Which description matches the transformations y = cosx undergoes to
produce y = -3cos(x)+1?
A. Horizontal shift left 3 units, then vertical shift up by 1 unit
B. Horizontal compression by factor 3, vertical shift by 1 unit up, then a reflection across the x-axis
C. Vertical stretch by factor 3, reflection across the x-axis, then a
vertical shift up 1 unit
D. Reflection across the y-axis, vertical shift up by 1 unit, horizontal shift right by 3 units

Answer:

Step-by-step explanation:

To put a quadratic into vertex form, you need to complete the square on it. Do this by following these steps. I'll tell you what we're doing and then show you what it looks like.

First step is to set the quadratic equal to 0 and then move the constant over. That's 2 steps in one, but not confusing at all. That looks like this:

[tex]2x^2-16x=-30[/tex]

Next, the rule is that the leading coefficient has to be a positive 1.  Ours is a 2, so we will factor out a 2 but only from the left side. That looks like this:

[tex]2(x^2-8x)=-30[/tex]

Next step is to take half the linear term (the number with the x attached to it, not the x-squared), square it, and add it in to both sides. This is where things get a bit tricky, so pay attention. Our linear term is 8, half of 8 is 4, and 4 squared is 16. So we add 16 in. We'll do it to the left only first:

[tex]2(x^2-8x+16)[/tex]

That's the left side.  Notice that there is still a 2 out front there. That 2 is a multiplier. That means that what we actually added in was 2(16) = 32, not just 16. Now adding that to the right makes the whole thing:

[tex]2(x^2-8x+16)=-30+32[/tex]

Completing the square allows us to create a perfect square binomial on the left which is in the form (x -   )². That blank space is filled in with the number we squared and then added in. We squared a 4 to get 16, so our perfect square binomial is (x - 4)². Putting that together:

[tex]2(x-4)^2=2[/tex]

Last step is to move the constant back over and set the quadratic back equal to y:

[tex]y=2(x-4)^2-2[/tex]

From here the vertex is apparent. It is (4, -2).

Answer:

24-8d

Step-by-step explanation:

4✖️6=24

4✖️(-2d)=-8d

=24-8d

Hope this helps, BRAINLIEST would help me:)

Answer:

-8d + 24.

Step-by-step explanation:

4(6 - 2d)

= 4 * 6 - 4 * 2d

= 24 - 8d

= -8d + 24

Hope this helps!

Answer:

the second one, you see:

first one [tex]=-3(2^{2} ) -4=-3(4)-4=-16[/tex]

[tex]g(x)=4(2+3)^{2} -68=4(5)^{2} -68=4(25)-68=100-68=32[/tex]

Answer:

13

Step-by-step explanation:

The number of sheets of paper that were cut is 2 sheets

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The number of sheets of paper = 7 sheets

The number of pieces they were cut = 3 pieces

The new total number of sheets of paper = 13 sheets

So ,

The difference in sheets of paper =
new total number of sheets of paper - number of sheets of paper

The difference in sheets of paper = 13 - 7

                                                        = 6 sheets

Now , each paper is cut into 3 extra sheets

So , the number of papers cut =
The difference in sheets of paper / number of pieces they were cut

The number of papers cut = 6 / 3

                                           = 2 sheets of paper

Hence , the number of sheets of paper that were cut is 2 sheets

To learn more about equations click :

https://brainly.com/question/10413253

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Answer:

C = 600 + 50s

Step-by-step explanation:

Let s be the number of students that go on the trip.

Let C be the cost.

The bus costs $600 and the entry fee (for each student) costs $50.

The cost for the trip will be the sum of the cost of the bus and the ticket for every student that goes on the trip.

This implies that the total cost for the trip will be:

C = 600 + 50(s)

C = 600 + 50s

Answer:

1.17

Step-by-step explanation:

1 £ = 1.25 dollars

1 Euro = 1.07 dollars

=> 1 £ = (1.25/1.07) Euros = 1.17 Euros

Answer: y = (-3x/2) + 1

Step-by-step explanation:

From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.

Hence the equation will be

y = (-3x/2) + c

As this line passes through (-2,4), putting these values in this equation gives  c = 1.

Hence the answer is y = (-3x/2) + 1

Answer:

x= -7/4

Step-by-step explanation:

8x= -14

Divide both sides by 8

8x/8 = -14/8

Simplify

x= -7/4

Answer:

x=-7/4 is an improper fraction

Step-by-step explanation:

8x=-14

dividing 8 on both sides

x=-14/8

cancelling by 2

x=-7/4

i hope this will help you :)

Answer:

[tex]\boxed{ x = 12}[/tex]

Step-by-step explanation:

Given Equation is:

[tex]\frac{-3}{2} (x) - 9 = -27[/tex]

Adding 9 to both sides

=> [tex]\frac{-3x}{2} = -27+9[/tex]

=> [tex]\frac{-3x}{2} = -18[/tex]

Multiplying 2 to both sides

=> -3x = -18 * 2

=> -3x = -36

Dividing both sides by -3

=> x = 12

Answer:

B.

Step-by-step explanation:

When you use your debit card, you are purchasing something and using money. Therefore, you are withdrawing money from your account to pay for an item.

Hey there! :)

Answer:

x = -4.

Step-by-step explanation:

We can write an algebraic equation to express this situation.

Let 'x' represent a number:

4(2x + 6) = -8.

Begin by dividing both sides by 4:

2x + 6 = -2

Subtract 6 from both sides:

2x + 6 - 6 = -2 - 6

2x = -8

Divide 2 from both sides:

2x/2 = -8/2

x = -4.

Answer : -4

Step-by-step explanation:

Let the no. be x

4(2x+6) = -8

8x+24 = -8

8x = -8 - 24

8x = -32

x= -32 / 8

x= -4

Answer:

y=65

x=50

Step-by-step explanation:

exterior angle of a triamgle is equal to sum of two interior angles

so

2y=130(as it is isosceles triangle)

y=65

we know y+y+x=180(sum of all angles of triangle)and (vertically opposite angle)

therefore, x=50

Answer:

x=50°

y=65°

Step-by-step explanation:

I guess it would be better if there were alphabets representing each vertices otherwise it would difficult for you to understand

Let's take the point of intersection as O

Since It is a straight line(on both sides of O)=180°

Therefore x=180°-130°=50°

In the second triangle the angle at the top = 50° because x and that angle are vertically opposite to each other and therefore are equal

When the two sides of a triangle are equal, The base angles are always equal

Second triangle is 180°

The top angle is 50°

the base angles (which y and the angle below it)

is equal to 180°-50°=130°

Since base angles are equal and their sum is 130°, One base angle which is Y = 130°÷2=65°

Answer:

61.1 m is the correct answer.

Step-by-step explanation:

Given that

Brittany's kite has a string length = 65 m

Angle of elevation of kite = [tex]70^\circ[/tex]

A right angled triangle can be constructed for the given situation.

Please refer to the attached figure.

[tex]\triangle BFK[/tex] in which B is the position of Brittany.

K is the position of kite and

F is the point of field above which the kite is flying.

Given that the side BK = 65m

[tex]\angle B = 70^\circ[/tex]

To find, side FK = ?

We can use sine trigonometric identity to find the value of FK.

We know that :

[tex]sin\theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\Rightarrow sinB = \dfrac{FK}{BK}\\\Rightarrow sin70 = \dfrac{FK}{65}\\\Rightarrow FK = 65 \times 0.94\\\Rightarrow FK = 61.1\ m[/tex]

Hence, the answer is 61.1 m.

The correct answer is 3780 bolts

Explanation:

In one hour the machine can make either 500 nuts or 840. Now, if the machine first made 750 nuts, this means the machine worked 1.5 hours. You can know this using the rule of three:

500 nuts  (a)  = 1 hour (b)

750 nuts  (c) = x (time spent to make 750 nuts)

x = 750 x 1 / 500

x = 1.5

Note: In a rule of three you find the fourth unknown value if you multiply value b by c and divide it by the value a.

According to this, the machine worked 1.5 hours making nuts, and if the machine started at 2 pm, this means the machine ended making nuts at 3.30 pm as 2 pm + 1.5 hours = 3:30 pm (2 + 1.5 = 3.5 ). Now you know the machine made bolts from 3: 30 pm to 8:00 p.m. This means the time the machine made bolts was 4 and a half hours or 4.5 hours (8 - 3.5 = 4.5). At this point, the only missing step is to multiply the time 4.5 hours by the number of bolts the machine makes each hour 840 and this is equivalent to 3780 bolts (840 x 4.5 = 3780).

Answer:

125 min

Step-by-step explanation:

given :

4 words -----> takes 1 min

1 word --------> takes 1/4 min

500 words ------> takes (1/4) x 500 = 125 min

Answer:

It will take 125 minutes

Step-by-step explanation:

Because 500/4 = 125

Answer:

i) Area of the ring = 462cm²

ii) Perimeter of the ring = 132cm

A complete question related to this found at brainly (ID: 19152996) is stated below:

Calculate the area and perimeter of the following ring where a = 7cm, b = 14cm (i) Area of Ring (ii) The perimeter of Ring

Find attached the diagram.

Step-by-step explanation:

a= smaller radius = 7cm

b= bigger radius = 14cm

i) Area of the ring = Area of larger circle - Area of smaller circle

Area of circle = Area of a ring = πr²

π =22/7

Area of larger circle = (22/7)(14)² = 22×28

Area of larger circle = 616cm²

Area of smaller circle = (22/7)(7)² = 22×7

Area of smaller circle = 154cm²

Area of the ring = 616 - 154 = 462cm²

ii) Perimeter of ring = Perimeter of larger circle + Perimeter of smaller circle

Perimeter of circle = 2πr

When r = 7cm and π = 22/7

Perimeter of smaller circle = 2×(22/7)×7 = 2×22

Perimeter of smaller circle = 44cm

When r = 14cm and π = 22/7

Perimeter of larger circle = 2×(22/7)×14 = 4×22

Perimeter of larger circle = 88cm

Perimeter of ring = 88+44 = 132cm

Answer:

The answer is B. 12,34 cm .....:)

Answer:

x²−25

Step-by-step explanation:

CLT:

Apply the formula (a-b)(a+b) = a^2*b^2. Substitute 'x' for 'a' and y for 'b'.

(x+5)(x−5)

=(x+5)(x+−5)

=(x)(x)+(x)(−5)+(5)(x)+(5)(−5)

=x²−5x+5x−25

=x²−25

Thats a lot of x's

Hope this helps!

If it does please give me a 'thanks'

Answer:

[tex]x^{2} -25[/tex]

Step-by-step explanation:

[tex](x+5)(x-5)[/tex]

[tex](x*x)(x*-5)(5*x)(5*-5)[/tex] multiply the insides by their opposites

[tex]x^{2}-5x+5x-25[/tex] this can also be shown as [tex]x^{2}+5x-5x-25[/tex]

[tex]x^{2} -25[/tex] the [tex]5x[/tex] and [tex]-5x[/tex] cancle each other out

Answer:

An acute angle is greater than 0 and less than 90

Step-by-step explanation:

An acute angle is greater than 0 and less than 90

A right angle is 90 degrees

An obtuse angle is greater than 90 and less than 180

Answer:

Between 0 and 90 because think of a cute baby they are small put it to angles they are smaller than an obtuse angle and so on.

Step-by-step explanation:

Answer:

xy=10

Step-by-step explanation:

Vary inversely means x and y have a constant product.  The graph is not a straight line.  We find the product from the given set of values a=2, b=5 to get ab=10.  Therefore xy=10 is the equation.

Answer:

y = 4/3x - 8

Step-by-step explanation:

slope of given line is -3/4 so the perpendicular slope is 4/3

line goes through (6, 0)

y = mx + b

0 = 4/3(6) + b

-8 = b

y = 4/3x - 8

Answer:

Answer A

Step-by-step explanation:

Firstly, you can eliminate the last two choices because they don't go through the point (-5, -6). For slope, use your [tex]\frac{rise}{run}[/tex]. Go up 2 and go left 3, and you'll see that the 1st graph matches this pattern.

Answer:

a) 9 squares long

b) 18

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

Hope it was Right.

Answer: the answer is c

Answer:

[tex]m\angle 1 =105^\circ\\m\angle 2 =75^\circ[/tex]

Step-by-step explanation:

The diagram is drawn and attached below.

From the diagram

[tex]m\angle 2 =75^\circ $ (Alternate Angles)[/tex]

[tex]m\angle 1+ m\angle 2 =180^\circ $ (Sum of angles on a straight line)\\m\angle 1+75^\circ =180^\circ\\m\angle 1 =180^\circ-75^\circ\\m\angle 1 =105^\circ[/tex]

Answer:

m<2: 75

m<1: 105

Step-by-step explanation: On edge 2021

Hope this helps!

Answer:

B and E

aka

E-F and E-D

C-B and C-D

Step-by-step explanation:

By the symmetry of the circle, we can see that:

Two segments are congruent when the segments have the same measure.

Here, we can use the symmetry of the circle to break the triangle into two equal parts.

We could see that segment EB cuts the triangle into two equal halves, then we will have that:

These are the congruent segments.

If you want to learn more about segments, you can read:

https://brainly.com/question/14366932

Answer:

The initial value of the computer

Explanation:

The v-intercept of the line is the point when the graph goes through the v-axis. At this point, t=0, meaning no time has yet passed. Since no time has passed, the v equals the original value of the computer at the v-intercept, meaning the answer is the initial value of the computer.

Answer:

92

Step-by-step explanation:

Given

Scores: 85, 78, 81

Required

Determine the least score in 4th subject is average must be at least 84

To solve this, we'll make use of Mean formula.

Mean = Sum of observations/Number of observations

We have that; Average = 84

Number of subjects = 4

Let the 4th subject be represented by F;

So, the sum of the four Subjects is:

Sum = 85 + 78 + 81 + F

Sum = 244 + F

Substitute these values in the above formula.

84 = ¼(244 + F)

Multiply both sides by 4

4 * 84 = 4 * ¼(244 + F)

336 = 244 + F

Subtract 244 from both sides

336 - 244 = 244 - 244 + F

92 = F

F = 92

To have an average of at least 84, Su's score must be atleast 92

Answer:

B

Step-by-step explanation:

YOu have to take out hte inches so now we have A and B. But, the inches cancel out so we get B.