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3 years ago

Work out the value of a and b in the identity. 3ax + 6 - 4(x + b)= 11x + 14

Mathematics

1 answer:

Levart [38]3 years ago

5 0

Answer:

a=5, b=-2

Step-by-step explanation:

If you simplify the equation, you get:

3ax +6 -4x -4b - 11x - 14 = 0 =>

3ax - 15x -4b -8 = 0

group together x's and constants:

(3a-15)x -8 -4b = 0

To make this 0 for all x, we have to find an a such that 3a-15 = 0 and b such that -8-4b = 0. this leads to a=5, b=-2

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The rectangles shown are similar. What is the value of x?

drek231 [11]

Since the rectangles are similar. The ratio of their sides will be the same.

So, we can write:

$x:18 = 4:6 \\ \\ 
 \frac{x}{18}= \frac{4}{6} \\ \\ 
x = \frac{4}{6} * 18 = 12$

Therefore, the left side of the bigger rectangle will be 12 units in length.

3 0

2 years ago

If the square of twice a number is 81, what is the number? I tried doing 2x^2=81 but that did not come out to the answer 4.5,-4.

Vlada [557]

If the number is n then

square of 2 times a number
square of 2n
(2n)²
that was your mistake, because (2n)²=4n², not 2n²

the result is 81
(2n)²=81
square root both sides
remember positive and negative roots
2n=+/-9
divide by 2
n=+/-4.5

n=4.5 or -4.5

4 0

3 years ago

Brian has reduced his cholesterol level by 6% after his last check up. If his original level was 300, what is his cholesterol le

goldenfox [79]

Brian's cholesterol level is 282 now

Step-by-step explanation:

The percentage formula will be used to calculate the present level of Cholesterol.

Given

Previous cholesterol level = 300

Percentage decrease = 6%

$Decrease\ in\ cholesterol\ level = 6\%\ of\ 300\\= 0.06*300\\=18$

The present cholesterol level will be:

= $Previous\ level - decrease\\= 300 - 18\\=282$

So,

Brian's cholesterol level is 282 now

Keywords: Percentage, decrease

Learn more about percentage at:

#LearnwithBrainly

3 0

2 years ago

TheGilberts are designing a rectangular patio for their backyard. The patio has an area of 432 square feet. The width of the pat

Mrac [35]

I don't think I know how to completely help you with this question, but I can help get you started. Basically, A=432 W=3/4L L=X (because that's the variable that you're trying to find.) So, overall the setup would be: 3/4X=432
I hope this helps cx

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3 years ago

Brianna works at the local grocery store she needs to stock 4 shells with 120 boxs of cereal. How many boxes can she put on each

myrzilka [38]

Answer:

30 boxes of cereal

Step-by-step explanation:

Divide 120 boxes equally among 4 shelves. 120/4 = 30

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3 years ago