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Aleks04 [339]
3 years ago
10

Simplify the expression: a. b^2+49–(b–7)^2 b. 2a+6b)^2–24ab

Mathematics
1 answer:
klemol [59]3 years ago
5 0
Part a b2+49−(b−7)2

Distribute:

=b2+49+−b2+14b+−49

Combine Like Terms:

=b2+49+−b2+14b+−49

=(b2+−b2)+(14b)+(49+−49)

=14b

Answer:

=14b
part b

(2a+6b)2−24ab

Distribute:

=4a2+24ab+36b2+−24ab

Combine Like Terms:

=4a2+24ab+36b2+−24ab

=(4a2)+(24ab+−24ab)+(36b2)

=4a2+36b2

Answer:

=4a2+36b2


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IN (3)
svetoff [14.1K]

Answer:

(a) Rule: Multiply the input (x) by 2 and add 5 to the result of the product

(b) y  =2x +5

Step-by-step explanation:

Given

The attached table

Solving (a): The rule of the table in words

First, we calculate the slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

Using:

(x_1,y_1) =  (2,9)

(x_1,y_1) =  (10,25)

So, we have:

m = \frac{25 - 9}{10 - 2}

m = \frac{16}{8}

m=2

The equation is calculated using:

y - y_1 =m(x - x_1)

Using:

(x_1,y_1) = (6,17)

We have:

y - 17 =2(x - 6)

y - 17 =2x - 12

Make y the subject

y  =2x - 12+17

y  =2x +5

Hence, the rule is:

Multiply the input (x) by 2 and add 5 to the result of the product

(b): The rule, in algebra

As solved in (a), the rule is:

y  =2x +5

8 0
3 years ago
X/2+10=8.95 what is x and how did you find it
g100num [7]

Answer:

x =-2.1

Step-by-step explanation:

X/2+10=8.95

Subtract 10 from each side

X/2+10-10=8.95 -10

x/2 =-1.05

Multiply each side by 2

x/2*2 =-1.05*2

x =-2.1

7 0
3 years ago
Read 2 more answers
What is 5 + 2^3 divided by 4 - 2
V125BC [204]

Answer:

6

Step-by-step explanation:

5+2^{3}/4-2

2^{3} = 2 x 2 x 2 (12)

5+ 12 / 4-2

5 + 3 - 2

6

5 0
3 years ago
Read 2 more answers
Solve the system: 6x=25y+1 5x−16y=−4
jeka94

Answer:

The solution is (x,y)=(-4,-1)

Step-by-step explanation: Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

5 0
3 years ago
Two hundred people attended the history museum exhibit on Monday. Twenty-five of the people who attended the exhibit were survey
galben [10]

Answer:

96

Step-by-step explanation:

Total number of people attending the history museum is 200

Surveyed people are 25

Out of the 25, 12 people said yes

Therefore; the fraction which said yes = 12/25

To find the total number of people expected to say yes out of those that attended the history museum;

Fraction of the sampled that said yes × total number of people that attended.

= 12/25 × 200

=  96

6 0
3 years ago
Read 2 more answers
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