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leonid [27]
3 years ago
15

If a(x)=3x+1 and b(x)=square root x-4, what is the domain of (b o a)(x)?

Mathematics
2 answers:
Dennis_Churaev [7]3 years ago
4 0

Answer:

C. (1,infinity)

Step-by-step explanation:

Bond [772]3 years ago
3 0

ANSWER

[1, \infty ]

EXPLANATION

The given functions are:

a(x) = 3x + 1

b(x) =  \sqrt{x - 4}

We want to find the domain of the composite function;

(b \circ \: a)(x) = b(a(x))

(b \circ \: a)(x)  = b(3x + 1)

(b \circ \: a)(x) =  \sqrt{3x + 1 - 4}

This simplifies to,

(b \circ \: a)(x) =  \sqrt{3x  - 3}

This function is defined for

3x - 3 \geqslant 0

3x \geqslant 3

x \geqslant 1

This can be rewritten as,

[1, \infty ]

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Mrs. Flynn baked 6 more cookies than Mrs. Jones did. If together they baked 42 cookies, how many did Mrs. Jones bake?
galben [10]

Answer:

Mrs. Jones baked 18 cookies

Mrs. Flynn baked 24 cookies

Step-by-step explanation:

42-6=36(to find 2x the number mrs jones baked)

36/2=18(how cookies baked by mrs jones)

18+6=24(how many mrs flynn baked)

8 0
3 years ago
HOW do i solve this? <br><br> 7.42 ÷ 1.75
artcher [175]

Answer:

Step-by-step explanation:

You divide 7.42 / 1.75 = the answer is 4.24

7 0
2 years ago
Read 2 more answers
7 times as much as sum of 1/3 and 4/5
Salsk061 [2.6K]
So the formula is
7*(1/3+1/5) = x

First find the common denominator of the fractions.  In this case the common denominator of 3 and 5 is 15 so we must convert them to 15ths.  To do that we divide 15 by the denominator and take that answer and multiply the numerator by it.

So for 1/3 we take 15/3(denominator) = 5 and multiply the numerator (1) by it

5 * 1 = 5 so 1/3 converts to 5/15

Do the same for 1/5 we take 15/5 = 3 and multiply the numerator (4) by it

3*4 = 12 so 4/5 converts to 12/15

Now we add 5/15 and 12/15 = 17/15 so we have our formula now to

7*17/15

We make seven a fraction 7/1 and multiply across 7*17 = 119 and 15 * 1 = 15

We have 119/15 which when we divide and get 7 14/15 as your answer
8 0
3 years ago
Read 2 more answers
Use Pythagorean Theorem to solve for x.<br><br> HELP ME PLZZZZ!!!! ASAP
4vir4ik [10]

Answer: 2\sqrt{22}

Step-by-step explanation:

Pythagorean theorem: a^{2} +b^{2} = c^{2}, where a and b are the legs and c is the hypotenuse.

We can solve for x by only using the left side of the triangle. Since we're only using the left side of the triangle, we can reduce 18 by 2 to get 9. Now we plug in our information to the equation.

9^{2} +b^{2} = 13^{2}

81 +b^{2} = 169

Since we don't know what b^{2} is, we're going to isolate it by subtracting 81 on both sides

b^{2} = 88

We have to square root both sides in order to find out b (or x in the problem).

\sqrt{b^{2}} = \sqrt{88}

When you put this on a calculator it would result in 2\sqrt{22} which is the answer d in the problem.

6 0
3 years ago
What is the relationship between the ratios?
Lesechka [4]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $ \frac{5}{8} $ and $ \frac{8}{10} $.

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $ \frac{p}{q} $ and $ \frac{x}{y} $.

We say they are proportional if $ p : q = x : y $.

Or, if $ py = qx $ then we can say the fractions are proportional.

Here the fractions are:  $ \frac{5}{8} $ and $ \frac{8}{10} $.

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

5 0
3 years ago
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