Drag numbers to show which one is closer to -1 and -1/4 on the number line

Answer:

This quadratic has two unequal, imaginary roots.

Step-by-step explanation:

y = 3x^2 + 8 is a quadratic function, and (like all quadratics) it has two roots.  In this case they happen to be different (unequal), as well as imaginary.

Setting y = 3x^2 + 8 = 0, we get:

3x^2 = -8, or

x^2 = -8/3

Taking the square root of both sides, we get

x = ±i√(8/3) (2 imaginary roots)

Answer:

4) C

5) D

Step-by-step explanation:

4) Solving by substitution means you will try to get one of the variables isolated for one of the equations (y=_____), then plug that in to the other equation. C is the best answer choice for a first step in isolating a variable

5) For these kinds of questions it is best to convert the equations to be in the same form (y=mx+b or Ax+By=C). You should get y=3x+5 for both equations, meaning they are the same equations, therefore infinite solutions exist

Answer:

x=5/2, -4.

Step-by-step explanation:

3(2x-5)(x+4)=0

(2x-5)(x+4)=0/3

(2x-5)(x+4)=0

2x-5=0, x+4=0

2x=0+5,

2x=5,

x=5/2,

x+4=0

x=0-4=-4

Answer:

10.8 minutes

Step-by-step explanation:

Given data

We are told that the number of Jugs is 18

Filling the first 3 jugs has taken 5 minutes

let us find the filling rate

Rate= 3/5

Rate= 0.6 Jugs per minute

Hence the rate of filling is 0.6 Jugs per minute

Therefore the time take to fill the remaining 16 jugs is

TIme= Rate*Number of Jugs

TIme= 0.6*18

Time= 10.8 minutes

Answer:

A. Right angle traingle Is the answer

Answer:

3. 15 baskets

4. 16 tries

Step-by-step explanation:

3.

3: 4 is ratio so 3:4=x:20, 3/4=x/20, and you get x=15

4. ratio is still 3:4, 3:4=12:x, 3/4=12/x, x=16, so 16 tries

Answer:

x=1/2

Step-by-step explanation:

use a calculator

Answer:

2+8×6÷3-6 = 2+48÷3-6 = 2+16-6 = 12

With the exam mode, the devices of the students can be rapidly returned to their initial state, or show only certain functions which are allowed for exams. The Procter defines the exam time, the angular and the password (not visible), with which he prematurely can terminate the exam mode.

There are different kinds of modes. The description of the  Examination Mode is explained below;

The Examination Mode is known to be the mode that helps on to be able to prepare one's calculator fast for any exams. Here, the User data which is the main memory is known to be backed up.

Due to this exam mode, the devices of the students can be quickly returned to their normal state, or show only the required functions that is often allowed for exams. The Exam mode is set up in a way to encourage your exam.

Learn more about Examinations from

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Answer: The new length is: (y - x) metres.

Step-by-step explanation:

If we have a piece of string that is y metres long, and we cut x metres of strings from it, then the new length of the string will be equal to the difference between the initial length and the amount that we cut off.

So the initial length is y metres.

We cut x metres.

The new length is: (y - x) metres.

Answer:Number of cellos  =7

Step-by-step explanation:

The ratio of cellos to violins is 1 to 3=1:3

Total ratio = 1+3=4

To find the total number of  cellos and violins in the orchestrs,

Ratio of violins/ Total ratio  x Total number of cellos and violins  = Number of violins

3/4  x X= 21

X=21 x 4 / 3

X =7x 4  28.

Number of cellos  =Ratio of cellos / Total ratio  x Total number of cellos and violins

=1/4 x28

=7 cellos

Answer:

the average distance from the mean is 84.8

Step-by-step explanation:

The computation of the average distance from the mean is shown below;

= Total sum ÷ number of observations

= (80 + 76 + 88 + 96+ 75 + 83 + 68 + 94 + 99 + 89) ÷ (10)

= 848 ÷ 10

= 84.8

Hence, the average distance from the mean is 84.8

Answer:

2,258

Step-by-step explanation:

4 words = $0.31

[tex]\frac{4}{0.31}[/tex] = [tex]\frac{x}{175}[/tex]

cross multiple and solve for x

0.31x = (175)(4)

x = about 2,258

Answer:

It will take 5 months and that height will be 20cm.

Step-by-step explanation:

Let the height of the tree be h cm and the number of months be m.

Maple tree

Initial height= 10cm

Total height= 10cm +2(number of months)

h= 2m +10 -----(1)

Oak tree

Initial height= 15cm

Total height= 15cm +1(number of months)

h= m +15 -----(2)

When the height of the two trees are the same,

2m +10= m +15

Solve for m:

2m -m= 15 -10

m= 5

Substitute m=5 into either equation 1 or 2 to obtain the height.

When m=5,

h= 5 +15

h= 20

Answer:

50!

Step-by-step explanation:

Answer:

[tex]12ab[/tex]

Step-by-step explanation:

3a × 2b = 6ab

6ab × 2 = 12ab

Therefor, the answer is 12ab.

3a × 2b × 2 = 12ab

The expression expects us to find the product . Therefore,

Let's do it step by step

3a × 2b = 6ab

Then,

6ab × 2 = 12ab

Therefore,

3a × 2b × 2 = 12ab

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Answer:

11/21.

BG has a total of 11 points (when you include 0), and there are 21 points total. 11/21 cannot be simplified, your final answer is 11/21.

The required probability is 11/21 that one point will be on BG.

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

We have been given that the number line which has a point is chosen at random on AK.

As per the given question, the required solution would be as:

Since BG has a total of 11 points (when you include 0),

so, the number of favorable outcomes : 11

There are 21 points in total, then the total number of outcomes : 21.

So, the probability that one point will be on BG would be as:

⇒ 11/21

Learn more about probability here:

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Answer:

1.)   ((a+1)^3)+(x^3)  = a^3 + 3a^2 + 3a + x^3 + 1

2.)  ((y-2)^3)-27  =   (y^2-y + 7) x ( y - 5 )

3.)   ((a-b)^3)+b^3  = a (a^2 - 3ab + 3b^2 )

4.)   (8x^3)+((x-y)^3)  =  9x^3 -3x^2 y + 3xy^2 - y^3

5.)   (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3

5) factor = (a+b)(a+b)^ 2    if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1  so they are always positive. Which is the same if they start of negative.

For question 5 we have a factor solved (a+b)(a+b)^ 2

Which means the same as this expansion

(

Answer:

BC = 5.87

Step-by-step explanation:

Reference angle = 50°

Side Opposite to reference angle = 7

Adjacent side = BC = ?

Apply trigonometric function, TOA, thus:

Tan 50 = Opp/Adj

Tan 50 = 7/BC

BC × Tan 50 = 7

BC = 7/Tan 50

BC = 5.87369742 ≈ 5.87 (nearest hundredth)

Answer:

5.87

Step-by-step explanation:

khan said it was correct.

Answer: 7 yards

Step-by-step explanation:

Given

The area of the trapezoid is [tex]46\ yards^2[/tex]

The height of the trapezoid is  [tex]h=4\ yards[/tex]

One of the bases is [tex]a=16\ yards[/tex]

Suppose another base is b

The area of the trapezoid is

[tex]A=\dfrac{a+b}{2}\times h[/tex]

Putting values

[tex]\Rightarrow 46=\dfrac{16+b}{2}\times 4\\\\\Rightarrow 23=16+b\\\Rightarrow b=7\ yards[/tex]

The length of other base is 7 yards

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

 ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎ ‎

Answer:

1st one

Step-by-step explanation:

spinner colours: green, blue, red

card colours: purple, green

possible outcomes:

green + purple

green + green

blue + purple

blue + green

red + purple

red + green

Answer:

A.

Step-by-step explanation:

Match the table units.

If you look at each inside cell, it matches what your result is.

Hope this helps. Have a nice day.

(Make sure that each cell matches with each color.)

Answer:

112

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

8 × (3v - 4)

v = 6

Step 2: Evaluate

Answer:

y = 112

Step-by-step explanation:

This is solved by first writing out the equation correctly

[tex]8 * (3*6-4)[/tex]

we solve whats inside the parenthesis first

this equals 14

now 14 times 8 is 112