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3 years ago

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Marla did 65 set ups each day for a week use the distributive property to show an expression you can use to find the total numbe

r of sit ups Marla did during the week

1 answer:

Maslowich3 years ago

5 0

<span>X = 65(7)
X = 455
Marla did 455 sit-ups in a week</span>

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Find the mean, median, and mode of the data set. Round your answers to the nearest tenth if necessary.

bekas [8.4K]

Answer:

Mean: 83.2

Median: 82.5

Mode: 72

Step-by-step explanation:

If you put them all in order, Its really straightforward from there.

3 0

3 years ago

Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.

AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= $\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

x₂ = $\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

<u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
<u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
<u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: $b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104$

Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = $\frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}$

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂= $\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}$

These are our two solutions in the imaginary numbers.

7 0

3 years ago

A line with a slope of 1 passes through the point (18, 15). What is its equation in slope-intercept form? Write your answer usin

Setler79 [48]

Answer:

y = x - 13

Step-by-step explanation:

Given parameters:

Slope of the line = 1

Coordinate = (18, 15)

Unknown:

Equation of the line in slope-intercept format = ?

Solution:

The equation of a line is expressed as;

y = mx + c

where y and x are the coordinates

m is the slope

c is the y-intercept

Now, sine x = 18 and y = 5, let us find c;

5 = 1(18) + c

5 = 18 + c

c = -13;

The equation of the line is;

y = 1(x) + (-13)

y = x - 13

4 0

3 years ago

JUST NEED THE ANSWER WILL GIVE BRAINLIEST TO WHO EVER ANSWER FIRST AND GETS IT RIGHT :)

Lorico [155]

2/21 is the answer.
1/3+4/7=19/21

Hope this helps!

7 0

3 years ago

The time is 1:25 A.M. What time will it be in 6 hours and 55 minutes?

uranmaximum [27]

Answer:

8:20 am

Step-by-step explanation:

8 0

3 years ago