Review the table of values showing the number of
days each year from 1990 to 1997 that air quality in
San Diego did not meet federal air quality standards.

Answer:

The answer is letter B

Step-by-step explanation:

-5x^2+3x+10

-25x+3x(-5)+10

-25x-15+10

-40+10

30

9514 1404 393

Answer:

  A.  f(x) = x^2 -3x -10

Step-by-step explanation:

You can easily determine the correct equation by looking at a couple of table values.

The y-value for x=0 is -10, which is the constant in the quadratic formula. (eliminates choices B and C)

The y-value for x=1 is -12, which is the sum of coefficients in the quadratic formula. For choice A, the sum of coefficients is 1 -3 -10 = -12. For choice D, the sum of coefficients is 1 +3 -10 = -6. The value for choice D does not match the table, but the value for choice A does.

The function that represents the table is ...

  f(x) = x^2 -3x -10

_____

Additional comments

If you don't have equations to test, and you want to write your own equation, there are a couple of ways to do that. One is to look at the differences of y-values, and the differences of those.

The sequence of y-values shown is ...

  30, 18, 8, 0, -6, -10, -12

The sequence of differences of these numbers, starting with 18-30 = -12 is ...

  -12, -10, -8, -6, -4, -2

The sequence of differences of these numbers is ...

  2, 2, 2, 2, 2

The fact that they are constant tells you a quadratic (degree = 2) will describe the table.

We can find the coefficients a, b, c in the quadratic formula f(x) = ax^2 +bx +c as follows. First, we define d1 as the first of the sequence of differences (-12), and d2 as the value of the second differences (2). And we'll let x0 and y0 be defined as the first of the x-values (-5) and y-values (30).

The formulas for the coefficients (a, b, c) can be found from ...

  a = (d2)/2 = 2/2 = 1

  b = (d1) -a(2·(x0) +1) = -12 -1(2·(-5) +1) = -12 +9 = -3

  c = y0 -x0(a·x0 +b) = 30 -(-5)(1·(-5) +(-3) = 30 -40 = -10

As we noted above, the y-value corresponding to x=0 is also this c value. When the table includes x=0 and x=1, those can be used to simplify the finding of the formula coefficients.

These computations tell us f(x) = x^2 -3x -10, as above.

__

If you have to do this again, it might be useful to make a note of the expressions for 'a', 'b', and 'c' that we showed here, along with the definitions of the variables we used in them.

__

Another way to find the formula for f(x) is to make use of a calculator or spreadsheet capable of quadratic regression. Give it three (x, y) pairs from the table, and it can tell you the formula coefficients. This is illustrated by the attachment.

The answer is 1, 2, 5, and 9

Answer:

X= y-y1/m+x1

Step-by-step explanation:

there again

Answer:

(2, -5)

Step-by-step explanation:

Using the midpoint formula - M= [tex](\frac{x_{1} +x_{2} }{2}, \frac{y_{1}+y_{2} }{2} )[/tex], we get that the x value of the point is 2 and the y-value of the midpoint is -5, so the midpoint of segment ST is (2, -5)

Answer: Fourth Choice. -46.08

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

s = 2.4

b=-7.2

t=4.8

n=-9.6

Given expression

(s - b) (n + t)

Substitute values into the expression

= (2.4 - (-7.2)) (-9.6 + 4.8)

Simplify values in the parentheses

= (2.4 + 7.2) (-4.8)

=(9.6) (-4.8)

Simplify by multiplication

= [tex]\boxed{-46.08}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Step-by-step explanation:

s = 2.4

b = - 7.2

t = 4.8

n = - 9.6

Substituting the given values in the equation :-

= > ( s - b ) ( n + t )

= > ( 2.4 - ( - 7.2 ) ) ( - 9.6 + 4.8 )

= > ( 2.4 + 7.2 ) ( -4.8 )

= > ( 9.6 ) ( - 4.8 )

= > - 46.8

Answer:

2+2=4

Step-by-step explanation:

if you put up 2 fingers and then add 2 more (2+2) you will get 4!

lol I hope that helped!

Answer:

199.5lbs,  199.6lbs, 199.7lbs, 199.8lbs, 199.9lbs

You can choose any of the 5

Answer:

[tex]6+\frac{7!}{5!-8}[/tex]

Step-by-step explanation:

The only way to get this is by using advanced operations such as Factorials.

Answer:

D = 90°

E = 147°

F = 33°

Step-by-step explanation:

E:

E is 147°, because it is vertical to the angle 147°

F:

F is 33°, because 147* is its supplementary angle, or angles that add up to 180°

D:

D is worth 90°, because its supplement is worth 90°

-Chetan K

Answer:

when r=3 and s=5.

Step-by-step explanation:

Given : Expression  when r=3 and s=5

Substituting, r=3 and s=5

Therefore,  when r=3 and s=5.

Answer:

is there a image?

Step-by-step explanation:

Answer:

1739999200

Step-by-step explanation:

I am sorry, but I am simply not putting the explanation for that...

Answer:

12

Step-by-step explanation:

x=4

2×4+4

=12

I think this is the answer

Answer:

Car A was 20 miles east of car B.

Step-by-step explanation:

just did it:)

Answer:

Step-by-step explanation:

31) Multiply the entire equation by the LCM of 5 & 4 which is 20

[tex]20*\dfrac{2x^{2}}{5}+20*\dfrac{5x}{4}=10*20\\\\4*2x^{2}+5*5x = 200\\\\8x^{2}+25x - 200 = 0[/tex]

B

32) D

By trial & error method 17 * 15 = 255

33) x = 2

y = 4x² + 1

  = 4*2² + 1 = 4*4 + 1

  = 16 + 1

y = 17

B

34) D) all real numbers

35) Domain = all real numbers,

x = -2 ; y = -(-2+2)² - 7 = 0 - 7 = - 7

x = 0 ; y = -(0+2)² - 7 = -4 - 7 = -11

x = 4; y = -(4+2)² - 7 = - 6² -7 = -16 - 7 = - 23

C) y ≤ -7

36) t =  1 second

y = 160t - 40t² = 160*1 - 40*1² = 160 - 40

y = 120 m

C

37)  Let the number be 'x'

x² + x = 165

x² + 4x - 165 = 0

Sum = 4

Product = -165

Factors = 15 , -11      {15*(-11) = -165   & 15+ (-11) = 4}

x² + 15x - 11x - 165 = 0

x(x + 15) - 11(x + 15)=0

(x + 15)(x - 11) = 0

x + 15 = 0   ; x - 11 = 0

x = -15       ; x = 11

C

38) y = 3(x + 1)² - 2

Plugin x = -1   ; y = 3(-1 +1)² - 2 = 0 - 2

                        y = -2

(-1 , -2)

D

39) y = 3(x - 9)²  + 3

Plugin x = 9 ;   y = 3(9-9) + 3 = 0 + 3 = 3

B

Answer:

answer see below

Step-by-step explanation:

Draw four straight lines that are perpendicular to each other and use a compass to cut AB's length on each line to form a square.

Answer:

slope of AB = Y2 -Y1/X2 -X1

=7 - 3/-5-(-5)

=4/-5 +5 = 4/0

= undefined ( a number divided by 0 is undefined)

slope of CD =9 -9/-10-1

= 0/-11

= 0

since AB is not equal to CD

THE LINES ARE PERPENDICULAR

1/4 + 2/3

= 3/12 + 8/12

=11/12

1–11/12

you have 1/12 left

Answer:

one-quarter left

Step-by-step explanation

pretty sure this is the answer, but i could be wrong

Answer:

-0.45

Step-by-step explanation:

oof

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

It is the average amount by which the function varied per unit throughout that time period. It is calculated using the gradient of the line linking the interval's ends on the graph depicting the function.

Stacy likes to do heart-stimulating exercises 10 hours every week to remain in shape. She tracks how much time she does heart-stimulating exercise every week compared with her goal. The table shows the information throughout the previous five weeks.

The table is given below.

Week                                          1              2            3              4            5

Aerobics time (hours)              2.8          −2           1 ³/₄          0           −3

Then relative to Stacy's goal, her average aerobics time over the last five weeks will be given as

⇒ (2.8 − 2 + 1 ³/₄ + 0 − 3) / 5

⇒ (0.45) / 5

⇒ 0.09

Relative to Stacy's goal, her average aerobics time over the last five weeks will be 0.09.

More about the average rate change link is given below.

https://brainly.com/question/28744270

#SPJ5

28x⁴y³z  = 4x³y³z (7x)

12x³y⁴z² = 4x³y³z (3yz)

Answer:

Angels 3 and 1 are vertical angels

Step-by-step explanation:

And they both have the same measurement since they are directly opposite of each other.

Answer:

$1.89

Step-by-step explanation:

Given Equation:

5b=9.45

What are we looking for?

b

We must solve by making b by itself:

5b=9.45

÷5      ÷5

b = 9.45/5

b = 1.89

Therefore, each box of cereal costs $1.89

Hope this helps!

Answer:

hs kgo s 7th duk6xutf2 ki kwai uh dragnet hi 2hn kd7uhsjsmsjsuuejejejjeejje

Step-by-step explanation:

hopes this helps hu dujdtrdd72 heckle Chiang Huskies heavier kir https://vm.tiktok.com/ZM8fbk1KS/ackrabbits granite Kazmirhttps://vm.tiktok.com/ZM8fbk1KS/

Answer:

9

Step-by-step explanation:

1 = 10%

9 = 90%

Answer:

y = - x +2

Step-by-step explanation:

Slope = -1

Point: (-3,5)

b = 5 - (- 1)(- 3)

= 5 - 3 = 2