Simplify the expression:
(6x² − x + 5)
minus
(8x² + 8x-7)

The solutions of the given quadratic equation are:

[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]

Here we have the quadratic equation:

[tex]x^2 = -7x - 8[/tex]

To solve it, we can rewrite it as:

[tex]x^2 + 7x + 8 = 0[/tex]

Now if we use Bhaskara's formula, we get the solutions:

[tex]x = \frac{-7 \pm \sqrt{(7)^2 - 4*1*(8)} }{2} \\\\x = \frac{-7 \pm \sqrt{17} }{2}[/tex]

Then the two solutions are:

[tex]x = \frac{-7 + \sqrt{17} }{2} \\\\x = \frac{-7 - \sqrt{17} }{2}[/tex]

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Answer:

sorry but i need the answer too pls answer the question

Answer:

true

false

true

false

true

Zgadza się. Objętość jest miarą trójwymiarową, którą się mierzy z m³, dm³, cm³, mm³, itd.

The events are not independent.

The probability of selecting a football card and a basketball card is 0.16.

Probability is the odds that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability of selecting a football card and a basketball card = (number of football cards / total number of cards) x (number of basketball cards / total number of cards)

2/10 x 8/10 = 0.16

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Answer:

Rounded to 0.42. Not rounded: 0.41729656785

Step-by-step explanation:

24/25 = 0.96

11/61 = 0.180327869

Add those together.

Answer for that: 1.14032787

Find the cos for the answer.

Which is 0.41729656785 to 0.42

Answer:

2(12 + π)

Step-by-step explanation:

This will get you about 30and even by just counting squares you will get the closest to this answer.

The difference of the earnings of movies C and D for that week is $10,652,270.46 .

Subtraction is used to determine the difference between two or more numbers.

The difference = earnings of movie D - earnings of movie C

$34.311,887.98 - 23,659,617.52 = $10,652,270.46

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Answer:

I disagree.

Step-by-step explanation:

The reasoning may be wrong but I believe it is disagree.

I am going to keep it simple.

On the spinner there are 4 options, 3 for red and 1 for yellow.

Therefore, we have a 1/4 chance to get a yellow once.

If we get a yellow again, it is another. 1/4 chance.

1/4 x 1/4 is 1/16, considerably smaller than 1/3.

Answer:

From inspection of the diagram, we can see that the spinner is divided into 4 equal parts, where 3 parts are red and 1 part is yellow.

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

Therefore,

[tex]\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}[/tex]

[tex]\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}[/tex]

Multiplication Rule for Independent Events

For independent events A and B:

Therefore,

[tex]\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}[/tex]

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)

First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.

We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.

[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]

This means your slope is 2, which means [tex]m[/tex] is 2.

Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.

Now we can plug in the values into our original equation to get the equation of the line.

[tex]y = 2x - 5[/tex]

That is the answer

- Kan Academy Advance

Answer:

mRQ = 50

Step-by-step explanation:

180-130=50

The x-intercept of the line is (4, 0)

The x-intercept of a line is the point where the line crosses the x-axis. Given the equation below:

y=3/4x-3

The x-intercept occurs at the point where y = 0. Substitute:

0 = 3/4x - 3

3/4x  = 3

3x = 12

x = 4

Hence the x-intercept of the line is (4, 0)

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Answer:

C.) y = -2x + 5

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept.

You were given the value of "m" (-2). You were also given an "x" variable and "y" variable from a point (3,-1). You can plug these variables into the equation and simplify to find "b".

m = -2        x = 3       y = -1

y = mx + b                         <---- General structure

y = -2x + b                         <---- Plug -2 in for "m"

-1 = -2(3) + b                      <---- Plug "x" and "y" values in from point

-1 = -6 + b                          <---- Multiply -2 and 3

5 = b                                  <---- Add 6 to both sides

Therefore, the equation of the line is:

y = -2x + 5

The first step is to convert feet to yards.

1 feet = 1/3 yards

Volume of the dirt hauled away = 16 x 13 x 3 = 624 yards³

Number of trips needed to haul away the dirt = 624 / 11 = 56. 7 = 57 trips

Total cost = 57 x 1175 = $66,975

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Answer:

you need to calculate the areas for each side of the figure and then add it all up

Step-by-step explanation:

Answer:

hundred

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Answer: C

Step-by-step explanation:

Answer:

The answer is 21

Step-by-step explanation:

This should help you

A function assigns the values. The value of (f+g)(x) is (5x³ - 4x² - 6x - 7).

A function assigns the value of each element of one set to the other specific element of another set.

Given F(x)=2x²+6x-4 and G(x)=5x³-6x²-3, therefore, the value of (f+g)(x) is,

(f+g)(x) = f(x) + g(x)

           = 2x²+6x-4 + 5x³-6x²-3

           = 5x³ - 6x² + 2x² - 6x - 4 - 3

           = 5x³ - 4x² - 6x - 7

Hence, the value of (f+g)(x) is (5x³ - 4x² - 6x - 7).

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An explanation for 4 < x < 7 is that 4 is less than and x is less than 7.

The mathematical expression that is given is 4 < x < 7. It should be noted that this implies that 4 is less than and x is less than 7.

In this case, the appropriate values that can fit x in this situation will be 5 and 6.

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Answer:

[tex] \frac{1}{8} [/tex]

Step-by-step explanation:

it's so simple dude

Answer:

need more information to answer for you.

Step-by-step explanation:

Sometimes. p ⇒ q is true if both p and q are true, or whenever p is false.

Always. ¬ p ⇒ ¬q is true if ¬p and ¬q are both true (which means p and q are both false), or whenever ¬p is false (p is true).

The difference of the given functions is x^2 + 10

Given the following functions

f(x) = 2x^2 + 3 and

g(x)=x^2-7

Take the difference

(f-g)(x) = 2x^2 + 3 - (x^2 - 7)

(f-g)(x) = 2x^2 - x^2 +3 + 7

(f-g)(x) = x^2 + 10

Hence the difference of the given functions is x^2 + 10

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Answer:

2nd option

Step-by-step explanation:

using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

given

6xy³z × 3x²yx²

= 6 × 3 × x × x² × x² × y³ × y × z

= 18 × [tex]x^{(1+2+2)}[/tex] × [tex]y^{(3+1)}[/tex] × z

= 18[tex]x^{5}[/tex][tex]y^{4}[/tex]z

Answer:4.6

Step-by-step explanation:

Use the pythagorean theorem, then find the square root using your calculator.