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3 years ago

Discuss transformation of linear equations in two sentences

Mathematics

1 answer:

Vlad1618 [11]3 years ago

5 0

Answer:

transformations are used to to graph the linear function in the form of f(x)=mx+b f ( x ) = m x + b. google says to "Graph f(x)=x f ( x ) = x . Vertically stretch or compress the graph by a factor |m|. Shift the graph up or down b units."

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4th term <br> c(n) = -7 + 6(n - 1 )

leonid [27]

Assuming n starts at 0, the fourth term would be n=3. c(3)=-7+6(2)=12-7=5

7 0

3 years ago

A scale of a model of a new building was created for approval by the city. The scale of the model is 3 inches=20 feet. If the mo

Vinvika [58]

Answer:

400 feet

Step-by-step explanation:

real

1 feet = 12 inches

5 feet = 60 inches

scale

3 inches = 20 feet

60 inches=

60/3 = 20

20*20= 400

therefore 5 feet tall equall 400 feet

8 0

3 years ago

The graph of $y = ax^2 + bx + c$ is shown below. Find $a \cdot b \cdot c$. (The distance between the grid lines is one unit.)

Savatey [412]

Answer:

$a\cdot b\cdot c=\frac{15}{4}$

Step-by-step explanation:

Vertex is the minimum or maximum point of parabola

Vertex of parabola is (h,k)

Therefore, from given graph (-3,-2) is the lowest point.

Vertex of parabola is at (-3,-2).

Standard equation of parabola

$y-k=a(x-h)^2$

Substitute the values

$y-(-2)=a(x-(-3))^2=a(x+3)^2$

$y+2=a(x+3)^2$

(-1,0) lies on the parabola.

Therefore, it satisfied the equation of parabola.

$0+2=a(-1+3)^2=4a$

$a=2/4=1/2$

Now, using the value of a

$y+2=1/2(x+3)^2=1/2(x^2+6x+9)$

$y+2=\frac{1}{2}x^2+3x+\frac{9}{2}$

$y=\frac{1}{2}x^2+3x+\frac{9}{2}-2$

$y=\frac{1}{2}x^2+3x+\frac{9-4}{2}$

$y=\frac{1}{2}x^2+3x+\frac{5}{2}$

By comparing with

$y=ax^2+bx+c$

We get

$a=\frac{1}{2}, b=3, c=5/2$

$a\cdot b\cdot c=\frac{1}{2}\times 3\times \frac{5}{2}$

$a\cdot b\cdot c=\frac{15}{4}$

7 0

3 years ago

lenny deposits $7,000 in an IRA. What will be the value of his investment in 3 years if the investment is earning 1.95% per year

lorasvet [3.4K]

Step-by-step explanation:

The interest is 1.95 percent.

1.95 percent = 1.0195

Value after 3 years =

$1.0195 {}^{3} \times 7000$

= $7417.54 (to the nearest cent)

4 0

4 years ago

Read 2 more answers

Sheila has a bag of 40 marbles. 10 of them are blue, 12 of them are green and the rest of them are red. What is the probability

Schach [20]

Answer:

Step-by-step explanation:

8 0

3 years ago