factor the linear expression 15x - 10 using the greatest common factor of the terms.

A) 5(3x -2)
B) 5(3x - 10)
C) 5(3x + 2)
D) 15(x - 2)

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

a) One way you can try to identify the pattern is to look for the differences between the images shown, then divide those differences by 2. For example, the total number of vertical dots is 2, then 4 in patterns 2 and 4. This suggests the total number of vertical dots is equal to the pattern number..

The total number of horizontal dots is 4, then 6 in patterns 2 and 4. This suggests that the number of horizontal dots increases by 1 in each pattern. This would mean pattern 1 would have 3 total horizontal dots and 1 total vertical dot. It will look like one row of 3 dots.

Pattern 3 will have 5 total horizontal dots and 3 total vertical dots. The sequence of patterns will look like the attachment.

__

b) The total number of dots in each pattern is 2×(pattern number) +1. Then the number of dots in Pattern 7 will be 2×7 +1 = 15 dots.

9514 1404 393

Answer:

  A) 1

Step-by-step explanation:

Let the distance from A to BC be represented by y, and the distance DE be represented by x. We can write some relations using the definition of the tangent of an angle, and the double-angle formula for tangent. The double-angles are complementary

Left angles

Call the smaller angle α. Then the larger angle is 2α.

  tan(α) = x/2

  tan(2α) = 2tan(α)/(1 -tan(α)²) = 2(x/2)/(1 -(x/2)²) = 4x/(4 -x²)

Right angles

  tan(β) = x/3

  tan(2β) = 2tan(β)/(1 -tan(β)²) = 2(x/3)/(1 -(x/3)²) = 6x/(9 -x²)

__

Angles 2α and 2β are complementary, so the product of their tangents is 1.

  (4x/(4 -x²))(6x/(9 -x²)) = 1

  24x² = (4 -x²)(9 -x²) . . . . multiply by the product of denominators

  x⁴ -37x² +36 = 0 . . . . . put in standard form

  (x² -36)(x² -1) = 0 . . . . . factor

Solutions to this equation are x = ±1 and x = ±6. Only positive values less than 1.25 can possibly satisfy the geometry. Hence x = DE = 1.

The length of DE is 1.

Answer:

200 centimeters is the longest of the five.

Answer:

?

Step-by-step explanation:

Answer: so 2 +5/6 =2

Step-by-step explanation:

The reson is I’m doing this for a challenge ty

Answer:

All real values of x.

Step-by-step explanation:

f(x) = x passes the line test, as it is a simple line with a slope of 1, so by that reasoning, f(x) = x is always a function.

Answer:

Month: no

(13,33)…. Yes

Time,distance: yes

(1,2)… no

Age, shoe size: no

(x,y) yes

Step-by-step explanation:

Step-by-step explanation:

A relation is any set of ordered pairs, which can be thought of as (input, output).

A function is a relation in which no two ordered pairs have the same first component (x-values or input) and different second components (y-values or output).

First row:

Months (input) and Days (output) = not a function. The month of February has two corresponding outputs: Days of 28 and 29.

{(13, 33), (17, 25), (22, 22), (25, 17), (33, 17)} = this relation is a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Plot of Distance (mi) vs. Time (h): the graph represents a function. Each input value (x-coordinate) corresponds to exactly one output value (y-coordinate).

Second row:

{(1, 2), (5, 2), (5, 4), (7, 6), (11, 6), (11, 8)}: this relation is not a function. The input value of 5 has two corresponding output values: 2 and 4. The same goes with the input value of 11, which has two output values of 6 and 8.

Table of Age (x) and Shoe Size (y): does not represent a function. The x = 15 has two corresponding y-values: 10 and 10.5.

Diagram of x and y (bottom-left corner): this relation represents a function. Each input value corresponds to exactly one output value.

Please mark my answers as the Brainliest if you find this helpful :)

Answer: total sum of 180°.

Step-by-step explanation:

Answer:

there is not a common factor

Step-by-step explanation:

Hello there!

Another way to write 4^6 is 4×4×4×4×4×4.

Because 4^6 means 4 times 4 times 4 times 4 times 4 times 4.

I hope this helps you!

~Just a joyful teen

[tex]*SilentNature*[/tex]

[tex](GraceRosalia)[/tex]

Answer:

4,000,000

is this powers of ten? plz tell me

Answer:

3.......................

Answer:1

Add the numbers

3

0

+

5

−

30+5−s

3

5

−

35−s

2

Rearrange terms

Solution

−

+

3

5

Step-by-step explanation:

Answer:

[tex] \frac{ {6}^{7} }{ {6}^{3} } = {6}^{7 - 3} = {6}^{4} [/tex]

Answer:

a. whole number, integer, rational

b. integer, rational

c. integer, rational

d. rational

Step-by-step explanation:

hope it helps

Answer:

steps below

Step-by-step explanation:

10 = -2.5 + ((0.02*RL + 2.5) / 625)*(625+500)

0.02*RL + 2.5 = (10+2.5)*625 / (625+500)

                         = 12.5*625 / 1125

                         =6.9444444

RL = (6.9444444 - 2.5) / 0.02

     = 4.44444... / 0.02

     = 222.22222 ....

Step-by-step explanation:

x. y=3x². y=3^x

0. 0. 1

1. 3 3

2. 12. 9.

hope this helps you. Just put the value of x in the equations of y.

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Simplification :

Answer:

-16

Step-by-step explanation:

Answer:

f÷g=2x+5x+2=7x+2

x=3

7×3+2=21+2=23

The value of  (f + g)(x) when x = 3, if f(x) = 2x and g(x) = 5x + 2, is 23.

The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).

Given:

f(x) = 2x and g(x) = 5x + 2

Calculate  (f + g)(x)  as shown below,

f(x) + g(x) = 2x + 5x +2

f(x) + g(x) = 7x + 2

Put x = 3

f(3) + g(3) = 7 × 3 + 2

f(3) + g(3) = 23

To know more about function:

https://brainly.com/question/5975436

#SPJ2

Answer:

x = 1 and 7

Step-by-step explanation:

I GOTCHU!

x-4 = 3, no matter what

x can be 1 or 7!

Let y represent the number of feet and x represent the number of minutes.  Convert 22 1/2 to decimal form: 22.5

y = -22.5x

Plug in -315 for y

-315 = -22.5x

divide both sides by -22.5

14 = x

It will take 14 minutes.

Work Shown:

P(A or B) = P(A) + P(B)

P(A or B) = 0.47 + 0.30

P(A or B) = 0.77

Notes:

Answer:

P(A or B) = 0.77

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

The points are:

See attached

Refer to the attachment

Answer:

[tex]x=\frac{k+c}{4}[/tex]

Step-by-step explanation:

Answer:

13/20

Step-by-step explanation:

0.65 = 65/100

both are multiples of 5, so simplify:

65/100 = 13/20

-Chetan K

9514 1404 393

Answer:

  5x +y = 20

Step-by-step explanation:

The equation of the parallel line will have the same x- and y-coefficients. The constant will be adjusted to make the equation true at the given point.

  5x +y = 5(3) +(5) = 20

The parallel line is ...

  5x +y = 20

Answer:

43

Step-by-step explanation:

y = 12.60 + 0.64x

Step-by-step explanation:

y = $12.60 + $0.64(x)

y = 12.60 + 0.64x