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3 years ago

Which equation, when graphed, has x-intercepts at (-1,0) and (-5,0) and a y-intercept at (0, -30)?

Mathematics

1 answer:

Vladimir [108]3 years ago

7 0

If a function has roots -1 and -5, it must be in the form

$f(x)=a(x+1)(x+5)$

We can fix the coefficient a by imposing the passing through (0,-30):

$f(0)=-30=a(1)(5)\iff a=-6$

So, the function is

$f(x)=-6(x+1)(x+5)$

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When data are collected using a quantitative, ratio variable, what is true about a frequency distribution that summarizes the da

bazaltina [42]

When data are collected using a quantitative, ratio variable, a frequency distribution that summarizes the data is the upper and lower class limits must be calculated is the correct answer.

In this question,

A frequency distribution is used to display the number of observations within a particular interval. It groups data into categories, and records the number of observations in each category.

Frequency distributions are visual displays that organize and present frequency counts so that the information can be interpreted more easily. It is a graphical or tabular representation of data that shows the number of observations within a given value.

It provides the information of the number of occurrences (frequency) of distinct values distributed within a given period of time or interval, in a list, table, or graphical representation.

From the definition, when data are collected using a quantitative, ratio variable, a frequency distribution that summarizes the data is the upper and lower class limits must be calculated is the correct answer.

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The complete question is as follows,

When data are collected using a quantitative, ratio variable, what is true about a frequency distribution that summarizes the data?

A. A pie chart can be used to summarize the data, B. Upper and lower class limits must be calculated C. Number of classes is equal to the number of variable's values. D. The "5 to the k rule" can be applied.

6 0

1 year ago

Write an equation of the line, in standard form, containing the points (−6, 19) and (−15, 28).

Rudiy27

The equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Recall:

Equation of a line can be written in standard from as Ax + By = C, where Ax and By are all terms of variable x and y, and C is a constant.

The equation of a line in point-slope, $y - y_1 = m(x - x_1)$ , can be rewritten in the standard form.

Slope (m) = $\frac{y_2 - y_1}{x_2 - x_1}$

Given: (−6, 19) and (−15, 28)

Find the slope (m):

$m = \frac{28 - 19}{-15 -(-6)} = \frac{9}{-9} = -1$

Write the equation in point-slope form by substituting m = -1 and $(x_1, y_1) = (-6, 19)$ into $y - y_1 = m(x - x_1)$ .

$y - 19 = -1(x - (-6))\\\\y - 19 = -1(x + 6)$

Rewrite in standard form

$y - 19 = -1(x + 6)\\\\y - 19 = -x - 6\\\\y = -x - 6 + 19\\\\y = -x + 13\\\\\mathbf{x + y = 13}$

Therefore, the equation of the line that contains (−6, 19) and (−15, 28), in standard form, is: x + y = 13

Learn more about equation of a line in standard form on:

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2 years ago

Am i true S six C cruel H hours O of O our L Life

Licemer1 [7]

Answer:

yes school is amazing

4 0

2 years ago

Read 2 more answers

NEED HELP ASAP

ankoles [38]

Answer:

5 degrees

Step-by-step explanation:

Corresponding angles in a transversal are congruent. This can be proved by using the alternate exterior angles theorem, which would make these two angles alternate interior angles. With this, we can form a new equation.

Solve Algebraically

5x+23=7x+13

5x+10=7x

10=7x-5x

10=2x

3 0

2 years ago

You want to have an equal number of 5 noisemakers and 30 balloons at your party.What is the least number of packs of each you ca

Verizon [17]

Answer:

6 pk noisemakers (6 x 5 = 30 noisemakers)

1 pk balloons (1 x 30 = 30 balloons)

Step-by-step explanation:

divide 30 by 5, = 6

buy 6 packs noisemakers and one pack of balloons

4 0

3 years ago