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3 years ago

Can someone solve these simultaneous equations and explain the way to do this easily:

1 answer:

N76 [4]3 years ago

8 0

The easiest way to solve this system of equations is by elimination. Both equations have a 3x term, so we can basically subtract the equations to cancel the 3x. Then we will be left with a single variable to solve for.

(3x + y = -4)
-(3x -4y = 6)

Distribute the negative:

(3x + y = -4)
(-3x + 4y = -6)

Now add the equations together term by term:

0x + 5y = -10

5y = -10

y = -2

Plug y = -2 into either equation to find x.

3x + (-2) = -4

3x = -2

x = -2/3

So the answer as an ordered pair is (-2/3, -2)

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Scilla [17]

Answer:

D 1/4

Step-by-step explanation:

Your question is a problem in reading comprehension. It tells you its own answer.

x is always 1/4

3 0

2 years ago

A rectangular prism measures 3ft by 6ft by 5ft. If the dimensions of the box were all quadrupled. How would the surface area of

Blababa [14]

The surface area of a shape is the amount of space on the shape

When the dimensions are quadrupled, the new surface area would be 16 times the initial surface area

<h3>How to determine the surface area</h3>

The surface area of a rectangular prism is:

$S = 2 * (lw + lh + wh)$

When quadrupled, we have:

$S_2 = 2 * (16lw + 16lh + 16wh)$

Factor out 16

$S_2 =16 * 2 * (lw + lh + wh)$

Substitute $S = 2 * (lw + lh + wh)$

$S_2 =16 * 2 * S$

The above means that:

The new surface area would be 16 times the initial surface area

Read more about surface areas at:

brainly.com/question/24571594

3 0

2 years ago

How many cubic inches of water can a sphere hold that has a radius of 28in?

soldier1979 [14.2K]

Answer: 18.5 in

Step-by-step explanation:

You need to be more specific

3 0

3 years ago

For what value of a does (1/9)^a+1 =81^a+1 x 27^2-a ? -4 -2 2 6

EastWind [94]

Answer:

- 4

Step-by-step explanation:

Using the rule of exponents

• $a^{m}$ × $a^{n}$ ⇔ $a^{(m+n)}$

• $a^{-m}$ ⇔ $\frac{1}{a^{m} }$

$(\frac{1}{9}) ^{a+1}$ = $9^{-(a+1)}$ = $3^{-2(a+1)}$

and right side

= $3^{4(a+1)}$ × $3^{3(2-a)}$

Hence

$3^{-2a-2}$ = $3^{4a+4}$ × $3^{6-3a}$

$3^{-2a-2}$ = $3^{a+10}$

Equating exponents on both sides gives

a + 10 = - 2a - 2 ( add 2a to both sides )

3a + 10 = - 2 (subtract 10 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4

4 0

4 years ago

Read 2 more answers

he response times for a random sample of 40 medical emergencies were tabulated. The sample mean is 13.25 minutes. The population

Gwar [14]

Answer:

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

The EMS director wants to service goal of 12 minutes or less is being achieved

Step-by-step explanation:

Step(i):-

Given that the size of the random sample = 40

Given that the mean of the sample (x ⁻) = 13.25

Given that the standard deviation of the Population = 3.2 minutes

Level of significance = 0.05

The mean of the Population (μ) = 12

Step(ii):-

Null hypothesis:-H₀: (μ) = 12

Alternative Hypothesis: H₁ : μ < 12

Test statistic

$Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }$

$Z = \frac{13.25-12 }{\frac{3.2}{\sqrt{40} } }$

Z = 2.5

The tabulated value Z₀.₀₅ = 1.96

The calculated value Z = 2.5 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

The Alternative hypothesis is rejected

Final answer:-

The EMS director wants to service goal of 12 minutes or less is being achieved

3 0

3 years ago