Find the value(s) of "k" that will cause the equation 4x^2 +kx + 4 to have one real solution.

Assuming both cars start at the same position, in the first 3 hours the first car covers a distance of

(40 mi/h) (3 h) = 120 mi

Take the 3 hour mark to be the origin, so that the first car's position after t hours is

120 mi + (40 mi/h) t

while the second car's position is

(55 mi/h) t

The second car catches up to the first when their positions are equal:

120 mi + (40 mi/h) t = (55 mi/h) t

120 mi = (15 mi/h) t

t = (120 mi) / (15 mi/h)

t = 8 h

Answer:1/20

Step-by-step explanation:mark me as brainliest

Answer:

1) x = 3/2  2)  x = 6  3) x = 3

Step-by-step explanation:

For Number 1:

4(x+8)−4=34

Step 1: Simplify both sides of the equation.

4(x+8)−4=34

(4)(x)+(4)(8)+−4=34(Distribute)

4x+32+−4=34

(4x)+(32+−4)=34(Combine Like Terms)

4x+28=34

Step 2: Subtract 28 from both sides.

4x=6

Step 3: Divide both sides by 4.

4x/4 = 6/4

x = 3/2

For Number 2:

2/3(9+x)=−5(4−x)

Step 1: Simplify both sides of the equation.

6 + 2/3x = −20+5x

Step 2: Subtract 5x from both sides.

−13 /3 x+6=−20

Step 3: Subtract 6 from both sides.

-13/3x = -26

Step 4: Multiply both sides by 3/(-13)

x = 6

For Number 3:

−3(x+4)+15=6−4x

Step 1: Simplify both sides of the equation.

−3(x+4)+15=6−4x

(−3)(x)+(−3)(4)+15=6+−4x(Distribute)

−3x+−12+15=6+−4x

(−3x)+(−12+15)=−4x+6(Combine Like Terms)

−3x+3=−4x+6

−3x+3=−4x+6

Step 2: Add 4x to both sides.

−3x+3+4x=−4x+6+4x

x+3=6

Step 3: Subtract 3 from both sides.

x+3−3=6−3

x = 3

Answer:

Step-by-step explanation:

Before I can answer this, please furthermore evaluate on what the acronyms MAD and IQR stand for, and I will update my answer. Thank you!

Complete question :

For a continuous random variable X, P(23 ≤ X ≤ 66) = 0.25 and P(X > 66) = 0.14. Calculate the following probabilities. (Leave no cells blank - be certain to enter "0" wherever required. Round your answers to 2 decimal places.)

a. P(X < 66)

b. P(X < 23)

c. P(X = 66)

Answer:

P(X < 66) = 0.86

P(X < 23) = 0.61

P(X = 66) = 0

Step-by-step explanation:

Given that:

X, P(23 ≤ X ≤ 66) = 0.25 and

P(X > 66) = 0.14 ;

Recall:

P(x ≤ a) + p(x ≥ a) = 1

Then ; P(X < 0.66) = 1 - 0.14 = 0.86

Hence,

P(X < 0.66) = 0.86

P(23 ≤ X ≤ 66) = 0.25

P(X < 66) = 0.86

Hence,

P(X < 23) = 0.86 - 0.25 = 0.61

Probability that a continuous random variable is exactly equal to a particular number equals 0

Hence,

P(X = 66) = 0

Answer:

set A and set B...it is the best and right option bro...option c is wrong because 2 elements of domain has relation with 1 range

Answer:

Add 10 to three times  the value of x minus 7.

Step-by-step explanation:

Answer:

Three times the difference of X and seven plus ten

Step-by-step explanation:

Answer:

132

Step-by-step explanation:

Answer:

{-1, 0, 3, 4}.

Step-by-step explanation:

sorry if this is incorrect

Answer:

Sorry dude, I need more context. Can you write out the full equation if there's more? Sorry.

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

9 divided by 2 is 4.5 17 divided by 2 is 8.5 subtract the two to get 4

Answer: The difference between 26 and 9 is 17

Answer:

20-12=8

here it is the difference is 8.

Answer:

Very low, 2/8 or 1/4.

Step-by-step explanation:

Answer:

from least to greatest.= 6.7%, 0.67, 6/7

Answer: 6.7%, 0.67, 6/7

Step-by-step explanation:

6.7% is less than 0.67.

0.67 is less than 6/7.

So, the order is 6.7%, 0.67, and 6/7.

9514 1404 393

Answer:

  -3/2 < x < 9/2

Step-by-step explanation:

You can divide the inequality by -2, then rewrite as a compound inequality:

  |2x -3| < 6

  -6 < 2x -3 < 6

Add 3 and divide by 2:

  -3 < 2x < 9

  -3/2 < x < 9/2

Complete Question

Ava read an article claiming that 10% of people in her county were senior citizens, and she wondered if this held true for residents in her city. She took a random sample of 225 people from her city to test H0 : p = 0.10, where p is the proportion of people in her city that are senior citizens. Ava found that approximately 14% of those sampled were senior citizens. She conducted an appropriate significance test, and the resulting test statistic was z ≈ 1.89 z. Assume that the conditions for inference were met.calculate the p-value for Ellie's significance test

Answer:

The p-value is  [tex]p-value  = 0.0588[/tex]

Step-by-step explanation:

From the question we are told that

   The percentage of senior citizens is  p =  0.10  

   The sample size is  [tex]n  =  225[/tex]

   The  sample proportion is  [tex]\^{p} =  0.14[/tex]

   The test statistics is  [tex] z \approx =   1.89[/tex]

The null hypothesis  is  [tex]H_o  :  p = 0.10[/tex]

The alternative hypothesis is   [tex]H_a  :  p \ne 0.10[/tex]

   Generally the p-value is mathematically represented as

       [tex]p-value  =  2 *  P(Z > 1.89 )[/tex]

From the z-table  

       [tex]P(Z > 1.89 )  =   0.029379[/tex]

=>     [tex]p-value  =  2 *   0.029379[/tex]

=>     [tex]p-value  = 0.0588[/tex]

Answer:

No because 0.06>0.05

Step-by-step explanation:

kahn

Answer:

D

Step-by-step explanation:

h(x)=12-0.5x

x=hour

Answer: 45 minutes.

Step-by-step explanation:

First, divide. 30 divided by 6 is 5.

Then, multiply 5 and 9. That equals 45 so 45 is your answer.

It takes 45 minutes to make the 9 keychains.

Given that, Hugo sells handmade key chains online yesterday he made 6 keychains in 30 minutes.

Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.

Let the time taken to make 9 keychains be x.

Now, 6:30::9:x

⇒ 6×x=30×9

⇒ 6x=270

⇒ x=45 minutes

Therefore, it takes 45 minutes to make the 9 keychains.

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25 I think....      I am sorry if its wrong                      

Answer:

C

Step-by-step explanation:

Multiplying by the reciprocal is the same as division.

Answer:

its actually (b) addition property of equality

Step-by-step explanation:

i got the answer correct on edmentum

Answer:

Step-by-step explanation:

5X + 17 = 7

subtract 17 each side

5x + 17 - 17 = 7 - 17

divide 5 both sides

5x = -10  

5x/5 = -10/5

x = -2

The solution of expression is,

⇒ x = - 2

We have to given that;

The expression is,

⇒ 5x + 17 = 7

Now, We can simplify as;

⇒ 5x + 17 = 7

Subtract 17 both side,

⇒ 5x = 7 - 17

⇒ 5x =- 10

Divide by 5;

⇒ x  = - 10/5

⇒ x = - 2

Thus, The solution of expression is,

⇒ x = - 2

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Answer:

Step-by-step explanation:

100-65=35%

▪ Answer:

2^(-12)

▪ Step-by-step explanation:

Hi there!

1/64^2 =

= 1/(2^6)^2

= 1/2^12

= 2^(-12)

Good luck !

use

(a^b)^c = a^(b×c)

1/a^b = a^(-b)

Answer: B. y-1=2(x-3)

Step-by-step explanation:

First subtract both sides by 2x so it becomes -y=-2x-1

Second divide both sides by -1 so it becomes y=2x+1

After that to get it in the form they want it subtract 1 from both sides so that it becomes y-1=2x

Answer:

1) 1/3

2) 45/99

3) 35/99

4) 24/99

5) 39/99

Explanation:

1) 0.333 = 0.333/1 = 0.999/3 ≈ 1/3

2) 0.454545 ; 100x ≈ 45.45 ; x ≈ 0.45 ; 45.45-.45 = 45 ; 100x-x = 99 ; x = 45/99

3) 0.354535 ; 100x ≈ 35.35 ; x ≈ 0.35 ; 35.35-.35= 35; 100x-x = 99x ; x = 35/99

4) 0.242424 ; 100x ≈ 24.24 ; x ≈ 0.24 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 24/99

5) 0.393939 ; 100x ≈ 39.39 ; x ≈ 0.39 ; 24.24-.24 = 24 ; 100x-x = 99x ; x = 39/99

Answer:

1st table: Not a function

2nd table: Function

3rd table: Not a function

4th table: Function

Step-by-step explanation:

The functions pass the verticle line test

meaning, there is only one x value for any y value

Answer:

47.42

Step-by-step explanation:

Try solving this way

 23.85

+07.42

+16.16

=======

47.42

Answer: c

Step-by-step explanation:

The correct statement is that g(x) is a function because f(x) is one-to-one.

First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.

We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.

We know a function f(x) has its inverse g(x) if and only if f(x) is a one-to-one function.

From the given statements the only true statement is, g(x) is a function because f(x) is one-to-one.

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Answer:

I'm not sure what the question is but an example question could be

"Take 5 away from 3."

For this you would go to three on the number line and then move left five gaps. You would land on -2

another example: "Add 4 to -3."

For this, you would go to -3 on the number line, and then move right 4 times. you would land on 1.

Answer:

4.5

Step-by-step explanation:

just move 1 1/2 steps to the left