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Marrrta [24]
3 years ago
6

Give a # that makes 10 - x < 5 true.

Mathematics
1 answer:
yaroslaw [1]3 years ago
3 0
40 or literally any number greater than 10.
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Find the quadratic function y=​f(x) whose graph has a vertex ​(−3​,4​) and passes through the point ​(−7​,0). Write the function
olganol [36]

Answer:

Step-by-step explanation:

This is a parabola since a quadratic is a parabola.  The standard form for a parabola is y = ax² + bx + c

but before we do that, we will use the vertex form, since it will make our work easier at the beginning.  

First and foremost, when we plot the vertex and the given point, the vertex is higher up than is the point; that means that this parabola opens upside down, and its vertex form will be

y=-|a|(x - h)² + k

The absolute value is out in front of the a, so we know that the value of a is positive, but the quadratic itself is negative (upside down) and we will find that math takes care of that negative that needs to be out front.  So we need to solve for a by filling in the x, y, h, and k values from the point and the vertex:  x = -7, y = 0, h = -3, k = 4

0 = a(-7 - (-3))² + 4 and

0 = a(-7 + 3)² + 4 and

0 = a(-4)² + 4 and

0 = a(16) + 4 and

0 = 16a + 4 and

-4 = 16a so

a=-\frac{1}{4}

Now that we know a, we can plug it back into the vertex form and then put it into standard form from there.

y=-\frac{1}{4}(x+3)^2+4

Now we will FOIL out what's inside the parenthesis to get

y=-\frac{1}{4}(x^2+6x+9)+4

Simplify by distributing the -1/4 into the parenthesis:

y=-\frac{1}{4}x^2-\frac{3}{2}x-\frac{9}{4}+4

Combine like terms to get

y=-\frac{1}{4}x^2-\frac{3}{2}x+\frac{7}{4}

And there you go!

5 0
3 years ago
A small coffee shop sells freshly squeezed juices in a refrigerated unit with slots where juice is displayed. These slots are ca
fgiga [73]

It should be noted that, according to the information provided, the single bar chart shows the projected proportion of sales based on the proportion of facings and the observed proportion.

Simply put, a bar chart is a bar graph. Rectangular bars that match the values shown are used to illustrate categorical data.

A bar chart, often known as a bar graph, is a diagram that displays categorical data as rectangular bars with heights or lengths proportional to the values they stand for. You can plot the bars either vertically or horizontally. A vertical bar chart may also be referred to as a column chart.

The bar chart's information reveals that the observed proportions for juice, mango, orange, apple, and pineapple are greater than the expected proportions.

Learn more about bar charts on:

brainly.com/question/17719884

#SPJ9

8 0
11 months ago
The answers are either: 12, 2, 8, or 10 please helppp
blsea [12.9K]

Answer: 10 I believe

Step-by-step explanation:

3 0
3 years ago
Convert to scientific notation: 0.0509.
fomenos

Answer:

5.09 × 10^-2

Step-by-step explanation:

You have to take the number go to the decimal and move it until you get to the first number and in this case, it is 5 put the decimal there. To write it you have to count the number of times you moved the decimal. when doing this it will always be a number times 10^ the number you moved the decimal.

5 0
3 years ago
Hono Golf is a manufacturer of golf products in Taiwan and China. One of the golf accessories it produces at its plant in Tainan
Elodia [21]

Answer:

Type I error.

Step-by-step explanation:

The decision to shut the process is triggered by the conclusion that the average height is significantly different from 66 mm.

This means that the null hypothesis, that states that the average height is not significantly different from 66 mm (μ=66), has been rejected.

If the null hypothesis is rejected, the error that can have been made is to reject a true null hypothesis, when the process is functioning to specification and the average length is not significantly different from 66.

This is a Type I error, that happens when a true null hypothesis is rejected.

4 0
2 years ago
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