Solve the simultaneous equations
y = 2x^2
y = 3x + 14

Answers

Answer 1

Answer:

x = -2

And, x = 7 ÷ 2

Step-by-step explanation:

Given that

y = 2x^2

y = 3x + 14

Now equate these two above equations

2x^2 = 3x + 14

2x^2 - 3x - 14

2x^2 -7x + 4x - 14

x(2x - 7) + 2(2x - 7)

(x + 2) (2x - 7)

So it can be x = -2

And, x = 7 ÷ 2


Related Questions

Tell whether a triangle can have sides with the
given lengths. Explain, why or why not.
3x + 2, x?, and 2x when x = 4

Answers

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

2x

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

If a point (5,2) is rotated counterclockwise 90º about the origin, its image will be point

(Im on a timed test, please help)

theres are the answer choices:
A. (-2, 5)

B. (-5, 12)

C. (2, 5)

D. (2, -5)

Answers

Answer:

The answer is A

Step-by-step explanation:

simplify 4 to the 11th power over 4 to the -8th power

Answers

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

What is the value of x?

Answers

Answer:

square root of 72

or 3 to the square root of 8

Step-by-step explanation:

If it takes 5 1/4 minutes to make one cut through a log, how long will it take to cut a 5 ft log into 5 equal pieces?

Answers

Answer:

try 30 1/4

Step-by-step explanation:

Fully factorise 20x + 16.
.
2
-2

2
TT
0
Enter your answer

Answers

Answer:

4(5x+4) is the answer

Step-by-step explanation:

..............

(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

(d) Describe what the number 30 in Part (c) mean in the context of the situation?

Answers

Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 30[/tex]

Solving (c): What is y when x is 3

Substitute 3 for x in [tex]y = 7x + 30[/tex]

[tex]y = 7*3 + 30[/tex]

[tex]y = 21 + 30[/tex]

[tex]y = 51[/tex]

Solving (d): What does 30 represent

An equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]b = y\ intercept[/tex]

Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]

[tex]b = 30[/tex]

This implies that 30 represents the y intercept

It takes a total of 3 hours to wash every window on a building. There are 30 windows. How many minutes does it take to wash just one window? (4 points)
O 6 minutes
O 60 minutes
180 minutes
O 5,400 minutes

Answers

6 minutes per window. Multiply 3(60) and then divide by the number of windows (30)

Answer:

A. 6 minutes

Step-by-step explanation:

6 minutes is 1/10 of an hour.

60 minutes is 1 hour.

5,400 minutes is 90 hours.

3 hours is 180 minutes. You can solve this as a proportion:

[tex]\frac{180}{30} =\frac{x}{1}[/tex]

Cross multiply to get 30x = 180. x = 6.

Hope it helps!

If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)

(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please

Answers

Answer:

the answer is a I just took the test and its right

Step-by-step explanation:

The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?

Answers

Answer: 45

Step-by-step explanation:

3(-2m + 5) -6(-4m - 2) =

-6m + 15 + 24m + 12=

18m + 27

18= a 27= b 27 + 18= 45

The value of the expression a + b is 45.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can simplify the expression using the distributive property:

3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12

Combining like terms, we get:

18m + 27

So, a = 18 and b = 27, which means:

a + b = 18 + 27 = 45

Therefore,

The value of a + b is 45.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

An art class is making a mural for the school that has a triangle drawn
in the middle. The length of the bottom of the triangle is x. Another side
is 1 more than three times the length of the bottom of the triangle. The
last side is 2 more than the bottom of the triangle. Write and simplify an
expression for the perimeter of the triangle.

Answers

Answer:

Perimeter = 5x+3

Step-by-step explanation:

Perimeter = (3x+1)+(x+2)+x

Perimeter = 5x+3

(3-4 +5-3)-²

help me

Answers

Answer:

1

Step-by-step explanation:

Answer:

Your answer is literally 1

Step-by-step explanation:

(3−4+5−3)2

=1*1

=1

Hope this is what your looking for

If y varies inversely as x and y = 9 when x = 4, find y when x = 6.

Answers

Answer: x

=

6

Explanation:

the initial statement is

x

1

y

to convert to an equation multiply by k the constant

of variation

x

=

k

×

1

y

=

k

y

to find k use the given condition

x

=

4

when

y

=

9

x

=

k

y

k

=

x

y

=

4

×

9

=

36

equation is

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

2

2

x

=

36

y

2

2

−−−−−−−−−−−−

when

y

=

6

then

x

=

36

6

=

6

Step-by-step explanation:

2. 1. Asia's new boat has a cruising speed of 27 miles per hour. At that rate, how long will it take her to travel the 3 miles across Old Hickory Lake?​

Answers

Answer:Time = 1/9 Hours  0r  0.11111 hours

Step-by-step explanation:

We Know that Speed = Distance / Tim\e

Using the constant rate of the speed given as 27 miles per hour at

Distance = 3miles

Time = Distance  / Speed

Time = 3 miles / 27miles per hour = 1/9 hours

Shelly and Steve buy prepaid phone
cards so they can call home from
summer camp. Shelly buys 150 minutes
for $30. Steve buys 200 minutes for
$42. Who is the person getting the
better deal?

Answers

Answer:

Steve

Step-by-step explanation:

steve is buying 200 minutes which is more than 150 minutes

Hope i helped :) :) :)

if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?​

Answers

Answer:

60! hope this helps!

Step-by-step explanation:

help will give brainliest

Answers

Answer:

18 and 32

Step-by-step explanation:

Which event has a probability of 1/2? Select all that apply.

A.rolling a number greater than 6 on a six-sided number cube.
B.Picking a black marble out of a bag of black marbles
C.A flipped coin landing on tails
D.A flipped coin landing on heads or tails
E.Picking a blue marble from a bag of 6 red marbles and 6 blue marbles
F.Rolling an odd number on a six-sided number cube

Answers

C, E, and F have 50 50 chance

HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED

Answers

Answer:

1. is 4

2. is 3

3. is 10

4. is 13

Step-by-step explanation:

Hope this helpss!!

help pls ill mark as brainliest if correct

Answers

wouldn’t it be 14.8 above 8? like 14.8/8 i don’t know i’m just taking a wild guess

Step-by-step explanation:

5 miles =8 km

? miles=74 km

[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]

Pls help I don’t get it

Answers

Answer:

Try typing into a scientofic calculator I reccomed the site desmos

Step-by-step explanation:

Answer:

12a + 8b

Step-by-step explanation:

There isn't An outcome due to the fact that it needs more to be worked out, but that's the simplified form, I believe that's what they wanted to know.

Hope It Helps!

Please help! 58 points for both questions and explain how to get the answer!

Answers

Answer:

number 2 is c

number 1 is d?

Step-by-step explanation:

because if it a has been 1 minute(m=1) the 35(1)=w --> w=35 for for one minute there is 35  words 35m=w

for 1 i cannot see, but if d says 3/4 and x=3/4 then d is the answer

Answer:

(For your second question.):

35w=m

Step-by-step explanation:

Why?

It states in the problem itself that miles types 35 words per minute.

"w" stands for words

'm' stands for minutes.

The constant rate relies on the clearest data after all. The equation itself is enough!

Remember: 1 min = 60 seconds.

Solve each multi-step inequality
6 - 8n > - 8 - 6n

Answers

Answer:

n<7

Step-by-step explanation:

hope i did okay for you

Answer:

7>n

Step-by-step explanation:

6-8n>-8-6n

Add 8n on both sides

6>-8+2n

Add 8 on both sides

14>2n

Divide

7>n

On the morning of the sale, the store donated 50 pairs of shoes to a homeless shelter. Then they sold 64% of their remaining inventory during the sale. If the store had 288 pairs after the donation and the sale, how many pairs of shoes did they have at the start? how many shoes did they have at the start?

Answers

Answer:

850.

Step-by-step explanation:

Let the number at the start be x shoes. Then:

x - 50 - 0.64(x - 50) = 288

x - 0.64x - 50 + 32 = 288

0.36x = 288 + 50 - 32

0.36x = 306

x = 306/0.36 =  850.

Answer:

850 is the answer to the question

PLease answer this question

Answers

Answer:

b- 43%

Step-by-step explanation:

being technical its 42.857142857143% but assuming its round up it would be 43%

Answer:

c. 30%

Step-by-step explanation:

Number of the trees:

12 + 28 = 40

Number of infected is 12, so the percent of infected is:

12/40*100% = 30%

PLEASE ANSWER and show work
im literally giving 20 brainly points so PLEASE HELP ME

Answers

Answer:

I wrote out the answers on top of the sheet. Hope this helped!

Step-by-step explanation:

please help me i would really like the help

Answers

Answer:

HL

Step-by-step explanation:

Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.

Find m < E (Image Below)

Answers

Answer:

uiuiuiui86767

Step-by-step explanation:

your answer is e330408384

(HELP PLEASE - URGENT)

The elevation of a sea animalis -20 meters.
Choose all elevations that are greater than the elevation of the sea animal.
A. 5 meters
B. -16 meters
C-40 meters
D. O meters
E.-22 meters

Answers

Answer:

5,0 and -16

Step-by-step explanation:

Answer:

A, B, D

Step-by-step explanation:

-20<5

-20<-16

-20>-40

-20<0

-20>-22

What would you multiply by to increase a number by 4%?

Answers

Answer:0.04

Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.

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