The second one is the correct answer
Answer:
22
Step-by-step explanation:
This is a right angle so the sum of those would be equal to 90 degrees
x + 7 + 3x - 5 = 90 add like terms
4x + 2 = 90 subtract 2 from both sides
4x = 88 divide both sides by 4
x = 22
Answer
That should be it!
Step-by-step explanation:
Question 1 (Multiple Choice Worth 1 points) (04.03) The expression below shows the population of foxes in a forest after 12x years: f(x) = 50(1.05)12x Which of the following is an equivalent function? f(x) = 50(1.7959)x f(x) = 50(12.6000)x f(x) = 600(1.05)x f(x) = 4.2(1.05)x Question 2 (Multiple Choice Worth 1 points) (04.01) Which of the following best defines 3 to the power of 2 over 3? Square root of 9 Cube root of 9 Cube root of 3 Square root of 3 Question 3 (Multiple Choice Worth 1 points) (04.06) A sequence has its first term equal to 4, and each term of the sequence is obtained by adding 2 to the previous term. If f(n) represents the nth term of the sequence, which of the following recursive functions best defines this sequence? f(1) = 2 and f(n) = f(n − 1) + 4; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2n; n > 1 f(1) = 2 and f(n) = f(n − 1) + 4n; n > 1 f(1) = 4 and f(n) = f(n − 1) + 2; n > 1 Question 4 (Multiple Choice Worth 1 points) (05.05) Look at the graph below: First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded above first and second line. Part B shaded below first line and above second line. Part C shaded below first and second lines. Part D shaded above first line and below second line. Which part of the graph best represents the solution set to the system of inequalities y ≤ x + 1 and y + x ≤ −1? Part A Part B Part C Part D Question 5 (Multiple Choice Worth 1 points) (04.03) The number of bacteria in a sample increased by a factor of 2 every minute from 9:05 AM to 9:55 a.m.. The function below shows the number of bacteria in the sample f(x) after x minutes from 9:05 a.m.: f(x) = 10(2)x Which of the following is a reasonable domain for the function? 0 ≤ x ≤ 10 5 ≤ x ≤ 55 0 ≤ x ≤ 50 All positive integers Question 6 (Multiple Choice Worth 1 points) (03.05) The graph below shows the velocity f(t) of a runner during a certain time interval: graph of line going through ordered pairs 0, 2 and 6, 8. Graph of another line through ordered pairs 6, 8 and 8, 0. Label on the x axis is time in second and label on the y axis is velocity in meters per second Which of the following describes the intercepts on the graph? The initial velocity of the runner was 8 m/s, and the runner stopped after 2 seconds. The initial velocity of the runner was 2 m/s, and the runner stopped after 8 seconds. The initial acceleration of the runner was 8 m/s2, and the runner stopped after 2 seconds. The initial acceleration of the runner was 2 m/s2, and the runner stopped after 8 seconds. Question 7 (Multiple Choice Worth 1 points) (03.03) Choose the equation that represents the graph below: Graph of a line passing through points negative 3 comma 0 and 0 comma 3 y = x − 3 y = −x + 3 y = −x − 3 y = x + 3 Question 8 (Multiple Choice Worth 1 points) (04.03) Jake forgot to replace the cap on a bottle of cologne. The cologne began to evaporate at the rate of 18% per day. If the original amount of cologne in the bottle was 50 grams, which of the following graphs best represents the amount of cologne f(x) remaining in the bottle after x days? graph of function f of x equals 30 multiplied by 0.88 to the power of x graph of exponential function going down from left to right in quadrant 1 through the point 0, 40 and approaching the x axis graph of function f of x equals 50 multiplied by 0.82 to the power of x graph of exponential function going down from left to right in quadrant 1 through the point 0, 4 and approaching the x axis
Answer:
8: 50 hours
9: 6 inches
10: 43 cm
Step-by-step explanation:
I couldn't see the entirety of 7 because some of the page was folded, so I didn't answer it.
8: Make them equations of y=12x+450 and y=21x. Since both equal y, set them equal to each other so 21x=12x+450. Subtract 12x from both sides to get 9x=450. Divide by 9 on both sides to get 50.
9: The length equals 3w-6 and the width is just w. The perimeter would equal 2w+2(3w-6) which when factored is 2w+6w-12. Simplify to 8w-12. If P=8w-12 and we know P=36, then set the two equations equal to each other so that 8w-12=36. Add 12 to both sides to get 8w=48. Then divide both sides by 8 to get a final answer of w=6.
10. P=x+5x+8+4x-7. Simplify that to P=10x+1. We know that P=71, so set the two equations equal to each other to get 71=10x+1. Subtract 1 from both sides to get 70=10x. Divide both sides by 10 and x=7. Now substitute x in each side of the triangle and we get 7, (4*7-7), and (5*7+8). Solve all of those to get sides of 7, 21, and 43. The question asks what is the length of the longest side, so the answer would be 43.
