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svetlana [45]
1 year ago
12

What values of b satisfy 4(3b + 2)2 = 64?

Mathematics
1 answer:
Vikentia [17]1 year ago
8 0
Given the equation 4(3b + 2)² = 64, dividing both sides of the equation by 4, we have (3b + 2)² = 16 and getting the square root of both sides, (3b + 2) = 4 and (3b + 2) = -4 We can solve for b for each equation and have 3b = 2 | 3b = -6 b = 2/3 | b = -2 Therefore, the values of b are 2/3 and -2 and from the choices, the answer is <span>A: b = 2/3 and b = -2.</span>
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Draw the number 24 then draw a quick picture to show 24 after you have to regrouped 1 ten as 10 ones explain how both pictures s
Vesnalui [34]
First draw 24 shapes of your choice.

Then, in a different space or below those 24 shapes, draw 10 more shapes twice. So draw 10 shapes and draw 10 more next to them. Finally, draw 4 more shapes with space between them and say "10+10+4=24"
6 0
2 years ago
Carmela mixes 3/4 kilogram of walnuts, 1/2 kilogram of almonds, and 1/4 kilogram of pecans together. She divides the mixed nuts
Evgesh-ka [11]

Amount of walnuts=\frac{3}{4} kg

Amount of almonds=\frac{1}{2} kg

Amount of pecans=\frac{1}{4} kg

Total amount=\frac{3}{4}+\frac{1}{2}+\frac{1}{4}

LCM is 4 so sum is = \frac{3+2+1}{4}=\frac{6}{4} =\frac{3}{2}

As given, Carmela divides the mixed nuts into 3/10 kilogram bags so number of bags will be:

\frac{\frac{3}{2}}{\frac{3}{10}}

= \frac{3}{2}\times\frac{10}{3} = 5

Hence, answer is 5 bags.


5 0
2 years ago
At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground
xz_007 [3.2K]
The arrow is fired with an initial upward velocity of 32ft/s
3 0
2 years ago
Justin receives $15 and puts it into his savings account. He adds $0.25 to the account each day for a number of days, d, after t
MAVERICK [17]

Answer:

expression a

Step-by-step explanation:

The given expression is 15+0.25(d−1).

let suppose,

15 = a

0.25(d−1) = b

we get  a + b

It clearly indicates the given expression is sum of two entities, we can exclude  option b and option d.

Now we are left with option a and c, for that we have to evaluate the term b

b = 0.25(d−1) <u>that is the additional amount after d days</u>

Therefore, expression a is correct.

4 0
2 years ago
Read 2 more answers
which equation is in slope-intercept form and represents a line with slope 3 through the point (9,-4)
krek1111 [17]

Slope-intercept form is y = mx +b, where the variable m represents the slope of the line and the variable b represents the y-intercept of the line. Since we weren't given the y-intercept, one way to solve this problem is substitute the slope for the variable m and then the x and y values from the ordered pair to solve for b.

y = mx + b

y = 3x + b

-4 = 3(9) + b

Now, we can simplify by computing the multiplication on the right side of the equation.

-4 = 27 + b

Finally, we can find the value for b by subtracting 27 from both sides of the equation to get:

-31 = b

Now, we should substitute this value for b back into our equation with the slope.

y = 3x - 31

Therefore, your answer is y = 3x - 31.

Hope this helps!

6 0
2 years ago
Read 2 more answers
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