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DedPeter [7]
3 years ago
10

How many times larger ?

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0
First answer seems to be correct
shtirl [24]3 years ago
5 0

Answer:

100,000

Step-by-step explanation:

So, when they say how many times larger 3x10^6 is than 3x10^1, they need you to divide 3x10^6 by 3x10^1.

When doing division and multiplcation with exponents, you subtract and add.

So, we have \frac{3*10^6}{3*10^1}

The 3, that doesnt have a exponent on top or bottom, cancels out:

So now we have \frac{10^6}{10^1}

Finally, since we are dividing 10^6 by 10^1, we are actually subtracting the exponents:

So we have 10^5

When you distrubute the ^5, you get:

100,000

So this is how many times bigger 3* 10^6 is than 3*10^1

HOpe this helps! :D

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Consider h(x)=x^2+8+15. identify its vertex and y-intercept.
OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, [x = \frac{-b}{2a}, h(\frac{-b}{2a})].

<h3>Use the equation:  [x = \frac{-b}{2a}, h(\frac{-b}{2a})]</h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

x = \frac{-b}{2a}

x = \frac{-8}{2(1)}

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0
2 years ago
Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. What is the
motikmotik

Answer:

45.44/71 - 1 = -0.36 = -36%

36% decrease.

7 0
3 years ago
What is the equation of the line that passes through the point (−1,−3) and has a slope of 3?
Tanya [424]

Answer:

y= 3x

Step-by-step explanation:

The slope is just read. It is 3. It is the value of m in the general equation.

y = mx + b

y = 3x + b

To find b, use (-1,-3)

x = -1

y = -3                  Substitute into the general equation

-3 = 3(-1) + b       Simplify the right side

-3 = -3 + b          Subtract -3 from both sides

b = 0

Answer: y = 3x

7 0
3 years ago
Find the surface area of the cube shown below.<br> units 2 1/2
dalvyx [7]
Answer: 37.5

Explanation: find the surface area of one side, which is 2.5*2.5=6.25 then multiply that product by six, since there’s six sides in a square, and you’ll get 37.5
4 0
3 years ago
Read 2 more answers
The area of a rectangular garden is 18z+24 square feet. What are the possible dimensions of the garden?
Lelechka [254]

Given:

The area of the rectangular garden is 18z+24 sq ft.

To find the possible dimensions of the garden.

Formula

The area of the rectangular garden is

A = lb

where,

l be the length of the rectangle

b be the width.

Let us take l and b be the length and width of the given rectangular park respectively.

Now,

According to the problem,

lb = 18z+24

or, lb = 6(3z+4)

We can determine that,

l = 6 and b = 3z+4 or vice versa.

Hence,

The possible length and width of the rectangular garden is 6 and (3z+4) respectively.

7 0
3 years ago
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