Consider the equation x+4=−2x+19. Let f(x)=x+4 and g(x)=−2x+19. The graph of each function is shown. 7.04 2 At what point do the graphs intersect? Enter your answer in the box. Question 7 options:

Answer:

You got it! 9.5 per dollar

Step-by-step explanation:

Answer:

x=-8

Step-by-step explanation:

First multiply both sides by 8

-6=-[tex]\frac{7}{8}[/tex]x-13

Next, move the terms so that x is by itself

-48=-7x-104

7x=-104+48

Finally, you can solve

7x=-56

x=-8

Answer:

c) 3/12

Step-by-step explanation:

This is because if we bring 3/12 to its lowest form,

(3/3)/(12/3) = 1/4

Hope it helps :)

Step-by-step explanation:

[tex]area = \frac{1}{2} a.b \sin(C) \\ from \:cosine \: rule \\ {c}^{2} = {a}^{2} + {b}^{2} - 2a.b \cos(C) \\ 36 = 144 + 81 - (2 \times 12 \times 9) \cos(C) \\ 189 = 216 \cos(C) \\ \cos(C) = 0.875 \\ C = \cos {}^{ - 1} (0.875) \\ C = 28.96 \degree \\ area = \frac{1}{2} \times 144 \times 9 \times \sin(28.96 \degree) \\ area = 313.8 \: sq \: units[/tex]

Answer:

2/5 or 40 percent

Step-by-step explanation:

All we need to solve this problem are the total number of boys and the total number of girls. Since we already know how many boys there are (6) , let's start by finding the girls, which is marked as b. Looking at the chart, we can tell that

8 + a = b

but we don't know what a is yet. How about we find that out first? If we look vertically, we can see that

a + 4 = 5

so

a = 1.

Now, we can find b.

b = 9

To find the probability of selecting a boy, we have to divide the number of boys by the total number of people.

boys/total = 6 / 15

Simplifying, we get the answer

2/5.

Answer:

The angular velocity of the tennis ball is 10 radians per second.

Step-by-step explanation:

The tennis ball can be represented as a particle, the angular momentum ([tex]L[/tex]), in kilogram-square meter per second, of the tennis ball is described by the following formula:

[tex]L = m\cdot r^{2}\cdot \omega[/tex] (1)

Where:

[tex]m[/tex] - Mass of the tennis ball, in kilograms.

[tex]r[/tex] - Radius of gyration, in meters.

[tex]\omega[/tex] - Angular velocity, in radians per second.

If we know that [tex]m = 0.68\,kg[/tex], [tex]r = 0.02\,m[/tex] and [tex]L = 2.72\times 10^{-3}\,\frac{kg \cdot m^{2}}{s}[/tex], then the angular velocity of the tennis ball is:

[tex]\omega = \frac{L}{m\cdot r^{2}}[/tex]

[tex]\omega = \frac{2.72\times 10^{-3}\,\frac{kg\cdot m^{2}}{s} }{(0.68\,kg)\cdot (0.02\,m)^{2}}[/tex]

[tex]\omega = 10\,\frac{rad}{s}[/tex]

The angular velocity of the tennis ball is 10 radians per second.

Answer:

x2+2x−15

Step-by-step explanation:

Answer:

x^2 + 2x - 15

Step-by-step explanation:

X × X + 5x - 3x - 3 × 5 =

x^2 + 5x - 3x - 3 × 5 =

X^2 + 2x - 15

also x^2 means x to the 2nd power

Answer:

d is right broooooooooooooooo

Answer:

d

Step-by-step explanation:

5.4 is the ans ..hope it helps

Answer:

SA = 52 ft²

Step-by-step explanation:

The opposite faces of the prism are congruent , then

SA = 2(3 × 2) + 2(2 × 4) + 2(3 × 4)

     = 2(6) + 2(8) + 2(12)

     = 12 + 16 + 24

     = 52 ft²

Answer:

52

Step-by-step explanation:

Surface area = sum of faces areas

SA of a rectangular prism = 2 ( lw + wh + lh )

where l = length, w = width and h = height

The prism has the following dimensions

l = 3

h = 4

w = 2

That being said we want to plug in these dimensions into the formula

SA = 2 ( 3*4 + 4*2 + 2*3 )

3*4=12

4*2=8

2*3=6

SA = 2 ( 12 + 8 + 6 )

12 + 8 + 6 = 26

SA = 2(26)

SA = 52

Answer:

Let p be the number of pens and let n be the number of notebooks.

4 notebooks + 3 pens cost $96 so 4n + 3p = 96

2 notebooks + 2 pens cost $54 so 2n + 2p = 54

We find n and p by solving the system of linear equations:

4n + 3p = 96

2n + 2p = 54

4n + 3p = 96

4n + 4p = 108 (we multiply this by 2 to cancel out 4n in both equations)

We then subtract the two equations:

(4n + 3p) - (4n + 4p) = 96 - 108

-p = -12

p = 12

So, a pen costs 12 dollars. We can use p to find n. We substitute 12 for p in one of our earlier equations:

2n + 2p = 54

2n + 2(12) = 54

2n + 24 = 54

2n = 30

n = 15

So, a notebook costs 15 dollars and a pen costs 12. Now, we need to find the cost of 8 notebooks and 7 pens:

8n + 7p = ?

8(15) + 7(12) = ?

120 + 84 = 204.

Thus, 8 notebooks and 7 pens cost 204 dollars (why is it so expensive lol).

Answer:

204

Step-by-step explanation:

:)

Answer:

[tex]3\sqrt{85}[/tex] = EC

Step-by-step explanation:

21² + 18² = EC²

441 + 324 = EC²

765 = EC²

[tex]\sqrt{765}[/tex] = EC

Simplified: [tex]3\sqrt{85}[/tex] = EC

Hope this helps!

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Explanation:

The graph of y = 5 is the horizontal line through 5 on the y axis. Two points on this line are (0,5) and (1,5).

Similarly, the graph of y = -3 is the same idea, but the horizontal line goes through -3 this time. Two points on this line are (0,-3) and (1,-3)

Let's say we're at (0,5). Directly below this point, on the other line, is (0,-3). The midpoint of (0,5) and (0,-3) is (0,1)

The midpoint of (1,5) and (1,-3) is (1,1)

We form a horizontal line through (0,1) and (1,1). This is the locus of points equidistant from the lines y = 5 and y = -3. It's the middle line halfway between the two given lines. Think of it as the median of the highway (the two shoulders of the highway being y = 5 and y = -3).

So that's why the answer is A) 1 line

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

Side note: any time we have parallel lines like this, the locus of points equidistant from the two lines is always one single line, and it's the median/middle line as described above. This applies to diagonal parallel lines as well, and vertical parallel lines.

y = 4

Step-by-step explanation:

2x + 3y = 6. #1

2x + y = -2. #2

Subtract Eq 2 from Eq 1,

3y - y = 6 - (-2)

2y = 8

or

y = 4

Answer:

y = 4

Step-by-step explanation:

2x + 3y = 6

2x + y = -2

Let's set the second equation equal to y. This means that y will be alone on one side of the equal sign.

2x + y = -2

Subtract 2x from both sides.

y = -2x - 2

Now that we have y as an expression, plug it into the first equation.

2x + 3y = 6

2x + 3(-2x - 2) = 6

Distribute the 3 across the parentheses by multiplying.

2x - 6x - 6 = 6

Combine like terms.

-4x = 12

Divide both sides by -4.

x = -3

Now we have solved x.

To solve for y, plug x back into one of the equations.

y = -2x - 2

y = -2(-3) - 2

Multiply.

y = 6 - 2

Subtract.

y = 4

Check your answer by plugging both values back into the original equations.

2x + 3y = 6

2(-3) + 3(4) = 6

Multiply.

-6 + 12 = 6

Add.

6 = 6

Your answer is correct.

Hope this helps!

Answer:

6/10 for event A or 3/5 reduced

5/10 for event B or 1/2 reduced Hope that helps!

Answer:

6 = u

Step-by-step explanation:

54 / u = 9

We have to isolate "u" all by itself;

54 = 9*u

54 / 9 = u

6 = u

Hope this helps!

Answer:

6

Step-by-step explanation:

We need to find of u value such that , 54 divided by u = 9. Converting it into equation ,

Equation :-

→ 54/u = 9

→ 1/u = 9 × 1/54

→ 1/u = 1/6

→ u = 6

Answer:

C. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Every relation or table of values that represents a function must have exactly one range value (output) assigned or related to one domain value (input). That is to say, each x-value must not have more than one y-value assigned to it.

From the table of values given, an x-value, 8, has more than one y-value, 5 and 8, assigned to it.

Therefore, it is not a function.

The answer is:

C. No, because one x-value corresponds to two different y-values.

Answer:

c

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

Put the numbers where the variables are and do the arithmetic. Your calculator can help.

1. 6x -2y +5y = 6(10) -2(3) +5(3) = 60 -6 +15 = 69

__

2. add 16 to find x.

  x -16 = 29

  x = 45

Then do the substitution:

  2(45 +5) = 2(50) = 100

__

3. 3(4²) -4(18) = 3(16) -4(18) = 48 -72 = -24

__

4. (1/9)³ = (1/9)(1/9)(1/9) = 1/(9·9·9) = 1/729

Answer:

There are 6 options, sample space is below.

Step-by-step explanation:

The band has 2 days to pick from. For each day, they have three different options for times. 2 days x 3 times = 6 options.  Therefore, the sample space is: (usually this would be a picture, with arrows. search it )

for Tuesday: 3, 4, or 5

for Wednesday: 3, 4, or 5

Answer:

The population will get smaller.

Step-by-step explanation:

If the food decreases, then the people won’t have anything to eat, and so some will die, thus resulting in a lower population.

Answer:

D

Step-by-step explanation:

the highest real number stops at 4, which means all the sets of real number are less than 4.

Answer:

a

Step-by-step explanation:

Answer:

A.52 cm2 ihope ihelp po hehe

Answer:

1.Make the circle open

2.put the dot on 5

3. change direction

Step-by-step explanation:

A solid dot on a number line graph indicates that the given number should be included as a possible solution, whereas an open dot indicates that the given number cannot be a solution. For example, if you graph x > 7, you place an open dot at 7.

Have a nice day! :-)

Answer:

closed circle on 3 with line pointing right

Step-by-step explanation:

the number can be greater than or equal to 3 so it means that includes 3 so closed circle on 3 and then it points right towards the bigger numbers because it can be greater than 3

Answer:

[tex] \csc(570 \degree) = \frac{1}{ \sin(570 \degree) } \\ = \frac{1}{ - 0.5} \\ = - 2[/tex]

Answer:

Solution given;

<M=5x+10

<R=55

<M+<R=90°

5x+10+55=90°[is a required equation]

now solving it

5x=90-65

5x=25

x=25/5

x=5is your answer.

Their sum is 90

Solve it

Answer:A

Step-by-step explanation:

Kite flipped 90 degrees is a rhombus, the typical one at least