Solve algebraically the simultaneous equations
y = 2x2 – 3x - 10
2x - y = -2

Answers

Answer 1

Answer:

(-3/2, -1) and (4, 10)

Step-by-step explanation:

Given the simultaneous equations

y = 2x^2 – 3x - 10 ... 1

2x - y = -2 .... 2

From equation2;

-y = -2-2x

y = 2x+2 ..... 3

Substitute 3 into 1

Recall y = 2x^2 – 3x - 10

2x+2 = 2x^2 – 3x - 10

Collect like terms

2x^2 – 3x - 10 - 2x -2 = 0

2x^2 – 5x - 12 = 0

2x^2 – 8x+3x - 12 = 0

2x(x-4)+3(x-4) = 0

(2x+3)(x-4) = 0

2x+3 = 0 and x-4 = 0

2x = -3 and x = 4

x = -3/2 and x = 4

Recall that

y = 2x+2

when x = -3/2

y = 2(-3/2) + 2

y = -3+2

y = -1

when x = 4

y  = 2(4)+2

y = 8+2

y = 10

Hence the solutions are (-3/2, -1) and (4, 10)


Related Questions

Graph the relation. Is the relation a function? Why or why not?
{(-5, 6), (-2, 3), (3, 2), (6, 4)}

Yes; there is only one domain value for each range value.

Yes; there is only one range value for each domain value.

No; a domain value has two range values.

No; a range value has two domain values.

Answers

Answer:

Yes; there is only one range value for each domain value.

Step-by-step explanation:

For a relation to be a function, every input, x-value, needs to have a unique output, y-value. This means that one x-value cannot have multiple y-values. So, in a function x-values will never repeat. Since x-values do not repeat in this relation, it is a function.

What is 46x15?? Thank you so much!

Answers

Answer:

i think its a uhhh i think its a carrot..

Step-by-step explanation:

what do u do when the question says what is an area of the rectangle Like
Division?
Multiply?
Subtract
Or add

Answers

Answer:

multiply

Step-by-step explanation:

Area is measured in square units such as square inches, square feet or square meters. To find the area of a rectangle, multiply the length by the width.

HELP FOR BAINLIST PLEAEEEE

Answers

Answer:

its 2.3

Step-by-step explanation:

2. Juan Pablo makes an hourly salary of $15 and time-and-a-half for any hours over 40. Last week he worked 45 hours. Explain how you would calculate his weekly gross pay, his Social Security Tax (6.2%), and his Medicare tax (145N). You don't need to actually calculate the values, just explain what mathematical processes you would use and why

Answers

Answer:

Gross = $712.5

Social security = $44.175

Medicare = $10.33125

Step-by-step explanation:

Given that :

Hourly pay = $15

Hours over 40 = 1.5 * $15 = $22.5

Total hours worked last week = 45

Total pay :

(40 * $15) + (45 - 5)*$22.5

$600 + $112.5

= $712.5

Hence, weekly gross pay = $712.5

Social security tax percent =(6.2%)

0.062 * gross = 0.062 * $712.5 = $44.175

Medicare tax percent = (1.45%)

0.0145 * $712.5 = $10.33125

Expand to write an equivalent expression: -1/4(-8x+12y)

Answers

2x-3y IS IR FINAL ANSWER GL

15. Which statements are true about


square EFGH? Select all that apply.


20.


P


E


н


A FP=2(EG)


© MZEFH = 45


DFH I EG


B) EP= EH

Answers

Answer:

[tex]EG \perp FH[/tex]

[tex]m\angle EFH = 45^\circ[/tex]

Step-by-step explanation:

Given

See attachment for square EFGH

Required

Select the true statements

The sides of the square are EF, FG, GH and HE while the diagonals are: EG and FH

The diagonals of a square meet at [tex]90^\circ[/tex] . This implies that: EG and FH are perpendicular i.e. [tex]EG \perp FH[/tex]

Also, the diagonals divide the angles at the edges ([tex]90^\circ[/tex]) into two equal angles ([tex]45^\circ[/tex])

This means that:

[tex]m\angle EFH = 45^\circ[/tex]

The other two options are false.

i.e.

[tex]EP \ne EH[/tex]

[tex]FP \ne 2(EG)[/tex]

Answer:

Step-by-step explanation:

3x+2.2is equal to x=1.7

Answers

Answer:

7.3 answer

Step-by-step explanation:

x=1.7

now

3x+2.2

3×1.7+2.2

7.3

Can anyone help? Thanks

Answers

Answer:

jmmbnmmnbhm

Step-by-step explanation:

5y7ik6rto8i7tipupuj

HURRY PLEASE!!!
Divya and Miguel were asked to find an explicit formula for the sequence 80\,,\,40\,,\,20\,,\,10,...80,40,20,10,...80, comma, 40, comma, 20, comma, 10, comma, point, point, point, where the first term should be h(1)h(1)h, left parenthesis, 1, right parenthesis. Divya said the formula is h(n)=80\cdot\left(\dfrac{1}{2}\right)^{{n-1}}h(n)=80⋅( 2 1 ​ ) n−1 h, left parenthesis, n, right parenthesis, equals, 80, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, minus, 1, end superscript, and Miguel said the formula is h(n)=160\cdot\left(\dfrac{1}{2}\right)^{{n}}h(n)=160⋅( 2 1 ​ ) n h, left parenthesis, n, right parenthesis, equals, 160, dot, left parenthesis, start fraction, 1, divided by, 2, end fraction, right parenthesis, start superscript, n, end superscript.

Answers

Answer: The answer is 80 * 1/2 ^ (n - 1) or 80 * 1/2(n-1)

Step-by-step explanation:

srry I don’t know which one I get confused

Answer:

The answer is 80 * 1/2 ^ (n - 1)

Step-by-step explanation:

Write an inequality relating NM and NL-
NM < NL
NM<_ NL
NM > NL
NM>_ NL

Answers

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

Answer:

NM > LN

Step-by-step explanation:

Here, we want to write an inequality

we should beat it in mind that, the greater the angle that a side of a triangle faces, the greater its length will be relatively

as we can see, the side NM faces the greater angle of 83, relative to the side LN that faces the angle of 56;

So we can conclude that;

NM > LN

A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was the percentage decrease in the number of registered members?

Answers

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

[tex] =\tt 2500 - 2245[/tex]

[tex] =\tt 255[/tex]

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

[tex] =\tt 255 = \frac{x}{100} \: of \: 2500[/tex]

[tex] = \tt255 = \frac{x \times 2500}{100} [/tex]

[tex] =\tt 255 = \frac{2500x}{100} [/tex]

[tex] = \tt255 \times 100 = 2500x[/tex]

[tex] = \tt25500 = 2500x[/tex]

[tex] =\tt \frac{25000}{2500} = x[/tex]

[tex]\color{plum} =\tt \bold{10.2\%}[/tex]

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

911÷406 con operaciones​

Answers

Answer:

2.24384236453

Step-by-step explanation:

division/división

Answer:

Step-by-step explanation:

2.24384236453 divicion y divicion

Whoever gives me the correct answer to this will get a brainlest
I need the answer ASAP!

Answers

Volume of cone= 1/3πr^2h

8842.24 m^3= 1/3πr^2h

1/3*3.14*33*r^2= 8842.24m^3

r^2 = 8842.24*3/3.14*33

r^2= 26526.72/103.62

r^2 = 256

r= √256

r= 16m

Hope it helps. Please mark brainliest.

Nine identical cakes weigh a total of 20¼ pounds. How much does each cake weigh? Simplify.

Answers

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

20 1/4 = 20.25

20.25/9 = 2.25

2.25 = [tex]2\frac{1}{4}[/tex]

Each cake weighs 2.25 pounds.

The weight of each cake will be equal to 2(¹/₄).

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

A mixed expression, also known as a complex fraction, is a fraction that contains a fraction in the numerator, the denominator, or both the numerator and the denominator.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Nine identical cakes weigh a total of 20¼ pounds.

20(¹/₄) = 20.25

20.25/9 = 2.25

2.25 = 2(¹/₄).

To know more about an expression follow

https://brainly.com/question/29282536

#SPJ2

What is the domain of the function represented by the graph?
4
1
2-+
X
-2
TUL
NELL
A. X54
OB. all real numbers
C.
X20
OD
OsXs4

Answers

Answer:

Option C x>0

GOOD LUCK FOR THE FUTURE ! :)

All real numbers (In interval form (-∞,∞) )

What is domain?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). This set is the values that the function shoots out after we plug an x value in.

here, we have,

Given,

From the graph,

To find the domain of the function.

Now,

We know that a domain of a function is the set of the all the x-values for which the function is defined.

By looking at the graph of the function we see that it is a graph of a upward open parabola and the graph is extending to infinity on both the side of the x-axis this means that the function is defined all over the x-axis i.e. for all the real values.

Also, we know that the function will be a quadratic polynomial since the equation of a parabola is a quadratic equation and as we know polynomial is well defined for all the real value of x.

The domain of the function is:

Hence,  All real numbers (In interval form (-∞,∞) )

Learn more about Domain at:

brainly.com/question/28135761

#SPJ7

Combine like terms.
y+3+2(y + 3) =
Please i need this for now

Answers

Answer:

3y+9

Step-by-step explanation:

Igor and sally both tan the same distance. Igor completed The distance in two hours. His average speed was 6 mph. Sally completed the distance in four hours. What with Sally is average speed for the journey? Give your answer in miles per hour

Answers

Answer: 3mph

Step-by-step explanation:

Speed is calculated as Distance/Time.

Igor's distance = Speed × Time

= 6 × 2

= 12m

Since they ran same distance, Sally also ran 12m

Sally's speed = Distance/Time

where,

Distance = 12m

Time = 4 hours

Average speed = 12/4 = 3mph

PLEASE HELP!! view attachment!!

Answers

3 I think good luck

PLEASE I NEED HELP!

which is the simplified rational expression for r^2-4r+5/r-4 - r^2+2r-8/r-4

C is incorrect!

Answers

fourth one i think (the way u typed the q is confusing)

Answer:Complete the statements.

When r = 2, the first expression is . 6

When r = 2, the second expression is 6.

When r = 5, the first expression is 21.

When r = 5, the second expression is .

The expressions are not equivalent. 12

Step-by-step explanation:

i got it right on e d g e n u i t y

Step-by-step explanation:

1. Sonnie is selling her artworks in the form of stickers and bags tags for
summer vacation.
The stickers (y) cost P50 each and the bag tag (x) cost P75. She needs to sell at least P1000
worth of items.
a. Write an inequality to represent the income from the artworks sold.
b. Sonnie knows that she needs to make at least 15 stickers. Write an equality to represent this
situation,
c. Identify a solution. How many stickers and bags should Sonnie sell?
PA HELP plssssssss ​

Answers

Answer:

50y + 75x ≥ 1000 ;

50(15) ≥ 750;

x ≥ 4

y ≥ 15

Step-by-step explanation:

Given that :

Number of stickers sold = y

Cost of sticker = 50

Cost of bag tag = 75

Number of bag tags sold = x

Total worth of items sold ≥ 1000

1)

50y + 75x ≥ 1000

2.)

To make atleast 15 stickers

y ≥ 15

Atleast 15 stickers :

50(15) ≥ 750

3.)

A possible solution :

50(15) + 75(x) ≥ 1000

750 + 75x ≥ 1000

75x ≥ 250

x ≥ 3.33

x ≥ 4

y ≥ 15

The rectangle below has an area of 49-x^249−x 2 49, minus, x, squared square meters and a width of 7+x7+x7, plus, x meters. What expression represents the length of the rectangle?

Answers

Answer:

7-x meters

Step-by-step explanation:

Answer: (7-x)

Step-by-step explanation: khan

If f(x) = x^2 + 3x – 2. find f(-2) .
f(-2) = -4
f(-2) = 4
f(-2) = -2
f(-2) = 2​

Answers

Answer:

f(-2) = - 4

Step-by-step explanation:

f(x) = x² + 3x - 2

f(-2) = ( -2)² + 3 *(-2) - 2

= 4 - 6 - 2

= 4- 8

= - 4

Hope it will help :)

Can someone help me. The picture is attached. Thank you :) I will give brainliest

Answers

Answer: 5 Explanation:

Answer:

5

Step-by-step explanation:

[tex]\sqrt[3]{125}[/tex] = [tex]\sqrt[3]{5^3}[/tex] = 5

When adding two mixed numbers, you should add the ignore the fractions and add the mixed numbers first.
True
False

Answers

Answer:

FALSE

.....

I think?

Write 7.812 correct to 2 decimal places

Answers

7.812 to 2 do = 7.81

Answer:

7.81.

Step-by-step explanation:

The 3rd decimal place is 2 (its  < 5) so we leave the 2nd place as it is.

Jorge's soccer team is having its annu fundraiser. The team hopes to earn no less than three times as much as it did last year. This year the team earned $87. Write and solve an inequality to represent the team's earnings from last year. ​

Answers

Step-by-step explanation:

Last year, Jorge's team earned $87. This year it wants to earn three times that amount. Therefore:

Goal for this year = 3 x (Last year's earning) = 3 x $87 = $261.

I’ll give the first person to respond brainly :)

How is an exponential growth function of the form f(x)=a(1+r)x related to an exponential function of the from f(x)=a•bx?

Answers

I believe it’s because b=(1+r)

Which relation is a function?

{(5, 0), (–8, –5), (–8, 5), (–5, –8)}

{(5, 0), (0, 5), (–5, –5)}

{(5, 0), (0, –8), (5, –5)}

{5, 0, –8, –5}

Answers

The third one is a function
The person on top is correct the third one is a function have a nice day:)

SUPER EASY
just. determine if function or not

Answers

Ok so basically if an input (x) has more than one output (y) it is NOT a function. One output having more than one input is okay though.

So G) is a function, bc for every x there is just 1 y

H) is not a function

I) is not a function either

Then the 6 below ( i can't read their numbers so they're just gonna be 1-6, top 3 from left to right then the bottom three from left to right)

1. function

2. not a function

3. function

4. function

5. not a function

6. not a function

i might be wrong, but i hope this helps!

Answer:

G-Function, H-Not a function, I-Not a Function

Step-by-step explanation:

G is the only one that doesn't repeat its x values

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Bakery sign gives three options to buy cupcakes which is the best deal the options 12 cupcakes for $29 or 24 cupcakes for $56 or 50 cupcakes for $129 PLEASEEE HELP PICTURE ABOVE Brittany needs $5,000 for a down payment on a car. She makes a monthlydeposit of $125 into her savings account. Approximately how manyyears will it take Brittany to reach her goal? The large square pictured below represents one whole. What decimal represents the shaded part in the model? Explain the theory of plate tectonics and how they have changed Earths surface over time. Include the role of plate tectonics in the creation of landforms. The value of a boat is $22,000. It loses 20% of its value every year. Find the approximate monthly percent decrease in value. Round your answer to the nearest hundredth of a percent. PLZ HELP! I"LL GIVE BRAINLIEST!!!! Read this excerpt from The People Could Fly. Nehemiah was a one who believed that if he must be a slave, he'd best be a smart one. No one who callin himself Master of Nehemiah had ever been able to make him work hard for nothin. Nehemiah would always have a funny lie to tell or he made some laughin remark whenever the so-called Master had a question or a scoldin. Which best describes how Nehemiah survived being enslaved? Can someone help me with the hook the prompt is Write an essay explaining whether a positive attitude helps a person be successful.Hook (BOLD STATEMENT): Find the missing measures. Please help you dont need to show work in a class of 24 students, 13 students sold over 150 rattle tickets each, and the rest of the class sold about 60 rattle tickets each. the class goal was to sell 2,000 tickets. did they reach their goal? explain. Can you answer both those questions? Please another one OMG lol sorry Jordan spent 5 hours over the weekend studying for 3 tests. He spent an equal amount of time studying for each test. Help me with my math **50 pts*** I mark brainliest** Which graph represents the solution to the system of equations?Y=2x+5. Y=1/3x-2 Please help me y=x4y=x43x+y=83x+y=8 Based on passage, why do schools accept free educational materials?1. To accept the newest technology (computer, tablets, wtc2. To make their students watch ads during the school day3. To pay their teachers more money and buy books Why did Jefferson believe the country was ready for a new revolution? 8xn What is:13. 10% of 20 =14. 10% of 40 =15. 10% of 35 =16. 10% of 42 = 17. 10% of 22 =18. 10% of 18 =