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Alexandra [31]
3 years ago
7

What are the x-intercept and the y-intercept of this function? f(x) = 4x + 12

Mathematics
2 answers:
KonstantinChe [14]3 years ago
7 0

Answer:

x=3 y=0

Step-by-step explanation:

kvv77 [185]3 years ago
5 0

Answer:

-3, 12

Step-by-step explanation:

\mathrm{Solve\:}\:4x+12=0:\quad x=-3

\left(-3,\:0\right)

\mathrm{Solve\:}\:y=4\cdot \:0+12:\quad y=12

\left(0,\:12\right)

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Hey can you please help me posted picture of question :)
sergejj [24]
Answer:
The solutions are:
x = -5
x = -6

Explanation:
To get the solution, we can either use a graphical method or an algebraic method.

1- graphical method:
The solution of the equation would be the values of the x-intercept.
Graphing the equation (check attached image), we would find that the solutions are: -6 and -5

2- algebraic method:
The general formula of the quadratic equation is:
ax² + bx + c = 0
The given equation is:
x² + 11x + 30 = 0
By comparison:
a = 1
b = 11
c = 30
To get the roots, we will substitute in the quadratic formula  (attached in the images)
Doing this, we will find that:
either x = \frac{-11 +  \sqrt{(11)^2-4(1)(20)} }{2(1)}= -5

or x = \frac{-11 - \sqrt{(11)^2-4(1)(20)} }{2(1)} = -6

Hope this helps :)



5 0
4 years ago
A rectangle has length x and width x – 3. The area of the rectangle is 10 square meters. Complete the work to find the dimension
Tamiku [17]

Answer:

Step-by-step explanation:

Area of rectangle = Length × Width

The given rectangle has a length if x meters

The width of the triangle is (x-3) meters

The area of the rectangle is given as 10 square meters.

Area if rectangle = x(x-3) = 10

Multiplying each term in the parentheses,

x^2 -3x = 10

x^2 -3x -10 = 0

This is a quadratic equation

We will look for two numbers such that when they are multiplied, it will give us -10x^2 and when they are added, it will give -3x. It becomes

x^2 + 2x - 5x -10 = 0

x(x+2)-5(x+2) =0

( x + 2)(x-5) = 0

x = -2 or x = 5

The length of the rectangle cannot be negative so the length is 5 meters

Widith = x+3 = 5-3 = 2 meters

5 0
4 years ago
During a long road trip, you drive 420 miles on a 12-gallon tank of gas. What is your gas mileage (in miles per gallon)?
miss Akunina [59]
420 miles/ 12 gallons= 35 miles per gallon

Final answer: 35 miles per gallon
7 0
4 years ago
Natalie walked 3/5 mile in 1/2 hour. How fast did she walk, in miles per hour?
lesya [120]
35 divided by 12 is 2

So D is the answer
8 0
4 years ago
Read 2 more answers
Need answer ASAP!! Jessica has twice as many CDs as Fran, and Fran has five more than three times as many CDs as Alyssa. Let c =
blsea [12.9K]

Answer:

10 + 6C

Step-by-step explanation:

C = the number of CDs Alyssa has

Alyssa has C CDs

Fran has five more than three times as many CDs as Alyssa.

Fran has 5 + (3 * C)

Fran has (5 + 3C) CDs

Jessica has twice as many CDs as Fran

Jessica has 2 * (5 + 3C) CDs

Jessica has 10 + 6C CDs

6 0
3 years ago
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