Solve the system of equations. y = –4x y = 2x^2 – 15x

Answers

Answer 1

Answer:

X=0, x= 11/2. y=0, y=-22

Answer 2

The solution to the equation are (0, 0) and (11/2, -22) after solving the equation by substitute method.

What is a quadratic equation ?

Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.

As we know, the formula for the roots of the quadratic equation is given by:

[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]

We have system of equation:

y = –4x ..(1)

y = 2x² – 15x  ..(2)

Plug the value of y in the equation (2)

-4x = 2x² – 15x

2x² – 15x +4x = 0

2x² - 11x = 0

x(2x - 11) = 0

x = 0 or x = 11/2

Plug this values in the equation (1)

y = 0, or y = -22

Thus, the solution to the equation are (0, 0) and (11/2, -22) after solving the equation by substitute method.

Learn more about quadratic equations here:

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Related Questions

What is the formula for finding the area of a rhombus! ! Help i’m too slow for this.

Answers

Answer:

If it is using base and height: A = b x h

If using Trigonometry:  A = b2 x Sin(a)

Step-by-step explanation:

A = Area

B= Base

H= Height

Use distribute property to simplify the expression 5(x+4)

Answers

(multiply each term in the parentheses by 5)

5(x+4)

5 x x = 5x

5 x 4 = 20

5x + 20

Answer:

[tex]\huge\fbox{5x+20}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we multiplied a by everything inside the parentheses.

Now, let's use this property to solve our problem:

[tex]\bold{5(x+4)}\\\bold{5x+20}[/tex]

Hope it helps!

[tex]\rm{Have~a~great~day!}[/tex]

~Just a teenage girl willing to help

[tex]\bold{We~Are~Besties4Ever}[/tex] :)

please help asap!!!
much appreciated

Answers

Answer:

I cannot give you a full answer because it's missing crucial information- the points on the graph. However, I can give you insight!

Suppose one point is (2,3), if you want to scale it by a factor of 3, you would simply multiply both variables by 3. So the new point would be (6,9).

If you want to scale (4,7) by factor of 2, you would multiply the 4 and the 7 with 2. The new point would be (8,14).

Carmen is putting together a business plan for her sandwich restaurant, Subs Away, so she can expand to another location. She wants to include some information about recent sales but only has certain information about last month's sales. She currently offers ham, turkey and vegetarian sandwiches. She sells the ham sandwiches for $10 each and the turkey sandwiches for $11.25. Answer key

Answers

Complete Question

Carmen is putting together a business plan for her sandwich restaurant, Subs Away, so she can expand to another location. She wants to include some information about recent sales but only has certain information about last month's sales. She currently offers ham, turkey and vegetarian sandwiches. She sells the ham sandwiches for $10 each and the turkey sandwiches for $11.25.

Last Month's Vegetarian Sales

Total Sandwiches Sold 75

Total Income $712.50

How much does Carmen charge for the vegetarian sandwich?

Answer:

 [tex]X=9.5[/tex]

Step-by-step explanation:

From the question we are told that:

Total Vegetarian Sandwiches Sold [tex]T_{vs}=75[/tex]

Total Vegetarian Sandwiches Income [tex]T_{vi}=$712.50[/tex]

Generally the equation for Cost of vegetarian sandwich is mathematically given by

 [tex]X=\frac{Total\ income\ from\ vegetarian\ sandwich}{No.\ of\ vegetarian\ sandwich\ sold}[/tex]

 [tex]X=\frac{T_{vi}}{T_{vs}}[/tex]

 [tex]X=\frac{712.50}{75}[/tex]

 [tex]X=\$9.5[/tex]

What is the area of this triangle?

Answers

Answer:

I cant see the whole question

What is wrong with this solution? -6t + 16 = -8 Step One: -6t + 16 = -8 - 16 Step Two: -6 • -6t = -24 • -6 Solution: t = 144

Answers

Answer:

t = 4

Step-by-step explanation:

In step two, instead of multiplying by -6 on both sides, you need to divide by -6 to isolate t.

-6t = -24

÷-6    ÷-6

t = 4

When you multiply by -6 on both sides, the equation would be 36t = 144, which is not what we want. The opposite of multiplication is division, and in order to get the answer, you divide by the number multiplied.

I think this should be it?

) Daniel's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
12 adult tickets and 6 child tickets for a total of $108. The school took in $128 on the second day
by selling 2 adult tickets and 12 child tickets. What is the price each of one adult ticket and one
child ticket?
pls help this is due in five mins

Answers

Answer:

$10 for child tickets and $4 for adult tickets.                                                      

Step-by-step explanation:

Let a = price of adult tickets

     c = price of child tickets

(1)    12a + 6c = 108           (2)    2a + 12c = 128    Multiply (2) by -6

      -12a - 72c = -768

              -66c = -660

                   c = $10                   2a + 12(10) = 128

                                                  2a + 120 = 128

                                                              2a = 8

                                                                a = $4

Something is wrong.  The adult tickets should be more than the child tickets.

But,  according to the info you have given, it comes out to $10 for child tickets and $4 for adult tickets.                                                        

                 

                                         

What is the area of this triangle?

Answers

Answer: 30 in

Step-by-step explanation:

left f(x)=|x| and g(x)=x+2. what are the domain and range of (f°g)(x)

Answers

Answer:

[tex](fog)(x)=|x+2|[/tex]

[tex]Dom_{fog} = R[/tex]

[tex]Range_{fog}=[0,\infty)[/tex]

Step-by-step explanation:

50 points
PLEASE HELP ASAP

Answers

Answer:

1

Step-by-step explanation:

can I get help solve 2-4×=14​

Answers

Answer:

-3

Step-by-step explanation:


Answer the Questions Based on the Venn Diagram
Badminton
Volleyball
13
8
7
10
9
12
15
=95
21
Baseball
1) How many students like both Badminton and Baseball but not Volleyball

Answers

1) answer is 9 for badminton and baseball but not volleyball

Jordy bought 3 stamps, 2 sets of 20 stamps, 4 sets of 12 stamps, and 1 set of 10 stamps. How many stamps did jordy buy?

Answers

Answer: 101

Step-by-step explanation:

Answer:

101

Step-by-step explanation:

yeah.

Find the measure of the arc or angle indicated. Find m angle FDE

Answers

Answer:

57

not sure abotu the answer

What is the area of the figure?

Answers

Answer:

20m

Step-by-step explanation:

the 4m and 2m on the right can make a rectangle for 8m, then you can make another rectangle on the left side with the remaining 4m (from the 8m side) to make 8m so now were at 16, the triangle remainse, the length is 4m and the height is 2m making 8/2 or 4

16+4 = 20m

- Gage Millar, Algebra 2 tutor

Please help! I will give Brainliest!
Who is correct?

Answers

Answer:

The inside angles have to equal 180 degrees so

So Hazel is correct

Answer: Hazel is correct

What is true about the net of a pyramid? It will always contain exactly 1 triangle. It will always contain exactly 2 triangles. It can contain any number of triangles greater than or equal to 3. It can contain any number of triangles greater than or equal to 4. pls i will mark brainly caca

Answers

Answer:

im pretty sure its "D" It can contain any number of triangles greater than or equal to 4.

Step-by-step explanation:

Evaluate 4x^2+3y for x=5 and y=6

Answers

Answer:

2025+18=2043

Step-by-step explanation:

Answer:

118

Step-by-step explanation:

4x^2 + 3y

4(5^2) + 3(6)

4 * 25 + 18

100 + 18

118

Please someone help me im literally desperate

NO LINKS OR FILES

Answers

Answer:

(1, 0) ; (3, 0)

Step-by-step explanation:

the answer above is correct

since a light year is a unit of astronomical distance equal to the distance light travels in one year, which phrase best completes the sentence? the distance from the sun to the earth would be ______
a-any number
b-less than one light year
c-exactly one light year​

Answers

Answer:

b

Step-by-step explanation:

In ΔJKL, j = 27 cm, k = 82 cm and ∠L=162°. Find the area of ΔJKL, to the nearest square centimeter.

Answers

Answer:

[tex]684\:\mathrm{cm^2}[/tex]

Step-by-step explanation:

The area of any triangle is equal to [tex]A=\frac{1}{2}\cdot a\cdot b\cdot \sin C[/tex], where [tex]a[/tex] and [tex]b[/tex] are two sides of a triangle and [tex]C[/tex] is the angle between them.

Plugging in given values, we have:

[tex]A=\frac{1}{2}\cdot 27\cdot 82\cdot \sin 162^{\circ}=\boxed{684\:\mathrm{cm^2}}[/tex]

Answer:

342

Step-by-step explanation:

see image

Find the value of x.

:]]

Answers

Answer:

144

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

This is a right angle (complementary angles) so 90-43 is 47 and the angel is x - 7 so you have to add 7. Answer is 54 <3

can someone pls help and pls dont get it wrong

Answers

Answer:

D

Step-by-step explanation:

The inverse property states that any number multiplied by its reciprocal equals 1.

Please help me I need help I give brainly:)

Answers

y is 3 :) !!!!!!!!!!!!! hi

Answer:

i don't know how i can help you

Step-by-step explanation:

The diameter of a circular coffee can lid is 5 inches. Which measurement is closest to the area of the coffee can lid? A. 7.9in. B. 19.6in C. 31.4in D. 78.5in​

Answers

Answer:

Step-by-step explanation:

A circle has a circumference of 615.44615.44615, point, 44 units.
What is the radius of the circle?

Answers

Answer:

radius of circle is 97.91

THE FASTEST AND MOST ACCURATE GETS THE BRAINLIEST NO LINKS PLS. Hannah and Harold are making cookies for a bake sale, and they need to make a lot of them. They need to make 70 baggies of cookies that each have 4 cookies in them. The recipe they are using says that one batch will make 2 dozen cookies.

Answers

Answer:

They need to make at least 12 batches.

Step-by-step explanation:

First, we need to find how many cookies in total, so we multiply 70 by 4.

70*4 = 280.

Secondly, 1 batch makes 2 dozen cookies, or technically 24 cookies. So we need to find how many batched with 280 divided by 24. This results in 11.6 repeating. But if you round it up, you get 12.

Time to check:

12 * 24 = 288. So it's the amount of cookies needed with 8 remaining.

Hope this helps.

Lily had 95 inches of yarn. After cutting 4 pieces that were each the same length, she had 15 inches of yarn left.
How long was each of the 4 peices of yarn that Lily cut?

Answers

Each was 10 inches because she had 95 and 95-15=40 divided by 4 = 10

Answer:

20 inches

Step-by-step explanation:

Step 1: Subtract the total from what was left

[tex]95 - 15 = 80[/tex]

Step 2: Divide the result into the 4 pieces

[tex]80 \div 4[/tex]

[tex]=\frac{80}{4}[/tex]

[tex]= 20[/tex]

Each of the four pieces Lily cut was 20 inches.

Pls Help me out homies ​

Answers

Answer:

Just taking my points back

Which ordered pair is the solution of the system?
x + 3y = 2
2y - x= 3

Please answer it’s due in 1 hour

Answers

Answer:

[tex] x = (-1)\ \& \ y =1[/tex]

Step-by-step explanation:

Given :-

x + 3y = 22y - x = 3

And we need to find out the ordered pair is the solution of the system . The system is ,

[tex]\begin{cases} x + 3y = 2 \quad \dots (i) \\\\ 2y - x =3\quad \dots (ii) \end{cases}[/tex]

We can see that the signs of x are opposite in the given equation .So on adding we can eliminate x .

On adding the equations :-

[tex]\implies 3y + 2y = 3+2 \\\\\implies 5y = 5 \\\\\implies y = 1 [/tex]

Substitute for y :-

[tex]\implies 3 + x = 2 \\\\\implies x = 2-3 \\\\\implies x = -1 [/tex]

Hence the value of x is -1 and y is 1

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