Find the measure of XYZ

Answer:

[tex]\displaystyle 10c - 6a = 110[/tex]

Step-by-step explanation:

We are given the equation:

[tex]\displaystyle 3x^3 - 25x^2 -50x = 0[/tex]

Where a, b, and c are solutions to the equation and where a < b < c, we want to determine the value of 10c - 6a.

To find the solutions of the equation, we can factor:

[tex]\displaystyle \begin{aligned} 3x^3 - 25x^2 -50x & = 0 \\ \\ x(3x^2 - 25x -50) & = 0 \\ \\ x(3x+5)(x-10) & = 0 \end{aligned}[/tex]

From the Zero Product Property:

[tex]\displaystyle x = 0 \text{ or } 3x + 5 = 0 \text{ or } x - 10 = 0[/tex]

Solve for each case:

[tex]\displaystyle x = 0 \text{ or } x = -\frac{5}{3} \text{ or } x = 10[/tex]

We can see that -5/3 < 0 < 10. Thus, a = -5/3, b = 0, and c = 10.

Therefore:

[tex]\displaystyle \begin{aligned} 10c - 6a & = 10(10) - 6\left(-\frac{5}{3}\right) \\ \\ &= 100 + 10 \\ \\ & = 110 \end{aligned}[/tex]

Answer:

Step-by-step explanation:

We need to find how much longer did Steve run than walked.

To find the answer we need to find the difference in times, subtract the time he walked from the time he ran.

Answer:

114 in²

Step-by-step explanation:

A = s²

A = s²

= 12²

= 144 in²

Answer:

144 in.²

Step-by-step explanation:

A=s²

A=12²

A=144

Answer: B (It does not make sense for time to be negative.) & C (The ball cannot hit the ground before it is thrown.)

Step-by-step explanation:

I answered the question already

Answer:

answer in picture
First one C
second  options B and C

third one 2.4

Answer:

the second and the forth

Answer:

y = -3/4x + 7

Step-by-step explanation:

ok first u need to find the slope so use the slope equation for this (x2 - x1 over y2 - y1) so

1 - 4 = -3

8 - 4 4

so the m is -3/4

now you need to find the y intercept so pick one of the points (let's do (8, 1)) and plug that into the slope intercept form (y = mx+b)

so 1 = -3/4(8) + b

1 = -6 + b

+ 6 + 6

b = 7

so the equation is y = -3/4x + 7. hope this helps

Answer:

6x^2 + 4x

Step-by-step explanation:

g(x) + f(x)

= -8x^2 - 3x + 5 + 2x^2 + 7x - 5

= -8x^2 + 2x^2 - 3x + 7x + 5 - 5

= - 6x^2 + 4x

Answer:

Annika is 15 years old and Rohan is 7 years old.

Answer:

115 degrees

Step-by-step explanation:

You subtract 65 from 180 degrees to find the answer

Answer:

Yo Rick Astley

Step-by-step explanation:

y ∝ 1 √ x

y = k (1 √ x)

y = 7 when x = 36

7 = k ( 1 / √36)

7 = k (1/6)

k= 7 × 6

k = 42

If x = 4 then,

y = 42 ( 1/√4)

y = 42 ( 1/2)

y= 21

Answer:

15

Step-by-step explanation:

(Side)^2 = (Hypotenuse)^2 - (Side)^2

(Side)^2 = (25)^2 - (20)^2

(Side)^2 = 625 - 400

(Side)^2 = 225

Side = √225

Side = 15

________

[tex] \: [/tex]

a² = c² - b²

a² = 25² - 20²

a² = 625 - 400

a² = 225

a = √225

a = 15

Answer:

Lets see if the gallon fill the paint tray or not.

For that purpose we need to find out the volume of the paint tray and compare it with the volume of the gallon.

Given:

Length = 14 inches

Width = 10 inches

Depth = 4 cm = 1.57 inches

Volume = length x width x depth

Volume = 14 x 10 x 1.57

            = 220.47 inches cube

Volume of Gallon = 231 inches cube

Comparing the two volumes:

231 inches cube - 220.47 inches cube = 10.52 inches cube

Hence,

The paint will not fill the tray by 10.53 in3.

Step-by-step explanation:

Answer:

33

Step-by-step explanation

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

22 divided by 2 is 11

it says four years ago so add 11 and 4 and that equals 15

she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33

33 is the answer.

Explanation:

Candice scored 1/5 of the total points. So we multiply 1/5 with 60. This is the same as dividing by 5.

60*(1/5) = 60/5 = 12

Candice scored 12 points.

Answer:

12

Step-by-step explanation:

60 multiplied by 1/5

=60/5

=12

hope This Helps :)

Answer:

First, calculate the amount of sales tax by multiply the percent tax times the total cost:

0.07×600 =42

Next, add the amount of tax to the price of the computer:

600+42=642

$0.45792 more is she spending if she purchases the items in the city where she lives.

Given that, Jen purchased the items shown on the table. In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%.

We need to find out how much more is she spending if she purchases the items in the city where she lives.

A sales tax is a consumption tax imposed by the government on the sale of goods and services.

Now, the cost of the goods she purchased=11.99+35.50+6.75+3.00

=$57.24

The sales tax rate is 7.15%.

So, the sales tax=7.15% of 57.24

=$4.09266

The sales tax rate is 6.35%.

So, the sales tax=6.35% of 57.24

=$3.63474

Now, 4.09266-3.63474=$0.45792

Therefore, $0.45792 more is she spending if she purchases the items in the city where she lives.

To learn more about the sales tax visit:

https://brainly.com/question/27092799.

#SPJ2

Answer:

x = 35 degrees

y = 70 degrees

z = 75 degrees

Step-by-step explanation:

X will equal 35 degrees because that angle is vertical to the 35 degree angle, which means they are equal.

To find the measure of angle z, subtract the outside angle from 180:

180 - 105 = 75

To find the measure of angle y, add the two other known angles of the triangle and subtract that from 180:

35 + 75 = 110

180 - 110 = 70

Answer:

x = 35, y=75, z=70

Step-by-step explanation:

I dont know which angle you wanted exactly. However x is equal to 35 (I'm sorry, I forgot the name of the rule that makes that way, I assume it's in your notes if this is for a class). Z is equal to 75 because a straight line(the one on the bottom) is equal to 180 degrees. Since you have an angle on that line already (105), just subtract 180-105 to get 75.

Lastly, since we have x and z now, we can add them and subtract from 180(the degree in a triangle. So 35+75 = 110 and 180-110 = 70.

Answer:

11cm

Step-by-step explanation:

diameter = 16, r = 8 (16÷2)

π = 3.142

V=πr2h

2211.68 = π x 8^2 x h

2211.68 = 3.142 x 64 x h

2211.68 ÷ 64 ÷ 3.142 = h

h = 10.9986

= 11 cm (round off to nearest cm)

To check and confirm

V=πr2h

3.142 x 64 (8^2) x 10. 9986 = 2211.68

refer to the above attachment ↑

Answer:

Step-by-step explanation:

X=16x

z=116

16x+112=128

360-128=232

232 divide by 2=116

Answer:

x = 9

z = 68

Step-by-step explanation:

For x, the top and bottom angles have the same value. To get x, you need to set up this equation: 12x + 4 = 112. Subtract 4 from itself and from 112. Your equation will then be 12x = 108. Divide 108 by 12, and then your answer is 9. So the value of x is 9.

For z, it's supplementary with the top angle. This means that the two angles combined add up to 180. So your question is: 112 + z = 180. Subtract 112 from 180, and then your answer is 68. So the value of z is 68.

Answer:

34/15

Step-by-step explanation:

We want to change the mixed number to an improper fraction

2 4/15

(15*2 + 4)/15

(30+4)/15

34/15

Answer:

34/15

Step-by-step explanation:

i dont know

Step-by-step explanation:

d ) 1/11

→ 0.090

g) 1/22

→ 0.045

hope this answer helps you dear!

Answer:

a) 1/9 = 0.111

d) 1/11 = 0.090

g) 1/22 = 0.045

Answer:

Step-by-step explanation:

To solve this inequality, we have to find x (or make x the subject of the inequality:

since     ⁻ˣ/₃  ≤ 6       [multiply both sides by 3]

               - x ≤ 18      [multiply both sides by -1; this flips the inequality sign]

To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.

We use a solid line because the point x = -18 is included. However, hypothetically,  if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.

Answer:

12 30 100 a car

Step-by-step explanation:

Answer:

12 30 100 a car

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

Hope this is the answer you need.

Answer:

i believe its just A

Step-by-step explanation:

Explanation:

Relation I has each item in the domain map to exactly one item in the range. So any input leads to exactly one output. Therefore, we have a function here.

In contrast, relation II has the input x = 0 lead to multiple outputs (namely y = 8 and y = -1 at the same time). This indicates we do not have a function here.

Relation III is the same as as the previous one. This time the input x = -2 maps to both y = 1 and y = -7 at the same time. We don't have a function here either.

If you wanted, you can plot these points on the xy plane to see that relations II and III fail the vertical line test. You would need to plot each relation separately.

Answer:

the answer is m²

Step-by-step explanation:

2x²=3⁷x⁹xw.2=m²

Answer:

3

Step-by-step explanation:

The square root of 9 is 3

[tex]6(x + 5) = 42 \\ = > 6x + 30 = 42 \\ = > 6x = 42 - 30 \\ = > 6x = 12 \\ = > x = \frac{12}{6} \\ = > x = 2[/tex]

2

Answer:

yes you can

do you want me to

Step-by-step explanation: