What is the solution to the system of equations?
x-2y = 19
x + 3y = 14
(1.-17) (17.-1)
(-17, 1)
(-1.17)

(a).  From the graph the x estimates of the turning points are

-1.8 and 1.1.

(b).  The solutions are where the graph crosses the x axis .. They are:

x = -3, 0 and 2.

A polynomial is defined as the sum of the same variables having different powers.

Here we have the two third-degree polynomials

x³+x²-6x=0

For this the value of the variable at the turning point of the graph will be

at x=-1.8 and 1.1.

The another equation is :-

x³+x²-6x=0

The solution of the equation will be x = -3, 0 and 2. where the graph crosses the x-axis.

To know more about polynomial follow

https://brainly.com/question/2833285

#SPJ1

Answer:

Reese's Peanut Butter Cups: 10.8

York Peppermint Patties: 2.6

Step-by-step explanation:

Let Reese's Peanut Butter Cups be r and York Peppermint Patties y.

Step 1: Make equations.

1) If you buy 3 bags of Reese's Peanut Butter Cups and 6 bags of York Peppermint Patties, it costs $48.

[tex]3r + 6y = 48[/tex]

2) If you buy 4 bags of Reese's Peanut Butter Cups and 3 bags of York Peppermint Patties, it costs $51.

[tex]4r + 3y = 51[/tex]

Step 2: Solve the system of equations.

We have system of equations. I'll solve them by elimination.

[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 4r + 3y = 51[/tex]

Multiply the second equation with 2 so we'll get 6y.

[tex](1.) \text{ } 3r + 6y = 48\\(2.) \text{ } 8r + 6y = 102[/tex]

Now let's subtract second equation from first and solve for r.

[tex]3r - 8r + 6y - 6y = 48 - 102\\-5r = -54\\r = \frac{-54}{-5}\\r = \$10.8[/tex]

To get y let's substitute the value of r in first equation.

[tex]3r + 6y = 48\\3 \cdot 10.8 + 6y = 48\\32.4 + 6y = 48\\6y = 15.6\\y = \$2.6[/tex]

Step-by-step explanation:

an average of $3 per student would mean

sum(all students $) / 45 = 3

sum(all students $) = 3×45 = 135

x students have $5.

therefore (45-x) students have $2.

5x + 2(45-x) = 135

5x + 90 - 2x = 135

3x = 45

x = 15

so, 15 students have $5, and 45-15 = 30 students have $2.

Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.

En esta pregunta asumimos que la Tierra tiene una geometría esférica, de modo que los cálculos de arcos circulares se pueden obtener de manera simple y ágil. Por otra parte, también asumimos que las que la ciudad de Londres se encuentra a la misma latitud que la ciudad de Nueva York.

Es posible determinar la distancia estimada mediante la siguiente ecuación de arco circular:

s = [(θ' - θ) · π/180] · R · cos α     (1)

Where:

Si sabemos que θ' = 7°, θ = - 73°, α = 40° y R = 6371 km, entonces la distancia estimada entre la ciudades de Nueva York y Londres es:

s = [(7+73)/180] · π · (6371 · cos 40°)

s ≈ 6814.420 km

Bajo la suposición de que las ciudades se hallan en la misma latitud, la distancia estimada entre las dos ciudades es de aproximadamente 6814 kilómetros.

Para aprender más sobre distancias: https://brainly.com/question/22595243

#SPJ1

DOES THE GRAPH SHOW A LINEAR FUNCTION?

[tex] \sf \large \color{grey}{YES IT SHOWS A GRAPHIC LINEAR}[/tex]

Answer:

yeah, cuz it's a line that's straight

The value of the addition of the numbers 7.8+917.62 will be 925.42.

The method of increasing the number is called the addition. or the sum of the two numbers is termed as the addition.

The addition of the numbers will be done as:-

917.62

 +7.80

925.42

First, arrange the number one to another then add from the unit places you will get your answer.

So the addition of the numbers will be 925.42

To know more about Addition follow

https://brainly.com/question/25421984

#SPJ1

Answer:

B. survey a random sample of 7th-grade students

Step-by-step explanation:

this answer would make the most sense because it is a example of a random statistical question.

radius= 4 m

the volume of the given sphere.

[tex]v = \frac{4}{3} \pi {r}^{3} [/tex]

[tex]v = \frac{4}{3} \times 3.14 \times {4}^{3} [/tex]

[tex]v = 267.9466667 \: {m}^{3} [/tex]

[tex]v = 267.95 \: {m}^{3} [/tex]

therefore, the volume of the given sphere is 267.95 cubic meters.

[tex]\large\boxed{\bold{Formula: V= \frac{4}{3}\pi{r}^{3}}}[/tex]

[tex]\large\boxed{\bold{\red\pi\red=\red3\red.\red1\red4}}[/tex]

In this question the radius is given so we'll simply have to substitute and solve.

Let's solve!

Substitute the values according to the formula.

Instead of π we are asked to use 3.14

[tex]V= \frac{4}{3}\times\ 3.14\times{4}^{3}[/tex]

Calculator answer:

[tex]\bold{V= 267.9466667 \:{m}^{3}}[/tex]

Now, we can round off to the nearest hundredth.

The value in thousandths place is greater than 5 so, we will have to round up by adding 1 to the hundredths place.

Final answer:

[tex]\large\boxed{\bold{V= 267.95 \: {m}^{3}}}[/tex]

Hence, the volume of the given sphere is 267.95 cubic meters.

12 students are wearing sneakers.

Answer:

12

Step-by-step explanation:

So, the ratio is 3:4. That means this is for every 7 students. We have 28 students, so we need to know how many times 7 was multiplied to get to 28. 28 divided by 7 gives you 4. Now, we have to multiply both numbers in the ratio by 4. 3 times 4 is 12, and 4 times 4 is 16. The new ratio is 12:16. The students wearing sneakers were originally the 3 that got multiplied into 12, so the answer is 12.

Hope this helps!

The best statement that describes the relationship between lines s and t : (C). Lines s and t are parallel.

A line can be defined as a figure that is one dimensional. It is a trace that is made by the movement of points in opposite direction.

Parallel lines can be defined as a group of lines that are of the same orientation. They face the same direction and are on the same axis.

In conclusion, The best statement that describes the relationship between lines s and t : Lines s and t are parallel.

Learn more about lines : https://brainly.com/question/7098341

#SPJ1

Answer:

x=6

Step-by-step explanation:

6(x-3)=18

Then divide both sides by 6

x-3=3

Add 3 to both sides

x=6

Answer:

x = 6

Explanation:

use distributive property: a(b + c) = ab + ac

change sides

add integers

divide both sides by 6

The probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

We have total number of kitten = 4+5 = 9

Total number of outcomes if the director is going to choose 5 of these kittens at random to be in the commercial:

= C(9, 5) = 126

The director chooses 3 boy kittens number of ways:

= C(4, 3) = 4

The director chooses 2 girl kittens number of ways:

=C(5, 2) = 10

Total favourable outcomes = 10×4 = 40

The probability = 40/126

= 0.317 ≈ 0.32

Thus, the probability that the director chooses 3 boy kittens and 2 girl kittens is 0.32.

Learn more about the probability here:

brainly.com/question/11234923

#SPJ2

Answer:

Step-by-step explanation:

1.169

Answer:

8^2−38+85+3√8 =111+6√2

(Decimal: 119.485281)

The probability that a student who plays a sport does not play an instrument is 13 / 30.

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that a student who plays a sport does not play an instrument = 13 / total number of students

13 / (12 + 13 + 2 + 3) = 13 / 30

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

Answer: height of a building

Step-by-step explanation:

a^2 + b^2 = c^2

used for finding missing side angle of a triangle

Answer:

e.  0.308.

Step-by-step explanation:

I can't draw the tree diagram but the answer is

P(red first) = 7/14 = 1/2

P( then black)  = 4/13

P(red then black) = 1/2 * 4/13 = 2/13

P(black first) = 4/14 =  2/7

P( then red)  = 7/13

P(black then red) =2/7 * 7/13 = 2/13

So Probability of red and black in any order

= 2/13 + 2/13  = 4/13

= 0.308.

[tex]\text{Given that}~ x = 2,~ y = 3 ~ \text{and}~ z = -2\\\\\textbf{a)}\\\\2(x-y)=2(2-3) = 2(-1) = \boxed{-2}\\\\\textbf{b)}\\\\4x+3y-z = 4(2) +3(3) -(-2) = 8+9+2=\boxed{19}\\\\\textbf{c)}\\\\-2(3z+y) = -2[3(-2) +3] = -2(-6+3) = -2(-3) = \boxed{6}[/tex]

Answer:

I do believe its 5 units, if I am incorrect I apologize

Step-by-step explanation:

The age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

Let's suppose the age of the grandsons is x years and

age of the grandfather's age is y years

Here some data are misprinted, so we are assuming the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Then according to the problem:

12x = y  (as in 1 year, there are 12 months)

y -x = 77 (as difference in age is 77)

After solving both equations, we get:

x = 7 years and y = 84 years

Thus, the age of the grandson is 7 years and the grandfather is 84 years if the grandson's age in months is equal to the age of grandpa in years and the difference in age is 77.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ1

Answer:

16807

Step-by-step explanation:

7 * ((sqrt49)^4 =  7 * 7^4  = 7^5 = 16807

Answer:

a point

a line

a line segment

a ray

and an angle in a triangle

Step-by-step explanation:

Assuming that the all the cards have the same probability of being drawn we get:

We have a deck of 52 cards.

A) The probability of drawing an even-numbered card is given by the quotient between the number of even-numbered cards and the total number of cards.

On the 52 card deck, there are 16 even cards (2, 4, 6, 8 for each type), so the probability is:

p = 16/52

Then the probability of drawing a face card is given in the same way, notice that now there are 51 cards in the deck and 12 face cards, so we get:

q = 12/51

The joint probability is the product of these two:

P = (16/52)*(12/51)  = 0.07

b) Both cards are 4 or larger.

There are 6 cards equal or larger than 4 for each type, so the probability for the first card is:

p = 24/52

For the second card, there is one card less in the deck (and one card less that is equal or larger than 4) so the probability is:

q = 23/51

The joint probability is:

P = (24/52)*(23/51) = 0.21

C) There are 6 black face cards, so the probability first is:

p = 6/52

Then there are 2 black cards with the number 5, so the probability is:

q = 2/51

The joint probability is:

P = (6/52)*(2/51) = 0.001

If you want to learn more about probabilities:

https://brainly.com/question/25870256

#SPJ1

Answer:

See below in bold.

Step-by-step explanation:

Let t be the number of tulips you buy and r be the number of rose bushes.

a.

The system is:

t + r = 13

4t + 10r = 100

b.

Solving:

4t + 10r = 100

t + r = 13           Multiply this by 4:

4t + 4r = 52      Subtract this from the first equation:

0 + 6r = 48

r = 8.

Now substitute for r in  t + r = 13:

t + 8 = 13

t = 5.

c.

To  buy 13 plants and spend  $100 you need to buy 5 tulips and 6 rose bushes.

Answer:

y = -5x + 4.

Step-by-step explanation:

y = mx + c  is the general form

- where m = the slope of the line and c is the y-value where the graph cuts the y-axis.

The graph passes through the points (0, 4) and (1, -1) so the slope

= (Y2 - y1) / (x2 - x1)

= (-1-4) / (1-0)

= -5 = m.

and c = 4.

The mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

From the data given in the box plot, we can conclude that the mean score per game is higher for Central High School than for South County High School because the distribution of Central High School's scores is skewed right and contains large outliers.

To know more about mean follow

https://brainly.com/question/968894

#SPJ1

Answer:

18

Step-by-step explanation:

the absolute value is 18

Answer

8.08

Use the distance formula:

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

where (x1, y1), (x2, y1) are points

[tex]\rightarrow \sf d =\sqrt{(7-(-8))^2 + (4-(-2))^2}[/tex]

[tex]\rightarrow \sf d =\sqrt{(15)^2 + (6)^2}[/tex]

[tex]\rightarrow \sf d =3\sqrt{29}[/tex]

This is the length of diameter.

Then radius:

· diameter/2

[tex]\sf \cdot \dfrac{3\sqrt{29} }{2}[/tex]

[tex]\sf \cdot 8.0777[/tex]

[tex]\sf \cdot 8.08 \ \ (rounded \ to \ nearest \ hundreth)[/tex]

Answer:

84 ft

Step-by-step explanation:

16 + 16 + 26 +26 = 84