is y=3x^3+4x^2+15x+7 a function and if it is, explain

Answers

Answer 1
Answer: Yes it is a function.

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

Explanation:

It is a function because any x input leads to exactly one y output. The graph visually passes the vertical line test. It is impossible to draw a single vertical line through more than one point on the cubic curve, so that's why the graph passes the test, and visually confirms we have a function.

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

Extra info:

Something that isn't a function is [tex]y^2 = x[/tex] because it graphs a sideways parabola in which it is possible to draw a vertical line through more than one point on the curve. Two points on this parabola are (9, 3) and (9, -3). The input x = 9 corresponds to more than one output y = 3 and y = -3 simultaneously.


Related Questions

one-third of a number is subtracted from 11.The result is one and half times the original number. what is the number.​

Answers

If 11 is subtracted from 3 times the number, the result is the square of 5 less than the number. What are the set of numbers that satisfy

2500 feet is to how many meters

Answers

Answer:  is 762 meters

Step-by-step explanation:

One foot is equal to 0.3048 meters so multiply 2500 by 0.3048 to find how many meters there are.

2500 * 0.3048 = 762

Answer:762.5 meters

Step-by-step explanation:

1 foot =0.305 m

Hence,0.305×2500=762.5 metres as the answer.

20° + 2pº
70°
p =
degrees

Answers

The answer is p = 25 degrees

20 + 2(25)= 70

Hope this helps!

[tex]\\ \sf\longmapsto 20°+2p=70[/tex]

[tex]\\ \sf\longmapsto 2p=70-20[/tex]

[tex]\\ \sf\longmapsto 2p=50[/tex]

[tex]\\ \sf\longmapsto p=\dfrac{50}{2}[/tex]

[tex]\\ \sf\longmapsto p=25[/tex]

mΖΗ - 67
pleas please please help!! i’m doing angles

Answers

Answer:

could u take a picture of the angles please

Step-by-step explanation:

How do I solve for x.

Answers

Answer:

x = 17

Step-by-step explanation:

(whole secant) x (external part) =  (whole secant) x (external part)

(x+7) * 7 = ( 13+8) *8

(x+7) * 7 = ( 21) *8

Divide each side by 7

x+7 = 21/7 *8

x+7 = 3*8

x+7 = 24

Subtract 7

x = 17

Answer:

The answer is x = 17

Though I think the other guy explained it better

You have ​$95 in your bank account. Each week you plan to deposit ​$9 from your allowance and ​$10 from your paycheck. The equation b​=95+(10+9​)w gives the amount b in your account after w weeks. How many weeks from now will you have ​$220 in your bank​ account?

There will be ​$220 in the account after ___ weeks

Answers

Answer:

7 weeks

Step-by-step explanation:

b​=95+(10+9​)w

Combine like terms

b​=95+(19​)w

Let b = 220

220 = 95 + 19w

Subtract 95 from each side

220-95 = 19w

125 = 19w

Divide each side by 19

125/19 = w

6.578947368

Round up

After 7 week

What kind of polygon is bounded by the line segments passing through points A, D, C, and E? What is the sum of the interior angle measures for this polygon?

Answers

Answer:

Step-by-step explanation:

Answer:

The polygon formed through points A, D, C, and E is a quadrilateral. The sum of the interior angle measures for any quadrilateral is 360°.

Step-by-step explanation:

help! ill give brainliest

Answers

Answer:

84 square inches is the correct answer.

Step-by-step explanation:

I am 100% sure of that.

Hope this helps....

Have a nice day!!!!

Which of the following lists of three numbers could form the side lengths of a triangle? [tex]A. $10, 20, 30$B. $122, 257, 137$C. $8.6, 12.2, 2.7$D. $\frac{1}{2}, \frac{1}{5}, \frac{1}{6}$[/tex]

Answers

Answer:

B. 122, 257, 137

Step-by-step explanation:

The triangle inequality rule states that the sum of any two sides of a triangle must be greater than the third side. If A, B and C are sides of a triangle then A + B > C, A + C > B, B + C > A

Testing for the options:

1) 10, 20, 30

10 + 20 (= 30) is not greater than 30. It cannot form a triangle

2) 122, 257, 137

122 + 137 (259) is greater than 257. It can form a triangle

3) 8.6, 12.2, 2.7

8.6 + 2.7 (11.3) is not greater than 12.2. It cannot form a triangle

4) 1/2, 1/5, 1/6

1/5 + 1/6 (11//30) is not greater than 1/2. It cannot form a triangle

Find the missing value.
Hint: Use the number line to find the missing value.
-4 -
9
{
--15

15
-10
-5
0
5
10

Answers

Answer:

5

Step-by-step explanation:

-4 = x - 9

I hope this helps! :)

Answer:

5

Step-by-step explanation:

5 - 9 = -4

Top Hat Soda has 300,000 milliliters of cola to bottle. Each bottle holds 500 milliliters. How many bottles will the cola fill?

Answers

Answer:

600 bottles

Step-by-step explanation:

Given that Top Hat Soda has 300,000 millilitres of cola to bottle and,

a bottle is 500 millilitres in capacity.

To find the amount of bottles that will fill the Top Hat Soda,

we have to divide Top Hat Soda by the 500 millilitres bottle

we have:

Number of bottles needed to fill Top Hat Soda=  300,000/500 = 600 bottles.

Hence 600 bottles will fill the Top Hat Soda

gordon types 1,972 words in 29 minutes
Gordon types _______ words per minute
PLSSS HELPP ME

Answers

Answer:

68 words

Step-by-step explanation:

To find how many words Gordon types per minute :

1972 ÷ 29 = 68 #

2. find out the h.c.f

Answers

2a , 1st exp= a2 + ab

= a(a+b)

2nd exp = a2-b2

= (a+b) (a-b)

HCF = (a+b)

b, 1 st exp= (a+b)2

= (a+b)(a+)

2 nd exp = a2-b2

= (a+b) ( a-b)

HCF = (a+b)

c, 1 st exp= (a-1)2

= (a+1) (a-1)

2nd exp= a2-1

= (a+1)(a-1)

HCF = (a-1)

d, 1st exp= (x-2)(x-3)

= x(x-3)-2(x-3)

= x2 - 3x - 2x + 6

= x2- 5x+ 6

= x2 - (3+2)x + 6

=x2 -3x-2x+ 6

= x(x-3) -2(x-3)

=(x-3)(x-2)

2 nd exp = (x+2) (x-3)

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

= x2 - 3 x+ 2x -6

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

=(x-3) ( x+ 2)

HCF = (x-3)

Please help, urgent... Which transformation can not be used to prove that triangle ABC is congruent to triangle DEF?

Answers

Answer:

Dilation

Step-by-step explanation:

Dilation can only be used to prove that certain figures are similar

HURRY PLZ WILL GIVE BRAINIEST IF I CAN 4f+4+3d-6-3f

Answers

Answer:

3d + f -2

Step-by-step explanation:

= 4f+4+3d-6-3f

= f+3d-6

= 3d+ f - 6

According to the graph, what is the value of the constant in the equation
below?
A. 30
B. 72
C. 60
D. 15

Answers

Greetings from Brasil...

As stated in the statement:

HEIGHT = CONSTANT ÷ WIDTH

H = C ÷ W

so, isolating the variable C....

C = H · W

choosing any point on the graph...

(2; 30)  ⇒ W = 2 and H = 30

C = H · W

C = 30 · 2

C = 60

The value of the constant in the equation shown in the figure would be, 60. Hence option C is true.

Given that,

The graph is the relation between Height and width.

As is given in the graph:

Height = Constant / Width

We observe that the graph passes through (2,30), (5,12), (10,6), (30,2)

So, by using any one point we may get the value of constant( since it is a fixed quantity)

Hence, using the point (2,30)

Width = 2

And, Height = 30

So, we get:

Constant = 2 × 30

= 60

To learn more about multiplication visit:

https://brainly.com/question/10873737

#SPJ6

what is the value of x to the nearest tenth

Answers

Answer:

14.1

Step-by-step explanation:

Use tan to help:

x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1

95°
6rº + 47°
r_ degrees

Answers

Answer:

r = 8°

Step-by-step explanation:

95° = 6r° + 47° ( vertically opposite angles are equal)

6r° = 95° - 47°

6r = 48°

r = 48°/6

r = 8°

Answer: r = 8

Step-by-step explanation:

The angles a VOA vertically opposite angles which means they are congurent and equal

6r + 47 = 95

6r = 95 - 47

6r = 48

r = 48/6

r = 8

please click thanks and mark brainliest if you like :)

PLEASE help!!!
Find the area and the perimeter of the shaded regions below. Give your answer as a completely simplified exact value in terms of π (no approximations). The figures below are based on semicircles or quarter circles and problems b), c), and d) are involving portions of a square.

Answers

Answer:

 

Step-by-step explanation:

The shaded regions consist of a triangle and a semicircle

Area of shaded regions = Area of Triangle + Area of semicircle

Area of Triangle = (h x b) ÷ 2

Height, h = 10 cm

Base, b = 8 cm

Are of the triangle component = (10 x 8) ÷ 2

= 80 ÷ 2

= 40 cm^2

 Area of semicircle = πr^2 ÷ 2

Diameter, D = 8 cm

Radius, r = 8 cm ÷ 2 = 4 cm

Are of the semicircle component = [π(4^2) ÷ 2)

= 16π ÷ 2

= 16π cm^2

 Total area of shaded regions

= (40+16π) cm^2

= 8 (5 +2π) cm^2

Answer:

[tex]\boxed{\sf Area = 8\pi + 40\ cm^2}[/tex]

[tex]\boxed{\sf Perimeter = 4\pi + 22\ cm}[/tex]

Step-by-step explanation:

Area of the figure:

Firstly: Area of semicircle:

[tex]\sf \frac{\pi r^2}{2} \\Where\ r = 4 \ cm\\\frac{\pi (4)^2}{2} \\\frac{16 \pi}{2}\\8 \pi \ cm^2[/tex]

Then Area of Triangle

[tex]\sf 1/2 (Base)(Height)\\1/2(10)(4)\\10*2\\20\ cm^2[/tex]

Area of Figure = Area of Semicircle + 2(Area of triangle)

=> 8π + 2(20)

=> 8π + 40 cm²

Perimeter of Semicircle:

Firstly, we'll have to find the hypotenuse

[tex]\sf c^2 = a^2+b^2\\c^2 = 4^2+10^2\\c^2 = 16+100\\c^2 = 116\\c = 11\ cm[/tex]

Then, Perimeter of the semi-circle:

=> πr

Where r = 4 cm

=> 4π

Now, the perimeter of the whole figure:

=> 4π + 2(11)

=> 4π + 22 cm

If f(x)= Square root of X +12 and g(x)= 2 Square root of X what is the value of (f-g)(144)

Answers

Answer:

0

Step-by-step explanation:

3/4 + z = 5/6 what does z equal​

Answers

Answer:

1/12

Step-by-step explanation:

3/4 + z = 5/6

Subtract 3/4 from each side

3/4 -3/4+ z = 5/6-3/4

z = 5/6 -3/4

Get a common denominator of 12

z = 5/6 *2/2 -3/4 *3/3

z = 10/12 - 9/12

z = 1/12

Lcm of 4 and 1 is 4
So, 3/4(4)+z(4)=5/6(4)
3+4z=20/6
4z=(20/6)-3
4z= 2
Z=1/2

-8+4x-12=-4(2x-8) help me plz

Answers

Answer:

x = 13/3

Step-by-step explanation:

[tex]-8+4x-12=-4\left(2x-8\right)\\\\\mathrm{Group\:like\:terms}\\\\\mathrm{Subtract\:the\:numbers:}\:-8-12=-20\\\\4x-20=-4\left(2x-8\right)\\\\\mathrm{Expand\:}-4\left(2x-8\right):\quad -8x+32\\4x-20=-8x+32\\\\\mathrm{Add\:}20\mathrm{\:to\:both\:sides}\\4x-20+20=-8x+32+20\\\\Simplify\\\\4x=-8x+52\\\\\mathrm{Add\:}8x\mathrm{\:to\:both\:sides}\\\\4x+8x=-8x+52+8x\\\\\mathrm{Simplify}\\\\12x=52\\\\\mathrm{Divide\:both\:sides\:by\:}12\\\\\frac{12x}{12}=\frac{52}{12}\\\\x=\frac{13}{3}[/tex]

Answer:

Step-by-step explanation:

-8+4x-12 =-8x+32

4x+8x=32+8+12

12x=52

x=52\12

x=41.3

Simplify 3 squared 2 ⋅ 3 squared 5

Answers

Answer:

45

Step-by-step explanation:

(

3

5

)

2

9

5

2

Rewrite

5

2

as

5

.

9

5

Multiply

9

by

5

.

45

Answer:

2187

Step-by-step explanation:

I'm guessing you meant ^ as squared? Therefore, our equation is [tex]3^23^5[/tex]. We can simplify using the rule of exponents, giving us [tex]3^7[/tex]. [tex]3^7=2187[/tex].

In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP? one half the area of circle L one third the area of circle L one half the circumference of circle L one third the circumference of circle L

Answers

Question

In circle L, arc MNOP is 120° and the radius is 5 units. Which statement best describes the length of arc MNOP?

• one half the area of circle L

• one third the area of circle L

• one half the circumference of circle L • one third the circumference of circle L

Answer:

• one third the circumference of circle L

Step-by-step explanation:

In the question, we are told that:

In circle L, arc MNOP is 120° and the radius is 5 units.

We are asked to find the statement amongst the options that describes the arc length MNOP of Circle L

Step 1

Find the Area of circle

Area of a circle = πr²

r = 5 units

Area of a circle = π × 5²

Area of a circle = π × 25

Area of a circle = 78.53981634 square units

Step 2

Find the arc length of a circle

Arc length = 2πr × θ /360

r = 5 units

θ = 120°

Arc length = 2 × π × r × 120/360

Arc length = 2 × π × r × (1/3)

Arc length = 2 × π × 5 × (1/3)

Arc length = 10.47198 units

Step 3

Circumference of a circle = 2πr

= 2 × π × 5

= 31.415926536 units

Since the Circumference of a circle = 2πr

Arc length of the circle for the above calculation, = 2πr × 1/3

Therefore, the statement that best describes the arc length MNOP of Circle L is:

" the arc length MNOP is one third the circumference of circle L"

Answer:

the arc length MNOP is one third the circumference of circle L

Step-by-step explanation:

i fishie yupo

A is (1, –2) and B is (3, 6).
a. Find the length of AB.
b. Find the mid-point of AB.
c. Find the equation of the perpendicular
bisector of AB.

Answers

Answer:

I know mid point is (2,2)

Step-by-step explanation:

Joan weighs 10 pounds less than her older sister. The average of the two sisters’ weights is 85 pounds. How much does Joan’s older sister weigh?

Answers

Answer:

Joan's older sister weighs 90 pounds

Step-by-step explanation:

x = older sister

x - 10 = Joan

(x + (x-10))/2 = 85

2x - 10 = 170

2x = 180

x = 90

Answer:

90 pounds

Step-by-step explanation:

We can set up an equation to find their weights.

Let's start by naming Joan's weight x.

Her sister's weight would then be x+10, since Joan weighs 10 pounds less.

To find the average between 2 numbers, you need to add them together, then divide by 2.

So we can set up the following equation:

(x+x+10)/2=85

Now let's isolate x.

We can first multiply both sides by 2.

x+x+10=170

Combine like terms.

2x+10=170

Subtract 10 from both sides.

2x=160

Subtract both sides by 2.

x=80

Joan weighs 80 pounds.

x+10 is her sister's weight.

80+10=90

Joan's older sister weighs 90 pounds.

Help anyone can help me do this question,I will mark brainlest.​

Answers

Answer:

10. x is 15; y is \sqrt104. 11. \sqrt5

Step-by-step explanation:

for 10:

first we find the face on the left side; which according to the pythagorean theorem x is 144 + 81 =225 = x = 15. and y is 11^2 + y^2 = 225 = 225 - 121 = y^2 = y = the square root of 104.

for 11:

144 + y^2 = 169 = y^2 = 25 = y = 5. because the two sides are equivalent, the base is also 5 for the left part of the triangle. therefore, 5^2 + 5^2 = x^2 which means x is the square root of 5.

Patrick raced round a 440 metre circular track and stopped suddenly after 900 metres . How far was she from the starting point at the 900 metre mark ? Solve

Answers

Answer:

20 meters

Step-by-step explanation:

The track is circular so it means that after Patrick raced the entire track he is back at the starting point. In other words, every 440 meters he is back to the beginning.

So we would have that, if he races round the track twice, he would run 440(2) = 880 meters and he would be back at the starting point.

The problem asks us how far is he from the starting point at the 900 meter mark. If at 880 meters he is at the starting point, then at 900 meters he would be [tex]900-880=20[/tex] meters from the starting point.

If the dimensions of a rectangle are 2x + 1 by x + 1, find its area, in terms of x.

Answers

Answer:

3x + 1

Step-by-step explanation:

Area Of a rectangle = L x B

= 2    +  1    +  1

= 2    +    +  1

= 2    +    +  1

= 3    +  1

Answer From Gauth Math

If A= and then find : 2A + 3B​

Answers

Step-by-step explanation:

Answer:

Step-by-step explanation:

13824 = 2a*3b

13824= 6ab

Ab = 13824/6

A= 13824/b

B= 13824/a

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