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2 years ago

Please answer to those (a+2)(a+2) (b+7)(b+7) (c-3)(c-3)

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

5 0

Answer: 1. a^2 + 4a + 4

2. b^2 + 14b + 14

3. c^2 -6c + 9

vlada-n [284]2 years ago

3 0

Answer: a² + 4a + 4

Step-by-step explanation:

(a + 2)(a + 2)

= a(a + 2) +2(a + 2)

= a² + 2a + 2a + 4

= a² + 4a + 4

Answer: b² + 14b + 49

Step-by-step explanation:

(b + 7)(b + 7)

= b(b + 7) +7(b + 7)

= b² + 7b + 7b + 49

= b² + 14b + 49

Answer: c² - 6c + 9

Step-by-step explanation:

(c - 3)(c - 3)

= c(c - 3) -3(c - 3)

= c² - 3c - 3c + 9

= c² - 6c + 9

SHORTCUT: These are perfect squares. There is a formula for multiplying perfect squares: (a ± b)² = a² + 2ab + b²

(a + 2)² = a² + 2(a)(2) + (2)²

= a² + 4a + 4

(b + 7)² = b² + 2(b)(7) + (7)²

= b² + 14b + 49

(c - 3)² = c² + 2(c)(-3) + (-3)²

= c² - 6c + 9

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Step-by-step explanation:

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3 years ago

4 4/5 divided by 1 1/2

vesna_86 [32]

Answer:

1⅗

Step-by-step explanation:

=44/5÷11/2

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2 years ago

Read 2 more answers

mrs jones gave 1/5 of a cake to her neighbour. she then sliced the remainder into 3 pieces for her 3 children, ken, ron and davi

Arturiano [62]

The fraction of the cake that was ron's pieces is 1/5.

<h3>What is the fraction of the cake was ron's pieces?</h3>

Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).

Since Mrs Jones gave 1/5 of a cake to her neighbour, the remaining fraction will be:

= 1 - 1/5

= 4/5

The fraction of the cake that was ron's pieces will be:

= 2/(1+3+4) × 4/5

= 2/8 × 4/5

= 8/40

= 1/5

Learn more about ratio on:

brainly.com/question/2328454

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10 months ago

The graph of the quadratic function f is shown in the grid. Which of these best represents the domain of f?

Marysya12 [62]

Answer:

D) all real numbers

Step-by-step explanation:

domain refers to all of the x-values on the graph and this curve can extend indefinitely in both the positive and negative directions

6 0

1 year ago

Look at the graph below and answer the following.

bearhunter [10]

Answer:

Part 1) The graph has three (3) x-intercepts and has one (1) y-intercept

Part 2) The y-value of the minimum point is -3

Part 3) f(4)=3

Part 4) f(0)=3

Part 5) f(5)=1.5

Part 6) x=-6

Part 7) The horizontal line y=-1 intersects the graph three times

Part 8) The value of the function for f(6) is equal to zero

Part 9) The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) The function is positive on the interval (-3,6) and (10,11) and is negative on the interval (-6,-3) and (6,10)

Step-by-step explanation:

Part 1) Find the number of x-intercepts and y-intercepts of the graph

we know that

The x-intercepts are the values of x when the value of y (the function) is equal to zero

Look at the graph

The graph has 3 x-intercepts

The x-intercepts are the points (-3,0), (6,0) and (10,0)

The y-intercepts are the values of y when the value of x is equal to zero

Look at the graph

The graph has 1 y-intercept

The y-intercept is the point (0,3)

Part 2) The y value of the minimum point on the graph is?

we know that

Look at the picture

The minimum point is (-6,-3)

therefore

The y-value of the minimum point is -3

Part 3) f(4) is equal to?

we know that

f(4) is the value of the function when the value of x is equal to 4

Look at the graph

For x=4

The value of the function is equal to y=3

therefore

f(4)=3

Part 4) f(0) is equal to?

we know that

f(0) is the value of the function when the value of x is equal to 0

Look at the graph

For x=0

The value of the function is equal to y=3

therefore

f(0)=3

Part 5) f(5) is equal to?

we know that

f(5) is the value of the function when the value of x is equal to 5

Look at the graph

For x=5

The value of the function is about y=1.5 (see the attached figure)

therefore

f(5)=1.5

Part 6) The value of x when f(x)= -3 is?

Look at the graph

we have the point (-6,-3)

when the value of f(x)=-3

the value of x is equal to x=-6

Part 7) The horizontal line y = -1 intersects the graph _____ times?

Look at the graph

The horizontal line y=-1 intersects the graph three times (see the attached figure)

Part 8) f(6) is positive or negative?

Look at the graph

we have the point (6,0)

For x=6

The value of the function is equal to zero

Part 9) Is the graph increasing or decreasing on the interval -6?

Look at the graph

The function is increasing on the interval (-6,-2) and (8,11) and the function is decreasing on the interval (2,8)

Part 10) Is the graph positive or negative on the interval 6

Look at the graph

The function is positive (f(x) > 0) on the interval (-3,6) and (10,11) and is negative (f(x) < 0) on the interval (-6,-3) and (6,10)

4 0

3 years ago