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Romashka [77]
3 years ago
15

(09.01 LC))

Mathematics
1 answer:
Daniel [21]3 years ago
7 0

Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

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Please help I’ll give you guys brainiest!<br><br><br> Thank youuuuuuu :))
mariarad [96]

Hi there!

\large\boxed{\left \{ {{y\geq -x + 3} \atop {y > 2x - 3}} \right.}

We can begin by looking at the solid-line pictured in the graph.

Using the slope-formula, we can derive the slope from this line:

\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }

Plug in points from the line:

m = \frac{0- 3 } { 3 - 0} = -1

We can also see that the graph has a y-intercept, or "b" value of 3. The line is a solid line including values above it, which means we must use a "greater than or equal to" symbol. Therefore, the final equation is:

y ≥ -x + 3

The second line is dashed and also has values shaded above its graph. We can use this later to make an equation, but let's solve for the slope for now. Use the same equation as above:

m = \frac{1-(-3)}{2-0}  = 4/2 = 2

The graph has a y-intercept at y = -3, so this is the "b" value in its slope-intercept formula.

Use a "greater than" sign (Not equal to... the line is dashed) to write the equation:

y > 2x - 3

6 0
3 years ago
Are the following figures similar?
Tanya [424]

Answer:

No; the corresponding angles are not congruent

Step-by-step explanation:

Two figures are similar when they have proportional corresponding sides and congruent corresponding angles.

Trapezoid ABCD has two right angles B and C, obtuse angle A of measure 137° and acute angle D of measure 43°.

Trapezoid EHGF has two right angles G and F, obtuse angle E of measure 136° and acute angle H of measure 44°.

Since obtuse angles and acute angles are not congruent, trapezoids ABCD and EHGF are not similar

6 0
3 years ago
1 pts Josh is planning on attending college. He is trying to choose between a public, four-year university with tuition and fees
blagie [28]

Answer:

$34,000

Step-by-step explanation:

We can find the costs for each college by multiplying the yearly cost by 4:

First, find the cost for the public university:

6500(4)

= 26000

Then, find the cost for the private college:

15000(4)

= 60000

Next, find the difference between the two costs:

60000 - 26000

= 34000

So, it will cost him $34,000 more to attend the private college

3 0
3 years ago
99,000 = how many tens
Ray Of Light [21]
99,000/10
Take away one zero from both numbers
9,900/1 = 9,900
9,900 tens, Hope this helps!
7 0
3 years ago
Mr. Gonzalez has a cooler of sodas for his backyard barbecue he wanted to know the volume of his cooler so he can determine how
AlladinOne [14]
The formula is V= l × w × h or length times width times height.
V= 45×25×60 so the answer is 67,500 but make sure you put units in your answer!

Hope this helps!
7 0
3 years ago
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