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3 years ago

A function is in the form g(x) = (x - c)2 + d. If cis positive and dis negative,

Mathematics

1 answer:

Norma-Jean [14]3 years ago

7 0

Answer:

Step-by-step explanation:

This is written in vertex notation, meaning that (c,d) is the vertex. We know that c is positive and d is negative, meaning the vertex will be in the 4th quadrant. As for whether the parabola opens upwards or downwards, the quadratic term has a positive coefficient of 1, meaning the parabola opens upwards.

Hope this helps!

You might be interested in

The total surface area of a cube is 96cm2, find its volume.

Setler [38]

Answer:

$\huge\boxed{V=64cm^3}$

Step-by-step explanation:

The formula of a surface area of a cube:

$SA=6a^2$

The formula of a volume of a cube:

$V=a^3$

We have

$SA=96cm^2$

Calculate the edge length (<em>a</em>).

$6a^2=96$ <em>divide both sides by 6</em>

$a^2=16\to a=\sqrt{16}\\\\a=4(cm)$

Calculate the volume of a cube:

$V=4^3=64(cm^3)$

6 0

3 years ago

Sasha had $1800 and share it in the ratio 2:3:4 between her 3 cousin what was the largest share

PilotLPTM [1.2K]

Answer:

$800

Step-by-step explanation:

$total \: units \: = \\ 2 + 3 + 4 = 9 \: units \\ 9 \: units \: = 1800 \\ 1 \: unit \: = 1800 \div 9 \: = 200 \\ largest \: share \: = 4 \: units \\ 4 \: units \: = \: 200 \times 4 = 800$

5 0

3 years ago

39. Kate recorded the time it took six children of

scZoUnD [109]

Answer:

$y=-11x+261$

Step-by-step explanation:

As you can observe in the image attached, the line that best fits passes through point B and C. That means we can use those point to find the slope of such line.

$m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }$

Where $B(11,137)$ and $C(12,126)$

$m=\frac{126-137}{12-11}=-11$

So, the slope of the line that best fits is -11, approximately.

Now, we use the point-slope formula to find the equation.

$y-y_{1} =m(x-x_{1} )\\y-137=-11(x-11)\\y=-11x+124+137\\y=-11x +261$

Therefore, the line that best fits is $y=-11x+261$ approximately.

Remember, when we estimate a line for some data on a scatterplot, we are calculating an approximation, that's why we also said "approximately", because the line is an approximation where the majority of point meet.

4 0

3 years ago

Complete the table of values for

Andreyy89

Answer:

Step-by-step explanation:

Plug each value of x into the equation and solve for the corresponding y value.

When x = -1, y = (-1)²-2(-1) = 3

When x = 0, y = 0² - 2(0) = 0

You can finish from here.

8 0

3 years ago

A school is planning a 4th grade field trip. There are 157 students and 9 teachers in the 4th gradeIf each bus holds 45 people,

katrin2010 [14]

Given:

A school is planning a 4th grade field trip. There are 157 students and 9 teachers in the 4th grade. Each bus holds 45 people.

Required:

To find the number of buses does the school need to make the field trip.

Final Answer:

There area total

$\begin{gathered} =157+9 \\ =166 \end{gathered}$

166 people.

Let the number of bus be x.

Each bus holds 45 people, therefore

$\begin{gathered} 45x=166 \\ x=\frac{166}{45} \\ x=3.68 \\ x\approx4 \end{gathered}$

Final Answer:

4 buses need to make the field trip.

6 0

1 year ago