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Sauron [17]
3 years ago
9

Use the substitution method to solve the system of equations. Is there a unique solution, no solution, or infinitely many soluti

ons? show your work for this question
12x + 4y = 60
3x + y = 15
Mathematics
2 answers:
Amanda [17]3 years ago
7 0
Okay the first one can't have anything done to it. the second one is that you move all terms that don't contain to right side and solve
olga_2 [115]3 years ago
6 0
I hope this helps you


-4/3x+y=15


-12x-4y= -60


12x+4y=60


0=0


no solution
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4x^2=27x+40<br> Solve by factoring
worty [1.4K]

Answer: hewo, there! your answer is below

x= -5/4

or x= 8

Step-by-step explanation:

step 1: Subtract 27x+40 from both sides.

4x2−(27x+40)=27x+40−(27x+40)

4x2−27x−40=0

Step 2: Factor left side of equation.

(4x+5)(x−8)=0

Step 3: Set factors equal to 0.

4x+5=0 or x−8=0

hope this helps you

have a great Day

Plz makr branilest

8 0
2 years ago
Find the sum of the first 12 terms of the sequence. Show all work for full credit. 1, -4, -9, -14, . . . (2 points)
My name is Ann [436]

<u>Answer:</u>

S_n= -348

<u>Step-by-step explanation:</u>

We are given the following arithmetic sequence and we are to find the sum of its first 12 terms:

1, -4, -9, -14, . . .

For that, we will use the formula for the sum of the arithmetic mean:

S_n=\frac{n}{2} (a_1+a_n)

We know the value of the first term (a_n) but we need to find the value of a_{12}. So we will use the following formula:

a_{12}=a_1+(n-1)d

a_{12}=(-4)+(12-1)(5)

a_{12}=-59

Substituting these values in the sum formula to get:

S_n=\frac{12}{2} (1+(-59))

S_n= -348

4 0
3 years ago
Read 2 more answers
Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s
Lilit [14]

Answer:

y-2=\displaystyle -\frac{3}{4}(x-1)

OR

y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

Step-by-step explanation:

Hi there!

Point-slope form: y-y_1=m(x-x_1) where <em>m</em> is the slope of the line and (x_1,y_1) is a given point

Given that the slope is -3/4, we can plug it into y-y_1=m(x-x_1) as <em>m</em>:

y-y_1=\displaystyle -\frac{3}{4}(x-x_1)

We can also plug in the given point (1,2):

y-2=\displaystyle -\frac{3}{4}(x-1)

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate <em>y</em>:

y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}

I hope this helps!

8 0
2 years ago
A line is an undefined term because it. . contains an infinite number of points. . can be used to create other geometric shapes.
Veseljchak [2.6K]
The correct answer is statement number 3. A line is an undefined term because it describes something that does not have width or depth. However, lines can extend its length in both side infinitely. It contains arrowheads indicating it can extend.
8 0
3 years ago
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Priscilla can make 3 bracelets in 15 minutes. At this rate, how many bracelets can she make in 30 minutes?
BigorU [14]

Answer:

6 bracelets

Step-by-step explanation:

If she can make 3 in 15, just multiply by 2 to get 30 minutes. Therefore she can make 6 bracelets in 30 minutes.

7 0
2 years ago
Read 2 more answers
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