2. Solve the following system of equations.
f(x) = 2x^2 – 5x– 7
g(x) = -4x^2+16
O (-1.2,17.88) and (-1.5, 17)
O (2.42,-7.4) and (-1.58, 5.9)
(-1.5, 17) and (3.7, 1788)
O (2.4,- 44) and (3.7, 17.88)

Answers

Answer 1

Answer:

Cited by 3 — —1.4 p F, ~ +~~• 3*,7 38 4.0 7 h m 0 16 44.20 17 25.10 —0.7 3326~7 ... O—1.2 —1.4 F ~ ,F~ ~ 7.8 38 26.6 m ~ .8 ~5 2~5 44;65 26 2.95 h -4

Step-by-step explanation:i know

Answer 2

Answer:

(2.42,-7.4) and (-1.58, 5.9)

Explanation:

f(x) = 2x² – 5x– 7g(x) = -4x² + 16

Solve algebraically:

⇒ f(x) = g(x)

⇒ 2x² – 5x– 7 = -4x² + 16

⇒ 2x² - 5x - 7 + 4x² - 16 = 0

⇒ 6x² -5x -23 = 0

Now use the quadratic function:  [tex]\boxed{ \sf x = \dfrac{-b\pm\sqrt{b^2 - 4ac} }{2a}}[/tex]

Identify : a = 6, b = -5, c = -23

Solving Step Wise:

[tex]\rightarrow \sf x = \dfrac{-(-5)\pm\sqrt{(-5)^2 - 4(6)(-2)} }{2(6)} \ = \ \dfrac{5\pm\sqrt{577} }{12} \ = \ 2.42, -1.58[/tex]

Solve for y : 2(2.42)² - 5(2.42) -7  and  2(-1.58)² - 5(-1.58) - 7  = -7.4, 5.9

Coordinates: (2.42,-7.4) and (-1.58, 5.9)


Related Questions

there were v crayons In a box.1/6 of the crayons were new.angie added another 24 new crayons to the box and there are 30 new crayons altogether.how many crayons were there in the box at first​

Answers

Answer: 36

Step-by-step explanation:

If there are 30 new crayons, all you have to do is subtract the 24 new crayons Angie added, thus being six new crayons. Multiply this by 6 to get 36.

What is the answer to the problem 20.754 - 14.526

Answers

Answer:

6.228

Step-by-step explanation:

Examine the following PSA How is the creator of this PSA sharing a viewpoint about the importance of reading? by providing a strategy for encouraging kids to read more often by showing what will happen if people do not read frequently by highlighting one of the benefits that comes from reading by featuring a specific fact about the importance of reading

Answers

The statement third “by highlighting one of the benefits that comes from reading” is correct.

What is reading?

Reading is a thinking process that entails interpreting words in deriving information.

We have statements about the importance of reading:

by providing a strategy for encouraging kids to read more often.by showing what will happen if people do not read frequently.by highlighting one of the benefits that comes from reading.by featuring a specific fact about the importance of reading.

According to the PSA, the correct statement about the importance of reading is by highlighting one of the benefits that comes from reading.

Thus, the statement third “by highlighting one of the benefits that comes from reading” is correct.

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Answer:

C

Step-by-step explanation:

convert 221 quinary number into decimal number.​

Answers

Step-by-step explanation:

______________________

( First of all to convert quinary to decimal we need to multiply them by 5 )

So let's solve now.....

= 221

Solution,

Converting quinary number to decimal .....

= 2 × 5² + 2 × 5¹ + 1 × 5⁰

The value of any number to the power 0 is 1 ...

= 2 × 25 + 2 × 5 + 1 × 1

= 50 + 10 + 1

= 61..

______________________

Hence the answer is 61....

______________________

please help meh I give brainliest ​

Answers

B. because it dont form a shape

Which number has 3 significant
figures?
A. 15.233
B. 153.2
C. 5.24399
D. 57.2

Answers

Answer:

b because it is

Step-by-step explanation:

153.2 is a cool number

Select the correct answer.
Consider the piecewise function shown on the graph.
Over which interval of the domain does the graph represent an exponential function?

A. x ≥ 6

B. -3 ≤ x ≤6

C. x ≥ 1

D. -4 < x ≤ 1

Answers

Answer:

The answer is D I hope this helps

The required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

Given that,
A graph of a function is shown that has 3 distinct functions for its domain, we have to determine which of these 3 functions shows an exponential function.

what is an exponential function?

The function which is in format f(x) =   where, a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).  

Since, as we can see throughout the graph the graph constantly decreases to -4 and then shows a parabolic function from -4 to 0.9 afterward it starts increasing exponentially.

Thus, the required domain for the function given on the graph represents the exponential function is x ≥ 1. Option C is correct.

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A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°. How much work is done if the traveler moves 120 meters? Round to the nearest whole number.

2,314 Nm
2,758 Nm
3,085 Nm
4,156 Nm

&

A cart weighing 180 pounds rests on an incline at an angle of 35°. What is the required force to keep the cart at rest? Round to the thousandths place.

77.073 pounds
103.244 pounds
147.447 pounds
162.665 pounds

Answers

Answer:

2758 Nm

Step-by-step explanation

Work done usually depends on two things force applied and distance travelled due to applied force. In this current scenario, the force is being applied at an angle so we will have to find a component of force in the direction of the movement.

We usually find component using cos θ.

Here θ is 40°

Now, the modified equation becomes,

Work Done = Force * Distance * Component of force along the direction of distance

∴ Work = 30 N * 120 m * Cos 40°

⇒Work = 30 * 120 * 0.766

Work = 2757.6 Nm

Rounding to the nearest whole number.

∴ The work done by force is 2758 Nm which is option B

The amount of work done will be 2758 Nm. Then the correct option is B. And the required force to keep the cart at rest will be 147.447 pounds. Then the correct option is C.

What is work done?

The product of the force and displacement.

WD = F × d × cos θ

A traveler pulls a suitcase, as shown in the figure.

The force acting on the handle is 30 N at an angle of θ = 40°.

Then the amount of work done if the traveler moves 120 meters will be

WD = 30 × 120 × cos 40°

WD = 30 × 120 × 0.766

WD = 2758 Nm

Then the correct option is B.

A cart weighing 180 pounds rests on an incline at an angle of 35°.

The required force to keep the cart at rest will be

Fₓ = F × cos θ

Fₓ = 180 × cos 35°

Fₓ = 147.447 pounds

Then the correct option is C.

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Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes. How long would it take Goblin Girt to count the coins in the bag alone.

Answers

The Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

What is a fraction?

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

Let's suppose the Goblin Girt take x minutes to count the coins in the bag alone.

Then we can frame an equation to find the value of x:

[tex]\rm \dfrac{1}{x}+\dfrac{1}{10}=\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=- \dfrac{1}{10}+\dfrac{1}{6}[/tex]

[tex]\rm \dfrac{1}{x}=\dfrac{1}{15}[/tex]

x = 15 minutes (reciprocal on both sides)

Thus, the Goblin Girt take 15 minutes to count the coins in the bag alone if Goblin Gryh can count the coins in a bag in 10 minutes. If goblin Girt counts with him, they can count all the coins in 6 minutes.

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Najib cuts out a rectangle that has a perimeter of 50 inches and a length of 17 inches.He cuts out another rectangle that is the same length and twice as wide. What is the perimeter of the new rectangle.

Answers

Answer:

66 inches

Step-by-step explanation:

perimeter = 2(l+b)

here, perimeter is 50 and length is 17

let the width be x,

=>    50 = 2(17+x)

=>    50 = (2*17)+(2*x)

=>    50 = 34 + 2x

=>    50 - 34 = 2x                      [transposing method]

=>    16 = 2x

=>    16/2 = x

=>     8 = x

8 inches = width of the first triangle

we know, the other rectangle's length is 17

and it is said that the width is twice the width of the first triangle

so the length = 17, width = 2*8 = 16

for the perimeter

p = 2(l+b),

=>       p =  2(17+16)

=>       p =  (2*17)+(2*16)

=>       p =   34+32

=>       p  =   66

          so the perimeter of the other rectangle is 66

Answer:

66

Step-by-step explanation:

that answer was incorrect. change your answer and try again!

Kristy incorrectly says
that the volume of the sphere below is
144T cubic units. What mistake might Kristy
have made?

Answers

The mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

How to find the Area of a Sphere?

We are given the volume of the sphere as 144π cubic units.

From the attached file, we see that the radius of the sphere is 6.

Formula for Volume of a Sphere is;

V = ⁴/₃πr³

Thus;

V = ⁴/₃π * 6³

V = 288π cubic units

Thus, the mistake that Kristy made in calculating the volume is that she treated it as a hemisphere instead of a Sphere.

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please help me I have been working on this for 20 minutes

Answers

Answer:

First Figure:

Do you see the right triangle in the first figure? It is bisected by the angle x° and 68°. Since all right triangles add to 90°, this makes x° = 90° - 68°.

E.) x° = 90° - 68°  -----> x° = 22°

Do you see how you now know the values of 3 out of 4 angles on the straight line? Since all lines add to 180°, the value of y° = 180° - 90° - 22°. Remember, the entire angle value for all right triangles is 90°.

H.) y° = 180° - 90° - 22°  ----->  y° = 68°

Second Figure:

A similar process can be taken for the second figure.

T.) x° = 180° - 90° - 74°  ----->  x° = 16°

E.) y = 90° - 50°  ----->  y° = 40°

Third Figure:

Again, remember that right triangles = 90° and lines = 180°.

C.) w° = 180° - 90° - 31°  ----->  w° = 59°

R.) x° = 90° - 28°  -----> x° = 62°

H.) y° = 180° - w°  ----->  y° = 180° - 59°  ----->  y° = 121°

1/3 Person who anwsner get brainlist

Answers

Answer:

1/3 is the same as 0.33...(The decimal continues on from here.)

a drawing of a room has a scale of 1 inch = 4 feet. if the actual dimensions of the room are 14 feet by 16 feet. what are the dimesnsions of the room o on the drawing

Answers

Answer:

3.5 inches by 4 inches

Step-by-step explanation:

Which statements are true regarding the scenario? check all that apply. the probability you select a red marble is three-tenths. the probability you select a purple marble is three-tenths. p(red) p(yellow) p(purple) = 1 the probability you select a green marble is 0. the probability you select a yellow marble is 3.

Answers

The correct options are:

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

What are the correct options?

Probability calculates the chance that an event would happen. If it is certain that the event would not happen, it would have a value of 0. If it is certain that the event would happen, it would have a value of 1.

Probability of picking a red marble = total number of red marbles / total number of marbles

= 4/10

Probability of picking a purple marble =  total number of purple marbles / total number of marbles

3/10

P(Red) + P(Yellow) + P(Purple) = 4/10 + 3/10 + 3/10 = 1

Here is the complete question:

A bag contains four red marbles, three yellow marbles, and three purple marbles. You will randomly select one marble from the bag.

Which statements are true regarding the scenario? Check all that apply.

The probability you select a red marble is 3/10

The probability you select a purple marble is 3/10

P(Red) + P(Yellow) + P(Purple) = 1

The probability you select a green marble is 0.

The probability you select a yellow marble is 3.

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Answer:

b,c,d on edge

Step-by-step explanation:

trust

Find the distance between points p(6, 2) and q(-3, 8) to the nearest tenth.

Answers

Answer:The distance is 10.8

Step-by-step explanation:

i have number 9 , i just need number 10
if the circle is centered at point O, what is the measure of MON ?

Answers

The answer is 40. Hope that helps.

Aeronautical researchers have developed three different processes to pack a parachute. They want to compare the different processes in terms of time to deploy and reliability. There are 1,200 objects that they can drop with a parachute from a plane. Using a table of random digits, the researchers will randomly place the 1,200 items into three equally sized treatment groups suitable for comparison.

How many unique random numbers need to be selected from the table of random digits?

3
400
800
1,200

Answers

The number of unique random numbers that need to be selected from the table of random digits will be A. 3.

What is a random number?

It should be noted that a random number simply means a number that occurs when it is impossible to predict it.

From the information given, there are 1200 subjects and there are three treatments. In order to get treatment number, there must be three unique random numbers.

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please help awnser this question correctly

Answers

A’= (0,3) B’= (0,1) C’= (6,2)
It is reflected over the X axis so the numbers will stay the same they will just be positive instead of negative

Hope this helps ;)
Juju on that beat juju on that beat

How many possible outcomes exist when four fair coins are flipped? 2 4 8 16

Answers

Answer:

16

Step-by-step explanation:

50-50 chance for each

2x2x2x2=16

There are 6 swimmers in a race. In how many ways can they finish in first and second place?
-12
-30
-120
-360

Answers

Answer:

step 1. 6x2=12 first place way

step 2. 12×2=24

step 3. 24+6=30 second place way

laura cuts a square out of scrap paper. what is the angle measure of the piece left over?
HURRY UP I NEED THIS ANSWER BEFORE 12:30!!!

Answers

Answer:

I would be a right angle or 90°

Explanation:

If a square is cut out of the paper, every corner of a square is a right angle, so there's your answer.

hope i helped :)

Quickly Help will make you brainliest These figures are congruent. What series of transformations moves
quadrilateral ABCD onto quadrilateral A'B'C'D'?
y
-8 4
8
B
A
-8
Note: Rotations are clockwise. Reflections are over the x- or y-axis.
G
8
4
+
D
B
A
4
C
D'
X

Answers

The series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is C. reflection, translation.

What is transformation?

It should be noted that transformation simply means the movement of object in a coordinate plane.

The common type of transformation in mathematics include translation, rotation, reflection, and dilation.

Here, the series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is reflection, and translation. Reflection is flipping the pre image and producing the mirror image while translation is movement of the pre image

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Answer:

A

Step-by-step explanation:

5. A pyramid with a triangular base has a volume of 80 cubic meters and a base
area of 20 square meters. Find the height of the pyramid.

Answers

The height of the triangular pyramid will be equal to H=12 feet.

What is a triangular pyramid?

A triangular pyramid is a pyramid having triangular faces the other sides of the pyramid are simliar triangles.

It is given that:-

The Volume of the pyramid=80 cubic meters

The Base area of the pyramid=20 square meters

The height of the pyramid=?

We know that the volume of a pyramid is given as:-

V=(1÷3)x Base area x height

V=(1÷3)x20 x H

H=(80x30)÷20

H=12 feet

Hence the height of the triangular pyramid will be equal to H=12 feet.

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Jimmy said that a rhombus is always a square. Zach said that a rhombus is always a rectangle. who is correct

Answers

Answer:

Jimmy is correct

Step-by-step explanation:

The dimensions of the rhombus and square are probably almost the same


[tex]\log _ { 5 } ( 2 m + 5 ) = 3log5​(2m+5)=3[/tex]
solution needed
with briefly explained​

Answers

Answer:

m = 60

Step-by-step explanation:

log is another way to write an exponent.

Example:

exponent form:

7^2 = 49

log form:

log_7 (49) = 2



In your question, we need to change to exponent form, from log form.

log_5 (2m+5)=3

5 is the base. 3 is the exponent.

Now it can be solved.

5^3 = 2m+5

125 = 2m + 5

120 = 2m

60 = m

An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the ohitcome of a single trial of a random experiment. Compute the probability of each of the following events. 00 Event A: The sum is greater than 9. Event B: The sum is not divisible by 6. Write your answers as fractions.​

Answers

Answers:

P(A) = 1/6

P(B) = 5/6

=========================================================

Explanation:

Let's calculate P(A).

Refer to the dice chart below.

We have

3 copies of "10"2 copies of "11"1 copy of "12"

There are 3+2+1 = 6 sums that are greater than 9.

This is out of 6*6 = 36 sums total

P(A) = 6/36 = (1*6)/(6*6) = 1/6

----------------------

Now to calculate P(B).

The multiples of 6 in the table are: 6, 12

There are 5 copies of "6"There is 1 copy of "12"

There are 1+5 = 6 items that are a multiple of 6. This means we have 36-6 = 30 sums that aren't a multiple of 6

P(B) = 30/36 = (5*6)/(6*6) = 5/6

Side note: it's probably coincidence that P(A)+P(B) = 1 in this case.

6. The circular floor carpet has an area of 484π in? What is the radius of the floor carpet?​

Answers

The radius should be 12.4121708

What is the value of x?
42
21
19
38

Answers

Answer:

21.

Step-by-step explanation:

Angles subtended by the same arc on the circumference of the circle are congruent, so:

2x = 42

x = 21.

Find the quotient 16)4.88

Answers

Answer:

if this is 4.88/16 then the answer is 0.305.

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