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If FG = x + 1, GH = 2x, and FH = 4, what is FG? FG + GH = FH due to segment addition x + 1 + 2x = 4 Typing this equation into our math engine, we get: x = 1 FG = 1 + 1 FG = 2

2/3 of a pie is four slices how many slices does the whole pie have Let s be the number of total slices of pie. We're given: 2s/3 = 4 Cross Multiply: 2s = 3 * 4 2s = 12 Divide each side by 2: 2s/2 = 12/2 s = 6

If f(x)=4x²-x+3, then what is f(a)? f(a) = 4a^2 - a + 3

Does (6, 6) make the equation y = x true The point (6, 6) means x = 6 and y = 6 Since 6 = 6, x = y which is true.

Julia has made 9 posts while trying out a new social media platform. Starting now, she plans to make 1 post daily. Write an equation that shows how the total number of posts, y, depends on the number of elapsed days, x. y= Julia starts with 9 and adds one post per day on each of x days, so we...

P(x)=25x-15,375 x=385 If x= 385, we have: P(385) = 25(385) - 15,375 P(385) = 9,625 - 15,375 P(385) = -5,750

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. Twice a number: 2x decreased by eight 2x - 8 is means equal to. Set 2x - 8 equal to zero for our algebraic expression: 2x - 8 = 0 If the problem asks you to solve for x, add 8 to...

The sum of two y and the quantity of three plus y plus twice the quantity two y minus two equals fifteen The sum of two y and the quantity of three plus y 2y + (3 + y) twice the quantity two y minus two 2(2y - 2) The sum of two y and the quantity of three plus y plus twice the quantity two y...

seven plus x 7 + x Twice the quantity of seven plus x 2(7 + x) Difference of x and seven x - 7 The phrase is the same as means equal to. This is our algebraic expression: 2(7 + x) = x - 7 If the problem asks you to solve for x, distribute 2 on the left side: 14 + 2x = x - 7 Subtract x from...

The difference of five and five y 5 - 5y eight and two y 8 + 2y The phrase is the same as means equal to. Set 5 - 5y equal to 8 + 2y for our final algebraic expression 5 - 5y = 8 + 2y If the problem asks you to solve for y: Add 5y to each side: 5 = 8 + 7y Subtract 8 from each side: 7y = -3...

The sum of two y and three 2y + 3 the difference of three y and one 3y - 1 is the same as means equal to. Set 2y + 3 equal to 3y - 1 for our final algebraic expression: 2y + 3 = 3y - 1 If the problem asks you to solve for y, subtract 2y from each side: 3 = y - 1 Add 1 to each side: y = 4

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. Twice a number means we multiply x by 2: 2x ten added to twice a number 2x + 10 The phrase is the same as means equal to. Set 25 equal to 2x + 10 to get our algebraic expression 25...

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. 5 times a number 5x Sixteen subtracted from five times a number 5x - 16 the number plus 4: x + 4 Equals means we set 5x - 16 equals to x + 4 for our algebraic expression: 5x - 16...

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. Four times a number: 4x nine more than four times a numbrer 4x + 9 The phrase is means equal to. We set 4x + 9 equal to 25 as our algebraic expression: 4x + 9 = 25 If the problem...

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. Twice a number means we multiply x by 2: 2x Subtract four: 2x - 4 The word is means equal to. We set 2x - 4 equal to 20 for our algebraic expression: 2x - 4 = 20 If the problem...

The phrase a number means an arbitrary variable. We can pick any letter a-z except for i and e. Let's choose x. One-half a number means we divide x by2: x/2 The word is means equal to. We set x/2 equal to 50 for our algebraic expression x/2 = 50 If the problem asks us to solve for x, we...

Twice the sum of a number and 6 is equal to three times the difference of the number and 3. Find the number. The phrase a number means an arbitrary variable, let's call it x. The sum of a number and 6 means we add 6 to x: x + 6 Twice the sum of a number and 6 means we multiply x + 6 by 2: 2(x...

Answer Choices: A. 6 B. 1/2 C. 1/3 D. 1/4 Multiply through by 6: 2 * 6x/3 + 6/6 = 6/3 4x + 1 = 2 Subtract 1 from each side: 4x + 1 - 1 = 2 - 1 4x = 1 Divide each side by 4: 4x/4 = 1/4 x = 1/4

It costs $4.25 per game at the bowling alley plus $1.90 to rent shoes. if Wayne has $20, how many games can he Bowl? Let g be the number of games. The cost for Wayne is: C(g) = Cost per game * number of games + shoe rental 4.25g + 1.90 = C(g) We're given C(g) = 20, so we have: 4.25g + 1.90 =...

If 3a+5b = 98 and a=11, what is the value of a +b a = 11: 3(11) + 5b = 98 33 + 5b = 98 Using our equation solver, we get: b = 13 a + b = 11 + 13 a + b = 24