Answer:
A. The function is linear because all of the points lie on a line.
Step-by-step explanation:
That's how math works my friend :) (And it's the reason he was wrong lol)
Three-fourths of a number increased by one-half
= 3/4 x + 1/2
So three-fourths of a number increased by one-half is equal to fourteen:
3/4 x + 1/2 = 14
Multiply both sides by 4
3x + 2 = 56
Subtract 2 from both sides
3x = 54
Divide both sides by 3
x = 18
Answer: The number is 18
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Answer: D
Step-by-step explanation:
Consider the first equation. Subtract 3x from both sides.
y−3x=−2
Consider the second equation. Subtract x from both sides.
y−2−x=0
Add 2 to both sides. Anything plus zero gives itself.
y−x=2
To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.
y−3x=−2,y−x=2
Choose one of the equations and solve it for y by isolating y on the left hand side of the equal sign.
y−3x=−2
Add 3x to both sides of the equation.
y=3x−2
Substitute 3x−2 for y in the other equation, y−x=2.
3x−2−x=2
Add 3x to −x.
2x−2=2
Add 2 to both sides of the equation.
2x=4
Divide both sides by 2.
x=2
Substitute 2 for x in y=3x−2. Because the resulting equation contains only one variable, you can solve for y directly.
y=3×2−2
Multiply 3 times 2.
y=6−2
Add −2 to 6.
y=4
The system is now solved.
y=4,x=2
Answer:
A: 56= 5y - 19
b: 68
Step-by-step explanation:
Since it is an isosceles triangle because two sides are congruent, the corresponding angles are also congruent.