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3 years ago

. Multiply (3x+2)(4x-7)

Mathematics

2 answers:

natima [27]3 years ago

8 0

Answer:

$\boxed{ \bold{ \boxed{ \sf{12 {x}^{2} - 13x - 14}}}}$

Step-by-step explanation:

$\sf{(3x + 2)(4x - 7)}$

Use the distributive property to multiply each term of the first binomial by each term of the second binomial

$\longrightarrow{ \sf{3x(4x - 7) + 2(4x - 7)}}$

$\dashrightarrow{ \sf{12 {x}^{2} - 21x + 8x - 14}}$

Collect like terms

$\longrightarrow{ \sf{12 {x}^{2} - 13x - 14}}$

Hope I helped!

Best regards! :D

aleksklad [387]3 years ago

4 0

Answer:

12 $x^{2}$ + 29x - 14

Step-by-step explanation:

(3x+2)(4x-7)

Multiply out 3x first then 2

(3x * 4x) - (3x * -7) + (2 * 4x) + (2 * -7)

12 $x^{2}$ - (- 21x) + 8x + ( -14)

12 $x^{2}$ + 21x + 8x - 14 Combine like terms

12 $x^{2}$ + 29x - 14

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Suppose that we wish to assess whether more than 60 percent of all U.S. households in a particular income class bought life insu

IceJOKER [234]

Answer:

A. 0.0049

B. Yes

Step-by-step explanation:

Sample proportion = 0.64

N = 1000

Population proportion = 0.60

We solve for standard deviation

= √p(1-p)/n

= √0.60(1-0.60)/1000

= √0.60x0.40/1000

= √0.00024

= 0.0155

The probability of sample >=0.64

Z>=0.64-0.60/0.0155

Z >= 0.04/0.0155

So z >= 2.5806

Using excel this equal to 0.0049

0.0049 is probability of sample proportion being 0.64 at least.

This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.

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3 years ago

Given a=3, b=4 and c= -5, Evaluate the following expression

NeTakaya

Answer:

3a (2b-3c)

Step-by-step explanation:

9 (8- - 125)

should equal 1197

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3 years ago

Read 2 more answers

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jek_recluse [69]

Answer:

Step-by-step explanation:

6 0

2 years ago

Paul's mom sent him to the grocery store with $10 to buy bread and cheese for sandwiches. Paul picked out a loaf of bread that c

lutik1710 [3]

Given:

Total amount = $10

Cost of loaf of bread = $3.25

Cost of cheese = $5.99 per pound

Each slice weights = 0.04 pounds.

To find:

The inequality for the number of slices that Paul can afford to buy.

Solution:

Let x be the number of slices that Paul can afford to buy.

Weight of on slice is 0.04 pounds. So, weight of x slices is 0.04x pound.

Cost of cheese = $5.99 per pound

So, total cost of cheese for x slices = $5.99 × 0.04x

Now, Paul has $10 to buy bread and cheese for sandwiches. Cost of loaf of bread is $3.25.

$3.25+(5.99\times 0.04x)\leq 10$

$0.2396x\leq 10-3.25$

$0.2396x\leq 6.75$

Divide both sides by 0.2396.

$x\leq \dfrac{6.75}{0.2396}$

$x\leq 28.172$

The maximum integer value of x is 28.

Therefore, the required inequity is $3.25+(5.99\times 0.04x)\leq 10$ and 28 number of slices Paul can afford to buy.

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3 years ago

Solve the simultaneous equation<br>x + y = 4,<br>3x + y = 8

worty [1.4K]

Answer:

x=2, y=2

Step-by-step explanation:

x+y=4

3x+y=8

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2x=4

x=4/2

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y=4-2

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3 years ago