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Alenkasestr [34]
4 years ago
5

Convert y − 2 = −4(x − 12) to standard form.

Mathematics
1 answer:
zimovet [89]4 years ago
6 0
A is the equation in standard form.
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Sara drove 96 miles on 3.2 gallons of gas. How many miles can Sara drive on 12.5 gallons of gas
Blababa [14]

Answer:

375 miles

Step-by-step explanation:

Create a proportion where x is the number of miles she can drive on 12.5 gallons of gas:

\frac{96}{3.2} = \frac{x}{12.5}

Cross multiply and solve for x:

3.2x = 1200

x = 375

So, with 12.5 gallons of gas, Sara can drive 375 miles

4 0
3 years ago
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Round 43,276 to the nearest 100
bezimeni [28]

Answer:

43,300

Step-by-step explanation:

Starting with 2 since its in the hundredths and going over one place to the tenths, we see 7 <em>is </em> greater than 5 so we make the 2 a 3 and replace everything after with 0's

43,300!!

4 0
3 years ago
The line plot below displays the fraction of incoming calls answered before the second ring by a group of employees. What fracti
Sonja [21]

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

4 0
3 years ago
It takes a crew 57 hours to install cabinets in one office. How long will it take the crew to install cabinets in 17 offices?
brilliants [131]

Answer:

969 hours

Step-by-step explanation:

5 0
4 years ago
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Explain why a quadratic equation with a positive discriminant has two real solutions, a quadratic equation with a negative discr
Bad White [126]

Answer:

A quadratic equation can be written as:

a*x^2 + b*x + c = 0.

where a, b and c are real numbers.

The solutions of this equation can be found by the equation:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

Where the determinant is D = b^2 - 4*a*c.

Now, if D>0

we have the square root of a positive number, which will be equal to a real number.

√D = R

then the solutions are:

x = \frac{-b +- R }{2*a}

Where each sign of R is a different solution for the equation.

If D< 0, we have the square root of a negative number, then we have a complex component:

√D = i*R

x = \frac{-b +- C*i }{2*a}

We have two complex solutions.

If D = 0

√0 = 0

then:

x = \frac{-b +- 0}{2*a} = \frac{-b}{2a}

We have only one real solution (or two equal solutions, depending on how you see it)

3 0
3 years ago
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