We want to find the zeros of this polynomial:
p(x) = 2x^3 – x^2 - 8x + 4
Plot all the zeros (z-intercepts) of the polynomial in the interactive graph.

Answer:

in triangle ACD

<D =<B=90° inscribed angle from the diameter is 90°

base AC=2×OA=2×15=30unit

perpendicular =CD=12unit

area of triangle ACD

=1/2 base×perpendicular=1/2×30×12=180unit²

In triangle ABC

base=AC=30 unit

perpendicular=BC=18unit

area of traingle ABC =

1/2 base×perpendicular=1/2×30×18=270unit²

Area of quadrilateral =area of traingle [ABC+ACD]

=180+270=450 square unit ans..

Answer:

Step-by-step explanation:

Sin(35) =  opposite / hypotenuse

Sin(35) = 4 / hypotenuse                  Multiply both sides by the hypotenuse

hypotenuse * sin(35) = 4                  Divide by Sin(35)

hypotenuse = 4/Sin(35)

Sin(35) = 0.5736

hypotenuse = 4/0.5736

hypotenuse = 6.9737

Rounded answer 6.97

Answer:

x will be equal to 7 comic books

The number of books Maria is ordering is 7 books

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of comic books Maria orders be = x

The cost of x books is = y

Now , the equation for the total cost be

y = 8x + 4   be equation (1)

Now , the total cost of all the books be = $ 60

So , substituting the value of y as 60 in equation (1) , we get

60 = 8x + 4

Subtracting 4 on both sides of the equation , we get

8x = 56

Divide by 8 on both sides of the equation , we get

x = 7 books

Therefore , the value of x is 7

Hence , The number of books Maria is ordering is 7 books

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

First sample size, [tex]n_{x}[/tex] = 20

Second sample size, [tex]n_{y}[/tex] = 20

Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44

Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49

Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75

Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13

Step-by-step explanation:

Given - The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.

To find - Use appropriate symbols for the six numbers reported in this paragraph.

Proof -

First sample size, [tex]n_{x}[/tex] = 20

Second sample size, [tex]n_{y}[/tex] = 20

Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44

Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49

Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75

Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13

Answer:

The answer is b Maria will run 1.75 miles more than her goal.

Step-by-step explanation:

For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.

Hope this helps.

Answer:

15 165

Step-by-step explanation:

m1 + m2 = 180

x-18 +5x = 180

6x = 198

x = 33

m1 = 15

m2 = 165

Answer:

The possibility of rolling a  

3

on a fair die and getting tails on a coil is  

1

12

. Based on this probability, there are  

12

possible outcomes. As only 1 out of 12 possiblities would get this outcome, it is not a likely outcome.

Step-by-step explanation:

The probability of rolling a  

3

on a fair die is  

1

6

because there is only one  

3

out of  

6

numbers. The probability of getting tails on a coin is  

1

2

because there are  

2

possibilities and tails is one of them. To get the probability of rolling a  

3

on a fair die and getting tails on a coil, we multiply their probabilities:

1

6

⋅

1

2

=

1

12

There are  

12

possiblities because for each of the  

6

possibilites for rolling a die, there are  

2

possibilites for flipping a coin.

Answer:

What is the minimum:

What is the maximum:

What is the range:

How many data are displayed in the table?

Answer:

6/9

Step-by-step explanation:

Answer:

6/9 I think that's the answer

Step-by-step explanation:

x= 0, y = 2

have a great day

Answer:

C IS THE ANSWER

Answer:

$324

Step-by-step explanation:

if

=> 1hr = $8

then,

=> 40.5 x 8 = 324

=> 40.5 hr = $324

She earned $324 this week.

hope this helps and is right :)

Answer:

$324

Step-by-step explanation:

So, First we have to establish what we are solving for, in this equation we are solving for how much money Katie made this week after working 40.5 hours at a salary of $8 per hour.

To find how much Katie made we have to multiply 40.5 and 8!

Let's make it easier by splitting 40.5 into 40 and 0.5

40 × 8 = 320

0.5 × 8 = 4

320 + 4 = 324

Katie made $324 this week!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer: D. There is a negative linear relationship between the mean number of triples per game and year.

Step-by-step explanation: This claim is supported by the interval. The interval contains plausible values for the slope of the linear regression line relating year and mean number of triples per game. Since all the values in the interval are negative, the interval supports the claim that increases in the year are associated with decreases in the mean number of triples per game.

Answer:

60

Step-by-step explanation:

Plug it into the calculator

Answer:

18$

Step-by-step explanation:

2 tuna sandwiches= 14$

1 tuna sandwich= 14÷2 = 7$

1 tuna sandwich + 1 chicken sandwich = 16$

7$ +1 cs= 16$

1 chicken sandwich = 16$- 7$

1 chicken sandwich = 9$

2 chicken sandwiches = 9x2 = 18$

Answer:

[tex]\frac{17}{24}[/tex]

Step-by-step explanation:

First, you have to make all of the fractions have a common denominator. You can find the LCM (least common multiple) of 6 and 8.

6, 12, 18, 24 . . .

8, 16, 24 . . .

Their LCM is 24.

So now, change the fractions:

1         4

----  =  -----

6        24

Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.

1         3

----  =  -----

8        24

Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.

So if we have 1 band practice, we know that

24        1

----  =   ----  =   1

24        1

So the fraction of practice time spent playing music is:

[tex]\frac{24}{24}-\frac{3}{24} -\frac{4}{24}=\frac{17}{24}[/tex]

Answer:

c

Step-by-step explanation:

Answer:

x = 33 , y = 25

Here's your solution

=> let both number be x and y

=> so, x + y = 58

=> x - y = 8

=> solving both equation { add both }

=> 2x = 66

=> x = 33

=> now putting value of x in equation

=> 33 + y = 58

=> y = 58 - 33

=> y = 25

hope it helps

Answer:

C, E, and F

Explanation:

There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.

A better way is to simply solve each equation for x.

You could rewrite

2x + 7 < -3

as

2x + 7 = -3

and solve:

Subtract 7 from both sides

[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]

Now divide both sides by 2

[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]

Now we can simply replace the equals sign with the inequality

x < -5

Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.

Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:

[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]

Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.

These answers are:

C. -10

E. -8.24

and

F. -15/2 which is -7.5

NOTE: -5 is equal to but not less than -5 so G is not included.

Answer:

the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Answer:

AB=23.40cm

Step-by-step explanation:

(AB)²=(AB)²+(BC)²

(AB)²=22×22+8×8

=484+64

(AB)²=548

AB=23.40 cm

hope it helps...

have a great day!!

Answer:

7 1/3

Step-by-step explanation:

Add the whole numbers in the equation:

3+4=7

This will get you 7 1/3

Answer:

a) 0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b) 0.3379 = 33.79% probability it actually is irregular

Step-by-step explanation:

Conditional Probability

We use the conditional probability formula to solve this question. It is

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which

P(B|A) is the probability of event B happening, given that A happened.

[tex]P(A \cap B)[/tex] is the probability of both A and B happening.

P(A) is the probability of A happening.

a. What is the probability the detector will identify a random mile of roadway as irregular?

99% of 3%(it is irregular).

6% of 97%(false positive). So

[tex]p = 0.99*0.03 + 0.06*0.97 = 0.0879[/tex]

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular.

b. Given a randomly selected miles has been identified as irregular by the detector, what is the probability it actually is irregular? Give your answer to four decimal places.

Conditional probability:

Event A: Identified as irregular

Event B: It is irregular.

0.0879 = 8.79% probability the detector will identify a random mile of roadway as irregular, which means that [tex]P(A) = 0.0879[/tex]

99% of 3% arre irregulars identified as, which means that [tex]P(A \cap B) = 0.03*0.99 = 0.0297[/tex]

The desired probability is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0297}{0.0879} = 0.3379[/tex]

0.3379 = 33.79% probability it actually is irregular

Answer:

6 millimeters

Step-by-step explanation:

All the sides on a square are equal and a square has four sides. For perimeter you add up all the sides which in this case have to add up to 24.

So, 6 + 6 + 6 + 6 = 24

Answer:x/4+3

Step-by-step explanation:

8/1×1/4=8/4=2

X/1×1/4=x/4

4/1×1/4=1

Answer:

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

Step-by-step explanation:

solution in attachment

hope it helps

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:it is b because u multiply.

Answer:

27

But tell me the exact question it has on there

Step-by-step explanation: