Write an equation in slope-intercept form for a line that passes through the point (4,-8) and is parallel to the line y=-3x+7

Answer:

16.5 pages

Step-by-step explanation:

Number of pages Ingrid types = 3

Number of pages Tanya types = 4.5

The proportion to find how many pages Tanya would have typed (x), if Ingrid typed 11 pages would be as follows:

3 : 4.5 = 11 : x

Thus:

[tex] \frac{3}{4.5} = \frac{11}{x} [/tex]

Cross multiply

[tex] 3*x = 11*4.5 [/tex]

[tex] 3x = 49.5 [/tex]

Divide both sides by 3

x = 16.5 pages

Answer:

It is used to find a side of a triangle.

Step-by-step explanation:

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

Remember : This only works in Right angled triangles.

Answer:

Step-by-step explanation:

Answer:5

Step-by-step explanation:

Answer:

Rewriting the equation in the form (x+c)²=d by completing the square

The solutions to the quadratic equation are:

Step-by-step explanation:

Given the equation

[tex]x^2+10x+22=13[/tex]

subtract 22 from both sides

[tex]x^2+10x+22-22=13-22[/tex]

simplify

[tex]x^2+10x=-9[/tex]

Rewriting the equation in the form (x+c)²=d by completing the square

[tex]x^2+10x+5^2=-9+5^2[/tex]

[tex]x^2+10x+5^2=16[/tex]

[tex]\left(x+5\right)^2=16[/tex]

[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]

solve

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

[tex]x+5=\sqrt{4^2}[/tex]

[tex]x+5=4[/tex]

[tex]x=-1[/tex]

also solving

[tex]x+5=-\sqrt{16}[/tex]

[tex]x+5=-4[/tex]

[tex]x=-9[/tex]

Therefore, the solutions to the quadratic equation are:

[tex]x=-1,\:x=-9[/tex]

Answer:

[tex]x=2, y=3[/tex]

Step-by-step explanation:

Given equations:

[tex]10x-7y=-1[/tex]

[tex]-2x-7y=-25[/tex]

We can subtract the two equations from each other to eliminate [tex]y[/tex] to solve for [tex]x[/tex]:

[tex]10x-7y-(-2x-7y)=-1-(-25)[/tex]

[tex]10x-7y+2x+7y=-1+25[/tex]

[tex]12x=24[/tex]

[tex]x=2[/tex]

Now, we can use substitution to solve for [tex]y[/tex]:

[tex]10x-7y=-1[/tex]

[tex]10(2)-7y=-1[/tex]

[tex]20-7y=-1[/tex]

[tex]7y=21[/tex]

[tex]y=3[/tex]

∴ [tex]x=2, y=3[/tex]

Hope this helps :)

Answer: Jenns account has the greater simple interest rate

Step-by-step explanation: The formula for simple interest is:

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Solve for r

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenns account has the highest simple interest rate.

Answer:

the new height is now 1 inch

Step-by-step explanation:

Answer:

I also think its option 3

Step-by-step explanation:

Answer:

neither.

Step-by-step explanation:

option 3!

Answer

$305 hope this helps!!! :)

Step-by-step explanation:

(A)

Let [tex]x[/tex] be the number of T-Shirts and [tex]y[/tex] be the total costs so that the total cost is:

                       Total Cost= $25+ $8 times the number of T-Shirts

      (B)                                               [tex]y=25+8x[/tex]

     For 35 members we need 35 T-Shirts so using the Linear model from part (A) substitute [tex]x[/tex] to 35 and solve for [tex]y[/tex]:

                                              [tex]y=25+8(35)[/tex]

                                               [tex]y=25+280[/tex]

                                                  [tex]y=305[/tex]

Answer:

Gary can go 4.9 miles in 84 minutes.

Step-by-step explanation:

First, you need to determine the amount of hours 84 minutes represent considering that 60 minutes are equal to an hour:

60 minutes → 1 hour

84 minutes →      x

x=(84*1)/60=1.4 hours

Now, 1.4 hours would be the time which is x and you can replace the value on the formula to find y:

y=3.5x

y=3.5(1.4)

y=4.9

According to this, the answer is that Gary can go 4.9 miles in 84 minutes.

Answer:

The temperature of both appliances is 70° after 6 hours.

At 6 hours, both temperatures will be equal

Step-by-step explanation:

Equations

Let's call

T1 = Temperature inside of the refrigerator

T2 = Temperature inside of the oven.

x  =  Time in hours elapsed since the power goes out.

We know the temperature of the refrigerator rises at 5° per hour. Thus the function that models its temperature is:

T1 = 40 + 5x

We are also given the oven temperature drops by 45° per hour, thus:

T2 = 340 - 45x

a) Find the value of x for both temperatures to be the same.

We equal T1 and T2:

40 + 5x = 340 - 45x

Adding 45x

40 + 5x + 45x = 340

Subtracting 40:

5x + 45x = 340 - 40

Operating:

50x = 300

x = 300/50

x = 6

At 6 hours, both temperatures will be equal

b)

The common temperature can be found by substituting x in any function:

T1 = 40 + 5x = 40 + 5(6) = 40 + 30 = 70

T2 = 340 - 45x = 340 - 45(6) = 70

The temperature of both appliances is 70° after 6 hours.

Answer: (1,1) (2,2)

Step-by-step explanation: got it right on edg

Answer:

C. (1,1)

E. (2, 2)

Step-by-step explanation:

Answer:

y =  [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer

y =  [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer

y =  [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer

y =  [tex]\frac{1}{3}[/tex] x ⇒ 8th answer

Step-by-step explanation:

The product of the slopes of the perpendicular lines is -1

The form of the linear equation is y = m x + b, where

∵ The equation of the given line is y = -3x + 2

→ Compare it with the form of the equation above

∴ m = -3

→ To find the slope of the perpendicular line to it reciprocal it and

    change its sign

∴ The slope of the perpendicular line to it is = [tex]\frac{1}{3}[/tex]

→ Choose all the equations that have m = [tex]\frac{1}{3}[/tex]

∴ y =  [tex]\frac{1}{3}[/tex] x - 3 ⇒ 3rd answer

∴ y =  [tex]\frac{1}{3}[/tex] x + 7 ⇒ 4th answer

∴ y =  [tex]\frac{1}{3}[/tex] x + 3.63917 ⇒ 6th answer

∴ y =  [tex]\frac{1}{3}[/tex] x ⇒ 8th answer

9514 1404 393

Answer:

  f(t) = 17.5cos(π(t-7)/6) +59

Step-by-step explanation:

When modeling earth data that has a daily or annual cyclic variation, the simplest sort of model is a sine or cosine function of some sort. Generally, its period will be 1 day or 1 year (or about 1/2 day, if you're modeling tides).

To write the trig function, you need to know ...

These values will go into the general form ...

  f(t) = A·cos(2π(t -C)/B) +D

__

In this particular form, the cosine function has a value of 1 when t=C, so we can choose C to be the value of t where f(t) is a maximum. In your data table, the maximum temperature is in July, where you have said t=7. So, C=7.

The period is 12 months, so B=12.

The amplitude (A) is half the difference between the minimum and maximum:

  A = (76.5 -41.5)/2 = 17.5

The offset (D) is the average of the maximum and minimum:

  D = (76.5 +41.5)/2 = 59

__

Using these values in the above form, we have ...

  f(t) = 17.5cos(2π(t-7)/12) +59

__

Additional comments

You can see in the attachment that we have matched the maximum and minimum values exactly. A more sophisticated model is needed to adjust the function to match more of the data points.

Or, you may get a slightly better match if you use a sine regression model (least-squares best fit). That sort of modeling is best done using a graphing calculator or spreadsheet. The details are beyond the scope of this answer.

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[tex]y = \frac{1}{2} x + 1 \\ [/tex]

Multiply sides by 2

[tex]2 \times y = 2 \times ( \frac{1}{2} x + 1) \\ [/tex]

[tex]2y =( 2 \times \frac{1}{2} x) + (2 \times 1) \\ [/tex]

[tex]2y = x + 2[/tex]

[tex]x + 2 = 2y[/tex]

Subtract sides 2

[tex]x + 2 - 2 = 2y - 2[/tex]

[tex]x = 2y - 2[/tex]

Done...

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Answer:

Step-by-step explanation:

Question: y = 1/2x + 1

Given:

equation: y = 1/2x + 1

Unknown:

Equation in x = ?

1. Move the x variable to the side that the y is on.

y = 1/2x + 1

-1/2x -1/2x

2. Move the y to the side of the y-intercept

y - 1/2x = 1

-y - y

3. Divide both sides by -1/2 or multiply by -2

-1/2x = -y + 1

*-2 -2(-y + 1)

Hope it helped,

Kavitha Banarjee

Answer:

Angle B is 14 I think, but I am not sure.

Step-by-step explanation:

Answer:

24 candy bars

Step-by-step explanation:

3 = $2.17

x = $17.36

cross-multiplying, we have;

x = (17.36 × 3)/2.17

x = 24

Therefore, you can buy 24 candy bars

Answer:

The 2nd triangle

Step-by-step explanation:

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as,

H² = P² + B²

The Pythagoras theorem is applied in the right-angle triangle.

In the second triangle, then the third side of the triangle is calculated as,

4² + 4² = C²

The second triangle satisfies the equation 4² + 4² = C². Then the correct option is B.

More about the Pythagoras theorem link is given below.

https://brainly.com/question/343682

#SPJ7

Simplify the expression.

2m

Answer:

What problem do you need help with.

Answer 31.4-36x+22msxi

Step-by-step explanation:

Answer: 1/6 x ( x + 12 )

Step-by-step explanation:

Answer: If she's willing to calculate within mph, she needs to know a certain distance her brother can run, and how long it takes to run that distance.

Answer:

3/8

Step-by-step explanation:

If 1/4 is equaled to 1. This is 1 dived by 4 to get the 1/4.

Then 1.5 would be divided by 4 to get 3/8

Answer:

For 3 different values of x

Step-by-step explanation:

Here, we want to get the values of x for which

√(48/x) is a whole number

We have to consider that the values of x that will make the expression a whole number must be less than or equal to 48

Also, we have to consider that, the division we have to make must yield a perfect square so as to have a whole number square root

The factors of 48 that can yield a whole number are;

1,2,3,4,6,8,12,16,24 and 48

However, the divisions that can yield a perfect square are

3 (yield 16)

12 ( yield 4)

48 ( yield 1)

So the numbers of the value of x that can yield a whole number is 3

Answer:

B: 3

Step-by-step explanation:

edg 2020

Answer:

x > 25

Step-by-step explanation:

This question relates to algebra. We can solve this problem by creating a variable for the solution (which we will find). We will link the variable in an equation l with the information given.

So let's translate each piece of information mathematically. First, the question tells us "Three times a number." The first part uses multiplication (times) linked to our number (we will use x for our variable). So we write:

3x

The second part is "increased by twice the number" Increasing is adding (+) so we add two times the number. So:

3x + 2x

The final part says "is greater than 125"  so we need to use the > sign

3x + 2x > 125

Now we can solve by collecting like terms and moving them to a different side.

5x > 125

x > 25