Given the function 7x – 10 x < 0 f(x) 73 – 20 > 0 Calculate the following values: f( - 1) = f(0) f(2)=

The discriminant is equal to zero (Δ = 0), the quadratic equation has a real double solution. And when the discriminant is less than zero (Δ < 0), the quadratic equation does not have real solutions, but it does have complex conjugated solutions.

If in a quadratic function the discriminant is greater than zero, it means that the function has two real and distinct roots. The discriminant of a quadratic function is calculated using the formula Δ =  - 4ac, where "a", "b" y "c" are the coefficients of the quadratic function in the standard form \(ax^2\)+ bx + c = 0.

When the discriminant is greater than zero (Δ > 0), this indicates that the quadratic equation has different real solutions. That is, the parabola associated with the quadratic function intersects the x-axis at two distinct points. This implies that the function has two different real roots, which can be visualized as points intersecting with the x-edge in the graph of the function.

It is important to note that when the discriminant is equal to zero (Δ = 0), the quadratic equation has a real double solution. And when the discriminant is less than zero (Δ < 0), the quadratic equation does not have real solutions, but it does have complex conjugated solutions. In this last case, the parabola does not intersect the edge x y and has no real points of cut.

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Step-by-step explanation:

m^2+ n^2 = (-5)² + 3² = 25+9 = 34

Answer:

34

Step-by-step explanation:

Edmentum/Plato

Answer:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Step-by-step explanation:

Production:

                                      Flour      yeast     Almond paste      Profit $

Bear claws B  (x₁)            6 ou       1 ou            2 TS                   0.2

Almond-filled ( x₂)          3 ou       1  ou           4 TS                   0.3

Availability                    6600      1400           4800

The Model:

z  =   0.2*x₁   +  0.3*x₂       to maximize

Subject to

1.-Quantity of flour   6600 ou

6*x₁  +  3*x₂   ≤  6600

2.-Quantity of yeast  1400 ou

1*x₁   +   1*x₂   ≤  1400

3.-Quantity of Almond paste   4800 TS

2*x₁   +  4*x₂   ≤  4800

General constraints:

x₁ ≤  0    x₂  ≤ 0   both integers

After 6 iterations using an on-line solver. Optimal solution is:

x₁  =  400    x₂  =   1000

z(max)  =  380 $

Answer:

The perimeter of this rectangle is 10 cm.

Answer:

-320

Step-by-step explanation:

-2×5 (-4×-8)

-10(32)

-10×32

-320

Answer:

  $142.32, profit on sale of the policy

Step-by-step explanation:

You want to know the expected value of a $280,000 life insurance policy sold for $270, if the probability the insured will live for the year is 0.999544.

The insurance company expects to have to pay the $280,000 death benefit for 0.000456 of the policies issued. That means their expected payout on any one policy is ...

  0.000456 × $280,000 = $127.68

The company gets a premium of $270 for the policy, so the expected value of the policy to the company is ...

  $270 -127.68 = $142.32

The expected value of the policy to the company is $142.32.

This represents its profit from sale of the policy.

__

Additional comment

Of course, the company has expenses related to the policy, perhaps including a commission to the agent selling it, and expenses related to handling claims. That is to say that not all of the difference between the premium and the average death benefit is actually profit. It is what might be called "contribution margin."

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Answer:

equation.

B.divide each side equation by 3.

∠A = 41.81°

To get measure of angle A, we would apply trigonometry ratio SOHCAHTOA:

opposite = side opposite the angle = 4

hypotenuse = 6

adjacent = base = AC = ?

Since we have been given the opposite and the hypotenuse, we would use the sine ratio:

Sin A = opposite/hypotenuse

Sin A = 4/6

sin A = 0.6667

A = 41.8129 degrees

To the nearest hundredth, ∠A = 41.81°

Answer:

CDE is congruent to JIK

Step-by-step explanation:

:D

Answer:

Step-by-step explanation:

The perimeter of the triangle shown is 17x units. The dimensions of the triangle are given in units. Which equation can be used to find the value of x?

7x + 15 + 15 = 17x

30 = 10x

x = 3

--------------------

check

7×3+15+15=17×3

21 + 30 = 51

51=51

the answer is good

Answer:

17x=30+7x

Step-by-step explanation:

we can rewrite cos³(x) in terms of first powers of cosine as:

cos³(x) = (1/4)(3cos(x) + cos(3x))

What is power-reducing identity?

trigonometric identities that enable us to translate higher-order trigonometric expressions into lower-order trigonometric expressions.

We can use the power-reducing identity:

\(cos^3(x) = (1/4)(3cos(x) + cos(3x))\)

To see how this identity is derived, we start with the double-angle identity:

\(cos(2x) = 2cos^2(x) - 1\)

Rearranging this equation, we get:

\(cos^2(x) = (1/2)(1 + cos(2x))\\\\cos^3(x) = (1/2)cos(x)(1 + cos(2x))\\\\cos^3(x) = (1/2)cos(x) + (1/2)cos(x)cos(2x)\\\\cos^3(x) = (1/2)cos(x) + (1/2)cos(x)[2cos^2(x) - 1]\\\\cos^3(x) = (1/2)cos(x) + (1/2)(2cos^3(x) - cos(x))\\\\cos^3(x) = (1/4)(3cos(x) + cos(3x))\)

Therefore, we can rewrite cos³(x) in terms of first powers of cosine as:

cos³(x) = (1/4)(3cos(x) + cos(3x))

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Answer:

-6

Step-by-step explanation:

Let the number be 'x'

Sum of a number and one = x + 1

Sum of a number and one is doubled = 2*(x +1) = 2*x + 2*1 = 2x + 2

Four less than the number = x - 4

2x + 2 = x - 4

Subtract 'x' from both sides

2x - x + 2 = x - x - 4

x + 2 = -4

No, subtract 2 form both sides

x + 2 -2 = - 4 - 2

x = -6

Based on the information, we can infer that graph B is the one that correctly expresses the expenses that Sara and her friends will have.

To identify the graph that correctly expresses the information we must analyze the information. In this case we must take into account the fixed expenses that Sara and her friends will have, which is $7. This would be the starting point of the graph line.

On the other hand, all the values that represent an additional expense will mean an increase in this graph. So, we can infer that the correct chart is B because it starts at the value of $7.

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Answer:

this is called as ascending order, it is when numbers are arranged from least to greatest

here is the answer:

ivan:0.58

pete:0.537

kat:0.4996

Step-by-step explanation:

so you have to look at the nmbers and how many digits they have for example,

ivan's number has 3 digits so its the least

kat has 5 digits so its the greatest

Answer:

70.01 so 70

Step-by-step explanation:

Answer:

70

Step-by-step explanation:

600 - 529.99 = 70.01

70.01 is rounded to 70

Answer is 70

Answer:

25

Step-by-step explanation:

2=10

4=10

5=5

Answer:

is is 35

Step-by-step explanation:

asdfasdf

Answer:

20

Step-by-step explanation:

She bought 5 pairs of socks which are 3 dollars each

(5 times 3 = 15 )

With the 25 dollar shorts

( 25 + 15 = 40 )

with a coupon of half off

( 40 divided by 2 = 20)

Answer:

Step-by-step explanation:

\(\sf -2y+5=-11\)

\(\sf -2y+5-5=-11-5\)

\(\sf -2y=-16\)

\(\sf \frac{-2y}{-2}=\frac{-16}{-2}\)

\(\sf y=8\)

Plug the formula into Desmos and even just visually

C.  " y = -6x - 8

is the answer

The equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8. Option C is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, the function is,f(x) = 1 – x²

We have to find the equation of the line tangent to the function f(x) = 1 – x² at x = –3.

Determine the function's first derivative f(x), To get the slope at a given location, plug the specified point's x value into f'(x). To determine the tangent point's y coordinate, plug the value of x into f(x). The point-slope formula may be used to combine the slope from step 2 with the point from step 3 to produce the equation for the tangent line.

Thus, the equation of the line tangent to the function f(x) = 1 – x² at x = –3 will be y = –6x – 8.Option C is correct.

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The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

From the question, we have the following function definition that can be used in our computation:

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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Answer:

D

Step-by-step explanation:

I did it and got it right on khan

Answer:

D, Neither

Step-by-step explanation:

Answer:

y+2=4(x-1)

y-6=4(x-3)

Step-by-step explanation:

Slope between (3, 6) and (1, -2)

6-(-2)/3-1

8/2

4

y+2=4(x-1)

y-6=4(x-3)

Answer:On three of the percentage points you improved your average score.

Step-by-step explanation:I hope this helps.

Answer:

75 + 85 + 90 + 90 + 100 + 75 + 80 + 100 + 90 = 785

785/9 = 87.2

85 + 85 + 100 + 90 + 100 + 85 + 80 + 100 + 90 = 815

815/9 = 90.5

90.5 - 87.2 = 3.3

Round 3.3 to the nearest percent = 3%

Renee’s layaway fee is $15.95, her down payment is $31.90, and her weekly payments are $7.98 each.

We are given that;

Combined price of the items = $318.95

Layaway fee=5%

Down payment=10%

Now,

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The layaway fee by multiplying the item price by 5%. The formula is: layaway fee=item price×0.05

The down payment by multiplying the item price by 10%. The formula is: down payment=item price×0.1

Calculate the weekly payment by multiplying the item price by 15% and dividing it by 6. The formula is: weekly payment=6item price×0.15​

Plugging in the given values and simplify the expressions. Here are the calculations:

layaway fee=318.95×0.05=15.95

down payment=318.95×0.1=31.90

weekly payment=6318.95×0.15​=7.98

Therefore, by percentage the answer will be $15.95, $31.90, and $7.98

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Thus, the places where the function intersects the x-axis are represented by the roots of the function, which are also the x-intercepts of the function's graph.

A quadratic in mathematics is a particular kind of equation that involves squaring, or multiplying a number by itself. This terminology comes from the fact that a square's area equals the product of its side length and itself. Quadratum, the Latin term for square, is where the word "quadratic" originates.

The given function is a quadratic function with two roots, x=2 and x=6. f(x) = (x-2)(x-6)

When we set f(x) equal to zero, we get:

0 = (x-2)(x-6)

This means that the roots of the function are x=2 and x=6, since these are the values of x that make the expression on the right-hand side equal to zero.

We can also see that the function changes sign at the roots. Between x=2 and x=6, the expression (x-2) is positive and (x-6) is negative, so their product is negative and the function f(x) is negative.

On either side of the roots, the signs of the factors switch, so the product is positive and the function is positive.

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