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Zina [86]
3 years ago
15

Help please simplify: 4(3b)

Mathematics
2 answers:
Aleonysh [2.5K]3 years ago
8 0

Answer: 12b

Step-by-step explanation: you multiply 4 by 3 but keep the b

Reil [10]3 years ago
4 0

Answer:

C ---> 12b

Step-by-step explanation:

First you would distribute the 4 to the 3b which will give you 12b.

4(3b)

4*3=12

12b

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The function y = x 2 - 10x + 31 has a ____
katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

f(x) = x^2-10x+31

Taking first derivative

f'(x) = 2x-10

Now the first derivative has to be put equal to zero to find the critical value

2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5

The function has only one critical value which is 5.

Taking 2nd derivative

f''(x) =2

f''(5) = 2

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

f(5) = (5)^2-10(5)+31\\=25-50+31\\=6

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum  value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0
3 years ago
Can someone solve this? and tell me how?
maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the <u>reverse operation</u>.

The reverse of exponents is <u>square root</u>.

(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x          Subtract 4x from both sides

10 = 9 + 3x                

10 - 9 = 9 - 9 + 3x            Subtract 9 from both sides

1 = 3x            Divide both sides by 3 to isolate x

x = 1/3           Answer

8 0
3 years ago
Please Answer This Math Question? Here it is:; There was a typo thank you for saying that its Mrs. Gorski bought a table and 6 c
SCORPION-xisa [38]
So you'd do 980 - 524 = $456, and then 456 ÷ 6 = $76, which is the cost of 1 chair. We already know that 1 table is $524, so if you want 2 tables and 8 chairs you'd do (524 × 2) + (76 × 8), which is 1048 + 608 = $1656, which is your answer. I hope this helps!
6 0
3 years ago
Write a polynomial function in factored form w zeros at -2,5,6
AlladinOne [14]

Answer:

B

Step-by-step explanation:

The zeros of a polynomial are the solutions to the function. They are found from the factors. The factors which multiply to make the equation in standard form. To write the factors reverse the process by unsolving the factor.

x = -2 comes from x+2

x = 5 comes from x-5

x = 6 comes from x-6

The factored form is (x+2)(x-5)(x-6).

7 0
3 years ago
Find the domain of the function algebraically q(r)=3square root r^2 -16
lawyer [7]
Hello : 
q(r)=3<span>√(r²-16)
q  exist : r² - 16 </span><span>≥ 0
r² </span><span>≥ 16
</span>√r² ≥ √16
but :  √16 = 4    and  √r² = <span>|r |
</span>|r | ≥ 4
r ≤ 4 or  r  ≥ 4 
the domain is :  ] -∞, 4] ∪  [,4 , + ∞ [

 
4 0
3 years ago
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