Which is a factor of x2 + 5x – 24?
(xO
(x-6)
O (x + 6)
(8 - x) O
(8 + x) O

Answer:

y = 2

Step-by-step explanation:

Given table:

[tex]\underline{\ \ \ \ \ \ \ \ \ \ \ \ \ \ } \\\underline{| \ \ \text{x} \ \ | \ \ \text{y} \ \ | } \\ \underline{| \ \text{-6} \ \ | \ \text{-3} \ \ |} \\ | \underline{\ \text{-4} \ \ | \ \text{-2} \ \ | }\\ \underline{| \ \text{-2} \ \ | \ \text{-1} \ \ |} \\ \underline{| \ \ \text{0} \ \ | \ \ 0 \ \ |}[/tex]

To determine the value of y when "x" is 4, we need to determine the equation of the line that represents the table given. Then, we can substitute the value of "x" in the equation to determine the value of y.

Determining the equation of the line that represents the table:

Y-intercept:

Since the coordinate (0, 0) is included in the table, we can tell that the equation of the line that represents the table passes through the origin. Therefore, we can tell that the y-intercept is 0 as the y-intercept is the point on the line that intersects the y-axis.

Slope:

The slope of the line can be determined by picking any two points in the table and substituting the coordinates of the chosen points in the slope formula. Let our chosen points be (-6, -3) and (0, 0).

[tex]\implies \text{Slope} = \dfrac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]

[tex]\implies \text{Slope} = \dfrac{0 - (-3) }{0 - (-6) }[/tex]

[tex]\implies \text{Slope} = \dfrac{0 + 3 }{0 + 6 }[/tex]

[tex]\implies \text{Slope} = \dfrac{3}{6} = \dfrac{1}{2}[/tex]

Equation of line:

The equation of the line represented by the table in slope intercept form is y = mx + b, where "m" is the slope and "b" is the y-intercept.

Obtained slope and y-intercept:

⇒ y = (1/2)x + 0

⇒ y = x/2

Therefore, the equation of the line is y = x/2.

Determining the value of y when "x" is 4:

Obtained equation of line that represents the table:

Given value:

Therefore,

Thus, the value of "y" when "x" is 4 is 2.

Step-by-step explanation:

Answer:

[tex]\frac{4}{3}[/tex] miles

Step-by-step explanation:

Check the attachment.

Answer:

its this symbol

Step-by-step explanation:

Answer:

a=80° b=40°

Step-by-step explanation:

a=80 (vertically opposite angles )

a+b+90+150 = 360° ( angle sum property of quadrilateral )

80+b+90+150 = 360

b+ 320 = 360

b= 360-320

b=40°

since 4% and 0.4% are in percentage already

then convert ¼ and 0.4 to percent

¼ to percent = ¼× 100

= 25%

0.4 to percent = 4/10 ×100

=40%

the smallest is 0.4%

Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.

Dynamic pricing is used to set the price of tickets based on the situation of the demand and reduce the number of unsold tickets.

It is used to adjust the prices that tickets are sold during sports which can be based on such variables as demand, weather, team performance and even pitching match-ups.

Therefore, Dynamic pricing is typically used to increase ticket sales on low attendance days, offer fans discounts on concessions.

Learn more about tickets here:

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Answer:

23°

Step-by-step explanation:

Let the measure of the required angle be [tex]\theta[/tex]

[tex] \implies \: \theta = { \cos}^{ - 1} \: \bigg(\frac{35}{38} \bigg) \\ \\ \implies \: \theta =22.9195421516\\\\ \implies \: \theta =23\degree[/tex]

Answer:

The answer I got was

Step-by-step explanation:

[7, 4, 3]

You use the matrix calculator and then select a*b

Answer:

490 miles

Step-by-step explanation:

7/1.4 = 5

98*5 = 490

Answer:

a. no

b. no

c. no

d. yes

Step-by-step explanation:

Case I

x = -1

y = -4

7( -1) + 4 ( -4) = -23

-7 - 4 = -23

- 11 [tex]\neq[/tex] -23

Case II

x = 2

y= 6

7 (2) + 4 ( 6) = -23

14 + 24 = -23

38 [tex]\neq[/tex] -23

Case III

x = 6

y = -7

7 ( 6) + 4 (3) =- 23

42+ 12 = -23

54 [tex]\neq[/tex] -23

Case IV

x = -5

y = 3

7 (-5) + 4 ( 3) =- 23

-35 + 12 = -23

-23 = -23

Answer:

I think you're being asked to identify the questions that are "statistical questions".

Step-by-step explanation:

so..

a). NO ( not a statistical question).

b). YES ( a statistical question).

c). NO ( not a statistical question).

d). NO ( not a statistical question).

e). YES ( a statistical question).

Hope this helps .

Answer:

85 ft^2

Step-by-step explanation:

Base = 5 x 5 = 25 ft^2

FOUR triangles   4  *   1/2 * b * h  = 4 * 1/2 * 5 * 6 = 60 ft^2

added together = 85 ft^2

We will see that the probability of x taking on a value between 75 to 90 is P = 0.5

We know that x is a continuous random variable uniformly distributed between 65 and 85.

This means that the probability that x value y in the range is such that:

1 = P(y)*(85 - 65) = P(y)*20

1/20 = P(y).

Now, the probability of x taking a value between 75 and 85 is:

P(75 to 85) = (1/20)*(85 - 75) = 10/20 = 0.5

And the probability between 85 and 90 is zero (because the maximum value that x can take is 85, so this part does not affect).

Then we conclude that the probability of x taking a value between 75 to 90 is:

P(75 to 90) = P(75 to 85) + P(85 to 90) = 0.5 + 0 = 0.5

If you want to learn more about probability, you can read:

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Answer:

Step-by-step explanation:

x + 4 = 2x + 1 -x -x 4 = 1x + 1 -1 -1 3 = 1x -- -- 1 1 3 = x

Check: 3 + 4 = 2(3) + 1 7 = 6 + 1 7 = 7

Answer:

5x7=35

Step-by-step explanation:

A tenth of an inch of water container will be 35.

Answer:

$8.95

Step-by-step explanation:

If Ari spent $35.80 for 4 posters and each of the poster price was the same therefore if we want the price for one poster we have to divide $35.80 by four to see the cost for one poster which will be $8.95. If you want to know if the price of each poster was the same you can just multiply $8.95 by 4 and you'll actually see that you got back the same money that Ari used to spend for the four posters .

Answer:

[tex]x=45 \sqrt{5}[/tex]

Step-by-step explanation:

[tex]2 \log_3x+\log_35=4\log_315[/tex]

[tex]\textsf{Apply power log law}\quad n\log_ab=\log_ab^n:[/tex]

[tex]\implies \log_3x^2+\log_35=\log_315^4[/tex]

[tex]\textsf{Apply product log law}\quad \log_ab+\log_ac=\log_abc:[/tex]

[tex]\implies \log_35x^2=\log_315^4[/tex]

[tex]\textsf{Apply equality log law}\quad \log_ab=\log_ac \implies b=c:[/tex]

[tex]\implies 5x^2=15^4[/tex]

[tex]\implies x^2=10125[/tex]

[tex]\implies x=\pm \sqrt{10125}[/tex]

[tex]\implies x=\pm \sqrt{2025 \cdot 5}[/tex]

[tex]\implies x=\pm \sqrt{2025} \sqrt{5}[/tex]

[tex]\implies x=\pm 45 \sqrt{5}[/tex]

As we cannot take logs of negative numbers,

[tex]\implies x=45 \sqrt{5}\quad \sf only[/tex]

Answer:

  add the areas of the parts

Step-by-step explanation:

The area of an unusual shape is often easily found by decomposing it into shapes that you have formulas for. Divide the shape into parts, and add the areas of those parts.

__

Alternatively, some shapes are conveniently described by "missing" parts, For example, your "plus shaped" figure may be described as an overall rectangle with rectangles removed from the corners. Then the area of the shape is found by subtracting the missing area from that of the overall rectangle.

__

As a rule, you want the parts to be non-overlapping. That way, you can add the areas of the parts without counting any area twice (or more times). If you have overlapping parts, you need to subtract the area(s) that may be counted multiple times.

__

Sometimes you can take advantage of symmetry, so that you only need to compute part of the total area, then multiply by a factor that takes the symmetry into account.

__

In the attached figure, the dimensions of rectangle A are 6 m wide by 7 m high. The dimensions of rectangle B must be found by adding the width dimensions shown across the top of the figure: 5 m +6 m +6 m = 16 m. It is marked as 4 m high. Then the total area is ...

  area of A + area of B

  = (6 m)(7 m) +(16 m)(4 m)

  = 42 m² +64 m² = 106 m²

This can also be found as the area of the 16 m by 11 m enclosing rectangle, less the two 5 m by 7 m corner cut-outs.

  (16 m)(11 m) -2(5 m)(7 m) = 176 m² -2(35 m²) = 106 m²

Answer:

X intercepts: (0,12)

Y intercepts: (-32,88)

Answer:

1/2 of (13miles) ×18

Step-by-step explanation:

Olivia Charles Reese

13miles (13miles) ×18 1/2 of(13×18)

234miles 117miles

Answer:

[tex] - 60[/tex]

Answer:

1,000,000,000

Step-by-step explanation:

Answer:

[tex]1\frac{1}{2}[/tex] or 1.5

Step-by-step explanation:

Now we know it's a dilation.  So we can use any two points.  I chose V and V'.

V: (3,6)

V': (2,4)

So how we get from 6 to 4?

[tex]4(x)=6\\x=\frac{6}{4} \\x=1.5[/tex]

You can tell it's 1.5 aswell because 4 times 1 is 4 and 4 times 0.5 is 2.  Add them to get 6.  

Therefore, the dilation factor is 1.5.

The function t(x) = (x-4)² + 3 is a quadratic function.

A quadratic function has a leading exponent of 2

This means that the highest power of a quadratic function is 2

From the list of given options, the function t(x) = (x-4)² + 3 has a leading exponent of 2

Hence, the function t(x) = (x-4)² + 3 is a quadratic function.

Read more about quadratic functions at:

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The height of the triangle is 8root3 meters.

We have given that,

A tree breaks due to a storm and the broken part bends,

So that the top of the tree touches the ground making an angle of 60 degrees with the ground.

The distance between the feet of the tree to the point where the top touches the ground is 16m.

Let the Height of the Tree =AB+AD

and given that BD=8 m

Now, when it breaks a part of it will remain perpendicular to the ground (AB) and the remaining part (AD) will make an angle of 30 degrees.

Now, in △ABD

cos(30)=BD/AD=BD=root3AD/2

AD=2(8)/root3

also in the same triangle

[tex]tan(30)=AB/BD\implies 8/\sqrt{3}[/tex]

Height of the tree=AB+AD

[tex]=\frac{16}{\sqrt{3} }+\frac{8}{\sqrt{3} } }[/tex]

[tex]=\frac{24}{\sqrt{3} } \\=8\sqrt{3}m[/tex]

Therefore the height of the triangle is 8root3.

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Answer:

500 is the answer

Step-by-step explanation:

hope it helps....

Answer:

500 and 600

Step-by-step explanation:

Round 536 to the nearest hundred. 536 is between 500 and 600. Look at the 30 in the tens place. It is below 50, so round down to 500.

Answer:

247.29 ft

Step-by-step explanation:

Need to find the opposite side, so use sine

4725sin 3 = 247.29