which number line represents the solution of 4x - 9 > - 21?

Answer:

  No; no sign change of g(x) in that interval

Step-by-step explanation:

The intermediate value theorem tells you there will be at least one zero between any two points where the function changes sign. The table shows sign changes in the intervals [-2, -1], [0, 1], and [1, 2]. So, the three zeros of the cubic lie in those intervals.

There are no additional zeros to be found, and there are no sign changes of g(x) between x=2 and x=3, so there is no zero in the interval [2, 3].

_____

Additional comments

We can only answer this with certainty because we have already found the locations of the three real zeros this cubic has. If there were two that were unaccounted for, then the possibility might exist for the graph to make an excursion across the x-axis and back in the interval [2, 3].

__

First differences of the table values are ...

  -5, +1, +2, -3, 0

Second differences are ...

  6, 1, -5, 3

Third differences are ...

  -5, -6, +8

This table cannot represent a real cubic function. For evenly-spaced x-values, a cubic polynomial must have constant 3rd differences. If the last two values in the table were -1 and -12, the function would be ...

  g(x) = -5/6x^3 +1/2x^2 +7/3x -1

You may want to discuss this question with your teacher.

the answer is B

P/s : i use my calculator

ok done. Thank to me :>

Option A is the answer

Answer:

Yes.

Step-by-step explanation:

If you use the vertical line test, you'll see that the line only touches the graph at one point.

Answer:

51 miles

Step-by-step explanation:

perimeter is distance around the outside of figure.

there are three sides with 17 mi. That means the perimeter is 51 miles

Answer:

249.9

uhm.. correct me if im wrong

Answer:

Step-by-step explanation:

Imsureeeeeeee123

Answer:

[tex](x-4)(x^2+6)[/tex]

Step-by-step explanation:

x³-4x²+6x-24 is our equation

Once we factor it we get

[tex](x-4)(x^2+6)[/tex]

Answer:

7.1 in²  

Step-by-step explanation:

If you mentally rearrange the figure it's

a circle with a radius of 1

and a square with side of 2

Area of circle

a = 3.14r²

a = 3.14 * 1²

a = 3.14

Ares of square

a = s²

a = 2²

a = 4

Combined ares

a = 3.14 + 4

a = 7.14

Rounded

7.1 in²

Applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Recall:

The diagram showing the information and sketch of the Highland Park is attached below (see attachment).

Thus:

m<BAC = 36° (given)

m<BCE = 60° (given)

<ACD = <BAC (alternate angles)

m<ACD = 36°

m<ACB = 180° - (m<ACD + m<BCE) (angles on a straight-line)

m<ACB = 180° - (36° + 60°)

m<ACB = 84°

Thus, applying the definition of alternate angles and angles on a straight-line: m<ACB = 84°.

Learn more here:

https://brainly.com/question/15234579

Answer:

  no

Step-by-step explanation:

A rational function is the ratio of two polynomials. It will have a vertical asymptote if there is a real denominator zero that is not matched by one in the numerator.

Polynomials in general may or may not have real zeros, and two polynomials may have the same zero. Hence conditions may exist for a rational function not to have any vertical asymptotes.

An example with no vertical asymptotes is ...

  f(x) = (x -1)/(x^2 +1)

Answer:

13122

Step-by-step explanation:

Our equation is 2(3)⁸

once its solve we get 13122 as our answer

Answer:

2

Step-by-step explanation:

After reflecting ABC over the y-axis and translating that image down, ABC will map onto DEF.

Answer:

(2)

Step-by-step explanation:

If you reflect ABC across the y axis it would look like DEF but above the x axis; translate it down and you get DEF.

If the price was reduced by $2.19, the original price of the scarf would be $2.19 + $8.40 which is $10.59

Answer:

The original price of the scarf was $10.59.

Step-by-step explanation:

"The price of a scarf is reduced by 2.19. The price is now 8.40."

Let X be the original price of the scarf.

That can be written as an equation like this:

x - 2.19 = 8.40

Now, just solve for x. Add 2.19 to both sides:

x = 10.59

The original price of the scarf was $10.59.

Answer:

Find out the value of x.

To prove

Definition of mid- segment

It is a segment connecting the midpoints of two sides of a triangle.

It is always parallel to the third side, and the length of the midsegment is half the length of the third side.

As shown in the triangle given below.

As given

DE = 5x and BC = 11x – 15

Thus

15 = 11x - 10x

15 = x

Therefore the value of x is 15 .

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

down - up +

Step-by-step explanation:

Step-by-step explanation:

1.2 × 2.8

(2 - 0.8 )(2 + 0.8)

2² - (0.8)²

4 - 0.64

3.36

[tex]\begin{gathered}1.2 \times 2.8 \\ = (2 - 0.8)(2 + 0.8) \\ = {(2)}^{2} - {(0.8)}^{2} \\ = 4 - 0.64 \\ = 3.36\end{gathered}

[/tex]

3.36

Hope it helps.

Do comment if you have any query.

Explanation:

10h represents the cost of $10 per hour for h hours, where h is some positive whole number. We tack on the extra $5 to add on the cost of gas.

For example, if the babysitter works for 7 hours, then h = 7. It leads to a cost of 10h+5 = 10*7+5 = 70+5 = 75. The total cost is therefore $75 in this case.

Answer:

Step-by-step explanation:

please try to provide a more accurate information 13cm of what? 790?

Answer:

The area of parallelogram can be found by product of its base and height. The calculations are shown below:  

Step-by-step explanation:

We know that,

Area of parallelogram = base × height

assume base to be 21 cm.

Then,

sin 79° = [tex]\frac{height}{13}[/tex]

∴ height = 13 × 0.98 = 12.74

Area of parallelogram = 21 × 12.74

                                   = 267.54 [tex]cm^{2}[/tex]

The area of parallelogram is calculated as 267.54 [tex]cm^{2}[/tex]

Answer:

a f

Step-by-step explanation:

(−5, 2) is point lie on a line that passes through the origin with a slope of −2/5

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the points lie on a line that passes through the origin with a slope of −2/5

The line passes through (0, 0) and (x, y) form a slope of -2/5

-2/5=y/x

So y is 2 and x is 5.

Hence, (−5, 2) is points lie on a line that passes through the origin with a slope of −2/5

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ2

Answer:

0

Step-by-step explanation:

1. First, we should know the slope-intercept form of any equation: y = mx + b.

2. In the equation y = -2/3(x), it appears that the variables we can see are y, m, and x. However, the y-intercept, b, is still there with the value of 0.

Therefore, the y-intercept is 0.

Answer:

Step-by-step explanation:

Picture is quite fuzzy so I will ASSUME that the triangle has inner angles of 100° and 34° (now I'm told it's 38)

This means the unlabeled angle is 180 - 100 - 34 = 46°

180 - 100 - 38 = 42°

Using law of sines.

a/sin46 = 12/sin34

a/sin42 = 12/sin38

a = 12sin46/sin34 = 15.17415...

a = 12sin42/sin38 = 13.04217...

round as appropriate. I think it my say to the hundredths

a = 15.17

a = 13.04

If I did not guess the numbers in the photo correctly, just use the same technique to arrive at a better solution.

Answer:

Step-by-step explanation:

3

Answer:

1.12

2.11

3.19

Step-by-step explanation:

Sana nakatutulong

#Carry on learning

Pa brainliest po

Answer:

At present he has x stamps

Every month he adds 6 numbers, for 8 months

So total added 8x6=48

The total will be x+48 which is expected to be twice of x

x+48=2x

Solving x=48

At present he has 48 stamps

Step-by-step explanation:

Answer:

356

Step-by-step explanation:

53 + 36 = 89

89 x 4 = 356

and where is the bar diagram????

9514 1404 393

Answer:

  (b)  6x −7y = −11

Step-by-step explanation:

Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...

  a) 11/-7 = -1 4/7

  b) -11/-7 = 1 4/7 . . . . possible candidate

  c) 11/-6 = -1 5/6

  d) -13/-5 = 2 3/5

The only y-intercept that matches the graph is the one for equation ...

  6x -7y = -11

_____

You can use any of several other strategies to verify this choice:

1) Putting the given point values into the equation:

  for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes

  for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes

__

2) Finding the equation from the given points.

  m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7

Then the point-slope equation is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-1) = 6/7(x -(-3)) . . . . . substitute known values

  7y +7 = 6x +18 . . . . multiply by 7, simplify

  6x -7y = -11 . . . . . . . add -18 -7y to both sides

Answer: y = (1/2)x + 3

Step-by-step explanation:

The equation in slope-intercept form  y = (1/2)x+3

To determine how to write an equation from two points, we must determine the value of the slope and the yy-intercept. First, we will calculate the slope. This will be the value of mm in the slope-intercept form equation:

y=mx+b

Let’s answer the question, “What is the slope-intercept form of a line going through the points (1,5)(1,5) and (-4,7)(−4,7)?”

Remember, to calculate the slope we use the equation:

y2-y1/x2-x1

Therefore, the slope of the line is

-2/5

​

We can substitute

-2/5 for m.

To learn more about equation in slope-intercept refer to:

https://brainly.com/question/1884491