In the formula e = hf, if e is doubled and f is halved, what happens to the value of h?

Answers

Answer 1

Answer: Then you have to multiply h by 4.

Answer 2

Answer: Then it's quadrupled

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Your school raised 125% of its fundraising goal.The School raised $6750.What was the goal?

Answers

Answer:

When school raised $ 6750 the goal was 5400

Step-by-step explanation:

Let the initial fundraising goal be 100.

as per the given statement your school raised 125% of its fundraising goal.

⇒ school raised = $(125)/(100) * 100 = $ 125$

Equivalent ratios are two ratios that express the same relationship between numbers.

then, By equivalent ratio :

$(125)/(100) = (6750)/(x)$

after cross multiply we get;

$125 x = 6750 * 100$

Divide both sides by 125 we get;

$(125x)/(125) =(6750 * 100)/(125)$

Simplify:

x = 5400

Therefore, the goal was 5400 when the school raised $ 6750

The goal was to raise $5400.
I got this by making this: x/6750=100/125
Then you cross multiply and solve for x

What is the slope of the line through (1, 9) and (–3, 16)?

Answers

For this case we have that by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Where:

$(x_ {1}, y_ {1})$ and $(x_ {2}, y_ {2})$ are two points through which the line passes.

We have as data that:

$(x_ {1}, y_ {1}) :( 1,9)\n(x_ {2}, y_ {2}): (- 3,16)$

Substituting we have:

$m = \frac {16-9} {- 3-1} = \frac {7} {- 4} = - \frac {7} {4}$

Thus, the slope of the line is $- \frac {7} {4}$

Answer:

$m = - \frac {7} {4}$

Answer:

-7/4.

Step-by-step explanation:

This is the difference in the y coordinates / corresponding difference in the x coordinates.

here it is (16 - 9) / (-3-1)

= 7 / -4

= -7/4.

The Pool Fun Company has learned that, by pricing a newly released Fun Noodle at $4, sales will reach 8000 Fun Noodles per day during the summer. Raising the price to $5 will cause the sales to fall to 6000 Fun Noodles per day. Assume that the relationship between sales price, x, and number of Fun Noodles sold, y, is linear. Write an equation in slope-intercept form describing this relationship. Use ordered pairs of the form (sales price, number sold).

type your answer in slope intercept
b. predict the daily sales of Fun Noodles if the price is $4.50

Answers

Answer: PART A:

The generic equation of the line is:

y-yo = m (x-xo)

First we look for the slope of the line:

m = (y2-y1) / (x2-x1)

m = ((5000) - (6000)) / (4-3)

m = -1000

Then, we substitute any point in the generic equation:

(xo, yo) = (4, 5000)

Substituting:

y-5000 = (- 1000) (x-4)

Rewriting:

y = -1000x + 4000 + 5000

y = -1000x + 9000

The equation is:

y = -1000x + 9000

PART B:

For the price of 3.50 we have:

y = -1000 * (3.5) +9000

y = 5500

Step-by-step explanation:

Solve each equation (quadratic pattern) $2^(2x) -2^(x) =12$

$3^(2x) + 3^(x+1) =4$

$4^(x) + 6$ · $2^(x) +8 = 0$

$9^(x) = 3^(x) +6$

Answers

Answer: x = 2

Step-by-step explanation:

$2^(2x)-2^x-12=0\n\n\text{Let u = }2^x\n\nu^2-u-12=0\n(u-4)(u+3)=0\n\nu-4=0\quad and\quad u+3=0\nu=4\qquad and\quad u=-3\n\n\text{Substitute u with }2^x\n2^x=4\qquad and \quad 2^x=-3\n2^x=2^2\quad and\quad \text{not possible}\n\boxed{x=2}$

********************************************************************************

Answer: x = 0

Step-by-step explanation:

$3^(2x)+3^(x+1)-4=0\n\n3^(2x)+3^x\cdot3^1-4=0\n\n\text{Let u = }3^x\nu^2+3u-4=0\n\n(u+4)(u-1)=0\n\nu+4=0\quad and\quad u-1=0\nu=-4\qquad and\quad u=1\n\n\text{Substitute u with }3^x\n3^x=-4\qquad and\quad 3^x=1\n\text{not possible}\ and\quad 3^x=3^0\n.\qquad \qquad \qquad \qquad \boxed{x=0}$

********************************************************************************

Answer: No Solution

Step-by-step explanation:

$4^x+6\cdot 2^x+8=0\n\n2\cdot 2^x+6\cdot 2^x+8=0\n\n\text{Let u = }2^x\n2u+6u+8=0\n8u+8=0\n8u=-8\nu=-1\n\n\text{Substitute u with }2^x\n2^x=-1\n\text{not possible}$

********************************************************************************

Answer: No Solution

Step-by-step explanation:

$9^x=3^x-6\n\n3\cdot 3^x=1\cdot 3^x-6\n\n\text{Let u = }3^x\n\n3u=u-6\n2u=-6\nu=-3\n\n\text{Substitute u with }3^x\n3^x=-3\n\text{not possible}$

-3(10+4v)=-6(5-9v)

step-by-step pls

Answers

Answer:

Step-by-step explanation:

Let's solve your equation step-by-step.

−3(10+4v)=−6(5−9v)

Step 1: Simplify both sides of the equation.

−3(10+4v)=−6(5−9v)

(−3)(10)+(−3)(4v)=(−6)(5)+(−6)(−9v)(Distribute)

−30+−12v=−30+54v

−12v−30=54v−30

Step 2: Subtract 54v from both sides.

−12v−30−54v=54v−30−54v

−66v−30=−30

Step 3: Add 30 to both sides.

−66v−30+30=−30+30

−66v=0

Step 4: Divide both sides by -66.

−66v

−66

v=0

Answer:

omg im so sorry

Step-by-step explanation:

Mary is booking a 4-night stay at a hotel. The rate is $79 per room plus tax. If state tax is 6%, city tax is 2%, and municipal tax is 1%, what is her total lodging cost?

Answers

Answer:$344.44

Step-by-step explanation:

Answer:

344.44

Step-by-step explanation:

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Write the definition of a function absoluteValue, that receives an integer parameter and returns the absolute value of the parameter's value. So, if the parameter's value is 7 or 803 or 141 the function returns 7, 803 or 141 respectively. But if the parameter's value is -22 or -57, the function returns 22 or 57 (same magnitude but a positive instead of a negative). And if the parameter's value is 0, the function returns 0.

I am not sure if this is right can someone check it ASAP please