Which is the solution to the system of equations? y=1/3x+2 y=4/3x-5

Answer:

b

Step-by-step explanation:

i solved it in my head.

Answer:

4 cm^2

4 cm

Step-by-step explanation:

8/2 = 4

4/2 = 2

each side of the square is 2 cm

sqrt. 16 = 4

4 cm

Answer:

Step-by-step explanation:

H = V/ pie r^2

H = [tex]\frac{2200pie}{Pie 5^2}[/tex]

R= 5 because the radius is half the diameter

Pies cancel out leaving you with:

H = 2200/5^2

H = 2200/25

H = 88

Hope this helps :)

Answer:

The area of the image is 2,070.25 cm^2

Step-by-step explanation:

The first thing we do here is to scale up the square using the factor given.

Thus, for a length of 14 cm scaled up by 3.25, the new length becomes 14 * 3.25 = 45.5 cm

Mathematically, the area of the square is L^2

where L in this case is 45.5 cm

The area of the scaled up square would be 45.5 * 45.5 = 2,070.25 cm^2

Answer:

see below

Step-by-step explanation:

12(80 – x) = 816

Divide each side by 12

80-x = 816 /12

80-x = 68

Subtract 80 from each side

80-x-80 = 68-80

-x = -12

Multiply each side by -1

x = 12

James earned 80-12 = 68

Answer:

Which strategies will verify that the value for x is correct? Check all that apply.

Substitute 12 for x in the equation.

Multiply $68 by 12 months.

Step-by-step explanation:

B and C

the second and third one.

Answer:

x = 4

x = -10

Step-by-step explanation:

(x + 3)² = 49

Take the square root of both sides.

x + 3 = ±7

The equation is x + 3 = 7 or x + 3 = -7.

x + 3 = 7

Subtract 3 on both sides.

x = 4

x + 3 = -7

Subtract 3 on both sides.

x = -10

Answer:

x₁ = -10

x₂ = 4

Step-by-step explanation:

(x + 3)² = 49

x + 3 = ± 7

x + 3 = -7 → x = -10

x + 3 = 7 → x = 4

Hope this helps! :)

Answer:

4 AND 2

Step-by-step explanation:

Answer:

Hello!

______________________

This question is very easy.

2 + 2 = 4

1 + 1 = 2

Step-by-step explanation: Add.

Hope this helped you!

Answer:

a) Lower bound = 39.5

b) Lower bound = 82.75

The correct answer is 160

And u have to do the question correctly...

Cuz I told u the answer......

Hope this helps......

Answer:

Step-by-step explanation:

All but first for every single x gives single y so the second, third and fourth are function

At first for x=2 we have two y (2 or -2) so this isn't function.

Answer:

Option (1). 17

Step-by-step explanation:

Length of a segment having coordinates (x₁, y₁) and (x₂, y₂) is given by the formula,

d = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of points A and C are (4, 3) and (19, 11).

To get the length of segment AC we will substitute the coordinates in the formula,

AC = [tex]\sqrt{(19-4)^2+(11-3)^2}[/tex]

     = [tex]\sqrt{(15)^2+8^2}[/tex]

     = [tex]\sqrt{225+64}[/tex]

     = [tex]\sqrt{289}[/tex]

     = 17

Therefore, length of segment AC = 17 units.

Option (1) will be the answer.

I know you don't need this anymore but for the ones who do this is the answer.........Look at the graph and trust it. Yes, I know it says to substitute and you can following the last page on part a) Doing what they do in the tables and it will get you the same answer as if you'd just look at the graph.

The answer for the y- value at x=p IS 8. and the answer for the y-value at x=p+k IS 5. So go ahead and write that down if you haven't already!

For step2 Find the difference between the endpoints of the interval on the y-axis. The answer to your question, Is and always will be 3! The difference is 3 because you subtract 3 from 8 and you get 5.

If you didn't read clearer, I'll write it for you again, The length interval is K, it is the length between p and p+k.

For the following questions, does your answer to step 2 depend on p, well I suppose. This is why....The answer does depend on p because we are dealing with a slope. if you move up or down the slope it will not be the same.

For the question..... Is the difference between the y-values the same regardless of where the interval starts? The answer is yes!!! And No!!! But WRITE YES! Why? Because if the interval moves as a whole the difference between the y-values is the same! Try it for yourself. Move K back two x-values and the difference for the y-values will be the same, IT WILL STILL BE THREE.

Hope you understood!

And for part one the answer on part c (-2). It depends on K.

Answer:

Step-by-step explanation:

x

+

2

y

=

6

Subtract  

x

from both sides of the equation.

2

y

=

6

−

x

Divide each term by  

2

and simplify.

Tap for more steps...

y

=

3

−

x

2

Answer:

x=2y-6

Step-by-step explanation:

To solve for x, we need to have one more equation, as there are two variables; x and y. But, we can still get it to this point.

First, we need to get x on to one side.

x=-2y-6

That is all we can do from here.

If you provide another corresponding equation, we can solve for x.

Hope this provides some guidance!!

~gloriouspurpose~

Answer:

115/5 23 so 20% =23 23x4 =92

Answer:

length is 14

diagonal is 19.8

Step-by-step explanation:

To find the length of the side of the square, what we need to do is to use the height 12 in each triangle to find the length of the adjacent in each triangle and add together.

Mathematically we can find the length of this adjacent using the Pythagoras theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Applying this to each of the 2 triangles but summing the answer;

The length l is as follows;

Let’s call the adjacent fir each side of the triangle a and b but the addition being l

a^2 = 15^2 - 12^2 = 225-144 = 81

a^2 = 81

a = 9

b^2 = 13^2 -12^2

b^2 = 169-144

b^2 = 25

b = 5

l = a + b = 9 + 5 = 14

The diagonal can also be calculated using pythagoras’

d^2 = 14^2 + 14^2

d^2= 196 + 196

d^2 = 392

d = √(392)

d = 14√2 = 19.8

Answer:

[tex](A) y=1.5[/tex]

[tex](B)x=\dfrac27[/tex]

[tex](C)x=2\dfrac23[/tex]

[tex](D)x=-5.25[/tex]

Step-by-step explanation:

(A)

[tex]3y - 2 = - y + 4\\3y+y=4+2\\4y=6\\y=\dfrac64\\\\y=1.5[/tex]

(B)

[tex]5 - 4x = x + 3 + 2x\\5 - 4x = 3 +3x\\5-3=3x+4x\\7x=2\\x=\dfrac27[/tex]

(C)

[tex]-12 - 9x = - 4 - 12x\\-9x+12x=-4+12\\3x=8\\x=\dfrac83\\\\x=2\dfrac23[/tex]

(D)[tex]- x - 6 + 3x = -2x + 8x + 15[/tex]

[tex]2x-6 = 6x + 15\\2x-6x=15+6\\-4x=21\\x=\dfrac{21}{-4} \\\\x=-5.25[/tex]

Answer:

Cada perro caliente cuesta 5,500 pesos y cada hamburguesa cuesta 7,000 pesos.

Step-by-step explanation:

Sea x el precio de los perros calientes y y el precio de las hamburguesas.

Escribiendo los datos de la primera familia en forma de ecuación tenemos:

[tex]4x+3y=43,000[/tex] (4 perros calientes y 3 hamburguesas cuestan 43,000 pesos)

Escribiendo los datos de la segunda familia:

[tex]5x+y=34500[/tex] (5 perros calientes y 1 hamburguesa cuestan 34,500 pesos)

Vamos a resolver este sistema de ecuaciones por el método de suma y resta:

[tex]4x+3y=43,000\\5x+y= 34,500[/tex]

Multiplicando la segunda ecuación por -3 y sumando ambas tenemos:

[tex]4x+3y=43,000\\-15x-3y= -103,500\\\\-11x=-60,500\\x=-60,500/-11\\x= 5,500[/tex]

Por lo tanto, un perro caliente cuesta 5,500 pesos.

Ahora sustituimos este valor en nuestra segunda ecuación para encontrar el precio de las hamburguesas:

[tex]5x+y=34500\\5(5,500)+y=34,500\\27,500 +y=34,500\\y=34,500-27,500\\y=7,000[/tex]

Por lo tanto, las hamburguesas cuestan 7,000 pesos cada una

Explanation:

The vertex of a parabola is either the highest point or the lowest point, depending on how the parabola is oriented. In this case, it is the lowest point.

For the red f(x) curve, we see the vertex is (0,0)

The blue g(x) curve has its vertex at (3,1)

In general, the vertex is represented by (h,k)

For the blue curve, (h,k) = (3,1) so h = 3 and k = 1 pair up together

We will plug those values along with a = 1 into the vertex form below

y = a(x-h)^2 + k

y = 1(x-3)^2 + 1

y = (x-3)^2 + 1

The blue curve is the result of shifting the red curve 3 units to the right and 1 unit up. No vertical stretching or compressing has been applied, which is why a = 1 stays the same.

Answer:

it is a many to one function:)

Step-by-step explanation:

The statement which best describes the function F(x)=2x^2-3x+1 is it is a many to one function.

A piecewise function is a function built from pieces of different functions over different intervals. For example, we can make a piecewise function f(x) where f(x) = -9 when -9 < x ≤ -5, f(x) = 6 when -5 < x ≤ -1, and f(x) = -7 when -1 <x ≤ 9.

f(x) = x2 shows us that function "f" takes "x" and squares it. Example: with f(x) = x2: an input of 4. becomes an output of 16.

Learn more about piecewise function at https://brainly.com/question/27262465

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Answer:

t = 8; u = 14.

Step-by-step explanation:

If the two triangles are to be congruent, their side lengths and angles must be equal.

In this case, segment RQ corresponds with segment HI, and segment QS corresponds to segment IJ.

Since they are equal, we know that...

3u = u + 28

and

16t - 32 = 12t

Solve for both!

3u = u + 28

2u = 28

u = 14

16t - 32 = 12t

4t = 32

t = 8

So, t = 8 and u = 14.

Hope this helps!

Answer他媽的你你一個愚蠢的屁股妓女，你需要做你贏了他媽的作業傻瓜屁股

Step-by-step explanation:

Answer:

√3 + 1

Step-by-step explanation:

Step below are self-explanatory

Answer:

12 meters

Step-by-step explanation:

Draw a picture of the two pathways 30° apart.  Add a circle representing the illumination of the light on one of the pathways.  Draw a line from the center of the circle to the last point where it intersects the pathway without lights.

This forms a triangle.  One leg is x, the length of the pathway without lights.  Another leg is 5n, where n is an integer.  This represents how far the light is from where the pathways meet.  The third and final leg is 6, the radius of the illumination.

Use law of cosine to solve:

6² = x² + (5n)² − 2x(5n) cos 30°

36 = x² + 25n² − 5√3 xn

0 = x² − 5√3 xn + 25n² − 36

In order to have a solution, the discriminant must be greater than or equal to 0.

b² − 4ac ≥ 0

(-5√3 n)² − 4(1)(25n² − 36) ≥ 0

75n² − 100n² + 144 ≥ 0

144 − 25n² ≥ 0

144 ≥ 25n²

144/25 ≥ n²

12/5 ≥ n

So n must be an integer less than 12/5, or 2.4.  Therefore, the largest value of n is 2.  Substituting:

0 = x² − 5√3 x(2) + 25(2)² − 36

0 = x² − 10√3 x + 64

Solve with quadratic formula:

x = [ 10√3 ± √(300 − 4(1)(64)) ] / 2(1)

x = (10√3 ± √44) / 2

x = 5√3 ± √11

x ≈ 5.34 or 11.98

We want the larger value of x.  So approximately 12 meters of the pathway without lights is illuminated.

Answer:

904.32 cm^3

Step-by-step explanation:

V = (1/3)(pi)r^2h + (1/2)(4/3)(pi)r^3

V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3

V = 904.32 cm^3

The volume of the figure would be the combination of the volume of the cone and the hemisphere that is 904.32 cm^3.

Suppose that the radius of the considered right circular cone be 'r' units.

And let its height be 'h' units.

Then, its volume is given as:

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

Right circular cone is the cone in which the line joining the peak of the cone to the center of the base of the circle is perpendicular to the surface of its base.

The composite figure is made up of a cone and a half-sphere.

The radius of the half-sphere is 6 cm.

The volume of the figure would be the combination of the volume of the cone and the hemisphere.

The volume of the figure is

[tex]V = (1/3)(\pi)r^2h + (1/2)(4/3)(\pi)r^3\\V = (1/3)(3.14)(6 cm)^2(12 cm) + (1/2)(4/3)(3.14)(6 cm)^3\\V = 904.32 cm^3[/tex]

Learn more about the volume of cone here:

https://brainly.com/question/26093363

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Answer:

The p -value for the hypothesis test is 0.003.

Step-by-step explanation:

In this case, a paired t-test would be used to determine whether the drug  increases blood pressure.

The hypothesis can be defined as follows:

H₀: The drug has no effect on blood pressure, i.e. d = 0.

Hₐ: The drug increases blood pressure, i.e. d > 0.

The information provided is:

[tex]n=32\\\bar d=2.5\\S_{d}=4.8[/tex]

The test statistic is:

[tex]t=\frac{\bar d}{S_{d}/\sqrt{n}}[/tex]

  [tex]=\frac{2.5}{4.8/\sqrt{32}}\\\\=2.9463\\\\\approx 2.95[/tex]

The degrees of freedom of the test is:

[tex]df=n-1=32-1=31[/tex]

The p-value of the test is:

[tex]p-value=P(t_{31}>2.95)=0.003[/tex]

*Use a t-table.

Thus, the p -value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means. The p-value for the hypothesis test is 0.003.

A t-test is an inferential statistic that is used to see if there is a significant difference in the means of two groups that are connected in some way.

As it is given that 32(n) subjects in the study had an average change in blood pressure of 2.5([tex]\bar d[/tex]) with a standard deviation of 4.8([tex]S_d[/tex]).

Now, in order to solve the problem we need to use t-test, the test will determine whether the blood pressure increases or not under the influence of the drug.

The hypothesis for the test can be defined as:

H₀: The drug has no effect on blood pressure, therefore, d = 0.

Hₐ: The drug has increased blood pressure, therefore, d>0.

The test static is:

[tex]t = \dfrac{\bar d}{\dfrac{S_d}{\sqrt n}}\\\\\\t = \dfrac{2.5}{\dfrac{4.8}{32}} = 2.946 \approx 2.95[/tex]

Further, the degree of freedom of the test can be written as,

[tex]d_f=n-1 = 32-1=31[/tex]

Thus, the p-value of the test is:

[tex]p-value = P(t_{31} > 2.95)\\\\\text{Using the t-table}\\\\p-value = 0.003[/tex]

Hence, the p-value for the hypothesis test is 0.003.

Learn more about T-test:

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You chose the correct answer.

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

Explanation:

Lines M and L are only parallel if and only if the corresponding angles are congruent.

The angles 127 and (9x+10) degrees are corresponding angles. They are both on the same side of the transversal, and they are to the right of each parallel line.

Set the two angle expressions equal to one another. Solve for x

9x+10 = 127

9x = 127-10

9x = 117

x = 117/9

x = 13

Answer:

x=13

Step-by-step explanation:

For the lines to be parallel, the angles would be equal

127 = 9x+10

Subtract 10 from each side

127 -10 = 9x+10-10

117 = 9x

Divide each side by 9

117/9 = 9x/9

13 =x

Answer:

7.5 mL

Step-by-step explanation:

If it decays exponentially then you divide the previous number by 4 to get the next number and 30 divided by 4 is 7.5mL.

Answer:

yeah me either sorry homie I just dont get this work at all im just being there for your mental support lol

Answer:

5/18

Step-by-step explanation:

Let's say the original packaging was 1 lb of packaging for $1.

The cost was $1/lb.

Then the weight went down by 10% and the price went up by 15%.

Now 0.9 lb of packaging cost $1.15.

The new unit cost is $1.15/(0.9 lb)

The difference is

$1.15/(0.9 lb) - $1/lb =

= $1.15/(0.9 lb) - $0.9/(0.9 lb)

= $0.25/(0.9 lb)

=$25/(90 lb) = $5/(18 lb)

The price went up by 5/18.

Answer:

c

Step-by-step explanation:

area of a circle = πr²

area = A²

A =√ 12π

A = 2 √ 3π

(V.O.A) means vertically opposite angle.