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andreev551 [17]
3 years ago
15

Is Figure A congruent to Figure B? Explain.

Mathematics
1 answer:
velikii [3]3 years ago
6 0
Yes, because figure B can be obtained from figure A by a series of translations
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What is -29.9 - 4.6?<br> O A. -6,5<br> B. 65<br> C. 0.65<br> D. -65
natulia [17]
-6.5 which in your answer choices is a
7 0
2 years ago
30 POINTS PLEASE HELP!!! 4. The following equations represent the same quadratic function written in standard, vertex, and inter
sergij07 [2.7K]

Answer:

A

Step-by-step explanation:

So we have the quadratic equation and it's written in three equivalent forms:

f(x)=0.5x^2+x-1.5\\f(x)=0.5(x+1)^2-2\\f(x)=(0.5x+1.5)(x-1)

Let's determine the characteristics of the quadratic equation with the given equations.

From the first equation, since the leading coefficient (0.5) is positive, we can be certain that the graph opens upwards.

Also, the constant term is -1.5, so the y-intercept is (0,-1.5).

The second equation is the vertex form. Vertex form has the format:

f(x)=a(x-h)^2-k

Where (h,k) is the vertex. From the second equation we know that h is -1 (because (x+1) is the same as (x-(-1))) and k is -2. Therefore, the vertex is (-1,-2).

And since the graph points upwards, this means that (-1,-2) is the minimum point of the function. In other words, the range of the function is greater than or equal to -2. In interval notation, this is:

[-2,\infty)

This also means that the end behavior of the graph as a x approaches negative and positive infinity is positive infinity because the graph will always go straight up.

Also, the third form is the factored form. With that, we can solve for the zeros of the quadratic. The zeros are:

0.5x+1.5=0\text{ and } x-1=0\\0.5x=-1.5 \text{ and }x=1\\x=-3\text{ and }x=1

Therefore, the graph crosses the x-axis at x=-3 and x=1.

So, from the three equations, we gathered the following information:

1) The graph curves upwards.

2) The roots of zeros of the function is (-3,0) and (1,0).

3) The y-intercept is (0,-1.5).

4) The vertex is (-1,-2). This is also the minimum point.

5) Therefore, the range of the graph is all values greater than or equal to -2.

6) The end behavior of the graph on both directions go towards positive infinity.

Therefore, our correct answer is A.

B is not correct because the line of symmetry (or the x-coordinate of the vertex) here is -1 and not 1/2.

C is not correct because the graph goes towards <em>positive </em>infinity since it shoots straight up.

And D is not correct because the y-intercept is (0,-1.5).

3 0
3 years ago
Read 2 more answers
Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies, is reviewing the order filling
lara31 [8.8K]

Answer:

Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

Step-by-step explanation:

Maureen McIlvoy, owner and CEO of a mail order business for wind surfing equipment and supplies wants test whether her goal of shipping 100% orders within 24 hours is achieved or not.

After reviewing the order filling operations at her warehouses she determines that neither the East coast nor the West coast warehouse has achieved the goal. But the East Coast warehouse has consistently out-performed the West Coast warehouse.

To check whether this determination is correct or not Maureen's staff randomly selected 200 orders from the West Coast warehouse (population 1) and 400 orders from the East Coast warehouse (population 2).

Of the 200 orders from the West Coast warehouse, 190 were shipped within 24 hours. And of the 400 orders from the East Coast warehouse, 372  were shipped within 24 hours.

The hypothesis can be defined as follows:

<em>H₀</em>: The proportion of orders that were shipped within 24 hours is not more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ ≥ <em>p</em>₂.

<em>Hₐ</em>: The proportion of orders that were shipped within 24 hours is more for East Coast warehouse than for West Coast warehouse, i.e. <em>p</em>₁ < <em>p</em>₂.

Thus, Maureen's null hypothesis is, <em>H₀</em>: <em>p</em>₁ ≥ <em>p</em>₂.

8 0
3 years ago
I DESPERATELY NEED HELP!!!!! IM GIVING 50 POINTS TO SOMEONE WHO CAN SOLVE THIS PLEASE!!!!!
zhuklara [117]

Answer:

x=0 y=0

x=1 y=5

x=2 y=8

x=3 y=9

x=4 y=8

x=5 y=5

x=6 y=0

Step-by-step explanation:

6 0
2 years ago
Beeeeep<br>Beeeeep bleep bleep eiwowbw
Inessa [10]

Answer:

boop boop bow bow

Step-by-step explanation:

bleep bleep bow bing

7 0
3 years ago
Read 2 more answers
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