How does the graph of f(x) = 5
cos 1/2 X

Answer:

.5 m

Step-by-step explanation:

You can use maximum possible error to calculate absolute error

Maximum possible error of is half the unit of measure

This means it is ±0.5 meters

In this case, you find the place value the measurement 10 meters is rounded to .This measurement was measured to the nearest meter, thus the measuring unit is 1 meter.

Here you use the maximum possible error as the absolute error.

This means the measurement is 10 ± .5

Answer:

B'(-5,-6)

Step-by-step explanation:

The mapping for 180° clockwise rotation about the origin is:

[tex](x,y)\to (-x,-y)[/tex]

The find the image of B(5,6), we plug in x=5 and y=6 into the rule.

[tex](5,6)\to (-5,-6)[/tex]

Therefore the coordinates of B' are (-5,-6).

Point B with coordinates (5, 6) will have coordinates (-5, -6) after a 180° clockwise rotation about the origin.

Triangle ABC has coordinates A(2, 4), B(5, 6), and C(1, 4). If the triangle is rotated 180° clockwise about the origin, we need to find the coordinates of B'.

To rotate a point (x, y) 180° about the origin, we can multiply the coordinates by -1. So, the coordinates of B' after rotation will be (-5, -6).

Answer:

Step-by-step explanation:

The given question is that the volume of a cube depends on the length of its sides.This can be written in function notation  as v(s). What is the best interpretation of v(3)=27.

Solution:

According to the question the volume of a cube depends on the length of its sides. According to the statement we will apply the formula of volume of a cube.

V(s)=s³

In this question we have given s=3ft.

So, we will put the value of 's' in the formula.

V(s)=s³

V(3)=3³

Multiply 3 three times to get the answer.

V(3)=3*3*3

V(3)=27 ft³

This means that the cube has a volume of 27ft³ with the length of its sides 3ft....

Answer:

A

n=27, n+2=29, n+4=31

The correct option is A: n + n + 2 + n + 4 = 87; n -27, n + 2 - 29, n + 4 - 31.

Let's denote the three consecutive odd integers as n, n + 2, and n + 4. The sum of these integers is given as 87.

The correct equation to represent this situation is:

n + (n + 2) + (n + 4) = 87

Now let's solve for n:

3n + 6 = 87

Subtract 6 from both sides:

3n = 81

Divide both sides by 3:

n = 27

n + (n + 2) + (n + 4) = 87

27 + 29 + 31 = 87

The three consecutive odd integers are 27, 29, and 31.

Answer:

y = - 0.5x + 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (4, 2) ← 2 points on the line

m = [tex]\frac{2-4}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - 0.5

Note the line crosses the y- axis at (0, 4) ⇒ c = 4

y = - 0.5x + 4 ← equation of boundary line

Answer:

y = -0.5 x + 4.

Step-by-step explanation:

Slope-intercept form of the equation of a line on a Cartesian Plane:

[tex]y = mx + b[/tex].

[tex]m[/tex] is the slope of the line.

If two different points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] on the line are given, the slope of the line will equal

[tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex].

For this line, the two points are:

As a result,

[tex]\displaystyle m = \frac{2 - 4}{4 - 0} = - \frac{1}{2}[/tex].

[tex]b[/tex] is the [tex]y[/tex]-coordinate (the second coordinate) of the point at the intersection of the line and the [tex]y[/tex]-axis (the vertical axis.) The [tex]x[/tex]-coordinate (the first coordinate) of that point shall equals [tex]0[/tex]. For this line, the coordinates of the intersection is [tex](0, 4)[/tex]. As a result, [tex]b = 4[/tex].

The slope-intercept form of the equation of this line will thus be

[tex]\displaystyle y = -\frac{1}{2}x + 4[/tex].

Answer: B. 20/30

Step-by-step explanation: 20/30 simplified to 2/3. Multiply each number by 2 to get 4/6. 4/6 is not the same number as 5/6.

Answer:

B. 20/30

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Reminder:  A function returns ONLY ONE y value for each input value.  

We immediately discard possible answer A, since 2 points have input 1 with different outputs.

Same for B:  discard this.

Same for C:  discard this.

D is a function.  All of the inputs are unique (no duplication).

Answer: [tex]\frac{3}{8}x-\frac{41}{5}[/tex] or  [tex]\frac{3}{8}x-8\ \frac{1}{5}[/tex]

Step-by-step explanation:

Given the following expression:

[tex]\frac{3}{4}(\frac{1}{2}x-12)+\frac{4}{5}[/tex]

You can follow these steps in order to simplify it:

1.  You need to apply Distributive property:

[tex]=\frac{3}{8}x-9+\frac{4}{5}[/tex]

2. And now you must add the like terms. Then:

[tex]=\frac{3}{8}x-\frac{41}{5}[/tex]

Therefore you get the following answer:

[tex]\frac{3}{8}x-\frac{41}{5}[/tex] or  [tex]\frac{3}{8}x-8\ \frac{1}{5}[/tex]

Answer:

125

Step-by-step explanation:

50 x 150% = 75

75 + 50 = 125

Answer:

125

Step-by-step explanation:

50 × 150% = 50 × 1.5 = 75

75 + 50 = 125

125 sofas is the answer

Answer:

D. Taylor correctly found the distance between –4 and 45, but this number represents the total distance the team moved in both directions, not the team’s total gain.

Step-by-step explanation:

The team only ended up gaining the 45 yards on the second play and had gained -4 on the first play.  45-4≠49, but the total distance between -4 and 45 is 49.

Answer:

D.

Step-by-step explanation:

Answer:

My man above in Correct

Step-by-step explanation:

Answer:

x+3 is a factor of P

Step-by-step explanation:

By the factor theorem:

P(a)=0 <-> x-a is a factor of P.

You have P(-3)=0.

This implies x-(-3) is a factor of P.

Note: x-(-3)=x+3.

Answer:

[tex]b/a\ hours[/tex]

Step-by-step explanation:

we know that

Betsy can clean a/b of the house in an hour

The whole house (100%) correspond to the number 1

so

using proportion

Find out how long will it take her to clean the whole house

[tex]\frac{(a/b)}{1}=\frac{1}{x} \\ \\x=1/(a/b)\\ \\x=b/a\ hours[/tex]

Answer:

Yes, no two ordered pairs in this list have the same first coordinate

Step-by-step explanation:

we know that

A function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

That means that there can be only one ordered pair with the same value of x.

therefore

In this problem F is a function, because all the ordered pairs of the list don't have the same first coordinate

Answer:

k= - 2.5

Step-by-step explanation:

If the graph is the attached picture then according to this:

The graph is in V- shape. So if the corners of the graph are not at (0,0) than there must be a constant.

k is the constant which means that it is the amount the function is vertically shifted. The graph is shifted 2.5 units down, therefore the value of k is -2.5.

Thus option 1 is correct....

Answer:

5y - 4x = 5. This gives you your points with a slope of 4/5

Answer:

[tex]y=\frac{4}{5}x+1[/tex]

Step-by-step explanation:

We are given the slope, and the y-intercept. So we can use the slope-intercept equation. Which is as follows:

[tex]y=mx+b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of [tex]y[/tex] when [tex]x=0[/tex]).

The information that we have is that the slope of the line is:

[tex]m=\frac{4}{5}[/tex]

and that the line crosses the y-axis at (0, 1).

From this point we can find the y-intercept [tex]b[/tex], because b is the value of [tex]y[/tex] when [tex]x=0[/tex].

And since the line passes through (0, 1) when [tex]x = 0[/tex], [tex]y =1[/tex]. Thus, the y-intercept is:

[tex]b=1[/tex]

substituting the values of the slope and the y-intercept into the equation:

[tex]y=mx+b\\y=\frac{4}{5}x+1[/tex]

the answer is:   [tex]y=\frac{4}{5}x+1[/tex]

Answer:

True

Step-by-step explanation:

Answer:

The answer is false.

Step-by-step explanation:

Given line segments are :

AC = 9

CB = 8

AB = 17

As per the triangle inequality theorem the sum of any 2 sides should be greater than the third side. This should be true to all the three combinations.

[tex]AC+CB>AB[/tex] => [tex]9+8>17[/tex] => [tex]17>17[/tex] (not true)

[tex]AC+AB>CB[/tex] => [tex]9+17>8[/tex] => [tex]26>8[/tex] ( true)

[tex]AB+CB>AC[/tex] => [tex]17+8>9[/tex] => [tex]25>9[/tex] (true)

As we can see only two conditions are fulfilled not the third one, so the triangle cannot be formed.

The answer is false.

Answer:

OB. (f+g)(x) = x^2-2x-13

Step-by-step explanation:

Given

f(x) = 2x-5

and

g(x) = x^2-4x-8

We have to find (f+g)(x)

So,

(f+g)(x) = f(x) + g(x)

= 2x-5 + (x^2-4x-8)

= 2x-5+x^2-4x-8

= x^2+2x-4x-5-8

=x^2-2x-13

Therefore, Option B is correct ..

Answer:

[tex]\large\boxed{x=-\dfrac{8}{3}\ or\ x=\dfrac{7}{2}}[/tex]

Step-by-step explanation:

[tex]6x^2-5x=56\qquad\text{subtract 56 from both sides}\\\\6x^2-5x-56=0\\\\6x^2+16x-21x-56=0\\\\2x(3x+8)-7(3x+8)=0\\\\(3x+8)(2x-7)=0\iff 3x+8=0\ \vee\ 2x-7=0\\\\3x+8=0\qquad\text{subtract 8 from both sides}\\3x=-8\qquad\text{divide both sides by 3}\\\boxed{x=-\dfrac{8}{3}}\\\\2x-7=0\qquad\text{add 7 to both sides}\\2x=7\qquad\text{divide both sides by 2}\\\boxed{x=\dfrac{7}{2}}[/tex]

Answer:

D is correct

Step-by-step explanation:

Step 1 : Find equation of function A in y = mx + c

2 more than 5 times x

f(x) = 2 + 5x or y = 5x + 2

Step 2 : Identify slope and y-intercept of function A

y = mx + c

y = 2 + 5x

Slope = m = 5

Y-intercept = c = 2

Step 3 : Find the equation of function B in y = mx + c

From my understanding, the number given in the question are coordinates

(-1, 2) , (0, 5) , (1, 8)

Slope = y2-y1/x2-x1

Lets take two coordinates : (-1, 2) , (0, 5)

Slope = 5-2/0-(-1)

Slope = 3/1 = 3

For y-intercept

Lets take (1, 8)

y = mx + c

8 = 3(1) + c

c = 5

The equation is f(x) = 3x + 5 or y = 3x + 5

Step 4 : Lets write both equations with their slope and y-intercept and check with the statements

y = 5x + 2

y = 3x + 5

A) Their slopes are equal but y-intercepts are not equal. Incorrect

B) Their slopes are not equal but y-intercepts are equal. Incorrect

C) Both slopes and y-intercepts are equal. Incorrect

D) Neither slopes nor y-intercepts are equal. Correct

!!

Answer: x^3 + 1x^2 - 18x - 8

Step-by-step explanation: Using the box method, we get the values x^3, 5x^2, 4x^2, 20x, 2x, and 8. Then you add the like terms to get your final answer.

lol my diagram got glitched out when uploading, sorry if its hard to understand

ANSWER

[tex]{j}^{16} [/tex]

EXPLANATION

The given expression is

[tex]( {j}^{ - 8} )^{ - 2} [/tex]

To simplify this expression, we use the law of exponents.

Recall that:

[tex] {(a}^{m} )^{n} = {a}^{mn} [/tex]

We need to multiply the exponents to get:

[tex]( {j}^{ - 8} )^{ - 2} = {j}^{ - 8 \times - 2} [/tex]

[tex]( {j}^{ - 8} )^{ - 2} = {j}^{16} [/tex]

Therefore after simplification, Clyde got:

[tex]{j}^{16} [/tex]

Answer:

Clyde should have applied the power of a power rule and multiplied the exponents instead of adding them. The simplified form should be j to the 16th power.

Step-by-step explanation:

The exponents should be multiplied.

The simplified form should be j^16

Answer:

A. The function is linear and is growing by equal differences over equal intervals.

Answer:

A. The function is linear and is growing by equal differences over equal intervals.

Step-by-step explanation:

As you can see in the graph, the function is linear since if draw a line that conects the dots, the graph would turnout linear, and as you can see it is growing 100 orders every 2 weeks, so it is growing by equal differences, over equal intervals.

Answer:

Step-by-step explanation:

f(x)=x²+2x−5 and g(x)=2x+4

(f⋅g)(x) = (x²+2x−5)(2x+4) = 2x^3 +4x² -10x +4x²+8x-20

(f⋅g)(x) = 2x^3+8x² -2x -20

For this case we have the following functions:

[tex]f (x) = x ^ 2 + 2x-5\\g (x) = 2x + 4[/tex]

We must find [tex](f * g) (x)[/tex]. By definition we have to:

[tex](f * g) (x) = f (x) * g (x)[/tex]

So:

[tex](f * g) (x) = (x ^ 2 + 2x-5) (2x + 4)[/tex]

Applying distributive property we have:

[tex](f * g) (x) = 2x ^ 3 + 4x ^ 2 + 4x ^ 2 + 8x-10x-20[/tex]

We add similar terms:

[tex](f * g) (x) = 2x ^ 3 + 8x ^ 2-2x-20[/tex]

Answer:

[tex](f * g) (x) = 2x ^ 3 + 8x ^ 2-2x-20[/tex]

Answer:

There are several ways to make 380 with whole numbers. For example:

Answer:

2¹⁵x¹⁵ (2nd option)

Step-by-step explanation:

When you expand (2x+10y)¹⁵ you would get:

32,768x¹⁵ + 2,457,600x¹⁴y + 86,016,000x¹³y² + 1,863,680,000x¹²y³+

27,955,200,000x¹¹y⁴+307,507,200,000x¹⁰y⁵ + 307,507,200,000x¹⁰y⁵ + ... so on and so forth.

Since you are not interested in anything else but the first term, observe that the first term is:

32,768x¹⁵

That is equal to: 2¹⁵x¹⁵

What happened there is you need to distribute the exponent to the coefficient of the term as well, so you need to distribute it to 2 as well.

A: decreased

B: increased

C: increased

D: decreased

E: decreased

F: increased

Answer:

∵ Change = final value - initial value,

If change > 0, then the value is increased,

if change < 0, then the value is decreased,

a. 45° F to -10° F,

Change = -10° F - 45° F = -55° F < 0° F,

Thus, temperature is decreased,

b. 35° C to 80° F

∵ 35° C = 95° F  ( by the formula (°C × 9/5) + 32 = °F )

Change = 80° F - 95° F = -5° F < 0° F,

Thus, temperature is decreased,

c. -19° C to 49° C,

Change = 49° C - (-19)° C = 68° C > 0° C,

Thus, temperature is increased,

d. 137° C to 0° C,

Change = 0° C - 137° C = -137° C < 0° C,

Thus, temperature is decreased,

e. 5° C to 19° F,

∵ 5°C = 41°F

Change = 19° F - 41° F = -22° F < 0° F,

Thus, temperature is decreased,

f. 68° F to 29° C,

∵ 29°C = 84.2°F

Change = 84.2°F - 68° F = 16.2° F > 0° F,

Thus, temperature is increased.

Answer:

24.4

Step-by-step explanation:

16.667 + 7.66 becomes 16.7 + 7.7, which, in turn, is 24.4

Answer:

24.4

Step-by-step explanation:

The nearest tenth is the first decimal place.  We look at the second decimal place.  If it is 5 or above we round up

16.667 to the nearest tenth = 16.7

7.66 to the nearest tenth = 7.7

16.7 + 7.7 = 24.4