In a survey tasting lemonade, one fifth of the people surveyed were under 25 years old. If 65 people were under 25, how many people were surveyed.

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:

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]

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

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:

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 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:

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:

Intersects two or more coplanar lines

Step-by-step explanation:

In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.

Answer:

A, C, and E

Explanation:

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:

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

Answer:

All you have to do is turn x-2y=6 into y=mx+b form. That would mean you need to get y by itself. Subtract x from 6. Then you have -2y=6-x. Now you have to divide both sides of the equation by -2. So then you have -2y/-2 = 6-x/-2. That turns out to y=3-1/2x Which is easier read by: y=1/2x - 3

Answer:

t = 2

Step-by-step explanation:

3 times 3 = 9 and 11 minus 9 equals 2

ima go with B my dude good luck

Answer:11

Step-by-step explanation:

x^2-108 =13

    +108   +108

x^2=121

2√x= √121

 x=11

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:

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.

Answer: XY should be the answer

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

Answer:

119.166667

Step-by-step explanation:

Did math on calculator.

Answer:

119.166666667

Step-by-step explanation:

Answer:6

Step-by-step explanation:

$6.50g+$3.50=$23.00                  

Answer:

  4) 16√3 in²

  5) 63 cm²

Step-by-step explanation:

The formula to use in these cases is ...

  A = (1/2)ab·sin(θ)

where a, b are the side lengths and θ is the angle between them.

It helps to know the trig functions of the "special" angles used here.

  sin(120°) = sin(60°) = (√3)/2

  cos(60°) = 1/2

  sin(135°) = cos(45°) = (√2)/2

__

4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...

  x = (8 in)cos(60°) = (8 in)(1/2) = 4 in

So, the bottom edge of the triangle is 12 in - 4 in = 8 in.

The area is ...

  A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²

__

5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...

  x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm

Then the base of the triangle is ...

  16√2 cm -9√2 cm = 7√2 cm

The area is then ...

  A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²

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:

Angle 6 = 91 degrees

Step-by-step explanation:

There are several ways you could use to find angle 6.

You could either find angle 5 then 6, 2, then 6, or 4 then 6 as they can all be found using the given angle with different rules.

First, we can find angle 5 using the corresponding angles rule which states that angles in the same corresponding quadrant are equal. That is angles that are in the same corresponding 'section' in their groups of angles at both intersect points. E.g. Angle 5 and 89 are corresponding angles, therefore angle 5 is equal to 89.

From here we can find angle 6 by using the rule that states that angles on a straight line add to 180. Angle 6 and angle 5 make up a straight line together which we know is 180 degrees. Therefore 180 - angle 5 = angle 6

180 - 89 = 91

Angle 6 is 91 degrees.

We also could have done this by first finding angle 2, which in on a straight line with the given angle. Therefore 180 - 189 = angle 2

Angle 2 = 91

Then used the corresponding angle rule to find angle 6. Angle 2 = Angle 6

Angle 6 = 91.

The final way we could have found it is by finding angle 4 first. The opposite angles rule states that opposite angles sharing a vertex are equal. This means that 89 and Angle 4 are equal. From there we can use the co-interior rule which states that angles in the same 'section' between parallel lines are co-interior (Angle 4 and angle 6) and are equal.

Therefore angle 4 = angle 6

Angle 6 = 91

Sorry if this answer was a bit confusing, hope it helps!

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: 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.

Learn more about the subtraction of time here;

https://brainly.com/question/16788360

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