Simplify what’s in the parenthesis:
3 - 4(7)
Multiply:
3 - 28
Simplify by subtracting:
-25
Answer:
Cost per night: 75
Equation: 
Step-by-step explanation:
An equation to represent the situation can be written in the slope-intercept form, 
, where,
m = slope of the graph, which is the rate per night.
b = y-intercept, which is the initial fee. It is the point where the line intercepts the y-axis.
Let's find m, using two points on the line, (2, 200) and (4, 350)
✅The cost per night = 75
y-intercept, b, = 50. The line intercepts the y-axis at y = 50, when x = 0.
Substitute m = 75, and b = 50 into .
✅The equation would be:
Answer:
There are six boys
Step-by-step explanation:
Divide 54 sheets by number of boys (9)
We have an triangle:
base=4 in
height=3 in,
This triangle can be dividided into two equal triangles, we need calculate the hypotenuse.
leg₁=4 in/2=2 in
leg₂=3 in
Pythagoras law:
hypotenuse²=leg₁²+leg₂²
hypotenuse²=(2 in)²+(3 in)²
hypotenuse²=4 in²+9 in²
hypotenuse²=13 in²
hypotenuse=√13 in.
Now, we can find the surface area.
Surface area=2 *(rectangle area)+base area + 2(triangle area)
rectangle area=10 in x √13 in=10√13 in²
base area=10 in x 4 in=40 in²
Triangle area=(4 in x 3 in)/2=6 in²
Surface area=2(10√13 in²)+40 in²+2(6 in²)=(20√13+52) in²≈124.11 in²
Answer: 124.11 in²
Answer:
a. Yes
b. 3x+7
c. 105 cm
Step-by-step explanation:
a. a(1)+b=10
a(2)+b=13
when you solve this by elimination or simultaneously: a=3 and b=7
∴ f(x)=3x+7
b. f(x)=3x+7
c. 3(35)+7=112 cm
