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3 years ago

Which graph represents the solution set for the system 2x + 5y ≤ 9 and 3x + 5y ≤ 9?

Mathematics

2 answers:

Solnce55 [7]3 years ago

6 0

The answer is graph B. Have a nice day!

Monica [59]3 years ago

5 0

Answer:

The graph B (see the attached figure)

Step-by-step explanation:

we have

$2x+5y\leq 9$ -------> inequality A

$3x+5y\leq 9$ -------> inequality B

Using a graphing tool ------> solve the system of inequalities

The solution is the shaded area

see the attached figure

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Add (7х2 – 3x) + (5х – 6).

Masja [62]

Option C: The solution is $7x^{2} +2x-6$

Explanation:

The given expression is $(7x^{2} -3x)+(5x-6)$

We need to solution of the given expression.

The solution of the given expression can be determined by adding the two expressions.

Let us remove the parenthesis.

Thus, we have,

$7x^{2} -3x+5x-6$

Adding the like terms, we have,

$7x^{2} +2x-6$

Thus, the solution is $7x^{2} +2x-6$

Hence, Option C is the correct answer.

5 0

3 years ago

Identify the factored form of each polynomial. 4r + 11x + 6 4x + 10x + 6 11. 4r + 14x +6 (4x+3)(x+2) :: (x+3)(4x + 2) :: (2x+3)(

Neporo4naja [7]

Answer:

1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)

2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)

3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)

Step-by-step explanation:

Factor: 4x^(2)+11x+6 (step by step)

1) Split the second term (11x) into two terms

4x^2 + 8x + 3x + 6

2)Factor out common terms in the first two terms, then in the last two terms.

4x(x + 2) + 3(x + 2)

3) Factor out the common term x + 2

(x + 2) (4x + 3)

Repeat the above steps for similar questions!

4 0

3 years ago

Shanice wanted to make note cards by

Leni [432]

Answer:

8 pieces of paper

Step-by-step explanation:

Since the paper was cut into two, divide the half-pieces by 2 go get the amount of full-sized paper. And since Shanie got 2 more pieces of paper before she started, you subtract 2 from 10, which leaves you with 8 pieces of full-sized paper.

3 0

3 years ago

Solve for x 3x-1=9x+2

ANEK [815]

3x - 1 = 9x + 2

3x (-3x) - 1 (-2) = 9x (-3x) + 2 (-2)

-3 = 6x

-3/6 = 6x/6

-1/2 = x

hope thsi helps

4 0

3 years ago

Read 2 more answers

4. Is rap music more popular among young Indians than among young Asians? A sample survey compared 634 randomly chosen Indians a

bulgar [2K]

Answer:

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap music every day.

Step-by-step explanation:

Given a sample survey compared 634 randomly chosen Indians aged 15 to 25 with 567 randomly selected Asians in the same age group.

$p_{1} = \frac{368}{634} =0.580$

It found that 368 of the Indians and 130 Asians listened to rap music every day.

$p_{2} = \frac{130}{567} =0.229$

Null hypothesis H0: there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

$p_{1} = p_{2}$

Alternative hypothesis:- $p_{1} \neq p_{2}$

Level of significance α = 0.05

The test of statistic

$z = \frac{p_{1} - p_{2}}{\sqrt{pq(\frac{1}{n_{1} }+\frac{1}{n_{2} }) } } }$

where $p = \frac{n_{1}p_{1} + n_{1}p_{2}}{n_{1}+n_{2}} = \frac{634(0.580)+567(0.229)}{634+567}$

p = 0.414

and q = 1-p = 1- 0.414 =0.586

$Z = \frac{0.580-0.229}{\sqrt{0.414(0.586)(\frac{1}{634} +\frac{1}{567} } } }$

on calculation , we get

z = 0.300 ><1.96 at 95 % level of significance

H0 is accepted

there is no difference between the proportions of Indian and Asian young people who listen to rap every day.

3 0

3 years ago