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zaharov [31]
3 years ago
7

Write the point-slope form of the line that passes through (6, 1) and is parallel to a line with a slope of -3. Include all of y

our work in your final answer. Type your answer in the box provided to submit your solution.
Please explain how to do this :)
Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

(y - 1) = -3(x - 6)

Step-by-step explanation:

The equation of a line in point-slope form is

(y-y_{1}) = m (x-x_{1})

where y1 and x1 are 2 known points, and m is the slope of the line. So simply just fill in the blanks.

y is a variable so it is left alone (since there is no subscript).

y1 we are told is 1.

m we are told is -3 (the slope)

x is a variable so it is left alone (since there is no subscript).

x1 we are told is 6.

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Let m = 6x +5.<br> Which equation is equivalent to (6x + 5)^2 – 10 = -18x – 15 in terms of m?
aev [14]

Answer: m² + 3m - 10 = 0

Step-by-step explanation:

From the expression, considering

6x + 5 = m

The original expression

( 6x + 5 )² - 10 = -18 - 15

Factorize the right hand expression,

-18 - 15 = -3( 6x - 15 )

Since m = 6x + 5 , we now substitute for m in that expression

m² - 10 = -3m

Now re arrange the equation in the form,

ax² - bx + c = 0

Now back to the equation,

m² + 3m - 10 = 0,

So the equivalent equation will be

m² + 3m - 10 = 0

7 0
4 years ago
Sara has $150 in her savings account. The amount in her account increases by %6 every year. If she does not put more money into
strojnjashka [21]

Answer:

$159

Step-by-step explanation:

we know that

The equation of a exponential growth function is equal to

y=a(1+r)^x

where

y is the balance in the saving account

x is the number of years

a is the initial amount

r is the percent rate of change

we have

a=\$150\\r=6\%=6/100=0.06

substitute

y=150(1+0.06)^x

y=150(1.06)^x

For x= 1 year

substitute

y=150(1.06)^1=\$159

3 0
3 years ago
Chen can jump rope 60 times a minute at that rate how many jumps can he make in 9 minutes
USPshnik [31]
540, i have to write 20 characters to explain it but 540

3 0
3 years ago
Read 2 more answers
Can someone help me with this plz??
mamaluj [8]

Answer:

f(x) = -4x-1

f(7) = -(4)(7)-1

f(7) = -29

g(x) = 4x^2 - x

g(-4) = 4(-4)^2 - (-4)

g(-4) = 4(16) + 4

g(-4) = 64 + 4

g(-4) = 68

Let me know if this helps!

7 0
3 years ago
Determine the relationship described in each table.<br><br><br> Please help me
SCORPION-xisa [38]
I graphed the given points and based on my graph.

<span> x    y  </span>→ EXPONENTIAL<span><span>
</span> <span> -2 21
</span><span> 1   4
</span><span> 0   1
</span><span> 1   0

</span></span><span> x    y  </span>→ LINEAR<span><span>
</span> <span> -2   6
</span> <span> -1 -2
</span><span> 0   2
</span><span> 1  6
</span></span>
<span> x    y  </span>→ QUADRATIC<span><span>
</span> <span> -2 12
</span> <span> -1 -2
</span><span> 0 -8
</span><span> 1 -6

</span></span><span> <span><span> x   y  </span></span></span>→ EXPONENTIAL<span><span><span>
</span> <span> -2 16
</span> <span> -1  8
</span><span> 0   4
</span><span> 1  2

LINEAR FUNCTIONS always maintain a constant slope. In the above linear function, the slope is 4. 

EXPONENTIAL and QUADRATIC FUNCTIONS have different slope in every point.

Exponential functions can be identified by the immediate increase or decrease in the value of y resulting to a minimal increase or decrease in the value of x. 

Quadratic functions can be identified as such due to the similar points it has after having the vertex. 

</span></span></span>

5 0
3 years ago
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