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Genrish500 [490]
3 years ago
9

Solve the system of equations. -5x+2y=9. y=7x

Mathematics
1 answer:
il63 [147K]3 years ago
7 0

- 5x + 2y = 9 \\ y = 7x \\  \\  - 5x + 2 \times 7x = 9 \\  - 5x + 14x = 9 \\ 9x = 9 \\ x = 1 \\  \\ y = 7 \times 1 = 7 \\

Answer: (1; 7)

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Marcus sorts his 85 baseballs cards into stacks of 9 each. How many stacks of 9 cards can marcus make
PSYCHO15rus [73]

Answer:

He can only make 9

Step-by-step explanation:

He will have 4 cards left over so it will not be enough to make another stack.

5 0
3 years ago
Read 2 more answers
Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling
lara31 [8.8K]

Answer:

Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

Step-by-step explanation:

Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies wants test whether her goal of shipping 100% orders within 24 hours is achieved or not.

After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.

To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).

Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372  were shipped within 24 hours.

The hypothesis can be defined as follows:

<em>H₀</em>: The proportion of orders that were shipped within 24 hours is not more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ ≥ <em>p</em>₂.

<em>Hₐ</em>: The proportion of orders that were shipped within 24 hours is more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ < <em>p</em>₂.

Thus, Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

8 0
3 years ago
2<br> x<br> ×<br> 2<br> x<br> ×<br> 2<br> x<br> ×<br> 2<br> x<br> ×<br> 2<br> x
9966 [12]

Answer:

10x

Step-by-step explanation:

2x times 5x is 10x

3 0
3 years ago
Please help me out!!!!!
Neko [114]

Given:

The zeros of the polynomial are -2,\pm 5,4.

Degree = 4

Leading coefficient  = 1

To find:

The polynomial.

Solution:

If c is a zero of a polynomial, then (x-c) must be a factor of the polynomial.

Here, -2,4,-5, 5, are zeros of the required polynomial, so (x+2), (x-4), (x+5), (x-5) are factors of required polynomial.

p(x)=(x+2)(x-4)(x+5)(x-5)

p(x)=(x^2-4x+2x-8)(x^2-5^2)     [\because a^2-b^2=(a-b)(a+b)]

p(x)=(x^2-2x-8)(x^2-25)

Using distributive property, we get

p(x)=x^2(x^2-25)-2x(x^2-25)-8(x^2-25)

p(x)=x^4-25x^2-2x^3+50x-8x^2+200

On combining like terms, we get

p(x)=x^4-2x^3+(-25x^2-8x^2)+50x+200

p(x)=x^4-2x^3-33x^2+50x+200

Here, the leading coefficient is 1. So, it is the required polynomial.

Therefore, the correct option is E.

3 0
2 years ago
he knows that the length is 10 feet more than the width, and the total area is 144 feet. Find the dimensions of in feet of Javon
finlep [7]

Answer:

A) length = width +10

B) length * width = 144 OR

B) width = 144 /length  putting B) into A)

A) length = 144 / length + 10 then solving for length

A) length^2 = 144 +10 length

A) length^2 -10 length - 144 = 0  then we factor

(length -18) * (length +8) = 0

length = 18 feet

width = 8 feet

Step-by-step explanation:

6 0
2 years ago
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