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ivolga24 [154]
3 years ago
12

Calculate the exact value of 70/15 × 14/5

Mathematics
1 answer:
IceJOKER [234]3 years ago
6 0

Answer:

14^2/15

Step-by-step explanation:

70/15 simplifies to 14/3

14/3 X 14/5

= 14^2/15

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The diagram below shows part of the graph of the quadratic function f(x)=a(x-h)(x-k) with the condition h<k. Point P is the m
Valentin [98]

Answer:

see explanation

Step-by-step explanation:

(a)

The zeros are x = 1 and x = 5, thus the factors are (x - 1) and (x - 5)

f(x) = a(x - 1)(x - 5)

To find a substitute (0, 15), the coordinates of the y- intercept into the equation.

15 = a(0 - 1)(0 - 5) = a(- 1)(- 5) = 5a ( divide both sides by 5)

a = 3

Thus h = 1, k = 5, a = 3 and

f(x) = 3(x - 1)(x - 5)

(b)

The axis of symmetry is a vertical line with equation x = c ( c is a constant )

The axis of symmetry passes through the midpoint of the zeros

x = \frac{1+5}{2} = \frac{6}{2} = 3

Equation of axis of symmetry is x = 3

(c)

The axis of symmetry passes through P, with x- coordinate x = 3

Substitute x = 3 into the function for corresponding value of y

f(3) = 3(3 - 1)(3 - 5) = 3(2)(- 2) = - 12

Coordinates of  P = (3, - 12 )

6 0
4 years ago
Read 2 more answers
1.On which number line are –4 and its opposite shown?2.Which of the following describes the location of the opposite of the numb
anzhelika [568]

Answer:

1. d

2. 2

Step-by-step explanation:

if it's a negative it's opposite will be a positive and vice versa

8 0
3 years ago
Design the image of UAE Mars mission-rocket in the following graph sheet and write
Minchanka [31]

i hope these 3 images helps

6 0
3 years ago
Convert 45/10 into a mixed number
Maksim231197 [3]

Answer:

4 5/10

Step-by-step explanation:

Divide. You will have a remainder. Put the remainder over the denominator:

45/10 = 40/10 + 5/10 = 4 5/10

4 5/10 is your answer.

~

7 0
3 years ago
Read 2 more answers
Solve −4 = −(−k − 86)+10
kvasek [131]
K= 100
 
You use distributive property 
<span>
Step 1: </span><span>−(−k)−1(−86)+10=−4

Step 2: </span><span>k−1(−86)+10=−4

Step 3: </span><span>k+86+10=−4

Step 4: </span><span>k+96=−4

Step 5:  </span><span>k=−96−4

Step 6:  </span><span>Subtract </span>4<span> from </span><span>−96</span><span> to get </span><span><span><span>−100</span>.</span></span>
3 0
3 years ago
Read 2 more answers
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