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3 years ago

Which of these statements is correct?

Mathematics

2 answers:

Komok [63]3 years ago

6 0

Answer:

Step-by-step explanation:

mariarad [96]3 years ago

3 0

Answer:

The answer to your question is the third choice.

Step-by-step explanation:

a) 6x - 5y = 8

12x - 10y = 16

We observe that these lines are the same so they have infinite solutions.

7x + 2y = 6

14x + 4y = 16

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

8x - 3y = 10

16x - 6y = 22

These lines are parallel because they have the same slope, so they do not cross, there is no solution.

9x + 6y = 14

18x + 12y = 26

These lines are parallel because they have the same slope, so they do not cross, they do not have an infinite number of solutions.

You might be interested in

Water boils at 100LaTeX: ^\circ∘ Celsius or 212LaTeX: ^\circ∘ Fahrenheit. Water freezes at 0LaTeX: ^\circ∘ Celsius or 32LaTeX: ^

Lubov Fominskaja [6]

Answer:

$F = 1.8C +32$

$F = 86^{\circ}F$

Step-by-step explanation:

Represent Celsius with C and Fahrenheit with F.

So, we have:

$(C_1,F_1) = (100,212)$

$(C_2,F_2) = (0,32)$

Solving (a): Represent as a linear equation

First, we calculate the slope:

$m = \frac{F_2 - F_1}{C_2 - C_1}$

This gives:

$m = \frac{32 - 212}{0 - 100}$

$m = \frac{-180}{- 100}$

$m = 1.8$

The linear equation is then calculated using:

$F - F_1 = m(C -C_1)$

Where

$(C_1,F_1) = (100,212)$

$m = 1.8$

$F - 212 = 1.8(C -100)$

$F - 212 = 1.8C -180$

Make F the subject

$F = 1.8C -180+212$

$F = 1.8C +32$

Solving (b): The value of F when C = 30

Substitute 30 for C in $F = 1.8C +32$

$F = 1.8 * 30 + 32$

$F = 54 + 32$

$F = 86$

8 0

3 years ago

Read 2 more answers

In speed skating, the distance of 10,000 meters consists of 25 laps. A skater sets the

xxMikexx [17]

Answer:

B) -0.4 seconds

Step-by-step explanation:

Laps: 25

Goal: -10 seconds to all 25 laps combined (10 seconds difference => -10)

divide by total laps

-10 /25 = -0.4s difference each lap

6 0

4 years ago

Draw a line representing the “rise” and a line representing the “run” of the line. State the slope of the line in simplest form.

Oksanka [162]

The slope of the line in its simplest form is 3.

The slope of a line is $Slope=\frac{Rise}{Run}$ .

We need to find the slope of the line in its simplest form.

<h3>What is the slope?</h3>

In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line. The slope is often denoted by the letter m; there is no clear answer to the question of why the letter m is used for slope.

Select any two points on the line like A and B.

From the below figure it is clear that

Rise = Change in y = -2-(-5) = 3

Run = Change in x = 9-0 = 9

Now, $\frac{9}{3} =3$

Therefore, the slope of the line in simplest form is 3.

To learn more about the slope visit:

brainly.com/question/3605446.

#SPJ1

6 0

2 years ago

7. Find the amount of money accumulated if you invest $10,000 at 3% interest compounded continuously for 2 years. Round your

IrinaK [193]

Answer:

$10618.37

Step-by-step explanation:

Use the formula for compound interest:

P(t) = P_0e^(rt)

You can look the formula up online to find what each variable represents.

First, our principal amount (P) is 10,000. Our interest rate (r) is 3% and our time (t) is 2. Substitute these into the equations in each variables' place. The equation will look like this:

P(t) = 10,000e^(0.03x2)

P(t) = 10,000e^(0.06)

Note that e is approximately 2.7183 .

Using your calculator, now simply find P(t).

You should get 10618.36972 as your answer. Round that to the nearest cent to get $10618.37 .

4 0

3 years ago

Any one know the answer for this question??????

Romashka [77]

Answer:

C) y > 0

Step-by-step explanation:

I graphed it

7 0

2 years ago