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adoni [48]
2 years ago
11

Write 7(2p+4)-2(p-5) Where a and b are integers. in the form ap+b

Mathematics
2 answers:
Ilya [14]2 years ago
5 0

7(2p+4)-2(p-5)=14p+28-2p+10=12p+38

Liula [17]2 years ago
4 0

Answer:

12p+38

Step-by-step explanation:

Expand the brackets and simplify :

14p+28 -2p+10 (-2×-5=+10 as the product of 2 negatives is always positive)

12p+38

This is our final answer as 12 and 38 are integers

Hope this helped and brainliest please

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What are the domain and range of g(x)= √x-3?
Vera_Pavlovna [14]

Answer:

I guess, A is the wanted answer, but

A and D together are the really correct answer.

Step-by-step explanation:

if I understand this correctly, then

g(x) = sqrt(x - 3)

the domain of a function is the definition of all valid x (input) values.

the range of a function is the definition of all valid y (result) values.

well, the content (the arguments) of a square root cannot be negative (at least not while dealing with real numbers).

so, the answer options B and D are automatically out, because the domain contains values that would make the arguments of the square root negative.

I guess your teacher wants to focus only on the positive results of the square root, so A is the correct number.

BUT formally, without designated restrictions, a square root has always 2 solutions : a positive and a negative one.

because (-x)² = (x)² = x².

so, I would have to say that the really correct answer is

A + D, because the range contains both, the positive and the negative numbers.

5 0
2 years ago
Empirical rule (statistics)Help please!!!
emmasim [6.3K]

The empirical rule you're referring to is the 68-95-99.7 rule, which asserts that for a normal (bell-shaped) distribution, approximately 68% of the distribution lies within 1 standard deviation of the mean; 95% lies within 2 standard deviations of the mean; and 99.7% lies within 3 standard deviations of the mean.

Let X be the random variable denoting vehicle speeds along this highway. We want to find P(61. To use the rule, we need to rephrase this probability in terms of the mean and standard deviation.

Notice that 61=70-9=70-3\cdot3, and 79=70+9=70+3\cdot3. In other words, 61 and 79 both lie exactly 3 standard deviations away from the mean, so P(61.

8 0
3 years ago
Point B is the center of a circle, and AC is a diameter of the circle. Point D is a point on the circle different from A and C.
seropon [69]

BA and BD are radii of the circle, so triangle ABD is isosceles. Then angles BDA and BAD are congruent, and the remaining (central) angle ABD has measure

m\angle ABD=(180-2\cdot20)^\circ=140^\circ

Angles ABD and CBD are supplementary, so

m\angle CBD=(180-140)^\circ=40^\circ

and the answer is E.

8 0
3 years ago
6. If b&gt;6, then 3b + 3 could be<br> A. 18<br> B. 19<br> C. 20<br> D. 21<br> E. 22
Gala2k [10]

Answer:

E. 22

Step-by-step explanation:

Hello!

We know that b>6, and we are asked to find the possible values for 3b + 3.

Let's directly substitute 6 for b:

  • 3(6) + 3
  • 18 = 3
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Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.

The correct option is E. 22.

7 0
2 years ago
Determine if the following system of equations has no solutions, infinitely many
FrozenT [24]

Answer:

infinitely many solutions

Step-by-step explanation:

x + 6y = -5

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Multiply the first equation by 3

3(x + 6y) = -5*3

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The two equations are identical.  This means they have infinite solutions along the line x+6y = -5

8 0
3 years ago
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