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Pani-rosa [81]
3 years ago
12

Erin clocked the top speed of her remote control car at 25 meters per second. Her brother Ben clocked the top speed of his remot

e controlled car at 63 miles per hour. To the nearest tenth, How many times faster was the faster car ?
Mathematics
1 answer:
exis [7]3 years ago
4 0

Sorry but..I don't even know where to start. Good luck!

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What is x squared minus 18x equal to negative 32
lisabon 2012 [21]

Answer:

x=16

x=2

Step-by-step explanation:

x^2-18x=-32\\x^2-18x+32=0\\(x-16)(x-2)=0\\\\x-16=0\\x=16\\\\x-2=0\\x=2

8 0
3 years ago
The daily profit P ​(in thousands of​ dollars) from the sale of televisions is a function of the number x of televisions sold ​(
scZoUnD [109]

Answer:

The break-even sales amounts​ is 36 or 224.

Step-by-step explanation:

Consider the provided function.

P= -5x^2 + 13x - 4

Where x is the number of televisions sold (in hundreds) and P is the profit.

We need to calculate the break-even sales amounts​.

the​ break-even sales amounts​ is the sales amounts that result in no profit or​ loss.

That means substitute P=0 and solve for x.

-5x^2 + 13x - 4=0

5x^2-13x+4=0

\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Substitute a=4, b=-13 and c=4 in above formula.

x_{1,\:2}=\frac{-\left(-13\right)\pm \sqrt{\left(-13\right)^2-4\cdot \:5\cdot \:4}}{2\cdot \:5}

x_{1,\:2}=\frac{13\pm\sqrt{169-80}}{10}

x_{1,\:2}=\frac{13\pm\sqrt{89}}{10}

x=\frac{13+\sqrt{89}}{10},\:x=\frac{13-\sqrt{89}}{10}\\x\approx2.243, \ or\ x\approx 0.357

Therefore, the break-even sales amounts​ is 36 or 224.

7 0
3 years ago
Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).
PilotLPTM [1.2K]

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

<u>Given</u>

  • y =3/4x -4
  • (-1, 7)

<u>Convert to point slope form</u>

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

<u>Distribute -4/3</u>

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

<u>Add seven in both sides</u>

21/3 -4/3 = 17/3

y = -4/3x + 17/2

<u>Answer</u>

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

3 0
3 years ago
joey made a deposit into an account that earns 6% simple interest.After three years, joey had earned $400. How much was joey's i
Sergio [31]

Answer:

Step-by-step explanation:

To find the amount deposited, we will simply use the formula for calculating simple interest.

Simple Interest = pxrxt/100     (fraction)

Where p = principal

      R= Rate

           T= Time

Principal is the initial amount deposited which we are ask to find.

R is given to be 6%  and T is the time which is given in years

Simple interest is the interest earned over the year which is given to be $400

Lets substitute our variable into the equation

Simple Interest = pxrxt/100    (fraction)

$400  = P × 6 × 3   /     100

$400 = 18p/100    (fraction)

We will then cross multiply

$40 000  =   18 P

To get  the value of P, we divide both-side of the equation by 18

4000/18 = 18p/18     (fractions)

$2222.22 =  P

P = $2222.22

credits: ummuabdallah

3 0
3 years ago
Read 2 more answers
Solve the following system of equations by substitution. 3x + 2y = -12 x = 2 A. (2, -9) B. (-2, -3) C. (3, 2) D. (2, 3)
Brilliant_brown [7]
Plugging it in, we get (3)(2)+2y=-12 and 6+2y=-12. Subtracting 6 from both sides, we get -18=2y and dividing by 2 we get y=-9  to get (2, -9) since x is first in the pair
4 0
3 years ago
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