Guided Practice

In each of the equations, the vertex rises or drops along the y-axis. The value of y changes, but the value of x does not change. The x-value remains zero.

Look at the graph of y = 2x^2 + 1 and find the y-value of the vertex.


Which point is the vertex of y = 2x^2 + 1?


A.
(0, 0)


B.
(0, 1)


C.
(1, 0)


D.
(1, 1)

Check Answer

Answer:

16, 25, 36

Step-by-step explanation:

Answer:

Locate (0,-6), move up 2, right 1

Step-by-step explanation:

Hi there!

To graph a linear function, we first locate the-intercept, then graph the next point according to the slope.

We're given that the y-intercept is -6. The y-intercept occurs when x=0, so therefore, the point (0,-6) falls on the line.

Locate (0,-6)

Now, to graph the next point, we look at the slope. The slope in this case is 2. This means every time the line travels to the right by 1 unit, it travels up 2 units.

Move up 2, right 1

I hope this helps!

Answer:

0

Step-by-step explanation:

We can use the two points given, which are (-4, -2) and (3, -2), to solve for the slope and answer the question. We have to subtract the y-values and then subtract the x-values. Those differences, divided, give us our slope, as shown below:

[tex]\frac{-2-(-2)}{-4-3} =\frac{-2+2}{-4-3} =\frac{0}{-7} =0[/tex]

So, the slope is 0. If you have any more questions on finding slope, or found what I just did confusing, let me know so I can help you! :)

1

Step-by-step explanation:

Answer:

3x - 1 = 4x - 10

-1 = x - 10

9 = x

Step-by-step explanation:

10-1=4x-3x

9=X

this is the answer with steps

Answer:

40, 60, 80

Step-by-step explanation:

angles are 40, 3x, 4x

40+ 3x + 4x = 180

40 + 7x = 180

7x = 180 - 40

7x = 140

x = 20

so the angles are 40, 60, 80

10 nickels = $0.50

10 dimes = $1.00

So- 10 nickels + 10 dimes = $1.50

Answer: y=11 y=5 y=4 y=5 y=7 y=3

Step-by-step explanation:yknow

Since 20% down payment, we will find the 20% of that $250,000.

10% is $25,000, now times by 2 would be 20% which is $50,000.

Now $250,000 - $50,000 = $200,000 which would be rest of the non-payed payment.

We will divide $200,000 with the 25 year loan. $200,000/25 = $8,000

There is also the 5% interest.

1% of $8,000 is $80 and times that by 5 would be 5% which is $400.

$8,000 + $400 = $8,400.

Since it is monthly, we will divide $8,400 by 12 months. $8,400/12 = $700.

The monthly payment would be $700.

(I hope this is correct.)

Answer:

more ... The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

For resolve this problem I use trigonometry identities.

[tex]sin(\theta) = \frac{OP}{H}[/tex]

Where [tex]\theta[/tex] is the angle of the triangle (45), [tex]OP[/tex] is the opposite side of the angle ([tex]6\sqrt{2}[/tex]) and the [tex]H[/tex] is the hypotenuse ([tex]x[/tex]).

Replace the know values in the relation

[tex]sin(45) = \frac{6\sqrt{2}}{x}[/tex]

Isolate [tex]x[/tex] of the equation and solve

[tex]\frac{6\sqrt{2}}{sin(45)} = x\\\frac{6\sqrt{2}}{\frac{\sqrt{2}}{2}} = x\\\frac{12\sqrt{2}}{\sqrt{2} } = x\\12 = x[/tex]

So the final answer is [tex]x = 12[/tex]

Answer:

thx for points ....,..................

108 ft square

Step by step

5x8 is 40

3x4 is 12 x 1/2 is 6.

Again, 3x4 is 12 x 1/2 is 6

8x4 is 32

8x3 is 24

Add that all tigether and its 108

Answer:

x² - 2x = 0

Step-by-step explanation:

a = 0 ; b = 2

x² - (a +b)x + ab = 0

x² - (0 +2 )x + 0*2 = 0

x² - 2x = 0

Answer:

The length, breadth and height of cuboid are 60 cm, 40 cm and 20 cm.

Step-by-step explanation:

Let,

Now, substuting all the given values in the formula to find the value of x.

[tex]\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}[/tex]

[tex]\begin{gathered} \qquad\longrightarrow{\sf{V_{(Cuboid)} = l \times b \times h}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2x \times x}}\\\\\qquad\longrightarrow{\sf{48000 = 3x \times 2{x}^{2}}}\\\\\qquad\longrightarrow{\sf{48000 = 6{x}^{3}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = \dfrac{48000}{6}}}\\\\\qquad\longrightarrow{\sf{{x}^{3} = 8000}}\\\\\qquad\longrightarrow{\sf{x = \sqrt[3]{8000}}}\\\\\qquad\longrightarrow{\sf{x = 20}}\\\\ \qquad{\star{\underline{\boxed{\sf{\purple{x = 20}}}}}} \end{gathered}[/tex]

Hence, the value of x is 20.

Now, we know the value of x. So, calculating the dimensions of cuboid :

Length = 3x

Breadth = 2x

Height = x

[tex]\rule{300}{2.5}[/tex]

Answer:

$8

Step-by-step explanation:

20% of $40

= [tex]\frac{20}{100}[/tex] × $40

= 0.2 × $40

= $8

$8 is discounted from the regular price

Answer:

$8 off

Step-by-step explanation:

Convert from a percentage to a multiplier by dividing by 100:

[tex]\frac{20}{100}=0.2[/tex]

Then multiply that by the price:

[tex]40*0.2=8[/tex]

meaning the item is $8 off.

You can confirm that like so:

[tex]\frac{8}{40} =0.2\\[/tex]

or 20%

Answer:

y ≥ -0.5

Step-by-step explanation:

First, we can substitute 4 in for x in the inequality.

4 - 2y ≤ 5

Now, to solve for y, we start by subtracting 4 from both sides:

-2y ≤ 1

And divide by -2.  When dividing or multiplying by a negative number while solving an inequality, we also have to remember to switch around the inequality sign.  This gives us:

y ≥ [tex]\frac{1}{-2}[/tex] or y ≥ -0.5

Therefore, the possible values of y are -0.5 or greater.

Answer:the number that divides a division problem

Step-by-step explanation:the divisor divides the another number for the answer

hope this helps!

[tex] - 4x + 2 \\ \\ [/tex]

Answer:

x+4 x<5

8 5<_x<7

2x -1 7<_x<_10

Answer 1 3/5 meter below sea level

In this case, a diver goes into two different location expressed with "meters below sea level" unit. To know the distance between the two location, then you need to subtract it.

Step-by-step explanation:

Distance = 2nd location - 1st location

Distance = 8 1/5 meter below sea level - 6 3/5 meter below sea level= 1 3/5 meter below sea level

Answer:

The dimension of a matrix is indicated with R × C where R is the number of rows in the matrix and C is the number of columns. When a matrix has the same number of rows as columns, then it's a square matrix. Matrices with just one row are called row matrices, and those with only one column are column matrices.

Answer:

301.75$

Step-by-step explanation:

have a good day

Answer: Choice C

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

Explanation:

Recall that the form

[tex]z = r*\left[\cos\left(\theta\right)+i*\sin\left(\theta\right)\right][/tex]

can be abbreviated to

[tex]z = r*\text{cis}(\theta)[/tex]

The "cis" stands for the first letters of "cosine i sine" in that order.

The original fairly messy quotient can be shortened down to

[tex]\frac{90\text{cis}(\pi/4)}{2\text{cis}(\pi/12)}[/tex]

We have 90cis(pi/4) all over 2cis(pi/12) as one big fraction.

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

Now we'll use this rule to divide two complex numbers

[tex]z_1 = r_1*\text{cis}(\theta_1)\\\\z_2 = r_2*\text{cis}(\theta_2)\\\\\frac{z_1}{z_2} = \frac{r_1}{r_2}*\text{cis}(\theta_1-\theta_2)\\\\[/tex]

As you can see, we divide the r1 and r2 values to form the final coefficient out front. The theta angles are subtracted to form the new argument.

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

Let's apply that idea to what your teacher gave you

[tex]z_1 = 90*\text{cis}(\pi/4)\\\\z_2 = 2*\text{cis}(\pi/12)\\\\\frac{z_1}{z_2} = \frac{90}{2}*\text{cis}(\pi/4 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(3\pi/12 - \pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(2\pi/12)\\\\\frac{z_1}{z_2} = 45\text{cis}(\pi/6)\\\\[/tex]

That last step then converts directly to the expression shown in choice C.

Answer:

-8,-6,-3,7,9,10

9514 1404 393

Answer:

  b.  6.28 units

Step-by-step explanation:

The travel through 360° takes you around the full circumference of the circle. That circumference is ...

  C = 2πr

Since this is a unit circle, the radius is 1, so the circumference is ...

  C = 2π·1 = 2π ≈ 6.28 . . . units (counterclockwise)

Angles are generally considered to be positive in the counterclockwise direction, so the distance traveled is 6.28 units counterclockwise. Answer choice (a) has the correct number of units, but the direction is incorrect.

Answer:

The answer is 18

Step-by-step explanation:

4050/225 = 18

Therefore 4050/18 = 225

Answer $12.25

Step-by-step explanation: edmentum

Answer:

A decimal is used to identify a unit of measure with precision because not all whole numbers cannot represent a unit of measure in a respective situation.

Answer:

Decimals are used to express the whole number and fraction together.

Step-by-step explanation: