new scale is 1cm to 8ft, you divide the 80ft tall statue with 8, and that leaves you with a 10cm tall replica statue.

Answer:

10 cm

Step-by-step explanation:

an isosceles triangle is a triangle that has two sides of equal length

FU = 7 units

UN = 5 units

FN = 7 units

FU = FN

FU ≠ UN

FN ≠ UN

FUN is an isosceles triangle.

The value of the card can be modeled using a linear function. The domain of the function is 5.

A linear equation is an equation that has the variable of the highest power of 1. The standard form of a linear equation is of the form Ax + B = 0.

A baseball card was worth $120.

Each year for x years, the card’s value, y, in dollars, decreased by $10. The owner sold the card after 5 years.

y = $120 - $10(5)

y = $150

domain = x or 5

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Answer:

(1,2)

Step-by-step explanation:

y = 2x. y = -x+3

Set the two equations equal

2x = -x+3

Add x to each side

2x+x = -x+x+3

3x = 3

Divide by 3

3x/3 = 3/3

x = 1

Now find y

y =2x = 2(1) = 2

(1,2)

Solve like how you solve the system of equations. System of Equations are to find the intercept of both graphs or to find which coordinate points are solution to both equations.

We are given the equations below:

[tex] \large{ \begin{cases} y = 2x \\ y = - x + 3 \end{cases}}[/tex]

Since both equations are y-isolated and we want to find the coordinate point that both equations have or the coordinate point that is a part of two equations.

[tex] \large{2 x = - x + 3}[/tex]

Isolate the x-term by adding both sides by x.

[tex] \large{2x + x = - x + 3 + x} \\ \large{3x = 3}[/tex]

Divide both sides by 3 so we can finally get the x-isolated equation.

[tex] \large{ \frac{3x}{3} = \frac{3}{3} \longrightarrow x = 1 }[/tex]

Next step is to find the value of y. x-term and y-term both have relations. That means when substituting x-term, we get y-term. Therefore, substitute x = 1 in any given equations. It is not necessary to substitute both, only one is fine. I will choose the first equation to solve for y-value.

[tex] \large{y = 2x}[/tex]

Substitute x = 1:

[tex] \large{y = 2(1) \longrightarrow y = 2}[/tex]

The value of y is 2 when x is 1. Since we want the answer to be in coordinate form or ordered pair. From (x,y) - we get (1,2).

Answer

I hope this helps! Let me know if you have any questions or doubts. Do not hestitate to ask if you've got a question. Good luck on your assignment and have a great day!

Answer:

A is not a function

Step-by-step explanation:

In table A, the x value of 4 goes to two different y values

To be a function each x value can only go to one y value

A is not a function

Answer:

27 is the answer

Step-by-step explanation:

We have this proportion....

36 / 12 = x / 9 where x is the model door height

Cross-multiply

36*9 = 12 * x

324 = 12 *x divide both sides by 12

27 = x and that's the model height in centimeters

Answer:

Step-by-step explanation:

realtionship between distance and time is

distance=time/3

a.distance=time/3

129*3=time

387 s =time

Answer:

387

Step-by-step explanation:

129x3=387

Answer:

Step-by-step explanation: A

Answer:

B

Step-by-step explanation:

10 to 4

4 divided by 2 = 2, 2 x 5 = 10

15 to 6

6 divided by 2 = 3, 3 x 5 = 15

35 to 14

14 divided by 2 = 7, 7 x 5 = 35

Answer:

-true

Step-by-step explanation:

I'm correct if I'm rwong

Answer: Your answer is on the bottom of the photo I used an online note table

Step-by-step explanation:

Answer:

I think the answer is $3.24.

Step-by-step explanation:

4.86 / 3 = 1.62

$1.62 is equal to how much 1 kilogram of flour would cost.

1.62 x 2 = 3.24

Hope this helped.

Answer:

Its B (3,-4)

When rotating at point 180 degrees the equation for that is (-x,-y) so in this case (-3,4)

3 turns into a positive because two negatives equal a positive

and 4 turns into a negative

have a nice day :)

Answer:

The rate of simple interest is 0.125, or 12.5%.

Step-by-step explanation:

If the man must repay $750 after 4 years on a $500 loan, the simple interest would be ($750-$500), or $250.

The simple interest formula is i = p*r*t.  Solving this for the interest rate, r, yields

        i

r = ----------

       p*t

and so, with i = $250, p = $500 and t = 4 yr, we find r as follows:

         $250

r = ----------------- = 0.125

         $500*4

The rate of simple interest is 0.125, or 12.5%.

Answer:

pls provide diagram

it will hep

Answer:

30 m

Step-by-step explanation:

Midsegment of a Trapezoid

[tex]\frac{(Base_{1}) +( Base_{2}) }{2}[/tex]

[tex]\frac{12 + 38}{2}[/tex]

[tex]\frac{60}{2}[/tex]

30

Average of the top and bottom = the middle  

11/6 = 1. 8333

23/9= 2. 555

[tex]{hope it helps}}[/tex]

#CarryOnLearning

[tex]{{clickphoto2see}}the \: arnswer}}[/tex]

Answer:

Step-by-step explanation:

Answer:

Factor x3 – 7x2 – 5x + 35 by grouping. What is the resulting expression?

Step-by-step explanation:

Edge 2021

Polynomial is an expression that consists of indeterminates(variable) and coefficients. The correct option is A.

Polynomial is an expression that consists of indeterminates(variable) and coefficient, it involves mathematical operations such as addition, subtraction, multiplication, etc, and non-negative integer exponentials.

For the given expression x³ – 7x² – 5x + 35 the factorisation by grouping can be done as,

x³ – 7x² – 5x + 35

Take x² as common from the first two terms, while -5 as common from the last two terms,

= x²(x – 7) –5(x  – 7)

Take (x–7) as the common term from the two terms,

= (x² – 5)(x – 7)

Hence, the correct option is A.

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Hello,

[tex]f(x)=3x+3 \Longleftrightarrow y=3x+3\\\\x=3*y+3 \Longleftrightarrow y=\dfrac{x-3}{3} \\\\\boxed{f^{-1}(x)=\dfrac{x-3}{3}}[/tex]

Answer:

[tex]2.3\:\mathrm{in^3},\\1.3\:\mathrm{fl\:oz}[/tex]

Step-by-step explanation:

The volume of a cone with radius [tex]r[/tex] and height [tex]h[/tex] is equal to [tex]V=\frac{1}{3}\cdot r^2\pi\cdot h[/tex].

What we're given:

Substituting given values, we get:

[tex]V=\frac{1}{3}\cdot 1.1^2\pi \cdot 1.8=0.726\pi\approx \boxed{2.3\:\mathrm{in^3}}[/tex]

Convert to fluid ounces using the conversion given in the question:

[tex]0.726\pi}\cdot \frac{0.554}{1}\approx \boxed{{1.3\:\mathrm{fl\:oz.}}}[/tex]