Answer:
A proportional relationship between a quantity y and a quantity x that has a constant of proportionality k is represented by the equation y = kx.
Step-by-step explanation:
hope this explains well, good luck !
Answer:
-21
Step-by-step explanation:
We are told to find f(x) + g(x) for x= -3. Therefore, we must evaluate f(-3) and g(-3), then add them together.
First, evaluate f(-3).
f(x)=4x-7
To find f(-3), we need to substitute -3 in for x.
f(-3)= 4(-3)-7
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction First, multiply 4 and -3.
f(-3)= -12-7
Next, subtract 7 from -12
f(-3)= -19
Next, find g(-3).
g(x)=2x+4
To find g(-3), substitute -3 in for x.
g(-3)= 2(-3)+4
Solve according to PEMDAS. First, multiply 2 and -3.
g(-3)= -6+4
Next, add -6 and 4
g(-3)= -2
Now, we can add f(-3) and g(-3) together.
f(-3) + g(-3)
f(-3)= -19
g(-3)= -2
-19 + -2
Add
-21
Answer:
12 miles
Step-by-step explanation:
Alyssa takes part in the triathlon. She cycles 4/5 of the route, runs 1/8 of the route, and swims the rest of the way. She swims 0.9 miles. Find the total distance of the triathlon route.
Total distance Alyssa cycled and ran =
= 
Distance she swam = 1 - 37/40 = 3/40
3/40 of the distance is 0.9
the total distance = 40/3 x 0.9 = 12 miles
Answer:
3/8 sq. units
Step-by-step explanation:
The formula for area for a trapezoid is
Area = (1/2)*(base1+base2)*height
Area = (1/2)*(1/2 + 1/4) * 1
Area = (1/2)*(2/4 + 1/4)
Area = (1/2)*(3/4)
Area = 3/8 sq. units
The number of partial products Alan will have when he multiplies a 4-digit number by 36 is; 8 partial products.
First, we must establish that a 4-digit number will have 4 place values namely;
- Thousands
- Hundreds
- Tens
- Ones.
And since, 36 has 2 place values;
We can conclude that the number of partial products that Alan wil have is; 2× 4 = 8.
Read more on partial products;
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