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3 years ago

Which graph represents the solution for the equation 4 3 x + 2 = 5x? A) A B) B C) C D) D

Mathematics

2 answers:

skad [1K]3 years ago

5 0

Answer:

A) A

Step-by-step explanation:

The equation of a line is given by

$y=mx+q$

where

m is the slope of the curve

q is the y-intercept of the curve

The two lines given in the problem are:

$y=\frac{4}{3}x+2$ --> slope of 4/3 and y-intercept of +2

$y=5x$ --> slope of 5 and y-intercept of 0

By exclusion, we see that the correct answer is A. In fact:

- Option B is wrong, because one of the two lines has negative slope, while the two lines given in the problem have both positive slope

- Option C is wrong, because one of the two lines is flat (slope=0), while none of the two lines given in the problem has a slope of zero

- Option D is wrong, because again one of the two lines has negative slope

Option A is the correct one: in fact, we see that the black line has an y-intercept of +2 and a slope of 4/3, while the green line has a slope of 5 and an y-intercept of zero.

sergeinik [125]3 years ago

3 0

Answer:

The answer

D) D

Step-by-step explanation:

I knew this because one, i just did the test and two the previous answer that was given was incorrect

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Between the time Iko woke up and lunchtime,the temperature rose by 11.Then by the time he went to bed,the temperature dropped by

dimaraw [331]

Answer:

11 + ( - 14)

Explanation:

The complete question is:

Between the time iko woke up and lunchtime, the temperature rose by 11º. Then by the time he went to bed, the temperature dropped by 14º.

Write an addition expression for the temperature relative to when iko woke up.

<h2>Solution</h2>

It is said that between the time Iko woke up and lunchtime, the temperature rose by 11 degrees. A rise means the temperature increased and you must add 11º.

Then, relative to when Iko woke up the temperature is:

+ 11º

Then, by the time Iko went to bed, the temperature dropped by 14º. A drop means that the change is negative. This means that you must add a negative number, and the additive expression is:

+ 11º + (- 14º).

If you want the overall change in temperature you do the operation:

11 + (-14) = 11 - 14 = - 3. A net decrease of 3º.

But the answer to this question is the additive expression:

11 + ( - 14) ← answer

4 0

3 years ago

Elijah put 2x+3 dollars in the bank the first week. The following week he doubled the first week’s savings and put that amount i

ella [17]

I believe the answer would be $79.50.

7 0

3 years ago

Solve the M -5 m = -35

dedylja [7]

Answer: m = 7

Step-by-step explanation: In this equation, since a -5 is being multiplied by m, in order to get m by itself, we must divide both sides of the equation by -5.

On the left side, our -5's cancel out and we are left with m. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for m in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

4 0

3 years ago

Rudik [331]

Answer:

(a) 169.1 m

Step-by-step explanation:

The diagram shows you the distance (x) will be shorter than 170 m, but almost that length. The only reasonable answer choice is ...

169.1 m

The relevant trig relation is ...

Cos = Adjacent/Hypotenuse

The leg of the right triangle adjacent to the marked angle is x, and the hypotenuse is 170 m. Putting these values into the equation, you have ...

cos(6°) = x/(170 m)

x = (170 m)cos(6°) ≈ (170 m)(0.994522) ≈ 169.069 m

The horizontal distance covered is about 169.1 meters.

_____

Additional comment

Expressed as a percentage, the slope of this hill is tan(6°) ≈ 10.5%. It would be considered to be a pretty steep hill for driving.

5 0

2 years ago

the length of a rectangular garden is 3 m greater than the width. The area of the garden is 70m squared. find the dimensions of

Lerok [7]

A = l x w

so you know that the length is 3m longer than the width, so you could use a formula to represent that

w = l + 3

you then substitute the second equation into the first to solve for l

70 = l x (l +3)
70 = l^2 + 3l

you could then rearrange the formula and solve for l using the quadratic formula

0 = l^2 + 3l - 70

l = -3 +- (square root (3)^2 - 4(1)(70)) / 2(1)
l = -3 +- (square root 9 + 280) / 2
l = -3 +- (square root 289) / 2
l = -3 +- 17 / 2

then you solve for the two seperate roots

l = -3 + 17 /2
l = 14 / 2
l = 7

or

l = -3 - 17 / 2
l = -20 / 2
l = -10

since a length cannot be negative, this root is not viable. therefore l = 7

to solve for w you would use

w = l + 3
w = 7 + 3
w = 10

hope this helps! if you did not understand a step or concept please let me know!

4 0

3 years ago