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3 years ago

What is the y-intercept and slope of the equation: y=6x+2

Mathematics

2 answers:

Nimfa-mama [501]3 years ago

8 0

Answer: y intercept is 2 and slope is 6 or 6/1

Step-by-step explanation:

The number in front of x is always the slope in a y=Mx+b equation and the other number is the y intercept

muminat3 years ago

4 0

Answer: the y-intercept is 4 and the slope is 6

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Indicate the method you would use

FinnZ [79.3K]

Answer:

correct choice is 1st option

Step-by-step explanation:

Two given triangles have two pairs of congruent sides: one pair of length 7 units and second pair of length 8 units. The third side is common, i.e the lengths of third sides are equal too.

Use SSS theorem that states that if three sides of one triangle are congruent to three sides of another triangle, then these two triangles are congruent.

Thus, given triangles are congruent by SSS theorem.

7 0

3 years ago

Fitness experts advise people who want to lose weight to drink protein shakes after workout sessions, because it helps build mus

Artemon [7]

Answer:

Part A

The probability of the treatment groups mean being greater than the control group mean by 8points or more = (26+8+2)/1000 = 0.036

Part B

Yes, the result is statistically significant because the probability of the difference being 8point or more is less than 5% significant level

Part C

The answers is 0.036 means that there is a very little chance of obtaining difference of 8points or more by random chance. So, if the difference between treatment group mean and control group mean is at least 8 , then the result is significant which means protein shaken is actually helpful in speeding up the weight-10 process

6 0

3 years ago

A bookshelf is 42 inches long. How many books of length 1\frac{1}{2}1 2 1 inches will fit on the bookshelf? Explain your reaso

Blababa [14]

Answer: See explanation

Step-by-step explanation:

Your question isn't well written but I saw an identical question:

A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?

For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:

= 42 ÷ 1 1/4

= 42 ÷ 5/4

= 42 × 4/5

= 33 3/5

Therefore, the number of books that will fit on the shelf is 33.

7 0

2 years ago

Hi! Pleaseee help!!!

dusya [7]

Answer: what is the problem

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of salt is flowing in at 1 lite

zhenek [66]

Answer:

Therefore the concentration of salt in the incoming brine is 1.73 g/L.

Step-by-step explanation:

Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.

Let the concentration of salt be a gram/L

Let the amount salt in the tank at any time t be Q(t).

$\frac{dQ}{dt} =\textrm {incoming rate - outgoing rate}$

Incoming rate = (a g/L)×(1 L/min)

=a g/min

The concentration of salt in the tank at any time t is = $\frac{Q(t)}{10}$ g/L

Outgoing rate = $(\frac{Q(t)}{10} g/L)(1 L/ min)$ $\frac{Q(t)}{10} g/min$

$\frac{dQ}{dt} = a- \frac{Q(t)}{10}$

$\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt$

Integrating both sides

$\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt$

$\Rightarrow -log|10a-Q(t)|=\frac{1}{10} t +c$ [ where c arbitrary constant]

Initial condition when t= 20 , Q(t)= 15 gram

$\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c$

$\Rightarrow -log|10a-15|-2=c$

Therefore ,

$-log|10a-Q(t)|=\frac{1}{10} t -log|10a-15|-2$ .......(1)

In the starting time t=0 and Q(t)=0

Putting t=0 and Q(t)=0 in equation (1) we get

$- log|10a|= -log|10a-15| -2$

$\Rightarrow- log|10a|+log|10a-15|= -2$

$\Rightarrow log|\frac{10a-15}{10a}|= -2$

$\Rightarrow |\frac{10a-15}{10a}|=e ^{-2}$

$\Rightarrow 1-\frac{15}{10a} =e^{-2}$

$\Rightarrow \frac{15}{10a} =1-e^{-2}$

$\Rightarrow \frac{3}{2a} =1-e^{-2}$

$\Rightarrow2a= \frac{3}{1-e^{-2}}$

$\Rightarrow a = 1.73$

Therefore the concentration of salt in the incoming brine is 1.73 g/L

8 0

3 years ago