I believe the fastest way to solve this problem is to take any two of the given points and to find the slope and y-intercept of the line connecting those two points.
Let's choose the 2 given points (-3,16) and (-1,12).
Going from the first point to the second, the increase in x is 2 and the increase in y is actually a decrease: -4. Thus, the slope of the line connecting these two points is m = -4/2, or m = -2.
Now use the slope-intercept formula to find the y-intercept, b.
One point on the line is (-3,16), and the slope is m = -2.
Thus, the slope-intercept formula y = mx + b becomes 16 = -2(-3) + b.
Here, b comes out to 10.
So now we have the slope and the y-intercept. Write the equation:
y = mx + b becomes y=-2x+10. Which of the four given answer choices is the correct one?
Answer: B. -3 and 7
Step-by-step explanation:
To find the zeros, just move the constants to the other side,
x - 7 ⇒ x = 7
x + 3 ⇒ x = -3
If the number is moved to the other side its sign becomes opposite
Hope it helps!
Answer: 14gallons
Step-by-step explanation:
12gallons/144miles = 1gallon/12miles
Therefore 6gallons = 12*6 = 72miles.
In order to cover 240miles, she will need 240/12 = 20gallons.
20-6 = 14gallons
She will need 14gallons of gas more.
Answer:
A) 32.474 + 16.577
= 49.051
C) 19.213 + 4.578
= 23.791
Step-by-step explanation:
Place value may be defined as the positional system of a notation where the position of any number with reference to the decimal point determines the value of that number.
A) 32.474 + 16.577
= 49.051
B) 23.452 + 31.561
= 55.013
C) 19.213 + 4.578
= 23.791
D) 8.128 + 9.192
= 17.32
We have to find the expression which contains 1 in the thousandths place in the sum.
We know after the decimal point, the place value are designated as tenths, hundredths, thousandths, and so on.
Therefore, A). 49.051 and C). 23.791 has a place value of 1 in its thousandths place.
Answer:
Step-by-step explanation:
