Vina is asked to graph this system of equations:
2x - 4y = 3
7y - 5x = 8
How many times will the lines intersect?
A. There is no way to tell without graphing the lines first.
B. The lines will intersect once, because this system has one
solution.
C. The lines will intersect infinitely many times, because they are
identical.
D. The lines will not intersect, because this system has no solutions.

9514 1404 393

Answer:

  A.  x = ±2

Step-by-step explanation:

Add 14, then take the square root.

  x^2 -14 +14 = -10 +14

  x^2 = 4

  x = ±√4

  x = ±2

Answer:

A

Step-by-step explanation:

X^2-14=-10

X^2=14-10

X^2=4

√X2=√4

X=±2

Answer:

B. 4

Step-by-step explanation:

54 - 4 = 50

50 - 4 = 46

46 - 4 = 42

42 - 4 = 38

Answer: D. -4

Step-by-step explanation: took the quiz and got it right.

Answer:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Step-by-step explanation:

Given

[tex]z = 4x + 5y[/tex]

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

Required

The maximum and minimum of z

To do this, we make use of the graphical method

See attachment for graphs of

[tex]x \ge -1[/tex]

[tex]y \le 2x +3[/tex]

[tex]y \le -1[/tex]

The corner points of the function are:

[tex](x,y) = (-1,1)[/tex]

[tex](x,y) = (-1,0)[/tex]

[tex](x,y) = (-1,-1)[/tex]

We have:

[tex]z = 4x + 5y[/tex]

Calculate z with  the above values

[tex]z = 4(-1) + 5(1) = 1[/tex]

[tex]z = 4(-1) + 5(0) = -4[/tex]

[tex]z = 4(-1) + 5(-1) = -9[/tex]

So, we have:

[tex]Max\ z = 1[/tex]

[tex]Min\ z = -9[/tex]

Answer:

√x

Step-by-step explanation:

1/(x^(-3/6)

= x^(3/6)

= x^(1/2)

= √x

I don't know how you want it solved but, I am giving u -2 I hope this helps

Answer:

Card picked=2

P(factors of 28)={1,2,4,7,14,28}

total cards=4

in percentage=4 x 20 + 20

80+20=100

Therefore 2 in percentage will be

2 x 20 + 20

=40+20=60%

Complete question is;

Do oddsmakers believe that teams who play at home will have home field advantage? Specifically, do oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games?

Two samples were randomly selected from three complete National Football League seasons (1989, 1990, and 1991). The first sample consisted of 50 games, where the favored team played in a home game, while the second sample consisted of 50 games, where the favored team played in an away game. The oddsmakers’ point spreads (which are the number of points by which the favored team is predicted to beat the weaker team) were then collected.

If µ1 and µ2 represent the mean point spread for home games and away games, respectively, which of the following is the appropriate.

A) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 < 0

B) H0: μ1 - μ2 = 0

Ha: μ1 < μ2

C) H0: μ1 - μ2 > 0

Ha: μ1 - μ2 = 0

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

E) None of the above

Answer:

D) H0: μ1 - μ2 = 0

Ha: μ1 - μ2 > 0

Step-by-step explanation:

We want to find out if oddsmakers give higher point spreads when the favored team plays home games as compared to when the favored team plays away games.

Now, since µ1 and µ2 represent the mean point spread for home games and away games, respectively;

It means we want to find out if µ1 > µ2 as the alternative hypothesis.

Thus, alternative hypothesis is;

Ha: µ1 - µ2 > 0

Meanwhile null hypothesis assumes that equal point spreads are given when the favored team plays home games as well as when the favored team plays away games.

Thus, null hypothesis is;

H0: μ1 - μ2 = 0

The only correct option is D.

Answer:

C

D

Step-by-step explanation:

Point slope form is written in

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.

Therefore the slope is 1/2 and the point is (1,4)

Answer:

156,567

Step-by-step explanation:

782,835 ÷ 5 = 156,567

Answer:

it is 165,567

Step-by-step explanation:

u divide

Answer:

becouse 4×960 will give you

3840

Perimeter = the sum of the outer sides

#1. P = (2x + 3) + (2x + 3) + (5x - 1) + (5x - 1) + (x - 7)

#2. P = 2(2x + 3) + 2(5x - 1) + (x - 7)

#3. P = 4x + 6 + 10x - 2 + x - 7

#4. P = 15x  - 3

A. Correct - equivalent to #2

B. Incorrect - does not include all of the sides

C. Correct - equivalent to #1

D. Incorrect

E. Incorrect

F. Correct - equivalent to #4

Hope this helps!

Answer:

A, C, F.

Step-by-step explanation:

Answers A, C, and F are all equal and represent the perimeter of the shape.

There are 2 sides that are (2x+3) and (5x-1) in size and 1 side that is (x-7) in size.

Answer:

[tex]{ \bf{b. \: \: {i}^{47} }}[/tex]

Step-by-step explanation:

[tex] {i}^{46} = ( {i}^{2} ) {}^{23} = - 1 \\ \\ {i}^{47} = (i)( {i}^{46} ) = ( - 1 \times i) = - i \\ \\ {i}^{48} = ( {i}^{2} ) {}^{24} = 1 \\ \\ {i}^{49} = (i)( {i}^{48}) = (1 \times i) = i[/tex]

Answer:

[tex]i^{46} = -i[/tex]

~~~~~~~~~~~~~~~~~~~

46/4 = 11 remainder 2 = [tex]-i[/tex]

47/4 = 11 remainder 3 = 1

48/4 = 11 remainder 0 =  [tex]i[/tex]

49/4 = 11 remainder 1 = -1

Step-by-step explanation:

[tex]i = \sqrt{-1} = i[/tex]  (remainder 0)

[tex]i^{2} = \sqrt{-1} * \sqrt{-1} = -1[/tex] (remainder 1)

[tex]i^{3} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * \sqrt{-1} = -i[/tex] (remainder 2)

[tex]i^{4} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}= -1 * -1 = 1\\[/tex] (remainder 3)

[tex]i^{5} = \sqrt{-1} * \sqrt{-1} * \sqrt{-1} * \sqrt{-1}* \sqrt{-1}= 1 * \sqrt{-1} = i\\[/tex] (remainder 0)

The pattern repeats every FOUR in the exponent

Answer:

-13

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

-11w - 4 = 7

3w - 10

Step 2: Solve for w

Step 3: Evaluate

Answer:

D

Step-by-step explanation:

The sides of a rhombus are congruent , then

13b - 9 = 3b + 4 ( subtract 3b from both sides )

10b - 9 = 4 ( add 9 to both sides )

10b = 13 ( divide both sides by 10 )

b = 1.3

The diagonals are perpendicular bisectors of each other , then

14a + 20 = 90 ( subtract 20 from both sides )

14a = 70 ( divide both sides by 14 )

a = 5

Thus c = a + b = 5 + 1.3 = 6.3 → D

Answer: Using width as diameter=32π Using length as diameter=72π

*I included both possibilities since I didn't see a picture of the way in which the semicircle and rectangle were joined.*

Step-by-step explanation:

In order to solve, you have to know the formula for area of a circle which is A=πr^2 (pi*radius to the 2nd power)

The problem does not give us the radius, but we know that radius is half of the diameter.

To find the diameter, we have to use the side measurement of the rectangle and divide it by 2 to find the radius.

Next, we increase the radius to the 2nd power, giving us the radius of a whole circle.

Finally, we have to divide that by 2 since it's a semi circle otherwise known as half of a circle.

I put the answer in terms of pi since that's the most accurate, but if the question specifically instructs it, you can calculate part of the irrational decimal and round to a certain place value.

Answer:

if the question wants you to round. the answer is 4.

Step-by-step explanation:

f(x)=[x]-5

where x= 8.6

substitute 8.6 for x and you have 8.6-5= 3.6= 4

Answer:

Download gauthmath it will help

Jesus loves u

Answer:

options b is correct

Does the answer help you?

Answer:

B. [tex]85[/tex]

Explanation:

This is a simple test of your knowledge about this sort of problem. When you get 2 parallel lines intersected the way you see in the picture, the lower right angle of the first intersection is equal to the upper left angle of the first line as well as the upper left and lower right angles of the second line so with that knowledge you can immediately identify that since the question gives you the measure of an angle equal to the angle you need to identify; you don't even need to do any math to find the answer for this question.

The slope is -1.

You have to find the two closest points where the line directly hits a number. For that, we have -3 in the first quadrant and -3 in the third quadrant. With this info, the line goes down 3 times and to the right 3 times,  The ratio would look like this: [tex]\frac{-3}{3}[/tex]. Divide both and you get -1. Hope that helped!

Answer:

Step-by-step explanation:

Let the coordinates of point B are (x, y).

Since the rotation is clockwise the angle measure between OA and OB is -60° (IV quadrant).

The distance between A and B is:

Since OA = OB = 15 units and AOB is 60° angle the triangle OAB is equilateral. Hence AB is same as OA and OB, so AB = 15 units.

Answer:

a) log 2 (48 ×3 ×9 )

log 2 1296

10.3

b) log 4 24 - log 4 3/4 log 4 2

log 4 36

2.58

Answer:

(6) the letter n : intersection which means the number you will find at the first bracket and has the same number at the other bracket

Answer:

(1) 256 inches

(2) 5 feet

(3) 400 inches

(4) 10 feet

Step-by-step explanation:

(1) The function that gives the height in inches of the spray of water at a distance x from the sprinkler head is given as follows;

h(x) = 160·x - 16·x²

At x = 2 feet, we have;

h(2) = 160 × 2 - 16 × 2² = 256

Therefore, the height of the spray water at a horizontal distance of 2 feet from the sprinkler head h(2) = 256 inches

(2) The x-coordinate, [tex]x_{max}[/tex], of the maximum point of a parabola given in the form, y = a·x² + b·x + c is found using the following formula;

[tex]x_{max}[/tex] = -b/(2·a)

The x-coordinate, [tex]x_{max}[/tex], of the maximum point of the given equation of the parabola, h(x) = 160·x - 16·x², (a = -16, b = 160) is therefore;

[tex]x_{max}[/tex] = -160/(2 × (-16)) = 5

Therefore, the number of feet along the way, the function will reach maximum height, [tex]x_{max}[/tex] = 5 feet

(3) The function, h(x) = 160·x - 16·x², will reach maximum height, [tex]h_{max}[/tex], at x = 5, therefore;

[tex]h_{max}[/tex] =  h(5) = 160 × 5 - 16 × 5² = 400

The maximum height of the spray, [tex]h_{max}[/tex] = 400 inches

(4) The water is at ground level where h(x) = 0, therefore;

At ground level, h(x) = 0 = 160·x - 16·x²

160·x - 16·x² = 0

∴ 16·x × (10 - x) = 0

By zero product rule, we 16·x = 0, or (10 - x)  = 0, from which we have;

x = 0, or x = 10

The water is at ground level at x = 0 and x = 10 feet, therefore, the water will hit the ground again (the second time after leaving the sprinkler head at x = 0) at x = 10 feet.

ANSWER:

the conditions are the angle a is equal to angle c and ab = bc . Hence we need to prove that the triangles is congruent to the triangle cbe. ... angle A =angle C and AB=BC.

Answer:

g(x) = 1/2 |x|

Step-by-step explanation:

Scaling f(x) means it's of the form g(x) = a|x|

From the graph, it appears to pass through the point (2, 1). By subbing in the values for this point, the equation can be found to be:

1 = a|2|

a = 1/2

Therefore, g(x) = 1/2 |x|

Answer:

C

Step-by-step explanation:

The correct answer is C

Because taking the point to be (a,b)

[tex]y - b = m(x - a) \\ \: is \: the \: \: equation \: \: of \: \: a \: line[/tex]

Answer:

[tex]=\frac{1}{8568}\ = .00011\\\ =\frac{7}{8568} = .00081[/tex]

Step-by-step explanation:

[tex]5/18\cdot \:4/17\cdot \:3/16\cdot \:2/15\cdot \:1/14=\frac{1}{8568}[/tex]