Find f(-3) for the function: f(x)= -2x^2+5x+7 show steps

Answer:

18

Step-by-step explanation:

Area of a triangle: 0.5 x base x height

In this case: 0.5 x 9 x 4

hope this helps

have a good day

Answer:

Area =  18

Step-by-step explanation:

Formula

b*h /2

so

9 *4 /2

= 18

Answer:B.

Step-by-step explanation:

B.a translation 2 units to the right and 1 unit up followed by a counter-clockwise rotation 90° about the origin

Answer:

= 15km/hour

Step-by-step explanation:

Distance = 225km
Time = 15 hours

We will divide distance over time and then we will get the average speed so the average speed will be = 15 km\hour.

Answer:

Below in bold.

Step-by-step explanation:

Speed = distance / time

= 225/15

= 15 km/hour.

Answer:

DD

Step-by-step explanation:

If you distribute the 2 you get 12.2x + 14 so D

Answer:

B. 1

Step-by-step explanation:

imagining where 10 would be on the graph you can see that the line will cross with 1 missed shot

The result for the expression (cos 3x)(cos x) − (sin 3x)(sin x) is cos 4x.

Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.

In terms of functions of A and B, angle addition formulae express trigonometric functions of sums of angles A[tex]\frac{+}{_}[/tex]B.

cos (A+B) = cosA.cosB + sinA.sinB

The give equation is as follows,

(cos 3x)(cos x) − (sin 3x)(sin x)

Applying the sum formula,

= (cos 3x)(cos x) − (sin 3x)(sin x)

= cos(3x + x)

= cos 4x

Therefore, the result of the given equation is cos 4x.

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Answer:

Below.

Step-by-step explanation:

f(x)=3x^2-6x-45/x^2-5x

= 3x^2-6x-45 / (x(x - 5))

The denominator is zero when x - 0 and x = 5.

So there will be a vertical asymptote  at x = 0 and a hole at x = 5.

If we do the division  we get f(x)  = 3  remainder 9x - 45

so there will also be a horizontal asymptote where x = 3.

Answer:

Hole at (3, 4.8)

Asymptotes at x = 0 and y = 3

Step-by-step explanation:

[tex]f(x)=\dfrac{3x^2-6x-45}{x^2-5x}[/tex]

Factor the numerator:

[tex]\implies 3x^2-6x-45[/tex]

[tex]\implies 3(x^2-2x-15)[/tex]

[tex]\implies 3(x^2+3x-5x-15)[/tex]

[tex]\implies 3(x(x+3)-5(x+3))[/tex]

[tex]\implies 3(x-5)(x+3)[/tex]

Factor the denominator:

[tex]\implies x^2-5x[/tex]

[tex]\implies x(x-5)[/tex]

Factored form of function:

[tex]\implies f(x)=\dfrac{3(x-5)(x+3)}{x(x-5)}[/tex]

Discontinuity: a point at which the function is not continuous.

Holes

After factoring the rational function, if there is a common factor in both the numerator and denominator, there will be a hole at that point (x-value):

[tex]\implies (x-5)=0 \implies x=5[/tex]

Factor out the common factor from the function and input the found value of x into the new function to find the y-value of the hole:

[tex]\implies f(x)=\dfrac{3(x+3)}{x}[/tex]

[tex]\implies f(5)=\dfrac{3(5+3)}{5}=4.8[/tex]

Therefore, there is a hole at (5, 4.8)

Asymptotes

To find the vertical asymptotes, set the denominator of the new (factored) function to zero and solve:

⇒ Vertical Asymptote at x = 0

As the degrees of the leading terms of the numerator and denominator are equal (both x²), the horizontal asymptote is equal to the ratio of the leading coefficients.

⇒ Horizontal Asymptote at y = 3

Answer:

4

Step-by-step explanation:

each sandwich can be made on either white or whole grain. since there are only 4 options for sandwiches there are only 8 choices in total. ham w white or ham w grain, turkey w white turkey w grain, etc. so there is  a probabilty of 4. let me know if im right!

Answer:

The price per cup is $0.19

Step-by-step explanation:

In a quart there are 4 cups.

1.52÷4=0.38

But because there are 2 quarts you have to divide it by 2.

Which is 0.19

Thats the answer

Pls give Brainliest

Im desperate...

Answer:

I don't know what I'm doing

Step-by-step explanation:

9! = 362 880

6! = 720

362 880 / 720 = 504 = 384 + 5!

Answer:

9!/6! would be (9 x 8 x 7 x 6 x 5 x 4 x 3 x 2) / (6 x 5 x 4 x 3 x 2), which is 504.

Step-by-step explanation:

A factorial, by definition, is the product of a given whole number and each positive whole number less than itself. A factorial is denoted by an exclamation point (n!), with n being the number you want to find the factorial of.

Ex. 2! = 2 x 1 (you can get rid of the x1 because it does nothing)

     3! = 3 x 2

     4! = 4 x 3 x 2

     and so on...

Answer:

C. f(x) = 3(x+2)^5 + 1

Step-by-step explanation:

The basic equation take the form a(x-h)+k

We can plug in the values of 3 for a, 1 for k, and 2 for h, and get the equation f(x) = 3(x+2)^5 + 1

The coordinates of point A when it is rotated about 180 degrees will be (7,-4).

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Given that:-

As it is turned 180 degrees from its initial position ( -7,4) just opposite side of the origin so the new coordinates of the point will be (4,-7).

Therefore the coordinates of point A when it is rotated about 180 degrees will be (7,-4).

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Answer: 'X' = 24 degrees

Step-by-step explanation:

5 times 'X' = 120 degrees (because the formula is base times height divided by 2).

120 divided by 5 = 'X'

                            = 24

'X' = 24 degrees

Answer:

MN is correct

Step-by-step explanation:

A segment bisector passes through the midpoint of the segment and divides it in half. Since MN does both of these, it is the segment bisector.

Answer:

MN: 32

Step-by-step explanation:

Answer:

[tex]\cos(\theta - x)=\dfrac{33}{65}[/tex]

Step-by-step explanation:

Given:

[tex]\sin\theta=\dfrac{4}{5}\implies \cos \theta=\dfrac{3}{5}[/tex]

[tex]\cos x=-\dfrac{5}{13}\implies \sin x=\dfrac{12}{13}[/tex]

Using the trig identity:

[tex]\cos(A \pm B)=\cos A \cos B \mp \sin A \sin B[/tex]

[tex]\begin{aligned}\implies \cos(\theta - x) &=\cos \theta \cos x + \sin \theta \sin x\\\\&=\dfrac{3}{5} \cdot -\dfrac{5}{13} + \dfrac{4}{5} \cdot \dfrac{12}{13}\\\\&=-\dfrac{15}{65} + \dfrac{48}{65}\\\\&=\dfrac{33}{65}\end{aligned}[/tex]

sinø=4/5

so

And

cosx=-5/13

so

cos(ø-x)

Answer:

if all three side equal to another traingle than we can say SSS congruent criteria

if two side and one angle equal than we can say SAS criteria

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

When two lines are perpendicular, it means the lines intersect at a right angle and have opposite reciprocal slopes.The slope of perpendicular lines are the negative reciprocals of each other, and a pair of these lines intersects at 90 degrees.

To figure out d we need to use the formula:

- 1 / m

Plug in:

- 1 / - 1/3

Solve:

1/3

[tex]~~~~~~m_c \times m_d = -1\\\\\implies -\dfrac 13 \times m_d=-1\\\\\implies m_d = 3\\\\\text{The slope of line d is 3.}[/tex]

Using the vertex of the quadratic equation, it is found that:

The rocket will reach its peak height of 345 meters above sea level at 6.53 seconds.

A quadratic equation is modeled by:

[tex]y = ax^2 + bx + c[/tex]

The vertex is given by:

[tex](x_v, y_v)[/tex]

In which:

[tex]x_v = -\frac{b}{2a}[/tex]

[tex]y_v = -\frac{b^2 - 4ac}{4a}[/tex]

Considering the coefficient a, we have that:

In this problem, the equation is given by:

h(t) = -4.9t² + 64t + 136.

The coefficients are a = -4.9 < 0, b = 64, c = 136, hence the instant of the maximum height is given by, in seconds:

[tex]t_v = -\frac{64}{2(-4.9)} = 6.53[/tex]

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The mean of this test will be 57.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

The mean can be used to get an overall idea, or picture, of the data set.

Let Mean be 'm'

and standard deviation= [tex]\sigma[/tex]

So, m-2[tex]\sigma[/tex]=49

and, m + [tex]\sigma[/tex]=61

Solving the above two equation we get

[tex]\sigma =4[/tex]

Now, m= 61-[tex]\sigma[/tex]

           = 61-4

           = 57

So , the mean of this test will be =57

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The value of the 16 divided by one-eighth is 48 after simplification of the fraction.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that are +, -, ×, and ÷.

We have:

16 divided by one-eighth.

Here the option is not given, but we can solve the above expression.

= 16 ÷ (1/8)

= 16×8  (after simplification)

= 48

Thus, the value of the 16 divided by one-eighth is 48 after simplification of the fraction.

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Answer:

It is vertically stretched by a factor of 200 and shifted 10 units up.

Step-by-step explanation:

cool like that

It is vertically stretched by a factor of 200 and shifted 10 units up.

A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

You write functions with the function name followed by the dependent variable.

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The sides of the shaded triangle do not form a Pythagorean triple, therefore, it is not a right triangle.

A triangle is a right triangle if the square of its longest side equals the sum of the square of the other two smaller sides, based on the Pythagorean Theorem.

Using the Pythagorean Theorem, find the lengths of the legs of the shaded triangle, and find out the sum of their squares equals the length of the longest side.

First leg of the shaded triangle = √(8² + 6²) = 10

Second leg of the shaded triangle = √(8² + 9²) = 12

The third side (longest side) of the shaded triangle is 9 + 6 = 15.

15² = 10² + 12²

225 = 244 (not true)

Therefore, the shaded triangle is not a right triangle.

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Answer:

3

Step-by-step explanation:

Find the raised power (exponent) that is greatest in value in order to find the degree of a polynomial. In this example, the highest power is 3, so that is the degree of the polynomial.

hope this helps!

Answer:

[tex]\boxed{\bold{1}}[/tex]

Using Pedmas rule:

[tex]\dashrightarrow \sf \dfrac{17+6-6+6}{6+17}[/tex]

subtract: 6-6 = 0

[tex]\dashrightarrow \sf \dfrac{17+6}{23}[/tex]

simplify the following

[tex]\dashrightarrow \sf \dfrac{23}{23}[/tex]

the numerator and denominator cancels out

[tex]\dashrightarrow \sf 1[/tex]

Given statement:

The phrase "divided by" means division. Therefore,

⇒ (17 + 6 - 6 + 6) ÷ (6 + 17)

⇒ (17 + 6) ÷ (6 + 17)

Recall: A number divided by itself is 1

⇒ 1

Therefore, 1 is the solution to the expression.

Answer:

I think c sorry if wrong

Step-by-step explanation:

have a good day

Answer:

do you got an answer key

Step-by-step explanation:

Answer:

I think the total is 628.20$

Step-by-step explanation:

15*12=180

180*2.99=538.2

180*.5=90

90+538.2=628.2

Hope this helped :)

Answer:

C. 32%

Step-by-step explanation:

The percent 17 is of 25.

17 of 25 can be written as:

17/25

To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 100

17/25 * 100/100

= (17 * 100/25) * 1/100 = 68/100

Therefore, the answer is 68%

If Sara made 68% of her free shows, that means she didn't make 32% of her free throws (100 - 68 = 32).

Answer:

on the hypotenuse

Step-by-step explanation:

Circumcenter lies at the midpoint of the hypotenuse side of a right-angled triangle.