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Vika [28.1K]
2 years ago
10

Which order pairs in the form (x,y) are solutions to the equation 6x-y/2=14 (-9,3),(2,-4)

Mathematics
1 answer:
Goshia [24]2 years ago
5 0

Answer:

(2,-4)

Step-by-step explanation:

Just plug in the numbers

6(2)- (-4)/2=14

12- -2=14

14=14

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A grocery​ store's receipts show that sunday customer purchases have a skewed distribution with a mean of ​$3030 and a standard
leva [86]

A. we use the z statistic to solve this problem

z = (x – u) / s

We calculate the value of the sample mean u and standard deviation s:

u = $30 * 304 = $9120

s = $21 * 304 = $6384

 

z = (9,600 – 9120) / 6384

z = 0.075

 

From the normal tables using right tailed test,

P = 0.47

 

B. At worst 11% means P = 0.11, so the z value at this is z = -1.23

-1.23 = (x – 9120) / 6384

x = 1267.68

4 0
3 years ago
Ricky withdrew a total of $175 from his bank account over 5 days. He withdrew the same amount each day. By how much did the amou
kifflom [539]

Answer:

$35

Step-by-step explanation:

175/5 = 35

have a nice day! (maybe get this double checked in case I did it wrong :D)

8 0
2 years ago
Which statement is true about the angles?
liq [111]

Complete Question:

Triangle abc has the angle mesausres shown.

m<A = (2x)°

m<B = (5x)°

m<C = (11x)°

Which statement is true about the angles?

A. m<A = 20°

B. m<B = 60°

C. m<A and m<B are complementary

D. m<A + m<C = 120°

Answer:

A. m<A = 20°

Step-by-step explanation:

m<A + m<B + m<C = 180° (sum of interior angles of a triangle)

2x + 5x + 11x = 180 (substitution)

Solve for x. Add like terms.

18x = 180

Divide both sides by 18

\frac{18x}{18} = \frac{180}{18}

x = 10

Find the measure of each angle by substituting x = 10:

m<A = (2x)° = 2(10) = 20°

m<B = (5x)° = 5(10) = 50°

m<C = (11x)° = 11(10) = 110°

Therefore, the only true statement is:

A. m<A = 20°

3 0
2 years ago
Read 2 more answers
Select all line segment measurements below that could NOT be used to form a triangle. a triangle with the side measurements of 3
lara31 [8.8K]

Answer:

a triangle with the side measurements of 2, 3, and 5 inches

a triangle with the side measurements of 7, 8, and 16 inches

a triangle with the side measurements of 4, 4, and 8 inches

Step-by-step explanation:

A triangle is a polygon shape with three sides and three angles. There are different types of triangles such as isosceles triangle, scalene triangle, equilateral triangle and right angle triangle.

The triangle inequality theorem states that the sum of any two sides of a triangle is always greater than the third side.

For a triangle with the side measurements of 3, 4, and 6 inches:

3 + 4 > 6. This can be a triangle

For a triangle with the side measurements of 2, 3, and 5 inches:

2 + 3 is not greater than 5, hence it cannot be a triangle

For a triangle with the side measurements of 3, 3, and 4 inches:

3 + 3 > 4. This can be a triangle

For a triangle with the side measurements of 5, 5, and 5 inches

5 + 5 > 5. This can be a triangle

For a triangle with the side measurements of 4, 4, and 8 inches:

4 + 4 is not greater than 8, hence it cannot be a triangle

For a triangle with the side measurements of 7, 8, and 16 inches:

7 + 8 is not greater than 16, hence it cannot be a triangle

8 0
3 years ago
How would I solve this Rational Equation? <br><br>Solve for all values of x.
Nesterboy [21]

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

I like to put these in the form f(x) = 0. We can do that by subtracting the right side. Common factors can be cancelled from numerator and denominator, provided they are not zero.

  \dfrac{7}{x+3}+\dfrac{3}{x-3}-\dfrac{x}{x-3}=0\\\\ \dfrac{7(x-3)+(x+3)(3-x)}{(x+3)(x-3)}=0\\\\\dfrac{(x-3)(4-x)}{(x-3)(x+3)}=0\\\\ \dfrac{4-x}{x+3}=0\qquad x\ne3\\\\x=4 \qquad\text{equate the numerator to zero, add $x$}

_____

If you leave the numerator as (x-3)(4-x), then there are two values of x that make it zero. Because x=3 makes the equation "undefined", it cannot be considered to be a solution.

4 0
2 years ago
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