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Andrej [43]
4 years ago
8

Find the slope of line passing through the two points, (7, 1) and (-2, 1).

Mathematics
1 answer:
Mamont248 [21]4 years ago
3 0

Answer: m = 0

Step-by-step explanation:

Slope (m) = y2 - y1/,x2 - x1 : meaning increase in y divided by increase in x . it can also be written as ∆y/∆x

y1= 1, y2 = 1, x1 = 7, x2 = -2

Substitute for those values in the equation above

m = 1 -1/-2 - 7

= 0/-9

Therefore,

m = 0

The slope of the line passing through those coordinates = 0

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n
Andrew [12]
Part 1
We are given x^2-21x=-4x. This can be rewritten as x^2-18x=0.
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
     x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}
     x=\frac{18\pm 18}{2}

The values of x are
     x_1=\frac{18-18}{2}=0
     x_2=\frac{18+18}{2}=18

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function. 

Part 3.
The first equation is y=x^2+2.
The second equation is y=3x+20.

We have 
     x^2+2=3x+20
     x^2-3x-18=0
Factoring, we have 
     \left(x-6\right)\left(x+3\right)=0
Equating both factors to zero.
     x_1-6=0\rightarrow x_1=6
     x_2+3=0\rightarrow x_2=-3

When the value of x is 6, the value of y is 
     y=3\left(6\right)+20=38

When the value of x is -3, the value of y is 
     y=3\left(-3\right)+20=11

Therefore, the solutions are (6,38) or (-3,11)
7 0
3 years ago
Classify each as an expression or an equation.
fenix001 [56]

Answer:

1. equation

2. equation

3. expression

4. expression

explanation is that an equation has an equal sign and an expression doesnt .  

5. equation

Step-by-step explanation:

6 0
4 years ago
HELP!
Alexxx [7]

Answer:

LIMIT

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$100,000 of damage to

another person's property.

The policy will pay only

$100 per incident for a

tow truck

DEDUCTIBLE

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the first $1,000 of repair

expenses before insurance

will pay for anything,

PREMIUM

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for a cost of $178 per month

The policyholder must

pay $500 semiannually

to the insurance provider

Step-by-step explanation:

LIMIT is the maximum amount an insurer will pay toward a covered claim

DEDUCTIBLE is the amount paid out of pocket toward a covered claim

PREMIUM is the amount paid regularly to keep the policy in force.

6 0
3 years ago
Which is a factor of x2 – 9x + 14?
PtichkaEL [24]

Answer:

(x-7)(x-2)

Step-by-step explanation:

what multiples to 14, but add to -9 ?

-7*-2 = 14

-7*-2= -9

8 0
3 years ago
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Evaluate the expression 2(3-5)^3+4(-4+7)
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Answer:

the answer I got is negative 4

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2 years ago
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