Answer:
10x^3 - 34x^2 + 33x - 7
Step-by-step explanation:
Multiply each term of the trinomial by each term of the binomial. Then combine like terms.
(2x^2 - 4x + 1)(5x - 7) =
= 10x^3 - 14x^2 - 20x^2 + 28x + 5x - 7
= 10x^3 - 34x^2 + 33x - 7
Hi there! I can help you! To solve this question, we can write and solve a proportion. Candida ran 100 yards in 12.7 seconds and the timekeeper ran 100 yards in 11.4 seconds. Let's start with Candida. We could solve this by setting up the proportion to make it look like this: 100/12.7 = 220/x. You do this, because we're looking for the amount of time it would take for Candida to run 220 yards. Le'ts cross multiply the values. When you do that, you get 2,794 = 100x. Now, divide each side by 100 to isolate the "x". When you do, you get x = 27.94. x = 27.94. We found Candida's time. Now, let's look for the other person's time. Set up a proportion again. 100/11.4 = 220/x. We are looking for the other person's time. Repeat the steps. Cross multiply the values in order to get 2,508 = 100x. Now, divide each side by 100 to isolate the "x". When you do, you get 25.08. x = 25.08. We found the other person's time. Here are the answers easier to read.
Amount of time to run 220 yards
Candida: 27.94 seconds
Other person's time: 25.08 seconds
Answer:
120 bpm
Step-by-step explanation:
after strenuous exercise your heart rate wouldn't decrease as your body needs more oxygenated blood causing your heart to pump harder and faster
7 grams. 1,000 mg is equivalent to one gram.
We need to see Hazel's work for simplifying an inequality and see if she had a mistake or not.
The answers are:
a) Step 4.
B) She did not change the direction of the inequality symbol.
a) Let's analyze each step:
She starts with:
3*(t + 1) - 4*t ≥ −5
Step 1:
3t +3−4t ≥ −5
Here what she does is distributing the first product, she goes from:
3*(t + 1) to 3*t + 3
Step 2:
−t+3≥−5
Here what she did is adding "3*t - 4*t = (3 - 4)*t = -t"
Step 3:
−t ≥ −8
Here she subtracts 3 in both sides.
Step 4:
t ≥ 8
Here is the mistake.
B)
Here what she does is multiplying by -1 in both sides, her mistake is that we multiply both sides by a negative number in an inequality, the direction of the inequality must change, so here is her error.
So what she actually should had is:
-t ≥ -8
(-1)*(-t) ≤ (-1)*(-8)
t ≤ 8
If you want to learn more, you can read:
brainly.com/question/20271304