The critical points of a rational inequality are x = –4 and x = 2. Which set of points can be tested to find a complete solution to the inequality?

Answer:

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Step-by-step explanation:

Given that :

Let

Bruno's age = x

Mothers age = 8 + 2x

Father's age = 8 + 2x + 3 = 2x + 11

x + 8 + 2x + 2x + 11 = 94

5x + 19 = 94

5x = 75

x = 75 /5

x = 15

Bruno = 15 years

Mother = 8 + 2(15) = 38 years

Father = 38 + 3 = 41 years

Answer:

1 = 3

2 = 1 ( I assumed the equation is y-4 = [(x+5)]

3 = -6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

they have the same variable

Answer:

h = 5.42

r = 5.42

Step-by-step explanation:

Find h with respect to r:

V = πr²h = 500

h = 500/πr²

Plug this into the surface area equation:

SA = πr² + 2πrh

= πr² + 2πr(500/πr²)

= πr² + 1000/r

Differentiate and set to 0, solve for r:

dSA/dr = 2πr - 1000/r² = 0

2πr = 1000/r²

r³ = 500/π

r = (500/π)^1/3

≈ 5.42 cm

find h:

h = 500/πr²

= 500/[π(5.42)²]

= 5.42cm

Answer:

4.0

Step-by-step explanation:

Answer:

4.1

Step-by-step explanation:

4.1231056 is [tex]\sqrt{17}[/tex]

When rounding to the nearest tenth, we get

4.1

Hope I helped,

PumpkinSpice1

Answer:

Axis is a vertical line at x = 2

Vertex is (2, -1)

y-intercept is (0, 3)

Solutions are x = 1 and x = 3

Step-by-step explanation:

To draw the graph of the quadratic equation you must find at least 5 points lie on the graph by choose values of x and find their values of y

Let us do that

Use x = -1, 0, 1, 2, 3, 4, 5

∵ y = x² - 4x + 3

∵ x = -1

∴ y = (-1)² - 4(-1) + 3 = 1 + 4 + 3 = 8

→ Plot point (-1, 8)

∵ x = 0

∴ y = (0)² - 4(0) + 3 = 0 + 0 + 3 = 3

→ Plot point (0, 3)

∵ x = 1

∴ y = (1)² - 4(1) + 3 = 1 - 4 + 3 = 0

→ Plot point (1, 0)

∵ x = 2

∴ y = (2)² - 4(2) + 3 = 4 - 8 + 3 = -1

→ Plot point (2, -1)

∵ x = 3

∴ y = (3)² - 4(3) + 3 = 9 - 12 + 3 = 0

→ Plot point (3, 0)

∵ x = 4

∴ y = (4)² - 4(4) + 3 = 16 - 16 + 3 = 3

→ Plot point (4, 3)

∵ x = 5

∴ y = (5)² - 4(5) + 3 = 25 - 20 + 3 = 8

→ Plot point (5, 8)

→ Join all the points to form the parabola

From the graph

∵ The axis of symmetry is the vertical line passes through the vertex point

∵ x-coordinate of the vertex point is 2

∴ Axis is a vertical line at x = 2

∵ The coordinates of the vertex point of the parabola are (2, -1)

∴ Vertex is (2, -1)

∵ The parabola intersects the y-axis at point (0, 3)

∴ y-intercept is (0, 3)

∵ x² - 4x + 3 = 0

∵ The solutions of the equation are the values of x at y = 0

→ That means the intersection points of the parabola and the x-axis

∵ The parabola intersects the x-axis at points (1, 0) and (3, 0)

∴ Solutions are x = 1 and x = 3

Answer:

for more math help use the app called connects

Answer:

3(7)

the answer is 21

Step-by-step explanation:

Answer:

the answer is 21.

Answer:

11 cars

Step-by-step explanation:

If he earned 70 cars 7 that means he earned 10 dollars per car. So in order to make 110 dollars he must wash 11 cars.

Answer:

11 cars

Step-by-step explanation:

$70total/7 cars= $10 per car

$110 total/$10 per car= 11 cars

Answer:

8. 95°

9. 85°

10. 49°

11. 53°

Step-by-step explanation:

8) m + 28° + 57° = 180°

m = 180°–28°–57°

m = 95°

9) m∆4 + m∆5 = 180°

95° + m∆5=180°

m∆5 = 180°–95°

m∆5 = 85°

10) 180°–36°–95°=49°

11) 180°–42°–85°=53°

Answer:

y = 1/2 x + 3

Step-by-step explanation:

mid point of line BC = (2, 4)

slope of the line containing median (m) = 1/2

y intercept (b)= 3

since y = mx + b

y = 1/2x + 3

The median of a triangle is the line segment joining the any of the vertex to the mid-point of the opposite side of that vertex. The equation of the median through point A is given by y = 1/2x + 3.

A median of a triangle is a line segment joining one of the vertex of the triangle to the mid-point of the opposite side.

The median of an equilateral triangle also an angular bisector.

Given that,

The coordinates of A = (-2, 2)

The coordinates of B = (4, 10)

The coordinates of C = (0,-2)

Thus the coordinate mid-point of BC is given by (4+0)/2,(10-2)/2 = (2,4).

Now, to find the equation of median through A there are two points (-2,2) and (2,4).

Thus the equation of median an be written as,

(y-2)/(x+2) = (4-2)/(2-(-2))

=> y - 2 = 1/2(x+2)

=> y = 1/2(x+2) + 2

=> y = 1/2 x + 3

Hence, the equation of the line is y = 1/2 x + 3.

To know more about Median click on,

https://brainly.com/question/2272632

#SPJ2

Answer:

The asnwer is the first one

Step-by-step explanation:

thx for the poins

Answer:

Yeahh

Step-by-step explanation:

Write the statement in one side and give the reasons on other side.

And then proof it by accurate reason

Answer:

the lcm of 3 and 5 is 15 I hope this helps

Step-by-step explanation:

Answer:

1. Ali makes three straight long cuts along the diameter of the pizza.

2. Ali makes two straight long cuts along the diameter of the pizza.

Step-by-step explanation:

Each serving size in a pizza contains consistent weight but the fraction of the pie can change depending upon the size of the pizza., size of crust, toppings, etc.

The pizza can be cut into different pie section depending upon the size of the pizza. One-sixth or one-fifth is the most common pie sections.

Ali uses a long knife to cut the pizza in a straight line. He must cut the pizza in to 8 pieces or 4 pieces so that he can be sure that the pizzas are cut in a straight line.

For 8 pieces of pizza, Ali has to make three straight long cuts across three diameters of the pizza and for 4 pieces, Ali has to make two straight long cut along the diameters.

Given:

A data set has a median of 12, an upper quartile of 15, a lower quartile of 10, a minimum of 4, and a maximum of 20.

To find:

The correct statement for the box plot.

Solution:

Lower quartile is 10 and upper quartile is 15, so the box will go from 10 to 15.

Median of the data set is 12, so a line dividing the box will be at 12.

Minimum value is 4 and lower quartile is 10, so the left whisker will go from 4 to 10.

Upper quartile is 15 and maximum value is 20, so the right whisker will go from 15 to 20.

Therefore, the correct option is B.

Answer:

its b

Step-by-step explanation:

took the exam review

Answer:

-146

Step-by-step explanation:

Step-by-step explanation:

putting the value f(-9) in expression

= -(-9)^2-7×(-9)-2

= 81+63-2

=142

Answer: 90 seconds or 1 min. and 30 sec.

Step-by-step explanation:

72/4=18

18x5=90

Answer:

It is 10 (m=10)

Step-by-step explanation:

3 (10-2) + 14                  Subtract whats in the parentheses

3 (8) + 14                        Multiply 3 and 8

24 + 14                             Add the remaining to get the sum ( 24 + 14 )

38           (Your total)

~~~Hope this helps~~~

Answer:

This equation is equal to y=3/2x-2

Step-by-step explanation:

Answer:

Your not dumb you probably just don't learn as fast as other people tell me what u need help on and ill try to explain it to u : )

Step-by-step explanation:

Answer:

The reflexive property of equality states that any number is equal to itself. This property has no proof, as it is the fundamental building-block of all other proofs.

Step-by-step explanation:

Answer:

p=-1/2

Step-by-step explanation:

4(4p+6)=16

4p+6=4

4p=4-6

4p=-2

P=-2/4

p=-1/2

Answer:

23 dollars

Step-by-step explanation:

so to figure out how much more you grab 20 and multiply by .15 as percent and you will get 3 dollars more so 23

Answer:

I have no idea butter needed points im sorryyy

Answer:

0.98 meters

Step-by-step explanation:

Since she is three-tenths as tall as her mother, she is 0.42 meters tall (1.4 × 0.3 = 0.42). That means she has to grow 0.98 meters to be 1.4 meters tall.