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Lubov Fominskaja [6]
4 years ago
10

What is the equation of a line with a slope of 7 and a point (1, 8) on the line?

Mathematics
1 answer:
stira [4]4 years ago
6 0
Slope: 7   given point: (1,8)

y = 7x + b          step 1 - plug in the slope in the formula
8 = 7(1) + b       step 2 - plug in the given point
8 = 7 + b           step 3 - simplify the expression
b = 1                 step 4 - solve for b
y = 7x + 1         step 5 - plug in b

formula: y = 7x + 1
You might be interested in
Let F(x)=-7x-12 and g(x)=13-3x. What is f-g?
Oxana [17]

Answer:

(f - g)x = -4x - 25

Step-by-step explanation:

Given:

f(x) = -7x - 12

g(x) = 13 - 3x

Required:

(f - g)x

SOLUTION:

(f - g)x = f(x) - g(x)

f(x) - g(x) = (-7x - 12) - (13 - 3x)

= -7x - 12 - 13 + 3x

Collect like terms

= -7x + 3x - 12 - 13

(f - g)x = -4x - 25

8 0
4 years ago
Hey can you please help me posted picture of question
MAXImum [283]
Answer:
The solutions of the equation are:
4/3 and 5/8

Explanation:
To get the solution of the equation, we can either solve it algebraically or graphically.

1- algebraic solution:
The general form of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
24x² - 47x + 20 = 0
By comparison, we can find that:
a = 24
b = -47
c = 20

Now, to get the roots, we will use the quadratic equation shown in the attached image.

Substituting in the equation, we would find that:
either x = \frac{-(-47) +  \sqrt{(-47)^2-4(24)(20)} }{2(24)} =  \frac{4}{3}
or x = \frac{-(-47) - \sqrt{(-47)^2-4(24)(20)} }{2(24)} = \frac{5}{8}

2- graphical solution:
To get the solution means to get the values of the x-intercepts.
Graphing the function (see attached image), we would find that the solutions are:
0.625 which is equivalent to 5/8 
and 1.3333 which is equivalent to 4/3

Hope this helps :)

3 0
3 years ago
Find the proceeds for the simple discount note.
Ronch [10]
Given:
<span>Face value $4,530,
discount rate 7.2%,
time 125 days

Discount on Simple Discount note:
Discount = Maturity Value * discount rate * term
Discount = 4,530 * 0.072 * 125/360
Discount = 113.25

Proceeds for the simple discount note
Proceeds = Maturity Value - Discount
Proceeds = 4,530 - 113.25
Proceeds = 4,416.75

The proceeds for the simple discount note is $4,416.75</span>
8 0
3 years ago
I can’t tell if 3 is a dilation or not!
S_A_V [24]

Answer:

No, its not

Step-by-step explanation:

The points of the image are not moved away from the center of dilation proportionally. I don't think anyway.

3 0
3 years ago
What is the surface area
labwork [276]

Answer:

144 is the surface area

Step-by-step explanation:

Multiply 5 x 8 for the 3 rectangles. You will get an answer of 40. 40 x 3 is 120. For the 2 triangles you multiply 6 x 4 divided by 2 times 2 which is 24 lol. 120 + 24 = 144.

5 0
3 years ago
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