Find the possible values of m when straight line y=mx is tangent to curve y=2x² +8.​

Answers

Answer 1

Answer: 4

Step-by-step explanation:

Find The Possible Values Of M When Straight Line Y=mx Is Tangent To Curve Y=2x +8.

Related Questions

Alina drew a model of a square pyramid. The dimensions of the model are shown in the diagram. pls don't answer with links

A: 2,880 cm3
B: 480 cm3
C: 320 cm3
D: 960 cm3

Answers

Answer:

C

Step-by-step explanation:

Volume of a pyramid = 1/3 base area * height

                                   = 1/3 (8 * 10)(12)

Find the solution of this system of equations
-2y = 48 + 6x
-6x + 9y = -84

Answers

-2y = 48 + 6x
-6x - 2y = 48 ——(1)

-6x + 9y = -84
-6x = -84 -9y ——(2)

Substitute (2) into (1):
(-84 -9y) -2y = 48
-84 -9y -2y = 48
-84 -11y = 48
-11y = 48 + 84
-11y = 132
y = - 12

Substitute y = -12 into (1):
-6x -2(-12) = 48
-6x + 24 = 48
-6x = 48 -24
-6x = 24
X = -4

ANS : y= -12, x= -4

Please show work thank you so much y’all

Answers

Answer:

a

Step-by-step explanation:

looked it up if u dondon't like the answer sorry

Reflect the triangle in the x-axis

Answers

I think this might helpful

Please answer. I’ll mark brainliest

Answers

Answer:

x=48 degrees

Step-by-step explanation:

since two sides are the same, the angles of those sides are the same, so you add 66 twice and subtract from 180.

Click this link to view O*NET’s Work Activities section for Loading Machine Operators. Note that common activities are listed toward the top, and less common activities are listed toward the bottom. According to O*NET, what are some common work activities Loading Machine Operators perform? Select four options. Operating vehicles, mechanized devices, or equipment interacting with computers scheduling work and activities identifying objects, actions, and events inspecting equipment, structures, or material getting information

Answers

Answer:

so it is 12 45

Step-by-step explanation:

Answer:

its actually 1 4 5 6

Step-by-step explanation:

10 quarters 17 dimes 40 nickels 15 pennies answer

Answers

If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.

What is the fundamental principle of multiplication?

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Quarters are worth .25 of a dollar

10 x .25 = 2.5

Dimes are worth .10 of a dollar

17 x .10 = 1.7

Nickels are worth .05 of a dollar

40 x .05 = 2

Pennies are worth .01 of a dollar

15 x .01 =  0.15

Add this together

2.5 + 1.7 + 2 + 0.15

= 6.35

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Which statement describes the relationship between point P and the other points in the scatter plot?

Answers

Answer:

A

Step-by-step explanation:

the graph is mostly going in an upward direction therefore both x and y are increasing.

Pooja and Amit are playing a card game with a standard 52 card deck. Pooja will draw a card. If the card she draws is a face card (a jack, queen, or king), she will win $6. If Pooja draws an ace, she will win $4. If any other card is drawn, she will lose $2. The image below shows a standard deck of playing cards.
What is Pooja's expected value of playing this game?

Answers

The probability helps us to know the chances of an event occurring. Pooja's expected value of playing this game is 0.3077.

What is Probability?

The probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

There are 12 face cards, therefore, the probability of the getting a face card can be written as,

[tex]\text{Probability of face card }= \dfrac{12}{52} = 0.2308[/tex]

Also, the winning prize for drawing a face card is $6. Therefore, the expected value will be,

[tex]\text{Expected Value(Face)} = \$6 \times 0.2308= $1.3846[/tex]

There are 4 ace cards, therefore, the probability of the getting an ace card can be written as,

[tex]\text{Probability of ace card }= \dfrac{4}{52} = \dfrac{1}{13} = 0.077[/tex]

Also, the winning prize for drawing an ace card is $4. Therefore, the expected value will be,

[tex]\text{Expected Value(Ace)} = \$4 \times 0.077 = $0.3077[/tex]

There are 36 normal cards, therefore, the probability of the getting a normal card can be written as,

[tex]\text{Probability of normal card }= \dfrac{36}{52} = 0.6923[/tex]

Also, the losing prize for drawing a normal card is -$2. Therefore, the expected value will be,

[tex]\text{Expected Value(Normal)} = (-\$2) \times 0.6923 = -$1.3846[/tex]

Thus, Pooja's expected value of playing this game can be written as,

[tex]\rm Expected\ Value = 1.3846 + 0.3077-1.3846 = 0.3077[/tex]

Hence, Pooja's expected value of playing this game is 0.3077.

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What is 0.47 expressed as a fraction in simplest form?
(SHOW WORK)

Answers

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

[tex]\frac{0.47}{1}[/tex] = [tex]\frac{0.47 x 100 } {1x100}[/tex] = [tex]\frac{47}{100}[/tex]

So, 0.47 as a fraction  in simpliest form equals 47/100

A car travels xkm in 3 hours. How far will it travel in 9 hours?

Answers

Answer:

3x km

Step-by-step explanation:

a bug population doubles every 5 days. If you start with 6 bugs, how many bugs will there be in 35 days

Answers

Answer:

768 bugs

Step-by-step explanation:

You can rewrite this problem as a function as time where the bug population is f(x), and x is the number of days since the start.

f(x)=6*2^(x/5)

Here, the 6 represents the number of bugs that you start with, the two shows that they double every day, and the /5 shows that they double every 5 days.

By plugging in 35, you get 6*2^7, which is 768.

5 If the standard deviation of a distribution 3.2, find the varience correct to the nearest whole number​

Answers

Answer:

Step-by-step explanation:

variance = (S.D)^2

=3.2^2

=10.24

=10

therefore , varience of a distribution is 10

1. Which expression below represents
"k more than 8"?
A 8k
B 8+k
C 8-k
D 8/k

Answers

Answer:

B. 8+k

Step-by-step explanation:

A variable is an undetermined number represented by a letter.

K is a variable.

The addition of more than is not a subtraction.

Therefore, the correct answer is B. 8+k.

I hope this helps. Let me know if you have any questions.

Write the equation of the given line in slope-intercept form

Answers

Answer:

y = -3x -1

Step-by-step explanation:

Hi there!

We are given a line on a coordinate grid, with 2 marked points, (-1, 2) and (1, -4)

We can use these points to help find the equation of the line, which we can write in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope of the line
The formula for the slope calculated from 2 points is [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have everything we need to find the slope, but let's label the values of the points to help avoid confusion.

[tex]x_1=-1\\y_1=2\\x_2=1\\y_2=-4[/tex]

Now substitute these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

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

Simplify

m=[tex]\frac{-4-2}{1+1}[/tex]

m=[tex]\frac{-6}{2}[/tex]

Divide

m= -3

The slope of the line is -3

We can substitute this into the formula.
Here's our line so far:

y = -3x + b

Now we need to find b

As the equation passes through the points (-1, 2) and (1, -4), we can use either one to find the value of b

Taking (-1, 2) for example:

Substitute -1 as x and 2 as y.

2 = -3(-1) + b

multiply

2 = 3 + b

Subtract 3 from both sides

-1 = b

Substitute -1 as b.

y = -3x - 1

Hope this helps!

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Find the measure of arc MK given the exterior angle is 55

Answers

Answer: 125 degrees

Step-by-step explanation:

Type the correct answer in each box.

Ella rolls a dle and then flips a coin. The sample space for this compound event is represented in the table (H is heads and Tis tails). Complete

the table and the sentence beneath it.

Die

1

2.

3

4

5

6

heads

H-1

H-2

H-3

H-5

H-6

Coin

tails

T-1

T-3

T-4

T-5

The size of the sample space is

Hi

Answers

The size of the sample space would be  { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }.

What is the sample space for a random experiment?

Sample space is the set of all possible outcome the considered random experiment can result to.

Thus, suppose we toss a coin, then tossing a coin is a random experiment, and the sample space is {'head', 'tail'}.

We ignore other outcomes like slant coin, or standing coin by assuming that coin is very thin to stand and always falls down.

Ella rolls a die and then flips a coin. The sample space for this compound event is represented in the table (H is heads and T is tails).

Die 1 2 3 4 5 6

Coin: heads H-1 H-2 H-3 H-5 H-6

         tails T-1 T-3 T-4 T-5

The size of the sample space

= { H-1 H-2 H-3 H-5 H-6 T-1 T-3 T-4 T-5 }

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Answer:

hope this works for u

Step-by-step explanation:

What is the balance after 3 years on a CD with an initial investment of $1,800.00 and a 2.75% interest rate?​

Answers

Answer:

$1952.62

Step-by-step explanation:

1,800(1+.0275)^3

= 1952.62

6.
Use the Change of Base Formula to evaluate log base 4 20

Answers

Answer:

The answer with calculator would be 2.16096

help. I can't do maths again​

Answers

Answer:

x ≈ 14.4 cm

Step-by-step explanation:

the third angle of the triangle = 180° - 40° - 46° = 94°

Using the Sine rule in the triangle

[tex]\frac{x}{sin46}[/tex] = [tex]\frac{20}{sin94}[/tex] ( cross- multiply )

x × sin94° = 20 × sin46° ( divide both sides by sin94° )

x = [tex]\frac{20sin46}{sin94}[/tex] ≈ 14.4 cm ( to the nearest tenth )

Answer:

14 cm (rounded to nearest whole number)

Step-by-step explanation:

Law of Sine:

[tex]\displaystyle \large{\dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} = 2R}[/tex]

a,b,c are side lengths.R is radius so 2R is diameter.A,B,C are angles.

Given angles are:

40°, 46°

Definition of Euclidean Triangle:

Sum of three interior angles equals 180°

Find another angle:

40°+46°+B = 180°86+B = 180B = 180-86B = 94°

So another angle is 94°.

To find:

Value of x

Determine:

A = 46°a = x cmB = 94°b = 20 cm

Therefore:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} = \dfrac{\sin 94^{\circ}}{20}}[/tex]

Multiply both sides by 20x:

[tex]\displaystyle \large{\dfrac{\sin 46^{\circ}}{x} \cdot 20x = \dfrac{\sin 94^{\circ}}{20} \cdot 20x}\\\displaystyle \large{20\sin 46^{\circ}= x\sin 94^{\circ}}[/tex]

Divide both sides by [tex]\displaystyle \large{\sin 94^{\circ}}[/tex]:

[tex]\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = \dfrac{x\sin 94^{\circ}}{\sin 94^{\circ}}}\\\displaystyle \large{\dfrac{20\sin 46^{\circ}}{\sin 94^{\circ}} = x}[/tex]

Evaluate the expression, hence:

[tex]\displaystyle \large{x = 14.42...}[/tex]

Round to nearest whole number:

[tex]\displaystyle \large{x = 14}[/tex]

Therefore, the value of x is 14 cm.

Which equation represents a line that passes through (–9, –3) and has a slope of –6? y – 9 = –6(x – 3) y 9 = –6(x 3) y – 3 = –6(x – 9) y 3 = –6(x 9)

Answers

Answer:

Y+3=-6(x+9)

Step-by-step explanation:

Got it right on usa test prep

Find the value of this expression if x = 6 and y = -1. xy² -5​

Answers

Answer:

1

Step-by-step explanation:

6 times (-1)^2 is just 6 so 6-5=1

NEED HELP ASAP!

Dennis is driving down the East Coast of the United States. He starts in Boston, MA, and drives through Hartford, CT, which is approximately 101 miles away from Boston. He continues on from Hartford to Baltimore, MA.

Write an equation for the length of Dennis' trip in miles in terms of the hours it takes him to drive from Hartford to Baltimore and the speed he drives in miles per hour while driving from Hartford to Baltimore. Describe all variables used and what each coefficient means

Answers

The equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

How are time taken for travel, distance traveled, and the average speed are related?

We have this below shown relation between them

[tex]\text{Average speed} = \dfrac{\text{Distance traveled}}{\text{Total time taken to travel that distance}}\\\\or\\\\\text{Total time taken to travel that distance}= \dfrac{\text{Distance traveled}}{\text{Average speed} }[/tex]

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

Let we take:

Distance from Hartford to Baltimore = d milesTime it takes for Dennis to drive from Hartford to Baltimore = t hoursAverage speed of Dennis in the considered drive = s miles per hour.

Then, we get:

[tex]s = \dfrac{d}{t}\\\\d = s \times t \: \rm miles[/tex]

Thus, the equation representing the length of Dennis' trip in miles in terms of the time it takes to travel and the speed of Dennis is: d = s×t miles

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Which of the following is NOT a function?

A. {(3, 8), (3, 9)}
B. {(3, 6), (6, 12)}
C. {(3, 7), (7, 13)}
D. {(3, 16), (4, 31)}

Answers

Answer:

A. is NOT the function.

Step-by-step explanation:

In a function, 1 input (the 3) can not have two differnt ouputs (8 and 9) meaning that this is NOT a dunction.
I hope this helps! :)

What is the volume of this prism? Enter your answer in the box. cm³ Length = 7 Width = 20 height = 4

Answers

Answer:

The volume is 560

Answer:

the volume of the right rectangular prism is 263.52 cubic centimeters hope it helps

Under what operations is the system of polynomials not closed?.

Answers

Answer:

Polynomials form a system similar to the system of integers, in that polynomials are closed under the operations of addition, subtraction, and multiplication.

...

Polynomials: YES or NO

3x½ NO - exponent is not a whole number

2x-3 NO - exponent is not a whole number. Negative exponent places x3 in denominator.

Step-by-step explanation:

Which expression is equivalent to startfraction 4 a 4 over 2 a endfraction times startfraction a squared over a 1 endfraction?

Answers

The expression that is equivalent to [(4a + 4)/2a] * [a²/(a + 1)] after simplification is; 2a

How to Simplify Fractions?

We want to simplify the expression;

[(4a + 4)/2a] * [a²/(a + 1)]

This expression can be further reduced to;

[(4a + 4)/2] * [a/(a + 1)]

Factorizing the numerator to get;

[(4(a + 1)/2] * [a/(a + 1)]

(a + 1) will cancel out to get;

2a

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please help solve this problem

Answers

Answer:

C

Step-by-step explanation:

13/18 is .72222222

.5+.222=.722

I’m pretty sure it’s b

Write the slope intercept form of the equation. Through (-3, -2) perpendicular to y=-3x

Answers

Answer:

y=1/3x-11

Step-by-step explanation:

Perpendicular to y=-3x

Get the negative reciprocal to find your new slope

1/3x is our new slope

y=mx+b

Plug coordinates in:

-2=-3(-3)+b

-2=9+b

b=-11

Find the equation of the line shown

Answers

Answer:

[tex]y=-\frac{1}{4}x+2[/tex]

Step-by-step explanation:

We will use the point slope formula: [tex]y=mx+b[/tex]

We will start by finding the slope([tex]m[/tex]).
The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]

That's our slope.

Next we need to find the y-intercept([tex]b[/tex]). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

[tex]y=-\frac{1}{4}x+2[/tex]

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"But if it does, I am fully prepared to amputate.""You are not helping," Alicia shrieked.Ron was driving the boat, and he clearly knew what he was doing. He had been running boats, working crab traps since Alicia was old enough to notice such things. Still, she wasn't sure she trusted him to tell her the truth about things. She was younger, and he liked to tease. She often found herself soaking wet from a dunk, or the loser in a game he'd "forgotten" to explain the rules for. She loved him nonetheless. He brought her treasures from his traps. He told her stories of strange creatures he'd seen in the salt marshes."Seriously," Ron continued, slowing the boat down, "they can't really hurt you. It's just a bivalve.""Bivalve means 'two valves,'" Alicia said, "but that doesn't tell me anything about how hard they bite." Spray from the waves speckled Alicia's back and shoulder. She had turned to talk to Ron, but she also was enjoying a break from getting the spray in her face. It was a warm, sunny day, but Alicia knew if the wind picked up, she could get chilled."Look, it's not going to hurt if you get bitten," Ron said, taking her seriously now. "If you just pick them up from the back, you won't have any trouble. Shoot, you pick up crabs all the time and they have a much more painful pinch than a scallop.""Well, there's a bigger place to put my hand on a crab. Scallops are petite.""And squirty," Ron added. "You know they move by pushing water through their shell? But seriously, sis, they move slowly. They will be snuggled down in the sea grass when you see them and won't go far if they do move. You'll be fine. Now climb up on the bow, look out in the shallows, and see if you can see any."Ron had slowed the boat to an almost idle speed. Up ahead, Alicia could see many boats anchored on the shallow flats. People walking around the boats would bend every now and then to pick something up from the water. It looked like a small city on the water, with people milling about, waiting for a movie to start or a party to begin.Alicia climbed up to the front of the boat and looked out over the sea grass flats. The water was just a few feet deep, and she could see the dark green blades of sea grass swaying as the waves gently washed across the shallows. The boat moved slowly, and Alicia saw shells scattered here and there and sea urchins with their spiny red orbs. Small translucent fish darted away.She had only seen pictures of scallops, but when she saw the first brown shell tucked into a clump of sea grass, she knew immediately what it was."I see one," she yelled, pointing."That's great," Ron yelled back. "Wait till you see a lot more than just one. It's not worth stopping for one."Alicia continued looking, scanning first one side of the boat, then the other. She saw a stingray dash away, patches of gleaming white sand here and there, and another few sea urchins. 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