Question 3(Multiple Choice Worth 2 points)
Find the indicated limit, if it exists.
5x - 8 x < 0
lim f(x), f(x) =
0
|-4-xl x20
-4
0-12
-8
The limit does not exist.

Answer: They sold 104 sodas and 52 hotdogs

Step-by-step explanation: If we represent sodas as x and hotdogs as y then x+y=156. There is twice as many sodas as hotdogs so x=2y. We can then substitute x for 2y so the equation would be 2y+y=156 or 3y=156. We divide both by three and get y=52 we plug that back in to the equation x=2y and we get x=104. We then check to make sure it is correct and get 104+52=156 and 104/2=52. Hope this helps.

y=4x-9

y=x-3

-4x + y = -9

-x +y = -3              //-1

-4x + y = -9

x - y = 3

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

-3x = -6

x = 2

y = 2-3

y = -1

Answer:

(2, -1)

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define systems

y = 4x - 9

y = x - 3

Step 2: Solve for x

Step 3: Solve for y

The parallel lines are r and s.

Parallel lines are those lines that are equidistance from each other and never intersect each other.

Given that;

There are 4 lines ae shown in figure.

Now,

Since, There are 4 lines ae shown in figure.

We know that,

Parallel lines are those lines that are equidistance from each other and never intersect each other.

And, Here p and s are intersect at a point.

Lines q and r are intersect at a point.

Lines p and r are intersect at a point.

And, Lines r and s are not intersect at any point and equidistance from each other.

Thus, The lines r and s are parallel lines.

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Answer:

$64

Step-by-step explanation:

10 percent of 80 dollars is 8 dollars, and 20 percent is 16 dollars, now subtract 16 from 80 dollars and you will get 64 dollars

Answer:

$64

Step-by-step explanation:

Answer:

Expected mean = 23.2159

Variance = 15.89

Step-by-step explanation:

Given that :

Number of kindergarten students (X) :

21 + 24 + 17 + 28 = 90

P(X):

21/ 90 = 0.233

24/90 = 0.2667

17/90 = 0.1889

28/90 = 0.3111

X : ____ 21 ____24 _____ 17 ______ 28

P(x) : _ 0.233 _ 0.2667 __ 0.1889 __ 0.3111

E(X) = Σ[(p)*p(x)]

(21 * 0.233) + (24 * 0.2667) + (17 * 0.1889) + (28 * 0.3111) = 23.2159

Var(X) : Σ(x²*p(x)) - E(x)²

x² * p(x) = (21^2 * 0.233) + (24^2 * 0.2667) + (17^2 * 0.1889) + (28^2 * 0.3111) - 23.2159^2

554.8667 - 538.97801281

= 15.88868719

= 15.89

Answer:

y = x - 5

Step-by-step explanation:

Answer:

y=4x+6

4x=-y+6

x=(-y+6)/4

then

Step-by-step explanation:

[tex]{g(x)}^{ - 1} = \frac{x - 6}{4} [/tex]

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

Explanation:

This is the only point in the shaded region. The other points are either on the boundary line or outside the shaded region. Points on the boundary do not count because of the dashed line. The dashed line is due to no presence of an "or equal to" as part of the inequality sign.

See the diagram below.

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

A nonvisual approach will have you plug each of the coordinates into the given inequality.

For instance, choice A has x = 0 and y = 2 pair up which plug in to get

y < (-2/3)x + 2

2 < (-2/3)*0 + 2

2 < 2

which is false, so that's why choice A is not the answer. You should find that choices B and D are false too. Only choice C is true because

y < (-2/3)x + 2

0 < (-2/3)*0 + 2

0 < 2

which confirms the answer we got when we used the visual approach.

Answer:

36:90

Step-by-step explanation:

trust me and make me brainliest please!!

Answer:

Trump=90, Joel=36

Step-by-step explanation:

2x+5x=126

7x=126

x=18

18 times 2=36

18 times 5=90

Answer:

b

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

4 in hundreds (400)

3 in ones (3)

2 in tenths (.2)

9 in hundredths (.09)

Answer:

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.

Step-by-step explanation:

The question involves mixed fractions. Mixed fractions are first converted into proper fractions and then any operation can be performed on them.

Given

Distance of first walk = [tex]3\frac{2}{5}[/tex] of a mile

Distance of second walk = 5/7

In order to find how much he walked altogether, we have to find the sum of both fractions.

[tex]Total\ distance = 3\frac{2}{5}+\frac{5}{7}\\= \frac{17}{5}+\frac{5}{7}\\=\frac{17*7}{5*7} + \frac{5*5}{7*5}\\=\frac{119}{35} + \frac{25}{35}\\=\frac{119+25}{35}\\=\frac{144}{35}\\=4\frac{4}{35}[/tex]

Hence,

Altogether James walked [tex]4\frac{4}{35}[/tex] miles.

Answer: The X =7

Step-by-step explanation:

So by simplifying both sides of the equation, then isolating the variable you get the answer and find the value of x Hope this Helps

Answer:

The points on the perpendicular bisector of a side of a triangle are equidistant from the vertices of the side it bisects.

Step-by-step explanation:

It is the last option. The perpendicular bisector theorem states that if  a point lies on  the bisector of a segment it is equidistant from the endpoints.

Meaning

If a perpendicular bisector is a line of the side of the triangle , it bisects the sides forming two right angles .

The first three choices are incorrect because

1) the figure shows a triangle bisected into two triangles and option 1 tells about 1 isosceles triangle.

2) The base angles of any triangle can be different or same .

3) the three perpendicular bisectors meet at a point called the circumeter. We have 1 perpendicual bisector which is dividing the triangle into two equal triangles.

The statement that John can use the figure given to prove is that: D. The points on the perpendicular bisector (CD) of a side (AB) of a triangle (triangle ADB) are equidistant from the vertices (<A and <B) of the side it bisects.

Recall:

From the triangle in the image drawn by John, it means that since CD a perpendicular bisector of side AB, it means that the distance from point D to vertex A and the distance from point D to vertex B are equal.

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Answer:The triangle is acute

Step-by-step explanation:

Answer:

acute

Step-by-step explanation:

Answer:

9/15/19

Step-by-step explanation:

Answer:

66.7

Step-by-step explanation:

hope this helps

Answer:

40 is 60% of 66.7

Step-by-step explanation:

By using the bowtie method, you can check as 40 multiplied by 100 equals 4,000. Then divide 4,000 by 60 to get 66.66666. Since you round to the nearest tenth, it'll be 66.7

hope this helps! =)

Answer:

the answer is 3600

Step-by-step explanation:

90x40=3600

Answer:

3600 seats

Step-by-step explanation:

90 × 40 = 3600

3600 seats

Answer:

The correct answer is B) 18(cos(150)+isin(150))

Step-by-step explanation:

Hope this helps!

Answer:

y=-5

Step-by-step explanation:

Equation of the line

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

-5=b

The equation of the line is:

y=-5

Answer:

It's A or B but I think B

Step-by-step explanation:

Answer:

Okay

Step-by-step explanation:

Since it's a parallelogram, the adjacent angles on the same side is complimentary. Meaning they add up to get 180°.

So,

12x° + 8x° = 180°

20x°= 180°

x°= 180/20

x°= 9°

Hope you understand. Thank you

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

Explanation:

For any rectangle, the diagonals are always the same length. We can use congruent triangles to prove this.

This means AC = BD.

Also, the diagonals of a rectangle cut each other in half (bisect). This indicates the following two equations

We'll use that second equation along with BP = -2x+23 and DP = 3y-6 to form the equation -2x+23 = 3y-6. This will be used later.

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

By the segment addition postulate, we know that

BP+DP = BD

(-2x+23)+(3y-6) = BD

BD = -2x+3y+17

Since the diagonals are equal, we also know that AC = -2x+3y+17

We are given that AC = 2x+4

Equating the two right hand sides leads to the equation 2x+4 = -2x+3y+17

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

The conclusion of each the last two sections was the following two equations

We have two equations and two unknowns. We have enough info to be able to find x and y.

Let's isolate 3y in the first equation

-2x+23 = 3y-6

3y-6 = -2x+23

3y = -2x+23+6

3y = -2x+29

Then we can plug this into the second equation

2x+4 = -2x+3y+17

2x+4 = -2x+(3y)+17

2x+4 = -2x+(-2x+29)+17 .... replace 3y with -2x+29

Now solve for x

2x+4 = -2x+(-2x+29)+17

2x+4 = -2x-2x+29+17

2x+4 = -4x+46

2x+4x = 46-4

6x = 42

x = 42/6

x = 7

We then use this to find y

3y = -2x+29

3y = -2(7)+29

3y = -14+29

3y = 15

y = 15/3

y = 5

Answer:

I used the method of replacement on the sistem of equations.

The final answer I got was y=5

Answer:

Hi if you are simply looking to estimate 26x22 then you could round each number to get 30x20 and that would make 600 your estimate! Hope this helps!

Answer:

Vamos a resolver la ecuación paso a paso.

32x+4=642x−1

Step-by-step explanation:

Resolver el exponente.

32x+4=642x−1

log(32x+4)=log(642x−1)(Sacar el logaritmo de ambos lados.)

(x+4)*(log(32))=(2x−1)*(log(64))

x+4=(

log(64)

log(32)

)*(2x−1)

x+4=1.2*(2x−1)

x+4=2.4x−1.2(Simplificar ambos lados de la ecuación)

x+4−2.4x=2.4x−1.2−2.4x(Restar 2.4x a ambos lados)

−1.4x+4=−1.2

−1.4x+4−4=−1.2−4(Restar 4 a ambos lados)

−1.4x=−5.2

−1.4x

−1.4

=

−5.2

−1.4

(Dividir ambos lados por -1.4)

x=3.714286

Solución:

x=3.714286

Answer:

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