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Contact [7]
3 years 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]3 years 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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The product of two consecutive integers is 56.find the the integers.
defon

Let, the integers = x,(x+1)

x*(x+1) = 56

x²+x = 56

x²+x-56 = 0

x²+8x-7x-56=0

x(x+8)-7(x+8)=0

x+8= 0  OR x-7=0

x = -8 OR x = 7

it would be -8 & -7 or 7 & 8

4 0
2 years ago
Logan measured a line to be 7.4 inches long. If the actual length of the line is 7.7 inches, then what was the percent error of
algol13

Answer:

3.9%

Step-by-step explanation:

Percentage error

=  \frac{7.7 - 7.4}{7.7}  \times 100 \\  \\  =  \frac{0.3}{7.7}  \times 100 \\  \\   =  \frac{300}{77}  \\  \\  = 3.8961039    \\  \\  = 3.9 \%

8 0
2 years ago
Read 2 more answers
A bag of 8 apples cost $2.88. What is the cost of one apple
k0ka [10]
You have to use the formula cost over quantity Divide 8 and $2.88 The answer is. 0.36
6 0
3 years ago
What is between 3/8 in a number line
storchak [24]
Okay I hope this is what you mean. so if you are saying what is between the numbers 3 and 8 we can make an inequality which will cover all the small decimals between the numbers.

There are 2 different equalities that I'm not sure which one you want.

so the first one would be
3 \leqslant x \leqslant 8
x is just the variable I chose for this. Now this inequality means that both 3 and 8 are solutions to the problem. x represent all the little numbers in between so to test your answers just plugin the number you're testing in for x. Since 3 is the lowest number it will have a less than or equal to (in this case) sign and 8 is the greatest so that's why the open/greater side is facing the 8. It reads 3 is less than or equal to x and x is less than or equal to 8.

If you meant all number in between 3 and 8 not include either of those numbers than the inequality would be
3 < x < 8
In this case all the numbers between 3 and 8 are solutions but 3 and 8 will not be solutions. the line under the symbol means it includes the number which come before or after it. The inequality reads 3 is less than x which is less than 8. You can also plugin in an answer to test it in place of x.


If you have any questions or it turns out you meant somthing else please tell me and I'll be happy to help, sorry if this isn't what you meant in the question.
3 0
2 years ago
What do we call the statement that determines if the null hypothesis is rejected?
geniusboy [140]

Answer:

c) alternate hypothesis

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
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