. 10(7x - 2) + 3(-7X - 8)

Answer:

Step-by-step explanation:

Given the first two numbers of a sequence as 2, 6...

If it is an arithmetic difference, the common difference will be d = 6-2 = 4

Formula for calculating nth term of an ARITHMETIC sequence Tn = a+(n-1)d

a is the first term = 2

d is the common difference = 4

n is the number if terms

Substituting the given values in the formula.

Nth term Tn = 2+(n-1)4

Tn = 2+4n-4

Tn = 4n-4+2

Tn = 4n-2

2) If the sequence us a geometric sequence

Nth term of the sequence Tn = ar^(n-1)

r is the common ratio

r is gotten by the ratio of the terms I.e

r = T2/T1

r = 6/2

r = 3

Since a = 2

Tn = 2(3)^(n-1)

Hence the nth term of the geometric sequence is Tn = 2(3)^(n-1)

3p-1=5(p-1)-2(7-2p)

Simplifying

3p + -1 = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(p + -1) + -2(7 + -2p)

Reorder the terms:

-1 + 3p = 5(-1 + p) + -2(7 + -2p)

-1 + 3p = (-1 * 5 + p * 5) + -2(7 + -2p)

-1 + 3p = (-5 + 5p) + -2(7 + -2p)

-1 + 3p = -5 + 5p + (7 * -2 + -2p * -2)

-1 + 3p = -5 + 5p + (-14 + 4p)

Reorder the terms:

-1 + 3p = -5 + -14 + 5p + 4p

Combine like terms: -5 + -14 = -19

-1 + 3p = -19 + 5p + 4p

Combine like terms: 5p + 4p = 9p

-1 + 3p = -19 + 9p

Solving

-1 + 3p = -19 + 9p

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Add '-9p' to each side of the equation.

-1 + 3p + -9p = -19 + 9p + -9p

Combine like terms: 3p + -9p = -6p

-1 + -6p = -19 + 9p + -9p

Combine like terms: 9p + -9p = 0

-1 + -6p = -19 + 0

-1 + -6p = -19

Add '1' to each side of the equation.

-1 + 1 + -6p = -19 + 1

Combine like terms: -1 + 1 = 0

0 + -6p = -19 + 1

-6p = -19 + 1

Combine like terms: -19 + 1 = -18

-6p = -18

Divide each side by '-6'.

p = 3

Simplifying

p = 3

Step-by-step explanation:

Y = -2(x+4)² + 4

= -2[x² + 8x +16] +4

= -2x² -16x -32 +4

= -2x² -16x -28

Answer:

(5, -13/2)

Step-by-step explanation:

The answer to your problem would be 8.

First, let's find the slope.

Slope = (7 - (-3)) / (2 - 0) = (7 + 3) / 2 = 10 / 2 = 5

So far our equation looks like: y = 5x + b

Leta plug one of the points into our equation to find b.

-3 = 5(0) + b

Simplify.

-3 = b

The equation is: y = 5x - 3

Answer choice B is correct.

So, we have been given the following

[tex]-2(6x -y)[/tex]

But, we have also been given heads up that [tex]x=-3[/tex], and [tex]y=4[/tex].

So, that would mean the new equation would be the following.

[tex]-2(6-3 -4)[/tex]

After we solve it our answer should be [tex]2[/tex]!

If this helps then please mark me brainliest!

Answer:

Step-by-step explanation:

Given:

Solution:

Absolute value is always positive, therefore |-22| = 22

Answer:

that is already in scientific notation

Step-by-step explanation:

if you are asking for what's the actual number, then it's 0.000678

Answer:

y is a point on a grid and z is the ending letter of the alphabet

Step-by-step explanation:

Answer:

The answer is 5 because if line WY is a bisector and is a 90 degree angle, then XY and YZ are equal. Therefore YZ = 5

Step-by-step explanation:

The gradient of the line = (change in y-coordinate)/(change in x-coordinate) . We can, of course, use this to find the equation of the line. Since the line crosses the y-axis when y = 3, the equation of this graph is y = ½x + 3 . To find the gradient of a curve, you must draw an accurate sketch of the curve.

Answer:C 1.2x 10^-6

Step-by-step explanation:

Answer:

No Solution

Step-by-step explanation:

x-4x+3x=2

0x=2

0=2 or x=2/0

Either way, no solution

Answer:

after working for at least 10 1/4 years

Step-by-step explanation:

After working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

A quadratic equation, [tex]ax^{2} +bx+c=0[/tex] is solved by

[tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

Given function [tex]f(x)=x^4-10x^2+10000[/tex]

Function that has monthly salary $20,000 will be [tex]x^4-10x^2+10000=20000[/tex]

[tex]x^4-10x^2+10000-20000=0[/tex]

[tex]x^4-10x^2-10000=0[/tex]

Now using the formula [tex]x=\frac{-b \pm \sqrt{b^2-4ac} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{10^2+40000} }{2}[/tex]

[tex]x^2=\frac{10 \pm \sqrt{40100} }{2}[/tex]

[tex]x^2=\frac{10 \pm 200.2}{2}[/tex]

[tex]x^2=5 \pm 100.1[/tex]

[tex]x^2=105.1[/tex]

[tex]x=\sqrt{105.1}[/tex]

[tex]x=10.25[/tex]

Hence, after working for at least  10 1/4 years  a project manager would be eligible for a $20,000 monthly salary.

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Answer:

(0,3)

Step-by-step explanation:

I did in Khan Academy and it was correct

Answer:

Standard Form:-w^12+4w^11

Degree: 12 degree

Leading Coefficient: -1

Step-by-step explanation:

Standard Form: Order the exponents from greatest to least.  

Degree: The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form.  There is and understood 1 before the w in the first term.

The required answers are given below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

Standard Form: Order the exponents from greatest to least. The largest exponent is the degree; the exponent in the first term, IF it is in standard form.

Leading Coefficient: The coefficient of the first term in standard form. There is an understood 1 before the w in the first term.

The answers are given as below,

Standard Form:-w¹²+4w¹¹

Degree: 12 degree

Leading Coefficient: -1

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Answer: X = 50

Step-by-step explanation:

Add 10 to both sides

2x = 100

divide by 2

x= 50

Answer:

x=50

Step-by-step explanation:

Answer:

5.5

Step-by-step explanation:

5.477

Rounded to the nearest tenth it will be

5.5

Answer:Square Root of 30 to the nearest tenth, means to calculate the square root of 30 where the answer should only have one number after the decimal point.

Here are step-by-step instructions for how to get the square root of 30 to the nearest tenth:

Step 1: Calculate

We calculate the square root of 30 to be:

√30 = 5.47722557505166

Step 2: Reduce

Reduce the tail of the answer above to two numbers after the decimal point:

5.47

Step 3: Round

Round 5.47 so you only have one digit after the decimal point to get the answer:

5.5

To check that the answer is correct, use your calculator to confirm that 5.52 is about 30.

Step-by-step explanation: I HOPE I HELPS

Step-by-step explanation:

[tex]y = ax + b \\ a = \frac{y1 - y2}{x1 - x2} = 3 \\ y = 3x - 1 \\ y = (3 \times 4) - 1 = 11 = k[/tex]

Answer:

2/7(x+4)=−6

or x+4 = -(6*7)/2

or x+4 = -21

0r x= -25

Answer:

3 in

Step-by-step explanation:

Sum of all sides of ∆ = perimeter

Given that it has a perimeter of 13 in, and the following sides: (x - 5) in, x/2 in, and 6 in, therefore:

[tex] x - 5 + \frac{x}{2} + 6 = 13 [/tex]

Solve to find the value of x

[tex] \frac{2x - 10 + x + 12}{2} = 13 [/tex]

[tex] \frac{3x + 2}{2} = 13 [/tex]

Multiply both sides by 2

[tex] \frac{3x + 2}{2}*2 = 13*2 [/tex]

[tex] 3x + 2 = 26 [/tex]

Subtract 2 from both sides

[tex] 3x + 2 - 2 = 26 - 2 [/tex]

[tex] 3x = 24 [/tex]

Divide both sides by 3

[tex] \frac{3x}{3} = \frac{24}{3} [/tex]

[tex] x = 8 [/tex]

The shortest side = (x - 5) in

Plug in the value of x

= (8 - 5) in

= 3 in

Answer:

1. true

2. true

3. false

4. false

5. true

6. false

7. fase

8. true

a = amplitude

d = shift

Just from looking at the graph, I can tell that d = -3.5

The amplitude = 1/2

We want to find the coefficients of a given function such that the graph of the function matches the given graph.

We will get:

a = -0.5

d = -3

------------------------

We start with the general function:

f(x) = a*cos(x) + d.

Let's analyze the graph

In the figure, we can see that the graph passes through the point (0, -3.5)

This means that our function evaluated in x = 0 is equal to -3.5, then we can write:

f(0) = a*cos(0) + d = -3.5

        a + d = -3.5

We also can see that the distance between a peak and a through is 1 unit, and a, the amplitude, must be (in absolute value) half of that. Also note that when x = 0 we have a local minimum, while for the normal cosine we have a local maximum at x = 0, then a must be a negative number.

Then we have that:

a = - (1/2) = -0.5

Now that we know the value of a we can replace it in the other equation to get:

a + d = -3.5

-0.5 + d = -3.5

d = -3.5 + 0.5 = -3

Then the values of a and d are:

a = -0.5

d = -3

The function is:

f(x) = -0.5*cos(x) - 3

And the graph of this can be seen at the end of the answer, where it does not match exactly because the x-scale in the image is in units of pi, while in my graph is in integers.

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Answer:

s divided by 6

Step-by-step explanation:

there's 6 ppl and there's s sandwiches

Answer:

if no discount is allowed

MP = SP = 1500

sp with vat = sp = vat amount

vat amount = vat% of sp

                    = 10% 0f 1500

                    = 150

sp with vat = sp = vat amount

                   = 1500 + 150

                  =   1650

Answer:

19.[tex]-\frac{5}{6}^{3}[/tex]

20.[tex]s^{2} *7^{3}[/tex]

21.[tex]4^{2} * b^{4}[/tex]

22. 97.2

23. 234

Step-by-step explanation:

[tex]k^{4}*m\\ 3^{4} *\frac{5}{6}\\ 81*\frac{5}{6}=97.2[/tex]

[tex](c^{3}+ d^{4})^{2} -(c+d)^3\\(-1^3+2^4)^2-(-1^3+2^3)\\-1+256+1+8\\=234[/tex]

I hope this helps.

Answer:

18 weeks

Step-by-step explanation:  

Part A:

The problem is about Pablo saving up money to buy a nintendo switch.

Part B:

The problem is asking you how many weeks it will take to have enough money for the Nintendo switch.

Part C

Equation: 40 + 15w = 310

310 - 40 = 270

270/15 = 18

18 weeks

Hopefully this helps you :)

pls mark brainlest ;)

Answer:

1.50x + 2.70y - 84 = 79.80

Explanation: I REALLY don't know if this is right, but I hope I helped you out at least a little bit.

Answer:

x + y = 42

1.50x + 2.50y = $79.80

x = 28 hot dogs

y = 14 hamburgers

Step-by-step explanation:

x = hot dogs

y = hamburgers

Equation:

x + y = 42

1.50x + 2.50y = $79.80

I used Substitution

x = 42 - y

1.50(42 - y) + 2.50y = 79.80

63 - 1.50y + 2.70y = 79.80

63 + 1.2y = 79.80

Substract 63 from both sides

1.2y = 16.8

Divide 1.2 on both sides

y = 14

x + y = 42

x + 14 = 42

x = 28

y = 14

Don't know how to explain that well, I hope this helps.

Answer:

A linear pair consists of supplementary angles

Step-by-step explanation:

Because a linear pair is 2 lines that form an 180 degree angle.

The statement that best describes a linear pair is that  A linear pair consists of supplementary angles. The correct option is B.

When the sum of two angles measures up to 180° then these angles are known as supplementary angles of each other.

for example, ∠x + ∠y = 180°, therefore, the ∠x and ∠y are the supplementary angles of each other.

If a straight line is intersected by a line, then there are two angles form on each of the sides of the considered straight line. Those two angles are two pairs of linear angles. That means, that if linear angles are aligned adjacent to each other, their exterior sides will make a straight line.

Further, since the angle at any side of a line is 180°. Therefore, the sum of these two angles will be equal to 180°.

Hence, the statement that best describes a linear pair is that  A linear pair consists of supplementary angles.

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Answer:

  a. -6

  b. -(-6) or 6

  c. -6

  d. 8 -(-8)

Step-by-step explanation:

The opposite of something is that something preceded by a minus sign (or with its minus sign removed).

a. the opposite of 6 is -6

b. the opposite of -6 is -(-6) or 6

c. negative 6 is a description of the integer -6

d. 8 minus negative 8 is 8 - (-8)