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Kazeer [188]
3 years ago
12

Tom determines that the system of equations below has two solutions, one of which is located at the vertex of the parabola. Equa

tion 1: (x – 3)2 = y – 4 Equation 2: y = -x + b In order for Tom’s thinking to be correct, which qualifications must be met?
Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

b=7

Step-by-step explanation:

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Write the rule for the following arithmetic sequence: 11, 15, 19, 23, …
miv72 [106K]
11,15,19,23

an = 11 + 4(n-1)
an = 11 + 4n - 4
an = 4n + 7
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3 years ago
Given the function h(x) =1/3 |x-6| +4, evaluate the function when x = - 3, - 2, and 0
Masja [62]

|x| = x for x ≥ 0

examples:

|3| = 3; |0.56| = 0.56; |102| = 102

|x| = -x for x < 0

examples:

|-3| = -(-3) = 3; |-0.56| = -(-0.56) = 0.56; |-102| = 102

--------------------------------------------------------------------------------

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

--------------------------------------------------------------------------------

h(x)=\dfrac{1}{3}|x-6|+4

Put the values of x to the equation of the function h(x):

x=-3\to h(-3)=\dfrac{1}{3}|-3-6|+4=\dfrac{1}{3}|-9|+4=\dfrac{1}{3}(9)+4=3+4=7\\\\x=-2\to h(-2)=\dfrac{1}{3}|-2-6|+4=\dfrac{1}{3}|-8|+4=\dfrac{1}{3}(8)+4=\dfrac{8}{3}+\dfrac{12}{3}=\dfrac{20}{3}\\\\x=0\to h(0)=\dfrac{1}{3}|0-6|+4=\dfrac{1}{3}|-6|+4=\dfrac{1}{3}(6)+4=2+4=6


6 0
2 years ago
melissa is driving along a highway at a constant soeed of 65 mph. how long does it take her to travel 90 miles?
Umnica [9.8K]

Answer:

1.4 hours or 83 minutes

Step-by-step explanation:

90 mi / 65 mph = 1.4 hr

4 0
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How could you correctly rewrite the equation 6(11-3)=4(7+5) using the distributive property?
Lemur [1.5K]

Answer:

66-18=28+20

Step-by-step explanation:

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Express 4/5 as a decimal using long division
Hoochie [10]

Here, we want to express the given fraction as a decimal by the use of long division

We start by writing the long division sign

We place 5 on the left hand side outside and place 4 inside the long division sign

Now, as we know, 4 cannot divide 5 wholly as it is less than 5

We simply add a 0 at the top of the long division symbol, with a decimal point after it.

Concurrently, we place a zero after 4

Hence we have 40 inside the long division

Then we can divide 40 by 5 to get 8

The 8 now comes after the decimal point

Hence, our answer is 0.8

Pictorally, we can have the representation as follows;

5 0
1 year ago
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