1. Solve the following system of equations. (Hint: Use the quadratic formula.)
f(x) = 2x^2-3x-10
g(x) = -3x^2+20

Answers

Answer 1

Answer:

[tex]f(x)=\frac{3+\sqrt{89} }{4} or \frac{3-\sqrt{89} }{4}\\g(x) = \frac{2\sqrt{15} }{3} or -\frac{2\sqrt{15} }{3}[/tex]

Step-by-step explanation:

f(x):

a=2 b=-3 c=-10

g(x):

a=-3 b=0 c=20


Related Questions

Find the distance between points P(2, 6) and Q(8, 4) to the nearest tenth.

Answers

Answer:

6.3

Step-by-step explanation:

√((8-2)^2 + (4-6)^2)

√ (36 + 4)

√40

6.3

Helllpppp i’ll give brainliest

Answers

Answer:

The two triangles are related by A - S - A test of similarity , so the triangles are congruent.

Suppose that 0 is an angle in standard position whose terminal side effects intersects the unit circle at (-15/17, 8/17)Find The exalta valeis Tan sec and cos

Answers

Step-by-step explanation:

cosθ = 15/17 and sinθ = -8/17

So, tanθ = sinθ / cosθ = -8/15 and cscθ = 1 / sinθ = -17/8

Find the inflation rate from 1992 to 1993 . Assume that all prices have risen at the same rate as the CPI.
The inflation rate was about
nothing​%.

Answers

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420

69,420|

69,420

Drag each expression to the correct location on the table.
e each algebraic expressions next to its corresponding verbal description.

Answers

Answer:

5 times the cube of x divided by 4 times x answer is the first one from the left 5x³-4/x. the quotient of the difference of 5 times x cubed and 4 and x the answers is 5x³-4x/ the third one from the right. the cube of the difference of 5 times x and 4 the answer is the middle one

what is the value of the expression below?

5/9 / 1 2/3 x 3 3/5

A: -1 1/5

B: 1 1/5

C:-1/3

D: -3 1/3
No links

Answers

Answer:

B) 6/5 or 1 1/5

Step-by-step explanation:

5/9 ÷ 5/3 × 18/5 = 5/9 × 3/5 × 18/5 = 6/5

URGENT PLEASE HELP The perimeter of AJKL is 106. Find the length of
midsegment ST.
J
5x +7
S
3x +3
4x-1
(not drawn to scale)
K
A
17
B
15
16
D
18

Answers

Answer:

16

Step-by-step explanation:

3x+3+3x+3+5x+7+4x-1+4x-1=106

19x+11=106

19x=95

x=5

JL=5(5)+7=32

ST=1/2 of JL = 1/2 of 32 = 16

The length of midsegment ST will be 6. The perimeter of the triangle is given.

What is perimeter?

It's the sum of length of the sides used to make the given figure.

The perimeter of AJKL is 106;

⇒KS+SJ+JL+LT+TK=106

⇒3x+3+3x+3+5x+7+4x-1+4x-1=106

⇒19x+11=106

⇒19x=95

⇒x=5

The side JL is obtained by,x=5

JL=5x+7

JL=5×(5)+7

JL=32

The side ST is obtained

ST=(1/2)×JL

ST= 1/2 of 32

ST = 16

Hence, the length of midsegment ST will be 16.

Learn more about perimeter refer:

https://brainly.com/question/10466285

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This Is A Grade! Please Help Answer Any Of These. (PLEASE)

Answers

Answer:

1. 85 in squared

Work: b=17 h=10

17*1/2=8.5

8.5*10=85

2. 142.5 mm squared

Work:b=15 h=19

15*1/2=7.5

7.5*19=142.5

3. 110.5 mm squared

Work:b=17 h=13

17*1/2=8.5

8.5*13=110.5

4. 9km squared

Work:b=2 h=9

2*1/2=1

1*9=9

5. 924 mm squared

Work:b=77 h=24

77*1/2=33.5

33.5*24=924

6. 104.5 m squared

Work: b=19 h=11

19*1/2=9.5

9.5*11=104.5

Step-by-step explanation:

Answer:

1. 10x17=170

170/2=85in

2. 19x15=285

285/2=142.5mm

3. 13x17=221

221/2=110.5mm

4. 9x2=18

18/2= 9km

5. 24x77=1,848

1,848/2=924mm

6. 11x19=209

209/2=104.5m

add me https://dis cord.gg/WSpQqVM7ex

Answers

Step-by-step explanation:

hmmmmmmmmm

Bots are not welcome here!

A function where the independent variable is an exponent. f(x) = ab^x, where a and b are real numbers with a # 0, b>0, and b # 1

A: exponential growth
B: exponential decay
C: exponential function​

Answers

Answer:

C

Step-by-step explanation:

C, the answer is exponential function

Two methods are proposed to measure the effectiveness of a brand of sunscreen.

Method A: Survey adults visiting a beach on a busy weekend. Ask each adult which brand of sunscreen they are using, and assess their arms for sun exposure.

Method B: Volunteers are randomly assigned to one of two brands of sunscreen. Each volunteer is asked to report back at the end of the day, and their arms are assessed for sun exposure.

Which statement is a correct interpretation of these methods?

Both methods are experiments because sun exposure is assessed in both methods.
Both methods are observational studies because neither method attempts to influence responses.
Method A is an experiment because it compares many brands of sunscreen, while method B is an observational study.
Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Answers

Answer: Method B is an experiment because it randomly assigns volunteers a sunscreen, while method A is an observational study.

Step-by-step explanation:

Based on the information given, we can infer that method A is an observational study. An observational study simply refers to the study whereby the researchers just observe the impact of a rise factor without them trying to change the people or things exposed to it. This can be seen as the survey adults visited the beach on the busy weekend asking each adult the brand of sunscreen that they use and then assess their arms for sun exposure.

Method B is an experiment. An experiment refers to a test that's carried out in order to evaluate a particular hypothesis or theory. Method B is an experiment because it randomly assigns volunteers a sunscreen.

Therefore, the correct option is D.

plssss help can i have a discord and call me plssss ​

Answers

Answer:

1/24

Step-by-step explanation:

SHAWTYYY THIRSTY

Answer:

21/24-20/24=1/24

Step-by-step explanation:

Make the denominators same by multiplying the fraction with a number that will make the denominators equal i.e 3 for first fraction and 4 for the second fraction.

Emily surveyed 364 people with 3 out of 7 answered yes

Answers

whats is the question?

Given f(x)=x^2−5x and g(x)=2x+1, find (f+g)(−3).

Answers

Answer:

19  

Use the given functions to set up and simplify

If the volume of a sphere is 660 mm, what is the radius of the sphere, to the nearest tenth of a millimeter?

Answers

Answer:

Radius= 5.4

Step-by-step explanation:

Formula for Sphere- V= 4/3(pi)• r^3

r=(3 V/4 pi) = (3•660/4•pi)= 5.40114 (5.4)

Helpppp!!!! ASAP!! Please???!

Answers

Answer:

c 111 mark me

Step-by-step explanation:

and ur welcome lol

Answer:

105

Step-by-step explanation:

if it true i add 65 +40 =105 so yeah

levi was designing a kite. he needs to determine the measure of

Answers

he needs to determine the measure of the kite?

The measure of angle A is 86.

What is a kite?

A kite is a flying object that is tethered to the ground by a string or a cord. It typically has a light framework of bamboo, plastic, or other materials, covered with paper or fabric, and often in the shape of a diamond or triangle.

We have,

From the figure,

We see that,

6x + 4 + ∠A = 180

Now,

∠A = 4x + 26

So,

6x + 4 + 4x + 26 = 180

10x + 30 = 180

10x = 180 - 30

10x = 150

x = 15

Now,

∠A = 4x + 26 = 4 x 15 + 26 = 60 + 26 = 86

Thus,

The measure of angle A is 86.

Learn more about kite here:

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The complete question:

Levi was designing a kite. he needs to determine the measure of angle A.

The U Gym provides weight resistance through adjustments of incline. The minimum weight resistance is 8​% of the weight of the person using the U Gym. Find the minimum weight resistance possible for a 240-pound man.

The minimum weight resistance possible for a 240​-pound man is
pounds.
​(Type a whole number or a​ decimal.)

Answers

Answer:

The minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Step-by-step explanation:

Since the U Gym provides weight resistance through adjustments of incline, and the minimum weight resistance is 8% of the weight of the person using the U Gym, to find the minimum weight resistance possible for a 240-pound man the following calculation:

240 x 8/100 = X

1,920 / 100 = X

19.2 = X

Thus, the minimum weight resistance possible for a 240-pound man is 19.2 pounds.

Aaron is designing a party game in which he needs exactly 24 possible outcomes. Which sets of actions can he use to have a statistically fair
game?

Answers

Answer:

Counting from the top:

fist option

fourth option

fifth option.

Step-by-step explanation:

Any set that has a multiplicative outcome, such that the total number of outcomes is 24.

Remember that if we have a combination of two events, one with N outcomes and the other with M outcomes, the total number of outcomes is:

M*N

This is the main thing we need to see.

Let's analyze each option:

1) flip a coin (2 outcomes)

  flip a coin again (2 outcomes)

  roll a 6 sided dice ( 6 outcomes)

total number of outcomes:

2*2*6 = 24

2) Selecting a number from 1 to 16 (16 outcomes) and rolling a dice of 8 sides (8 outcomes).

The total number of outcomes is:

8*16 = 128

We wanted only 24.

3) Selecting a number from the set {1, 3, 5, 7, 9} (5 outcomes)

   flip a coin (2 outcomes)

   flip the coin again (2 outcomes)

total number of outcomes:

2*2*5 = 20

We wanted 24, we can discard this.

4) Spin the thing (3 outcomes)

   roll an 8-sided dice (8 outcomes)

Total number of outcomes:

8*3 = 24

This is a correct option.

5) Select a card from A to D (4 outcomes)

Roll the thing (6 outcomes)

total number of outcomes:

6*4 = 24

This is a correct option.

6) Select a card from A to N {14 options}

   Roll the thing once (10 outcomes)

Total number of outcomes:

14*10 = 140

We wanted 24, so we can discard this option.

Then the correct options are:

first one, fourth one, and fifth one.

please help me , i’m so stuck on this problem

Answers

Answer:

x = 1

y = 9

Step-by-step explanation:

The diagonals of the parallelogram bisect each other. Therefore:

✔️2x + 13 = 15

2x + 13 - 13 = 15 - 13

2x = 2

2x/2 = 2/2

x = 1

✔️5y - 36 = y

5y - 36 - 5y = y - 5y

-36 = -4y

-36/-4 = -4y/-4

9 = y

y = 9

The median of these numbers is
how much less than the mean?
1.5, 0.6, 0.7, 0.85, 5.3

Answers

Answer:

The median of the numbers is 3.66 less than the mean

Step-by-step explanation:

To find the median, find the middle of the numbers

0.6, 0.7, 0.85, 1.5, 5.4

To find the mean, add all the numbers and divide by the number of numbers

0.6 + 0.7 + 0.85 + 15 + 5.4 = 22.55

22.55/5 = 4.51

To find how less, subtract the median from the mean

4.51 - 0.85 = 3.66

Suppose that P dollars in principal is invested in an account earning 2.1% interest compounded continuously. At the end of 2 yr, the amount in the account has earned $193.03 in interest.
A) Find the original principal.
B) Using the the original principal from part (a) and the model A = Pe", determine the time required for the investment to reach $6000.

Answers

Answer:

See explanation

Step-by-step explanation:

Recall that

Amount = Principal + Interest

The formula is;

A = P(1 + r)^n

Where;

P= principal, n = time and r = rate

Hence;

P + I =  P(1 + r)^n

P + 193.03 = P(1.021)^2

P + 193.03 = 1.04P

P - 1.04P = -  193.03

-0.04 P =  -  193.03

P = 193.03/0.04

P = $ 4825.75

B) When A = $6000, n=?

From;

A=   P(1 + r)^n

6000 = 4825.75 (1.021)^n

6000/4825.75 = (1.021)^n

1.24 =  (1.021)^n

Taking logarithm of both sides;

log 1.24 = n log 1.021

n = log 1.24/log 1.021

n = 0.0934/0.009

n = 10 years

7. Find the measure of x.

Answers

Answer:

37

Step-by-step explanation:

Here the 2 angles are the same. So

74 = 2x

74/2 = x

x = 37

Answer ;

2x + 74 = 180 2x = 180 - 74 = 106 x = 160/2

( refer the attachment for the division )

hence , x = 53

hope my answer helps you !!

Which sentence represents the perimeter
of a square?
A. length x width =P
B. (length x width) x 2 =P
C. length + length + width + width =P
D. (length + length) x (width + width) = P

Answers

Answer:

c

Step-by-step explanation:

Let O be a quadrant I angle with cos(0) ✓11/7 Find sin(20).​

Answers

Answer:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

Step-by-step explanation:

We are given that:

[tex]\displaystyle \cos(\theta)=\frac{\sqrt{11}}{7}[/tex]

Where θ is in QI.

And we want to determine sin(2θ).

First, note that since θ is in QI, all trig ratios will be positive.

Next, recall that cosine is the ratio of the adjacent side to the hypotenuse. Therefore, the adjacent side a = √(11) and the hypotenuse c = 7.

Then by the Pythagorean Theorem, the opposite side to θ is:

[tex]b=\sqrt{(7)^2-(\sqrt{11})^2}=\sqrt{49-11}=\sqrt{38}[/tex]

So, with respect to θ, the adjacent side is √(11), the opposite side is √(38), and the hypotenuse is 7.

We can rewrite as expression as:

[tex]\sin(2\theta)=2\sin(\theta)\cos(\theta)[/tex]

Using the above information, substitute. Remember that all ratios will be positive:

[tex]\displaystyle =2\Big(\frac{\sqrt{38}}{7}\Big)\Big(\frac{\sqrt{11}}{7}\Big)[/tex]

Simplify. Therefore:

[tex]\displaystyle \sin(2\theta)=\frac{2\sqrt{418}}{49}\approx0.8345[/tex]

The short side of a parallelogram is 6in long.
the long side is 19 in. What is the perimeter
of the parallelogram?

Answers

Answer:

20

Step-by-step explanation:

If AB is 150 then P equals?

Answers

Answer:

Wouldn't P be something less or equal to an acute angle? Try 75°.

Answer:

its 300∘ I got it right

What are the ordered pairs of the
solutions for this system of equations?
f(x) = x2 – 2x + 3; f(x) = -2x + 12

Answers

Answer:

Step-by-step explanation:

(1 point)
10. A piece of art is in the shape of an equilateral triangle with sides of 21 in. What is the area of
the piece of art to the nearest tenth?
311.8 in.2
381.9 in?
155.9 in.2
191.0 in.2

Answers

Answer:

191.0

Step-by-step explanation:

A passenger train leaves a railway station at 12:00 pm and travels 3 hours on the Northbound track. A second passenger train leaves the same railway station at 12:45 pm and travels 2 hour and 15 minutes on the Southbound tracks at a speed of 20 kilometers per hour faster than the first train. At 3:00 pm the two trains were 360 kilometers apart. How fast was each train traveling?

Answers

Answer:

63 kilometers per hour for train A and 83 kilometers for train B

Step-by-step explanation:

Same beginning

Train A: 3 hours to NorthTrain B: 2 hours and 15 minutes to South

but train B 20 kilometers per hour faster

15 minutes from 20 kilometers per hours are 5 kilometers

So, train B is 45 kilometers travel more far than train B.

= 360 kilometers - 45 kilometers

= 315 kilometers ÷ 5 hours

= 63 kilometers per hours

Hope it's right><

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