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Contact [7]
1 year ago
13

The vertex of this parabola is at (2,-4). When the y value is -3, the x-value is

Mathematics
1 answer:
marusya05 [52]1 year ago
4 0

\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} \stackrel{\textit{we'll use this one}}{y=a(x- h)^2+ k}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \textit{we know that } \begin{cases} h=2\\ k=-4 \end{cases}\implies y=a(x-2)^2-4 \\\\\\ \textit{we also know that } \begin{cases} y = -3\\ x = -3 \end{cases}\implies -3=a(-3-2)^2-4\implies 1=a(-5)^2 \\\\\\ 1=25a\implies \boxed{\cfrac{1}{25}=a}

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zoe and Hannah share tips in the ratio 3:7 last week zoe recived £24 how much did hannah recieve last week
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Answer:

56

Step-by-step explanation:

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1 year ago
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105,159 rounded to the nearest ten thousand
ivolga24 [154]

For this case we have the following number:

105,159

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On the other hand we have as a rule:

When the previous number is greater than or equal to five, then the next number increases by one.

So we have to round off to the nearest ten thousand:

105,159 = 110,000

Answer:

105,159 rounded to the nearest ten thousand is:

105,159 = 110,000

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2 years ago
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Round 0.9998 to 3 decimal places
mojhsa [17]
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1 year ago
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A textbook store sold a combined total 402 of psychology and math textbooks in a week. The number of psychology textbooks sold w
uranmaximum [27]

Answer:

The number of textbooks of each type were sold is <u>134 math </u>and <u>268 psychology </u>books.

Step-by-step explanation:

Given:

Total number of math and psychology textbooks sold in a week is 402.

Now, let the number of math textbooks sold be x.

And, the number of psychology textbooks be 2x.

According to question:

x+2x=402

3x=402

Dividing both sides by 3 we get:

x=134

So, total number of math textbooks were 134 .

And, total number of psychology textbooks were 2x=2\times 134

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Therefore, the number of textbooks of each type were sold is 134 math and 268 psychology books.

4 0
1 year ago
Yolanda used a reconciliation worksheet provided by her bank. Line 5 should equal line 6 at the end of the reconciliation, but i
forsale [732]

Answer is 19.99 dollars

Explanation:

Let us draw the reconciliatin done by Yolanda linewise

Banking reconciliation Worksheet Amount of Mega

1) Closing balance                                                       $ 345 89

2) the sum of any outstanding deposits or credits.         0.00

3)   Sum of 1 and 2                                                          345.89

4. sum of any outstanding checks or debits.                $ 37 51 5.

5) (3)-(4)                                                                           $ 308 38

6) checkbook balance.                                                   $ 328 37  

7) Difference (6)-(5)                                                         $   19.99


SInce difference is exactly 19.99 dollars Yolanda should look for the amount 19.99 dollars to find a solution to the problem i.e. to see the reason for the difference between lines 5 and 6                

4 0
1 year ago
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