7. Consider a topograph with values 1,7,-2 as in the margin (pictured).
Fill in the ?s to satisfy the arithmetic progression rule
​

Answer:

[tex]16x^{2} -42x+5[/tex]

Step-by-step explanation:

Sum of its zeroes=[tex]\alpha +\beta =\frac{21}{8} \\[/tex]

Product of its zeroes=[tex]\alpha \beta[/tex]=[tex]\frac{5}{16}[/tex]

Formula to form a quadratic polynomial:

[tex]p(x)=k[x^{2} -(\alpha +\beta )x+\alpha \beta ][/tex]

p(x)=[tex]k[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex]16[x^{2} -(\frac{21}{8} )x+\frac{5}{16}][/tex]

p(x)=[tex][16x^{2} -42x+5][/tex]

The quadratic polyniomial is [tex]16x^{2}-42x+5[/tex]

Answer:

[tex]-2 \geq w \geq 2[/tex]

Step-by-step explanation:

Given

[tex]|-w| \geq 2[/tex]

Required

Solve for w

[tex]|-w| \geq 2[/tex]

In absolution functions;

[tex]|-w| = |w|[/tex]

So, the given expression can be rewritten as

[tex]|w| \geq 2[/tex]

Removing the absolute sign, will gibe

[tex]w \geq 2[/tex] or [tex]w \leq -2[/tex]

When the second inequality os rewritten, it gives

[tex]w \geq 2[/tex] or [tex]-2 \geq w[/tex]

Reorder both inequalities

[tex]-2 \geq w[/tex] or [tex]w \geq 2[/tex]

Lastly, both inequalities are combined

[tex]-2 \geq w \geq 2[/tex]

Answer:

Terminating decimals have a finite number of digits after the decimal point. Repeating decimals have one or more repeating numbers or sequences of numbers after the decimal point, which continue infinitely.

It's not a typo that 0 is written twice.

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

Explanation:

This is considered a step function because it resembles steps or a staircase. The vertical pieces aren't drawn to allow it to remain a function (or else it fails the vertical line test). Also there should be open holes at each left endpoint.

Recall that any horizontal line has a slope of 0 due to the fact that the rise is 0

slope = rise/run

The rise takes care of the vertical change in position. But if the line doesn't go up or down, then rise = 0 leads to slope = 0.

In short, the slope of each horizontal portion is 0. It doesn't matter which sub-section you focus on.

This is why you'll type 0 into the first two boxes.

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

As for the remaining two boxes, you'll be looking where the graph is the highest and the lowest to determine the max and min y values respectively.

We see that y peaks at y = 4 at the very top. So you'll type 4 into the third box.

Furthermore, we see that the lowest part of the graph is when y = -3. Therefore, this is the minimum aka smallest y value and you'll type -3 into the fourth box.

Answer:

1/4

Step-by-step explanation:

25 people took a vitamin and still got the flu and the total number is 100 so the fraction is 25/100 which can be reduce to 1/4

The P(took a vitamin | got the flu) will be 1/4.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Here, the table below shows one doctor's patients who got the flu and whether or not they took a vitamin each day.

We need to find the P(took a vitamin | got the flu).

Now, 25 people took a vitamin and still got the flu.

The total number is 100.

So, the fraction is 25/100 which can be reduce to 1/4.

P(took a vitamin | got the flu) = 25/100

P(took a vitamin | got the flu) = 1/4

Therefore, the P(took a vitamin | got the flu) will be 1/4.

Learn more about the unitary method;

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Answer:

discriminant is b²-4ac

= 2²-4(-8)(0)

= 0

one solution

hope this helps :)

Answer:

3:25 pm

Step-by-step explanation:

How much time do they need for tours

Empire State Building : 1 hour 10 minutes

Central Park                   2 hour 50 minutes

Times Square                1 hour

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

                                      4 hours 60 minutes

but 60 minutes = 1 hour  so subtract 60 minutes and add 1 hour

4 hours 60 minutes

+1        -60

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

5 hours

They need 5 hours for the tours

We have to be at dinner at 8:25 so we need to start 5 hours earlier

8:25

- 5

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

3:25

We can start no later than 3:25 pm

Answer:

3.25

Step-by-step explanation:

First convert into minutes

1 hour = 60 minutes

Empire state building:

60 + 10 = 70

Central park:

60 + 60 + 50 = 170

Times square:

60

Now add all minutes together.

70 + 170 + 60 = 300 minutes.

Convert into hours:

300 / 60 = 5 hours.

8 - 5 = 3

So, Gabby's family can start their tour at 3:25 at most to get to dinner on time.

Hope this helped.

Answer:

Hope I helped! Brainleist!

Step-by-step explanation:

you get $12/week

and you have $

your equation is

y=12x

now...

y = 384

so

384=12x

x= 32

Answer:

x = -8

I hope this helps!

Answer:

9.83 miles

Step-by-step explanation:

Distance covered on Monday = 4.25 miles

Distance covered on Tuesday = 2.66 miles

Distance covered on Wednesday

= 4.25 - 1.33 = 2.92 miles

Total distance covered in Three days = 9.83miles

Answer:

  112

Step-by-step explanation:

To find the number of strides, divide the distance by the distance per stride:

  (98 m)/(7/8 m/stride) = (98)(8/7) strides = 112 strides

He takes 112 strides in walking 98 m.

Answer:

this is even math bro

Step-by-step explanation:  

Answer:

1

Step-by-step explanation:

Since we are taking the area of a square, you can take the square root of its area to find the side lengths.

√1 = 1

Answer:

option d is the answer if we make this kite such that two triangles form and the use sum of interior angle property then we get the value of x and then multiple it with two

Answer:

E) 15pi/2

Step-by-step explanation:

The total circle area is pi*r^2. r = 6. so the total area is 6^2pi, or 36pi.

However, we are dealing with 75/360 of a circle, or 5/24 of a circle. 5/24 * 36pi = 15pi/2.

Answer:

7y - 2y² - 4

Step-by-step explanation:

5y - 5y² - 5 + 2 + 2y + 3y² - 1

5y + 2y - 5y² + 3y² - 5 + 2 - 1   (combine like terms)

7y - 2y² - 4

Answer:

are you sure there is no further info

Step-by-step explanation:

Answer:

intersection of the lines drawn to bisect each vertex of the triangle

Step-by-step explanation:

trust

Answer:

i). If p = 7, then each person would get 5 cookies, with 1 cookie left over.

ii). If p = 10, then each person would get 3 cookies, with 6 cookies left over.

iii). If p = 11, then each person would get 3 cookies, with 3 cookies left over.

Step-by-step explanation:

First option is wrong because 5 dividing 36 is 7, not 6. It would remain 1, not 4.

Second option is correct because 36 divided by 7 would give you 5 remaining 1.

Third option is correct because 8 dividing 36 is 4, but will remain 4, not 3.

Fourth option is correct because 36 divided by 10 is 3, then will remain 6.

Fifth option is correct because 36 divided by 11 is 3, remaining 3.

Answer:

B,D,E

Step-by-step explanation:

edge

Answer:

60

Step-by-step explanation:

nPr=n!/(n-r)!

5!/(5-3)!

(5*4*3*2*1)/(2*1)

120/2

60

Answer:

60

Step-by-step explanation:

A permutation is a rearrangement of its elements in any sequence or linear order.

We are asked to rearrange the word BEACH into three letter permutations.

We find that each letter represents the first letter 5 x 3 = 15

Then distributes 5 places, so that 15 x 5 = 60

Answer:

a or b

Step-by-step explanation:

it just looks like b or a

H(t) = -4.9t^2 + 25t + 2

Height is a function of time

plug in 0, 1,2,3,4, and 5 to find the height at 0, 1,2,3,4, and 5 seconds.

at t = 0

H(0) = -4.9(0)^2+25(0) + 2 = 2 meters

Repeat for T=1,2,3,4 and 5

Notice the ball peaks around t = 3 seconds and starts to descend.  

H(1) = (-4.9)(1^2) + 25(1) + 2 = 22.1 meters

H(2) = (-4.9)(2^2)+25(2)+2=32.4 meters

H(3) = 32.9 meters

H(4) = 23.6 meters

H(5) = 4.5 meters

Answer:

D

Step-by-step explanation:

End behaviour refers to the asymptotes, which both exponential functions have the same one at y = 2. However, they have different y - intercepts. The first one has a y - intercept of 4 and the second one has a y - intercept of 6. Thus, the answer is D.

Answer:

Step-by-step explanation:

Let's name the function from graph: f

for f:

y-intercept = f(0) = 4

for x → ∞,  f(x)→2

for g:

y-intercept = f(0) = 4(¹/₄)⁰+2 = 4•1+2 = 4+2 = 6 ≠4

f(1) =  4(¹/₄)¹+2 = 4•¹/₄+2 = 1+2 = 3

f(2) =  4(¹/₄)2+2 = 4•¹/₁₆+2 = ¹/₄+2 = 2¹/₄

f(3) =  4(¹/₄)³+2 = 4•¹/₆₄+2 = ¹/₁₆+2 = 2¹/₁₆

f((5) =  4(¹/₄)⁵+2 = 4•¹/₁₈₂₄+2 = ¹/₅₁₂+2 = 2¹/₅₁₂

....

so for x x → ∞,  f(x)→2

Answer:34

Step-by-step explanation:just add the percents

Answer:

C. 26%

Step-by-step explanation:

We can sort students into three categories: Football Only, Baseball Only, and students who play Both.

Firstly, let's turn the percentages into numbers to make the calculations easier:

To find 22% convert into decimal and multiply:

0.22 x 200 = 44 TOTAL Football players

Similarly, 0.12 x 200 = 24 TOTAL Baseball players.

The question then tells us that 8 students play both.

This means there are 44-8 = 36 students who play ONLY football, and

24-8= 16 students who ONLY play baseball:

Football Only:      Both:     Baseball Only:

        36                  8                   16

44 Total Football and    24 total baseball

The question asks the probability of a student playing EITHER football OR baseball which therefore does not include the students who play both.

Now we can add up all these numbers of students which gives us:

36 + 16 = 52

Now to find the percentage we just divide 52 by 200:

52/200 = 0.26 which is equivalent to 26%.

Therefore the answer is C. 26%

Hope this helped!

The seller sold 120 single-scoop cones and 130 double-scoop cones to make $565.

250 cones were used while selling yogurt and made $565.

There are two types of cones:

Single-scoop cone that cost $2.

Double-scoop cone that cost $2.50.

We need to know how many cones of each type were used while selling yogurt that made $565.

We will have to make two linear equations using the given statements and apply the substitution method to get our answer.

Consider,

x = single-scoop cone.

y = double-scoop cone.

Now, we can make two linear equations:

x + y = 250............(A)

2x + 2.50y = 565...............(B)

Apply substitution method.

From (A) we get,

x = 250 - y...............(C)

And putting x = 250 - y in (B) we get,

2 ( 250 - y ) + 2.50y = 565

500 - 2y + 2.50y = 565

0.50y = 565 - 500

0.50y = 65

y = 65 / 0.50
y = 6500 / 50

y = 130

Putting y = 50 in (C) we get,

x = 250 - 130

x = 120

We have,

x = 120 and y = 130

We see that we need 120 single-scoop cones and 130 double-scoop cones to make $565.

Learn more about the system of the linear equations here:

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Answer:

-5r + 8r +5

= (-5+8)r+5 (we can calculate number in same variabe)

= 3r +5

hope it helps ^°^

Answer:

3r + 5.

Step-by-step explanation:

-5r + 8r + 5

= 8r - 5r + 5

= 3r + 5.

Hope this helps!

Answer:

x = 4

Step-by-step explanation:

5x - 7 = 13

5x = 13 + 7

5x = 20

x = 20/5

x = 4

Answer:

(12x+1)+(5x-3)=117

combine like terms 12x+5x=17x

1+-3= -2

17x-2=117

add 2 to both sides to isolate the variable

17x=119

divide both sides by 17 to further isolate the variable

x=119/17

x=7

answer is x=7

Step-by-step explanation:

add both angles to be the sum of the angle DEF and determine what x must be by the steps above

Answer:

x=7°

Step-by-step explanation:

Form an equation:

12x+1+5x-3=117°

Collect like terms:

Like terms are terms with the same variables and powers.

12x+5x=17x

1-3=-2

put I back into an equation:

17x-2=117°

As we want x, you would have to do inverse operations to 'undo the equation'.

117+2=119°

17x=119°

119÷17=7° (We divide by 17 because when a number is next to a letter, in algebra, it means you times so we have to do the opposite and divide)

So, x=7

Hope this helps :)

Answer:  y = 7

This is because every point on this horizontal line has a y coordinate of 7.

For instance, the points (0,7) and (3,7) are on this horizontal line. The x coordinate doesn't matter. All that matters is that y is 7. Since x doesn't matter, it's the reason why it doesn't show up in the answer.