(9x² - 2x + 7) + (4x²+7x+2)
A. 13x²+9x-9
B. 13x²+5x+9
C. 5x²+5x÷5
D. 13x²+9x+9

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the the shape is going to end up in the third quadrant.the squadron only includes both negative X values and negative y values meaning that both X and y will be negative.

Answer:

Divide 757 by 68 so:

Step-by-step explanation:

757 / 68 = 11.9 so 757 can go into 68 11.9 times.

Hope this helps, have a good day! :)

(Brainliest would be appreciated?)

We are given the following function:

Part A. We are asked to determine the slope of the tangent line at "x = 4".

To determine the slope of the tangent line at a point "x = a" we use the following limit definition:

Now, we substitute the value of "x = 4" in the limit definition, we get:

Now, we determine the value of f(4) from the given function;

Solving the operations:

Now, we substitute the values in the limit:

Now, we take 7 as a common factor:

Now, we factor de denominator, we get:

Now, we cancel out the "x - 4":

Now, we substitute the values of "x = 4", we get:

Therefore, the slope is 49.

Part B. We are asked to determine the equation of the tangent line. We have that the general form of a line equation is:

From part A we have that the slope is 49, therefore, we have:

Now, we need to determine a point on the line to determine the value of "b". We already have that the point "x = 4" is part of the line. To determine the corresponding value of "y" we substitute in the given function:

Solving we get:

Therefore, the point (x, y) = (4, 84) is on the line. Substituting we get:

Solving the product:

Now, we subtract 196 from both sides:

Now, we substitute the value in the line equation:

Thus we have determined the equation of the tangent line.

Answer:

≈ 502

Step-by-step explanation:

The pie chart shows that shirts made up 11% of the sales made by the sporting goods store.

The number of sales that were shirts = 11% of the total sales

Total sales made by the store is given as 4,560

Number of sales that were shirts = 11/100 × 4,560

= 0.11 × 4,560

= 501.6

Number of sales made that were shirts is approximately 502.

Answer:

502

Step-by-step explanation:

501.6 to be exat

the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2 is V = 253.5 * (400/390) * (20/10) = 263.0 in^3

V = 253.5 * (T/390) * (20/P)

V = 253.5 * (400/390) * (20/10)

V = 263.0 in^3

The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. Knowing this, we can calculate the volume for any given temperature and pressure by using the formula V = 253.5 * (T/390) * (20/P). In this problem, the device was calibrated to give V=253.5 in^3 when T=390 degrees and P= 20 lb/in^2. To find the volume on this device when the temperature is 400 degrees and the pressure is 10 lb/in^2, we plug these values into the formula, which gives us V = 253.5 * (400/390) * (20/10) = 263.0 in^3.

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In statistics, a residual is defined as the difference between the predicted value of an outcome variable and the observed value of that variable. Residuals are used to evaluate how well a regression model fits the data.In order to calculate the residuals for a scatterplot, follow these steps:

Step 1: Plot the data on a scatterplot.

Step 2: Perform a regression analysis on the data to find the equation of the regression line. This equation should take the form y = mx + b, where y is the dependent variable, x is the independent variable, m is the slope of the line, and b is the y-intercept.

Step 3: Using the equation of the regression line, calculate the predicted value of y for each data point in the scatterplot.

Step 4: Subtract each predicted value of y from the actual value of y for each data point in the scatterplot. This difference is the residual for that data point.

Step 5: Plot the residuals on a new scatterplot. The x-axis of this scatterplot should be the independent variable, and the y-axis should be the residual values.

Step6: This scatterplot is called a residual plot.Residuals are useful for identifying patterns in data that the regression model fails to capture. If the residuals are randomly scattered around the horizontal axis, then the regression model is a good fit for the data. If there are clear patterns in the residual plot, then the regression model may not be a good fit for the data and further analysis is required.

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Answer:

(a) The mean and the standard deviation for the numbers of peas with green pods in the groups of 36 is 27 and 2.6 respectively.

(b) The significantly low values are those which are less than or equal to 21.8. And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is significantly​ low value.

Step-by-step explanation:

We are given that hybridization experiments are conducted with peas having the property that for​ offspring, there is a 0.75 probability that a pea has green pods.

Assume that the offspring peas are randomly selected in groups of 36.

The above situation can be represented as a binomial distribution;

where, n = sample of offspring peas = 36

            p = probability that a pea has green pods = 0.75

(a) The mean of the binomial distribution is given by the product of sample size (n) and the probability (p), that is;

                    Mean, \(\mu\)  =  n \(\times\) p

                                    =  36 \(\times\) 0.75 = 27 peas

So, the mean number of peas with green pods in the groups of 36 is 27.

Similarly, the standard deviation of the binomial distribution is given by the formula;

            Standard deviation, \(\sigma\)  =  \(\sqrt{n \times p \times (1-p)}\)

                                                  =  \(\sqrt{36 \times 0.75 \times (1-0.75)}\)

                                                  =  \(\sqrt{6.75}\)  =  2.6 peas

So, the standard deviation for the numbers of peas with green pods in the groups of 36 is 2.6.

(b) Now, the range rule of thumb states that the usual range of values lies within the 2 standard deviations of the mean, that means;

          \(\mu - 2 \sigma\)  =  27 - (2 \(\times\) 2.6)

                       =  27 - 5.2 = 21.8

          \(\mu + 2 \sigma\)  =  27 + (2 \(\times\) 2.6)

                       =  27 + 5.2 = 32.2

This means that the significantly low values are those which are less than or equal to 21.8.

And on the other hand, the significantly higher values are those which are greater than or equal to 32.2.

(c) The result of 15 peas with green pods is a result that is a significantly​ low value because the value of 15 is less than 21.8 which is represented as a significantly low value.

Answer:

260

Step-by-step explanation:

hope it helps

Answer:

When subtracting factions you need to have both denominators be the same

Let's use an example. . .

Step-by-step explanation:

1. \(\frac{3}{4} -\frac{1}{3}\)

We can see here our denominators aren't the same. To get them to be equal, we have to multiply them by each other.

2. \(\frac{3}{3} \cdot\frac{3}{4} -\frac{1}{3}\cdot \frac{4}{4}\)

Notice that when we do multiply, we also have to multiply the top! What's done to the bottom needs to be done to the top.

3. Let's go into the multiplication:

On the left side

Numerator: 3 · 3 = 9

Denominator: 3 · 4 = 12

On the right side

Numerator: 4 · 1 = 4

Denominator: 4 · 3 = 12

4. \(\frac{9}{12} -\frac{4}{12}\)

Now all we do here is subtract the numerator. The denominator does not get subtracted, it stays the same.

5. \(\frac{9}{12} -\frac{4}{12} =\frac{5}{12}\)

Tada!

The most important thing to remember is

Step-by-step explanation:

yf.bfz

vcg ,kgu nkkgfgvvxvh

Answer:

ummmm

Step-by-step explanation:

4271

7645

9822

0378

Answer: Start by listing the first five multiples of each number. Then circle the common multiples. Finally, identify the least of these common multiples. The LCM of 8 and 10 is 40.

Step-by-step explanation:

Answer:

Start by listing the first five multiples of each number. Then circle the common multiples

Step-by-step explanation:

The statement which is true about the quadrilateral is D. Some rhombuses have four right angles.

Quadrilaterals are four sided polygons which also have four vertices and four angles.

Sum of all the interior angles of a quadrilateral is 360 degrees.

Rectangles, squares, trapezium, parallelogram, rhombus are all quadrilaterals.

A. All squares are rectangles but all rectangles are not squares, since for squares, all sides need to be equal.

But for a rectangle, opposite sides only need to be equal.

B. A rhombus has all the sides equal and opposite sides are parallel.

So there are 2 pairs of parallel sides.

C. A trapezoid can have only one pair of sides parallel.

D. Some rhombuses have four right angles.

This is true since square is a rhombus and it has 4 right angles.

Hence the true option is D.

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Answer:

\(x=10\)

Step-by-step explanation:

Set up a proportion with corresponding sides. The two sides marked with a small line in them represent that those sides are equal. Therefore, the side marked 30 is broken into two lines of equal length (each 15).

Thus, we can set up the following proportion:

\(\frac{x}{20}=\frac{15}{30},\\\\30x=300,\\\\x=\boxed{10}\)

Answer:

Step-by-step explanation:

\(1) \dfrac{4}{5}+\dfrac{3}{8}\\\\\dfrac{4}{5} \ \text{is a rational number} \ and \ \dfrac{3}{8} \ \text{is a rational number}\\\\\dfrac{4}{5}+\dfrac{3}{8} \ \text{is also a rational number}\)

\(b) \sqrt{100}+\sqrt{5} = 10+\sqrt{5}\\\\\sqrt{5} \ \text{is a irrational number}. \\\\ \text{Rational number added to irrational number will result in an irrational number}\\\\10 + \sqrt{5} \ is \ not \ a \ rational \ number.\)

c)

\(7\sqrt{5}-\sqrt{245}=7\sqrt{5}-\sqrt{7*7*5}\)

                   \(= 7\sqrt{5}-7\sqrt{5}\\\\=0\\\\\text{\bf $ 7\sqrt{5}-\sqrt{245}$ ia a rational number}\)

d)

\((4\sqrt{7})*(2\sqrt{7})=4*2*\sqrt{7*7}\\\)

                       = 4*2*7

                       = 56

\(4\sqrt{7}*2\sqrt{7} \ \text{\bf is a rational number}\)

x = 1

So to figure this out we can readjust the equation to make it easier to solve

\(f(x) = 6x^2\) is equal to \(6x^2 = 6\)

From here we can simplify to get our answer!

\((6 / 6)x^2 = (6 / 6)\\x^2 = 1\\x = \sqrt{1}\\x = 1\)

It is TRUE that the given image represents the function.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

Initially, functions represented the idealized relationship between two changing quantities.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

So, the given image represents a function and it is a kind of many-to-one function.

Therefore, it is TRUE that the given image represents the function.

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The meaning of the absolute value in this problem is given as follows:

The temperature decreased 1.2 degrees.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

The number for this problem is -1.2, hence:

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Answer:

x = 8

Step-by-step explanation:

Plug 8 into the function as x

t(x) = 3r

t(8) = 3(8)

t(8) = 24

\(x-9z^5+4z+11+2z^5+14=-5z^5-3z+25\\x=2z^5-7z\)

Therefore, it's \(2z^5-7z\).

10-10=69.420!!!!!!!!!!

Answer:

the answer would be 19.

Step-by-step explanation:

-8+8=0

0+19=19

Answer:

19

Step-by-step explanation:

An equation of the new graph is: A. y = ∣x - 4∣ - 9.

In Mathematics and Geometry, the translation of a graph to the right simply means a digit would be added to the numerical value on the x-coordinate of the pre-image:

g(x) = f(x - N)

Conversely, the translation of a graph downward simply means a digit would be subtracted from the numerical value on the y-coordinate (y-axis) of the pre-image:

g(x) = f(x) + N

Since the parent function y = ∣x∣ was translated 4 units to the right and 9 units down in order to produce the graph of the image, we have:

y = ∣x - 4∣ - 9

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Infinitely many solutions.

Step-by-step explanation:

Let's solve your system by elimination.

x−3y=9;−x+3y=−9

x−3y=9

−x+3y=−9

Add these equations to eliminate x:

0=0

Answer:

Infinitely many solutions.