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1 year ago

6

A family of 6 is going to the fair. They have a coupon for $1.50 off each ticket. If they pay for $46.50 for all their tickets,

what equation could be used to solve for how much each ticket cost without the coupon?

2 answers:

Karolina [17]1 year ago

8 0

Answer:

6x=46.50

Step-by-step explanation:

rusak2 [61]1 year ago

3 0

Answer:

(1.50x6)+46.50

Step-by-step explanation:

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Which shows two triangles that are congruent by ASA

Ksenya-84 [330]

The four options are attached below

<u><em>Answer:</em></u>
Second attachment is the correct choice

<u><em>Explanation:</em></u>
ASA (angle-side-angle) means that two angles and the included side between them in the first triangle are congruent to the corresponding two angles and the included side between them in the second triangle

<u>Now, let's check the choices:</u>
<u>First attachment:</u>
It shows that two sides and the included angle between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second one. This is congruency by SAS. Therefore, this option is incorrect

<u>Second attachment:</u>
It shows that two angles and the included side between them in the first triangle is congruent to the corresponding two sides and the included angle between them in the second triangle. This is congruency by ASA. Therefore, this option is correct

<u>Third attachment:</u>
It shows that the three angles in the first triangle are congruent to the corresponding three angles in the second one. This is not enough to prove congruency. Therefore, this option is incorrect

<u>Fourth attachment:</u>
It shows that the three sides in the first triangle are congruent to the corresponding three sides in the second one. This is congruency by SSS. Therefore, this option is incorrect.

Based on the above, the second attachment is the only correct one

Hope this helps :)

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1 year ago

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How do I factorise 35x+55

densk [106]

Find what is common between 35 and 55....and that would be 5....so factor 5 out

35x + 55 =
5(7x + 11) <==

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1 year ago

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Which is a factor of the polynomial f(x) = 6x4 – 21x3 – 4x2 + 24x – 35?

QveST [7]

<span>I note that this problem starts out with "Which is a factor of ... " This implies that you were given several answer choices. If that's the case, it's unfortunate that you haven't shared them.

I thought I'd try finding roots of this function using synthetic division. See below:

f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35
Please use " ^ " to denote exponentiation. Thanks.

Possible zeros of this poly are factors of 35: plus or minus 1, plus or minus 5, plus or minus 7. Use synthetic division; determine whether or not there is a non-zero remainder in each case. If none of these work, form rational divisors from 35 and 6 and try them: 5/6, 7/6, 1/6, etc.

Provided that you have copied down the function
</span>f(x) = 6x^4 – 21x^3 – 4x^2 + 24x – 35 properly, this approach will eventually turn up 1 or 2 zeros of this poly. Obviously it'd be much easier if you'd check out the possible answers given you with this problem.

By graphing this function, I found that the graph crosses the x-axis at 7/2. There is another root.

Using synth. div. to check whether or not 7/2 is a root:

___________________________
7/2 / 6 -21 -4 24 -35
21 0 -14 35
----------- ------------------------------
6 0 -4 10 0

Because the remainder is zero, 7/2 (or 3.5) is a root of the polynomial. Thus, (x-3.5), or (x-7/2), is a factor.

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Pairs of P-values and significance levels, α, are given. For each pair, state whether the observed P-value would lead to rejecti

lubasha [3.4K]

Answer:

(a) P-value = 0.074, α = 0.05 do not reject H0

(b) P-value = 0.006, α = 0.001 do not reject H0

(c) P-value = 0.494, α = 0.05 do not reject H0

(d) P-value = 0.074, α = 0.10 reject H0

(e) P-value = 0.028, α = 0.01 do not reject H0

(f) P-value = 0.296, α = 0.10 do not reject H0

Step-by-step explanation:

The p-value is used to determine the statistical significance of the results of a statistical test. The p-value is the probability that the null hypothesis is correct. Smaller the p-value, higher is the probability that the alternate hypothesis is correct. On the other hand, the significance level (α) is the probability of rejecting the null hypothesis when it is true. It is the risk that you are willing to take in saying that there are differences between groups when there are not.

In order to reject the null hypothesis, the p-value should be lower than the significance level (α).

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Suppose you are climbing a hill whose shape is given by the equation z = 1300 − 0.005x2 − 0.01y2, where x, y, and z are measured

Varvara68 [4.7K]

Answer:

ascend

Step-by-step explanation:

There are a couple of ways to figure this. One is to look at the partial derivative ...

$\dfrac{\partial z}{\partial y}=-0.02y$

The sign of it is negative, so when y decreases, z increases. Going south means decreasing the y-coordinate, so moving in that direction will cause you to ascend.

__

Another way to figure this is to evaluate z for some small movement in the southerly direction. In the attached, we find that moving 1 m south to (120, 79, 1165.59) causes an elevation increase of about 1.6 m. Walking south causes you to ascend.

Note that this is consistent with our first result, as -0.02y = -0.02(80) = -1.6. So a change in y of -1 should cause a change in z of about (-1.6)(-1) = 1.6.

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2 years ago