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drek231 [11]
3 years ago
13

If x = -3, then x 2-7x + 10 equals

Mathematics
1 answer:
Anestetic [448]3 years ago
5 0

Answer: 40

Step-by-step explanation: x=−3

(−3)2−(7)(−3)+10

(−3)2−(7)(−3)+10

=40

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Marcos is 7 years older than his sister, Rosa. The sum of their ages is less than 3 times Rosa's age. How old is each?​
jeyben [28]

Answer:

The sum of their ages is 1 less than 3 times Rosa's age.

15 + 8 = 3(8) - 1

Step-by-step explanation:

4 0
3 years ago
A teacher has brought treats for her 10 students. She will give out 3 fruit snacks, 2 teddy grahams, and 5 granola bars. How man
JulsSmile [24]

Answer:

2520 ways

Step-by-step explanation:

We can solve this problem with 3 combinations:

First the teacher needs to give 3 fruit snacks to 10 students, so we have a combination of 10 choose 3: C(10,3) = 10! / (3! * 7!) = 120

Then, she needs to give 2 teddy grahams to 7 students (3 already got a snack), so a combination of 7 choose 2: C(7,2) = 7! / (2! * 5!) = 21

The, she gives the 5 granola bars to the other 5 students, so a combination of 5 choose 5: C(5,5) = 1.

Now we just need to multiply the combinations to find the result:

C(10,3) * C(7,2) * C(5,5) = 120 * 21 * 1 = 2520 ways

7 0
3 years ago
If given <img src="https://tex.z-dn.net/?f=%5Clog_p%283%29%20%5Capprox%200.14" id="TexFormula1" title="\log_p(3) \approx 0.14" a
Mrrafil [7]

Heya!

We can use the extended version product rule to solve: log_p(abc) = log_p(a) + log_p(b) + log_p(c)

We can factor 60 using 2, 3, and 5.

60 = 2^2 * 3 * 5

Substitute these numbers into the rule.

log(2^2 * 3 * 5) = 2 log_p(2) + log_p(3) + log_p(5)

Using the values given in the question, we can substitute in the equation.

2 log_p(2) + log_p(3) + log_p(5) → 2(0.09) + 0.14 + 0.21

Simplify the equation.

2(0.09) + 0.14 + 0.21

0.18 + 0.14 + 0.21

0.53

Therefore, \text{log}_p(60) = 0.53

Best of Luck!

4 0
3 years ago
Which of these triangles is definitely not congruent to any of the others?
levacccp [35]
Triangle 1, it’s smaller
5 0
4 years ago
Fifteen is no more than a number t divided by 5
tamaranim1 [39]
 it would be 15 > t / 5
5 0
3 years ago
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