The first term of an arithmetic sequence is 4 and the tenth term is 67.
What is the common difference? Show your work or explain your answer.

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The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

h(x) = [tex]x^4[/tex] - 3x² + x

The x-intercept is when h(x) = 0.

0 = [tex]x^4[/tex] - 3x² + x

From the graph, we see that,

The x-intercept are at x = 0, x = -1.9, x = 0.35, and x = 1.5

Now,

h(x) = [tex]x^4[/tex] - 3x² + x

h'(x) = 4x³ - 6x

h''(x) = 12x² - 6 (positive)

So,

h(x) has a minimum value.  

h'(x) = 0

4x³ - 6x = 0

4x³ = 6x

4x² = 6

x² = 6/4

x² = 3/2

x² = 1.5

x = ±√1.5

x = ±1.22

The minimum values are:

h(1.22) =  [tex]x^4[/tex] - 3x² + x = -1

h(-1.22) =  [tex]x^4[/tex] - 3x² + x = 1

The local minimum is 1.

From the graph, we see that,

The function is increasing at the interval (-1.5, 0.5) and (1, ∞).

The function is decreasing at the interval (∞, -1) and (0, 1.5).

Thus,

The x-intercept are x = 0, x = -1.9, x = 0.35, and x = 1.5.

The local minimum is 1.

Increasing intervals are (-1.5, 0.5) and (1, ∞).

Decreasing intervals are (∞, -1) and (0, 1.5).

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#SPJ5

In ∆RAM and ∆REP

Let's check ratio

[tex]\\ \sf{:}\longrightarrow \dfrac{AR}{RE}=\dfrac{4}{12}=\dfrac{1}{3}[/tex]

[tex]\\ \sf{:}\longrightarrow \dfrac{RM}{RP}=\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Hence

option B is correct

Answer:

[tex]second \: one \: is \: correct[/tex]

Answer:

arc PQ = 124°

Step-by-step explanation:

The inscribed angle PRQ is half the measure of its intercepted arc PQ, so

arc PQ = 2 × 62° = 124°

Answer:

  124°

Step-by-step explanation:

Inscribed angle PRQ is half the measure of intercepted arc PQ.

  1/2(PQ) = 62°

  PQ = 124° . . . . . . multiply by 2

Answer:

7.07

Step-by-step explanation:

Angle M is 63 degrees because all 3 angles must add to 180.  

Now use the law of sines:  

sin(90)/x = sin(63)/6.3  

Cross multiply: 6.3 sin (90) = x sin (63)  

Divide by sides by sin (63): (6.3 sin (90))/sin (63) = x  

Use a calculator: 7.07

The correct option is C. (4,7).

Given equations,

[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]

Now putting the value of x in equation 1 we get,

[tex]y=4+3\\y=7[/tex]

Hence the required solution of the above equations is (4,7).

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Answer:

400 is the number

Step-by-step explanation:

Is means equals and of means multiply

60 = 15% * W

Change to decimal form

60 = .15W

Divide by .15

60/.15 = .15W/.15

400= W

Answer:

$57.75

Step-by-step explanation:

7×33/4

231/4

57.75

Answer:

8x + 2

Step-by-step explanation:

Like terms:

6x and 2x

-3 and 5

6x + 2x = 8x

5 - 3 = 2

8x + 2

Answer:

x = 1

Step-by-step explanation:

6x - 3 + 2x + 5 = 0 <=> (6x+2x) - (3+5) = 0 <=> 8x - 8 =0 <=> 8x = 8 <=> x = 1

Answer:

no

Step-by-step explanation:

https://brainly.com/question/18232055

Answer:

Yes!

Step-by-step explanation:

Here, ratios can be rewritten by fractions.

12:6 is [tex]\frac{12}{6}[/tex] which equals to 2,

2:1 is also [tex]\frac{2}{1}[/tex] which is 2.

To get 12 from 2, you multiply by 6.

Multiply the same thing to the denominator(1), and you get 6. So:

12:6 = 2:1

Answer:

8x-4<-36+4

8x<-32

----

8

x<-4

Answer:x<-4

Step-by-step explanation:

you would have to show your work and do it step by step and and dont stress about it

Answer:

Step-by-step explanation:

C is right.

5(a + b + c + d)

when you express it it's gonna be 5a + 5b + 5c + 5d

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

Answer:

3√5

Step-by-step explanation:

Hope this helps you ......

Answer:

2nd question 4y is a coefficient

Step-by-step explanation:

4y^2 - 18y + 2

4 is the coefficient 18 is also a coefficient, because of the y, 2 is the constant. when a number has a variable, or a letter, it is a coefficient. 4y^2 is a term, 18y is a term, and 7 is a term. 3 terms with a coefficient of 4. i hope you get it right

Answer:

1665 hertz

Step-by-step explanation:

30 x 3.33 = 1 (1 meter) so 500 x 3.33 = 1665 (1 meter of movement)

Answer:

Step-by-step explanation:

Well, the opposite of a number is the same number with the opposite sign. For example, the opposite of -1 is 1.

So, say we have an equation where we're subtracting a number, for example, 2-1, which obviously equals 1. Now, if we add the opposite of 1 to 2, we get the equation 2+(-1) which still equals 1.

I hope this helps!

Step-by-step explanation:

the description is very difficult to understand with special characters and potential typing errors.

I suspect the definition is

function(x) = 32 - x²

function(-5)function(-5) is then very easily calculated.

we need to calculate function(-5) and then square the result, as function(-5)function(-5) is just a simple multiplication of the function results.

function(-5) = 32 - (-5)² = 32 - 25 = 7

so,

function(-5)function(-5) = 7 × 7 = 49

Answer:

29

Step-by-step explanation:

Well "value" of 3x^2 - 7x + 9 when x = 4 is just x plugged into the expression

3 * 4^2 - 7 * 4 + 9

3 * 16 - 28 + 9

= 29

Answer:

7/2

Step-by-step explanation:

4b+8/-2=10

4b-4=10

4b=10+4

4b=14

b=14/4

simplify

b=7/2

Answer:

A

Step-by-step explanation:

Answer: 5 inches per hour or 2.5 inches per half an hour

Step-by-step explanation:

Amount of Time Passed: 2 hours 30 minutes

Difference in Candle Height: 12.5 inches

12.5 / 2.5 = 5 inches

5 inches per hour or 2.5 inches per half an hour

If it is incorrect, please let me know.

Answer:

A

Step-by-step explanation:

A is locate in the second quadrant

The slope of the line that is perpendicular to line AB is: 1/2.

Recall:

Given:

A(-1,10)

B(5,-2)

Slope of AB:

[tex]m = \frac{-2 - 10}{5 -(-1)} = \frac{-12}{6} \\\\\mathbf{m = -2}[/tex]

The slope of the line that is perpendicular to line AB will be the negative reciprocal of the slope of AB.

Therefore, the slope of the line perpendicular to AB is: 1/2.

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[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]

Answer:

The ratio of y to x is the slope

The equation of the graph is y = 1/2x

Step-by-step explanation:

In this scenario, we see that 1/2 of x always equals y, so the y-intercept is 0. This means that the slope is equal to 1/2, and that is the ratio of y to x.

Answer:

Step-by-step explanation:

The fraction of the profit that belongs to Sheldon is ...

  Sheldon / Leonard = 2 / 5

  Sheldon / Total = 2 / (2 + 5) = 2/7

Then Sheldon's portion of the $28 profit is ...

  Sheldon's profit = 2/7 × $28 = $8

Sheldon makes $8 profit on the first item they sell.