Which equation in slope-intercept form, passes through the points (2, 15) and (5, 21)?

Answers

Answer 1
Answer:

Answer:

y = 2x + 11

Step-by-step explanation:

Slope-intercept form (y=mx+b) of linear equations highlights the slope (m) and the y-intercept (b) of a line.

Slope = m = rise/run = (y2-y1)/(x2-x1) = (15-21)/(2-5) = -6/-3 = 2

substitute 2 back into the equation.

y = mx + b

y = 2x + b

use one of the provided points to solve for b.

y = 2x + b

15 = 2(2) + b

15 = 4 + b

11 = b

y = 2x + 11


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25 - 7 + rSolve the equation.
Solve for x.16x - 5 = 18x - 2

What is the difference between rational and irrational numbers? And we believe whole numbers are 0 and any number after it to the positive side. What are the negative numbers called, just integers? We are also a little confused about the difference in counting numbers and whole numbers, are they the same?

Answers

Definition:
Every rational number can be written as a fraction with whole numbers
on top and bottom.  Irrational numbers can't.

Working method of recognizing them:
Any number that you can write down completely, on paper, using number digits without any symbols, is a rational number, whether you write it as a fraction or as a decimal.

Popular misconception:
A rational number doesn't necessarily produce a decimal that ends, and a decimal that never ends is not necessarily an irrational number.
Examples:  1/3, 1/7, 1/9, 1/11 are never-ending in decimal form.

Whole numbers are the positive integers and zero.

Counting numbers are the whole numbers without zero.

Integers are the whole numbers plus their negatives.


Petra throws a ball up with an initial vertical velocity of 35 ft/s from a platform that is at ground level.How long will the ball be in the air?

Answers

The equation used to solve this problem is this:
H(t) = -16t^2 +vt + s
Where,
H(t) is the distance of the ball from the ground in feet,
t is the time in seconds,
v is the initial velocity of the ball as it is thrown up in feet/sec,
s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,
0 = 16 t^2 + 35t + 0
This is a quadratic equation and the roots are:
0 and 2.19

ANSWER: 2.19 SECONDS

The equation used to solve this problem is this:

H(t) = -16t^2 +vt + s

Where,

H(t) is the distance of the ball from the ground in feet,

t is the time in seconds,

v is the initial velocity of the ball as it is thrown up in feet/sec,

s is the distance of the ball from the ground when it was thrown in feet

Plugging in the given values,

0 = 16 t^2 + 35t + 0

This is a quadratic equation and the roots are:

0 and 2.19

answer: 2.19 seconds

X 4 ? 36 42
y 20 120 180 210

16
20
24
28

Answers

?=24
4x5=20
36x5=180
42x5=210

A cross product is an equation which states that two ratios are equal. true or false

Answers

I would say that the answer would be false.

Answer:

True

Step-by-step explanation:

The cross-product property states that if the cross products of two ratios are equal, then the ratios are equivalent (equal).

Therefore, the answer to your question would be true.

Hope this helps.

P.S; the answer above is correct in the sense of a proportion, which is an equation that directly states the equality of two ratio's.

What is the value of this expression 210/7-18+4*6-20
A)112
B)76
C)28
D)16

Answers

Following the MDAS rule, where it is necessary to do multiplication or division processes first (whichever of the 2 is encounter first in the equation) before proceeding to addition and subtraction, the expression can be solved, and is done as follows:

210/7 - 18 + 4*6 - 20

Doing division and multiplication first:
30 - 18 + 24 - 20

Simplifying:
16

Therefore the answer among the choices is D.
D) 16
(210)/(7) -18+4*6-20
=30-18+24-20
=30+24-(18+20)
=54-38
=16

Investing in bonds! PLS HELP1.) Ralph wishes to protect his investment from inflation. He buys a zero coupon bond. Why is this investment a bad choice for Ralph?

2.) Allison buys a Greek Treasury bond. The Greek government announces that it is defaulting on its debt. What options does Allison have to recover her money?

3.) Why are municipal bonds less attractive to foreign bondholders?

4.) Why does building a ladder of bonds protect against changes in interest rates?

Answers

1) A zero coupon bond is a bad choice for Ralph because it is a bond bought at a very deep discount but does not earn any interest. He will only get the face value of the bond when it matures.

2) Defaulting means being unable to pay for the debt in time. They will pay for the debt when they have the available funds to do so. Allison will just have to wait until the Greek government has enough money to cover their debts.