If a cube has a volume of 1 cubic unit, how long is one of its edges?

Answer:

see explanation

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros

• If b² - 4ac > 0 then 2 real and irrational zeros

• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros

• If b² - 4ac = 0 then 2 real and equal zeros

• b² - 4ac < 0 then zeros are not real

Given

f(x) = 3(x - 4)² - 12 ← expand factor using FOIL

     = 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3

     = 3x² - 24x + 48 - 12

     = 3x² - 24x + 36 ← in standard form

with a = 3, b = - 24 , c = 36 , then

b² - 4ac

= (- 24)² - (4 × 3 × 36

= 576 - 432      

= 144 ← a perfect square

Then 2 zeros are real and rational  and produce 2 x- intercepts

Answer:

See image

Step-by-step explanation:

An equation is really like a scale with two equal things on both sides. You could use the idea of a scale and lift off the same amount from both sides to keep it balanced. But I will show you the algebra version. When we subtract the same thing from both sides that's how we work back to our answer while keeping the scale balanced.

Let m = weight of a marble

p = weight of a penny = 1 gram

q = weight of a quarter= 3 grams

The problem says how many of each marble, penny, quarter, then set them equal to each other. See image

Answer:

Step-by-step explanation:

y = 50x - 165

Answer:

y = y is equal to 27 over 3

Step-by-step explanation:

being y3 = 27

the y3 is found by multiplying and is passed to the other side by dividing, becoming y = 27/3

First, we can get rid of d(x) simply by looking at it because we can tell it's linear (it's a straight line). If we look at the table, we can see a(x) is also linear because it has a steady rate of growth. b(x) and c(x) both represent exponential growth. The curved shape of b(x) shows us this is exponential growth, and the exponent in c(x) tells us it's also exponential.

Hope this helps!

Answer: b(x) and c(x)

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.

Since we have found the required variable, we can now solve the indicated variables.

Given angles:

Let's solve 4(33) - 6 first.

Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.

We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.

Conclusion:

Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer: 1

Step-by-step explanation: You are given the function f(x) = -2x-5. The value is (-3) which is the input of the function. The output, y is what gives 1.

Plug in -3 into the given of function of f(-3) = -2(-3) - 5 = 1.

Negative x negative is positive which -2(-3) = 6.

Take 6-5 = 1.

The above function can also be written as y = -2x-5.

The only difference is this is written in y= mx+b for and the above problem is written in function notation.

Hope this explanation helps.

Answer:

you need to show the circumference, instead I cant help

Answer:

4/9

Step-by-step explanation:

Answer:

4/9

Step-by-step explanation: its just the answer lol

Answer:

The equation of a line: y = ax + b

<=> 2= -a +b => a= b - 2 (1)

<=> -1=b (2)

from (1), (2) => b= -1; a = -3

Step-by-step explanation:

Answer:

x - 6 ≤ 9

Step-by-step explanation:

using the keywords 'less than', 'a number', and 'atmost' we can identify the problem.

Answer:

well -5.5 is the left side of the graph then goes up 3 y which brings you to the -x positive y quadrant or the top left quadrant which is quadrant 2

The measure of angle 1 is equal to angle  3

From the diagram, if BA is perpendicular to BD, then;

Similarly, if BC is perpendicular to BE, then;

Equating both expressions will give:

Subtract m<2 from both sides

m<1 + m<2 - m<2=  m<2 + m<3 - m<2

m<1 = m<3

Hence the measure of angle 1 is equal to angle  3

learn more on perpendicular lines here: https://brainly.com/question/1202004

Answer:

Camille's puppy gained weight the slowest, because her graph does not increase as rapidly as Amit's graph. The puppy's weight increases by .5 pounds every week.

Step-by-step explanation:

Answer:

twice a number and add 2 to it

Expression. 2x+2

Varible. 2X

Constant. 2

ten subtracted from 1/4 a number

Expression. 1/4x-10

Varible. 1/4x

Constant. -10

Hope This Helps!!!

Answer:

2.33 yards

Step-by-step explanation:

3 1/2-3.5

2/3-0.66

0.66 x 3.5 = n

Answer:

Step-by-step explanation:

Answer:

24 cm

Step-by-step explanation:

in rhombuses, the rule is that all sides are the same length which means 3x - 6 = x + 14. then, you just have to solve this:

3x - 6 = x + 14

subtract x from both sides

2x - 6 = 14

add 6 to both sides

2x = 20

divide both sides by 2

x = 10.

to find the length of each side, plug this back into the original side length expressions:

3x - 6 becomes 3 * 10 - 6 = 30 - 6= 24 cm

the length is 24 cm.

Answer:

The y-intercept of Function A is greater the Function B's.

Step-by-step explanation:

Function B's y-intercept is -5.

Function A's y-intercept is 5.

Answer:

All

Step-by-step explanation:

Answer:

Danny is incorrect.

Step-by-step explanation:

1 loaf of bread = 1.2

1 bottle of mil = 0.7

2 packets of cheese = 4.6

1.2+0.7+4.6 = 6.5

10-6.5 = 3.5

Danny is incorrect as he should be given £3.50 change instead of £3.30 change.

Answer:

The number 2

Step-by-step explanation:

Answer:

"2 is prime and it is even"

Step-by-step explanation:

Answer:

x + 49 + 28 = 180

Step-by-step explanation:

The angle adjacent to x on the left is vertically opposite 49° and is congruent.

The 3 angles then lie on a straight line and sum to 180° , that is

x + 49 + 28 = 180

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{6 + (-434) + (-218)}}\\\large\boxed{\mathsf{\rightarrow 6 \bf - 434 - 218}}\\\large\boxed{\rightarrow \mathsf{\bold{-428} - 218}}\\\large\boxed{\rightarrow \mathsf{\bf -646}}\\\large\boxed{\rightarrow \mathsf{\bold {- \dfrac{646}{1}} \approx -646\div1}}\\\\\\\large\text{We pretty much can't do anything to this so, your answer is: }\\\large\boxed{\mathsf{\bf -646}}\\\\\\\\\\\\\\\\\\\\\huge\text{Thus, your answer is: \boxed{\mathsf{-646}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

-646 is the answer

hope it help

#Chloe919

#thanks for the points

#carry on learning

Answer:

D) each input has only one output.

Step-by-step explanation:

Part A: Yes, Triangle DEF and DBC are the same triangle, but DBC is smaller than DEF because it is just a cut off of DEF.

Part B: I am pretty sure it is angle C.

Part C: I am pretty sure it is angle D.

Answer:

Step-by-step explanation:

Part A.

m < B = m < E   (corresponding angles, (BC parallel to EF))

m < C = m < F   ( as above)

So triangles DBC and DEF are similar ( by 2 equal angles).

Part B.

Line segment BC   ( as they are both opposite  < D)

Part C.

< C as its in same relative position to < F.