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3 years ago

How many solutions does 0.5(x−3)=3x−2.5 have?

Mathematics

1 answer:

Yanka [14]3 years ago

6 0

Answer:

Step-by-step explanation:

mark brainliest pls

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Find the average rate of change for f(x) = x2 − 3x − 10 from x = 4 to x = 6. A) 5 Reactivate B) 7 C) 9 Reactivate D) 11

White raven [17]

Answer:Rate of change is 7

Option B is correct.

Step-by-step explanation:

We need to find the average rate of change for $f(x)=x^2-3x-10$ from x = 4 to x = 6

The formula used to find average rate of change is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

Where b = 6 and x = 4

Finding f(6):

$f(x)=x^2-3x-10\\f(6)=(6)^2-3(6)-10\\f(6)=36-18-10\\f(6)=36-28\\f(6)=8$

Finding f(4):

$f(x)=x^2-3x-10\\f(4)=(4)^2-3(4)-10\\f(4)=16-12-10\\f(4)=16-22\\f(4)=-6$

Now Putting values:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

$Rate\,\,of\,\,change=\frac{8-(-6)}{6-4}\\Rate\,\,of\,\,change=\frac{8+6}{2}\\Rate\,\,of\,\,change=\frac{14}{2}\\Rate\,\,of\,\,change=7$

So, Rate of change is 7

Option B is correct.

Keywords: Rate of Change

Learn more about Rate of Change at:

#learnwithBrainly

8 0

3 years ago

the vertices of ABC are points A(1,1), B(4,1), and C(4,5). find the cosines of the angles of the triangle.

pickupchik [31]

Answer:

cos(A) = 3/5
cos(B) = 0
cos(C) = 4/5

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relation between the cosine of an angle and the sides of the triangle.

Cos = Adjacent/Hypotenuse

<h3>Angle A</h3>

In the given triangle, the hypotenuse is AC. The side adjacent to angle A is AB, so its cosine is ...

cos(A) = AB/AC

cos(A) = 3/5

<h3>Angle B</h3>

The right angle in the triangle is angle B. The cosine of a right angle is 0.

cos(B) = 0

<h3>Angle C</h3>

The side adjacent to angle C is CB, so its cosine is ...

cos(C) = CB/AC

cos(C) = 4/5

7 0

2 years ago

Read 2 more answers

Ashley found 78 rocks on Monday. on Tuesdays Devin found 45 rocks how many did the find both days

scoundrel [369]

Lets look at the info we have:-

Ashley found 78 rocks on Monday.
Devin found 45 rocks on Tuesday.

Question:-

How many did they find both days?

The key word for this is "both". So we need to add here. Lets add:-

78 + 45 = 123

So, Ashley and Devin together found 123 rocks.

Hope I helped ya!! xD

3 0

3 years ago

Is a= a, b = — 4<br> One solution, no solution or infinite solution

Sphinxa [80]

Answer: Infinite

Step-by-step explanation:

4 0

3 years ago

What is the product?

aleksley [76]

Answer:

The first one

Step-by-step explanation:

8 0

3 years ago