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3 years ago

Help me and pls zoom in if u can’t see it :)

Mathematics

1 answer:

Ksivusya [100]3 years ago

8 0

Answer:

105

Step-by-step explanation:

You can view this ratio as a fraction if it makes it easier for you

Put any larger value thats in a column over the smaller value and it will result in 15

75/5=15 etc...

Knowing this, we can take our top value and multiply by 15 to find the missing value

7(15)=105

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The function f(x) = x2 + 6x + 3 is transformed such that g(x) = f(x − 2). Find the vertex of g(x).

garri49 [273]

Answer:

(-1,-6)

Step-by-step explanation:

$f(x)=x^2+6x+3$

$g(x)=f(x-2)$

$g(x)=(x-2)^2+6(x-2)+3$ (Replaced x in f with (x-2))

$g(x)=x^2-4x+4+6x-12+3$ (Used $(x+b)^2=x^2+2bx+b^2$ and distributive property)

$g(x)=x^2-4x+6x+4-12+3$ (Gathered like terms)

$g(x)=x^2+2x-5$ (Simplified)

The vertex of a parabola occurs at $(\frac{-b}{2a},g(\frac{-b}{2a})$ .

Let's find $\frac{-b}{2a}$ first.

$\frac{-2}{2(1)}=-1$

Now we can obtain $g(\frac{-b}{2a})$ which is $g(-1)$ in this case:

$g(x)=x^2+2x-5$

$g(-1)=(-1)^2+2(-1)-5$

$g(-1)=1-2-5$

$g(-1)=-1-5$

$g(-1)=-6$ .

The vertex is (-1,-6).

6 0

3 years ago

Need answer please show work

Jet001 [13]

Let us set up some variabe:

height: h
base: b

Use the known information:

b = 2h + 8

Now lets find the area

Area = (1/2) * b *h = (1/2) * h * (2h + 8)

Hope that helps!

7 0

1 year ago

Y is between X and Z. XY = 1/5XZ. YZ = 20. Find XY and XZ

satela [25.4K]

Answer:

XZ = 25

XY = 5

Step-by-step explanation:

XZ = XY + YZ

XZ = (1/5XZ) + 20

XZ - (1/5XZ )= 20

4/5 XZ = 20

5/5 XZ = (20 ÷ 4) × 5

XZ = 25

XY = 1/5 × 25

= 5

3 0

2 years ago

What is the volume of a cylinder with a high of 9 inches in the diameter of 8 inches use 3.14 to approximate pi to calculate the

Natasha_Volkova [10]

Answer:

452 cubic inches

Step-by-step explanation:

In terms of diameter, the volume of the cylinder is ...

V = (π/4)d^2h

Filling in the given numbers, we get ...

V =(3.14/4)(8 in)^2(9 in) = 452.16 in^3

The cylinder volume is about 452 cubic inches.

8 0

2 years ago

Amanda used 45 ounces of sugar to make 75 cupcakes. How many ounces of sugar will be used to make 255 cupcakes?

horrorfan [7]

Solution:

Ounces of Sugar used by Amanda to make 75 cupcakes = 45 Ounces

As, number of ounces of sugar is in Direct variation with number of cupcakes.

The meaning of direct variation is , the ratio of two variables in each case is same.

Here , Ratio of ounces of sugar, to number of cupcakes in each case will be same.

Let number of ounces of sugar which will be used to make 255 cupcakes be x ounces.

$\frac{45}{75}=\frac{x}{255}\\\\ \frac{3}{5}=\frac{x}{255}\\\\ x=\frac{255 \times 3}{5}\\\\ x=\frac{765}{5}\\\\ x=153$

So, Number of ounces of sugar which will be used to make 255 cupcakes = 153 ounces.

5 0

3 years ago

Read 2 more answers