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Answer:

x=(-1+i√119)/4

AND

x=(-1-i√119)/4

Step-by-step explanation:

[tex]2x^{2} +x+15=0[/tex]

step1: identify a,b and c from the equation.

a=2

b=1

c=15

step2: use the quadratic formula.

[tex]x=\frac{-b+or- √b^{2}-4ac }{2a}[/tex]

(sub a,b and c)

[tex]x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}[/tex]

(simplify)

[tex]x=\frac{-1+or-√-119}{4}[/tex]

(write the two possible answers)

[tex]x=-\frac{1+i√119}{4}[/tex]  

AND

[tex]x=-\frac{1-i√119}{4}[/tex]

Answer:

1/3 or 0.3 (repeating decimal)

Step-by-step explanation:

The subtraction the fractions gives 1/3.

The fractions include two parts, numerator and denominator.

Numerator: It is the upper part of the fraction, that represents the sections of the fraction.

Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.

Given that are two fractions 1/2 and 1/6, we need to subtract them,

Firstly, equating the denominators,

1/2 = 6/12

1/6 = 2/12

Therefore,

1/2 - 1/6 = 6/12 - 2/12

= (6-2)/12

= 4/12

= 1/3

Hence on subtracting the fractions we get 1/3.

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Answer:

Use the figure at the right for Exercises 1-4

1) Name a pair of vertical angles.

Name a pair of adjacent angles with vertex M.

3) Name a pair of adjacent angles with vertex S.

N

4) Name a linear pair.

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

4x=8

/4   /4

divide both sides by 4

x=2

Answer:

x = 2

Step-by-step explanation:

Answer:

f(x)=x^2+9x-10

Step-by-step explanation:

Standard Form of Quadratic Function

The standard form of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

The factored form of a quadratic equation is:

[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]

Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f, and a is constant.

We know the zeros of the function are 1 and -10. The function is:

[tex]f(x)=a(x-1)(x-(-10))[/tex]

[tex]f(x)=a(x-1)(x+10)[/tex]

Operating:

[tex]f(x)=a(x^2+10x-x-10)[/tex]

Joining like terms:

[tex]f(x)=a(x^2+9x-10)[/tex]

Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:

[tex]\boxed{f(x)=x^2+9x-10}[/tex]

Answer:

b. better; high

Step-by-step explanation:

Answer:

The equation is [tex]199+49+79m=880[/tex]

Kyle has had cable for 8 months.

Step-by-step explanation:

Let m denotes number of months cable services have been used.

Initial charge for the cable box = $199

Setup fee = $49

Monthly charges for cable services = $79

Also,

Total bill over a certain number of months, m = $880

Therefore,

[tex]199+49+79m=880[/tex]

Now solve the equation.

[tex]199+49+79m=880\\248+79m=880\\79m=632\\m=\frac{632}{79}\\ m=8[/tex]

That is Kyle has had cable for 8 months.

$6.50g+$3.50=$23.00                  

Answer and Step-by-step explanation:

The equation would be y = 5x + 75

Now, plug in 1, 2, 6, and 12 for x (which represents the hours) and solve for y (which represents the price).

1 hour - $80

2 hours - $85

6 hours - $105

12 hours - $135

Answer:

45°

Step-by-step explanation:

If you walk forwards, and make a 90° turn and walk the same amount, the angle will be half of 90, which is 45.

Answer: Choice D

(2,2) is the solution to line A, but not to line B

==========================================================

Explanation:

Let's find the equation of line A

First we need the slope

m = (y2-y1)/(x2-x1)

m = (6-0)/(0-3)

m = 6/(-3)

m = -2

Since the point (0,6) is on line A, we know b = 6 is the y intercept.

The equation of line A is y = -2x+6.

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

Let's find the equation for line B

So we need the slope

m = (y2-y1)/(x2-x1)

m = (5-0)/(5-0)

m = 5/5

m = 1

The y intercept is b = 0 since the line goes through (0,0)

The equation of line B is y = 5x+0 which is the same as y = 5x.

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

Our system of equations is

[tex]\begin{cases}y = -2x+6\\y = 5x\end{cases}[/tex]

We can see that plugging x = 0 into line A's equation leads to y = 6. So (0,6) is on line A. However, the point (0,6) is not on line B because plugging x = 0 leads to y = 0.

This allows us to rule out choices A and B.

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

Let's see what happens when we plug in x = 2 to line A

y = -2x+6

y = -2*2+6

y = -4+6

y = 2

The point (2,2) is on line A

Now let's do the same for line B

y = 5x

y = 5*2

y = 10

The point (2,10) is on line B meaning that (2,2) is not on line B.

We can rule out choice C and conclude that choice D is the final answer.

Side note: Choice D should read "(2,2) is a solution" instead of "(2,2) is the solution" since there are infinitely many solutions on any given line. So another solution for example would be (0,6).

ima go with B my dude good luck

Answer:

t = 2

Step-by-step explanation:

3 times 3 = 9 and 11 minus 9 equals 2

X= 8/3 :)) hope this helps !

Answer:

Answer is b because scientific notation is a variable between 0-10 to the power of a number depending on how many digits it has.

A number from 1-10 in 238,900 miles is 2.389 so the base variable is 2.389. The decimal got moved from 238900. to the left. It moved 5 places.

It went like this;

1 left: 23890.0

2 left: 2389.00

3 left: 238.900

4 left: 23.8900

5 to the left: 2.38900

So the scientific notation is 2.389^5

Answer: It’s $15,219.20

a.k.a D at least that’s what it says on mine

Step-by-step explanation:

Hope this helps and just answered question correct on edg so yea

Answer: XY should be the answer

Step-by-step explanation: A guess I took and got right

Answer: 41 minutes

Step-by-step explanation: I just counted by 10s until I got to 57 then added 10 seconds to make it 5:07, added 1 and boom 41 minutes

The time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.

To subtract the time, follow the steps,

Lee left to go to the mall at 4:27 pm he arrived at 5:08 pm. Subtract time in the following way,

As the 8 minute is shorter than 27 minute, thus borrow 60 minute from the hour and subtract 1 from the hour. Thus,

  4 hours 68 minutes

-  4 hours 27 minutes

_________________

  0 hours 41 minutes

_________________

Thus, the time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.

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Answer:11

Step-by-step explanation:

x^2-108 =13

    +108   +108

x^2=121

2√x= √121

 x=11

Answer:

23.8. I think

Step-by-step explanation:

So we already have 2/3 parts of the line, so SQ-RS=QR=23.8. because 68.4 minus 44.6 equals 23.8. Hope this helps.

Answer:6

Step-by-step explanation:

Answer:

25/52, bcos there are 25 odd numbers from 1 to 52

Answer:

f(x)= (x - 1)^2+2 = 1

Step-by-step explanation:

Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.

y=(x−1)2+2

Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .

a = 1

h = 1

k = 2

Since the value of a is positive, the parabola opens up. Opens Up

Find the vertex ( h , k ) .

(1,2)

Find p , the distance from the vertex to the focus.

[tex]\frac{1}{4}[/tex]

( 1, [tex]\frac{9}{4}[/tex] )

Find the axis of symmetry by finding the line that passes through the vertex and the focus.

x = 1

I hope this helps.

Answer: Anywhere along the negative x axis

For example, the point could be (-1,0) or (-2,0)

All that matters is that x is negative and y = 0

Any point is on the x axis when y = 0

The negative portion of the x axis is to the left of the y axis.

Answer:

119.166667

Step-by-step explanation:

Did math on calculator.

Answer:

119.166666667

Step-by-step explanation: