find the value of x 4x+15=7x+2=

Answer:

Period : 2π

Maximum: 2

Minimum: -4

y-intercept: (0,-1)

Amplitude: 3

When does the max occur: x=π/2

When does the min occur: x =3π/2

Equation of Axis: y = -1

Answer: C) P(y) = 150(y – 15) – 125y

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Profit = revenue - cost

Cost: a watch store paid $125 per watch for a shipment of watches

Cost = 125 y

Where y is the number of watches in the shipment

Revenue: sold all but 15 watches from the shipment for $150 per watch

Revenue = 150(y-15)

Profit(y) = 150(y – 15) – 125y

So, the correct option is:

C) P(y) = 150(y – 15) – 125y

Feel free to ask for more if needed or if you did not understand something.

Answer: a) $1,210.20     b) $313.20

Step-by-step explanation:

a) $87 down + $46.80(24 months) = $1,210.20 total paid

b) $1,210.20 - $897.00 = $313.20 interest paid

Answer:

Tax avoidance - legal

Tax evasion - illegal

Answer:

ΔRCQ = ΔAPS

QR = PS (CPCTC)

ΔSRD ≅ ΔQPB

PQ = RS (CPCTC)

Step-by-step explanation:

Given that ABCD is a parallelogram, we have;

AD = BC, and DC = AB (Definition of a parallelogram)

AD = AS + SD Given S is midpoint of AD

Similarly,

DC = DR + RC

BC = BQ + QC

AB = AP + PB

RC = DR = AP = PB

BQ = QC = QC = BQ  segments on either sides of midpoint

∠BCA = ∠DAB (opposite interior angles of a parallelogram)

ΔRQC ≅ ΔSPA

ΔRCQ = ΔAPS (Side Angle Side SAS rule of congruency)

Therefore, segment QR = segment PS (QR = PS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC)

Similarly we have;

∠CDA = ∠CBA (opposite interior angles of a parallelogram)

ΔSRD ≅ ΔQPB (opposite interior angles of a parallelogram)

Therefore, segment PQ = segment RS (PQ = RS) (Corresponding Parts of Congruent Triangles are Congruent CPCTC).

Answer:

The correct ans is 3.

g(-2) = 2(-2) + 5

=-4 + 5 = 1

f(g(-2)) = 4 - (1)^2

= 4 - 1

=3

Step-by-step explanation:

Answer:

4 + 3+3+3+3

Step-by-step explanation:

We add up all the areas to find the surface area

The bottom is

2*2 = 4

The sides are all the same

The area of one side is

A = 1/2 bh =  1/2 (2*3) = 3

There are 4 triangular side

SA = 4 + 3+3+3+3

Answer:

4 + 3 + 3 + 3 + 3

Step-by-step explanation:

The base is a square.

Find area of a square.

2² = 4

Find the area of one triangle.

2 × 3 × 1/2 = 3

There are 4 triangles.

3 + 3 + 3 + 3

Add all the areas:

4 + 3 + 3 + 3 + 3

Answer: -6y= -3x-9

Since the slope is -6

y will be -6y

and the rest is -9, -3x

Answer: $36

Step-by-step explanation:

When taking a loan from a bank, we have to pay interest. The Simple Interest Formula is:

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

Principal (P) is the borrowed amount.

Interest Rate (r) is the percent of the principal to be paid.

Time (t) is the length of time that money is borrowed.

If Ms. Delilio borrowed $1,200 at an interest rate of 12% per year, for 3 months:

First, we have to convert 3 months into years

3 months = 3/12 =0.25 years

Then, find the interest by using the formula

Simple Interest (I) = Principal (P) × Interest Rate (r) × Time (t)

In this example

P = $1200

I = 12%

t = 0.25 years

Then:

I = 1200 × 0.12 × 0.25

I = 36

Answer:  $36

Step-by-step explanation:

3/12x1200x0.12=36

SIMPLE INTEREST FORMULA

TIME(ALWAYS IN YEARS)FOR EXAMPLE 4 MONTH WOULD BE 4/12 SINCE THERE ARE 12 MONTH IN 1 YEAR

DIVIDE BY 100 FOR INTEREST SHOWN

AND MULTIPLY TO SOLVE

Answer:

185

Step-by-step explanation:

All you have to do is multiply 200 by 92.5/100 (because it is 92.5%). This gives you 185.

Hope this helps!

Answer:

185

We know 92.5% of 100 is 92.5%, so 92.5 of 200 is just 92.5×2.

Answer:

Is it 12?Yes,I think it's 12.

Answer:

parallel lines have the same slope. so your new equation will be y = 7/3x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (7/3)(-9) + b

b. 4 = -21 + b

c. b = 4 +21

d. b = 25

your equation is y = 7/3x + 25

perpendicular lines have reciprocated slopes. so your new equation will be y = -3/7x + b

to find b, plug in the (x, y) values of (-9, 4) since the line has to pass through this point.

a. 4 = (-3/7)(-9) + b

b. 4 = (27/7) + b

c. b = 4 - (27/7)

i. (112/28) - (108/28) = 4/28

d. b = 1/7

your equation is y = -3/7x + 1/7

hope this helps :)

Answer:

2000

Step-by-step explanation:

Hello,

A or C means 2 ways

and then a digit means 10 ways 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

so in total we have 2*10*10*10 = 2000 possible codes

Hope this helps

Answer:

its 147

Step-by-step explanation:

yes

Answer:

29%

Step-by-step explanation:

48-34 = 14 dollar saving

14/48 = 29.17 % = 29% saving

Answer:

29%

Step-by-step explanation:

48-34= 14 dollar saving

14/48 = 29.17% = 29% saving

Answer:

Hey there!

For the first question we use the triangle area formula: 1/2bh, or 1/2(8)(5). This gives us 20 for the area.

For the second question we get a trapezoid, since the cross section does not pass through the vertex.

Hope this helps :)

Answer:

[tex]\boxed{\mathrm{False}}[/tex]

Step-by-step explanation:

[tex](p-q)^2[/tex]

[tex](p-q)(p-q)[/tex]

Use FOIL method.

[tex]p^2-pq-pq +q^2[/tex]

[tex]p^2-2pq +q^2[/tex]

Answer: -0.5.

Step-by-step explanation:

The constant of variation k for the direct variation is given by:-

[tex]k= \dfrac{f(x_2)}{x_2}=\dfrac{f(x_1)}{x_1}[/tex]

The given table:

x  f( x )

0   0

2   -1

4    -2

7   -3.5

Then,

[tex]k=\dfrac{-1}{2}=\dfrac{-2}{4}=\dfrac{7}{-3.5}=-0.5[/tex]

Hence, the constant of variation k for the direct variation is -0.5.

Answer:

69.1 ft

Step-by-step explanation:

A circle has 360 degrees.

The arc we are finding the length of is 330 degrees.

Its length is 11/12 of the circle's total circumference. (330/360=33/36=11/12)

Let's find the circumference of the entire circle.

Circumference is πd.

The radius of the circle is 12ft.

Diameter is double of radius.

12*2=24

The diameter is 24.

Plug that in.

24π=75.36 when using 3.14 for π

Multiply that by 11/12.

11/12*75.36=69.08

Round 69.08 to nearest tenth.

69.1

Keywords:

Circle

Circumference

Arc

Diameter

Radius

Learn more about arc length here:

https://brainly.com/question/16930503

Answer:

f(x) = (x - 3)(x + 1) → Corresponds with the first (raised higher ) ∪ shaped graph

f(x) = -2(x - 1)((x + 3) → Corresponds with the ∩ shaped graph

f(x) = 0.5(x - 6)((x + 2) → Corresponds with the second (lower) ∪ shaped graph

Step-by-step explanation:

For the function f(x) = (x - 3)(x + 1)

We have;

When x = 0, y = -3

When y = 0 x = 3 or -1

Comparing with the graphs, it best suits the first ∪ shaped graph  that rises here than the other ∪ shaped graph

For the function;

f(x) = -2(x - 1)((x + 3)

When x = 0, y = 6

When y = 0, x = 1 or -3

Which corresponds with the ∩ shaped graph

For the function;

f(x) = 2(x + 6)((x - 2)

When x = 0, y = -24

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = 0.5(x - 6)((x + 2)

When x = 0, y = -6

When y = 0, x = 6 or -2

Which best suits the second ∪ shaped graph  that is lower than the other (first) ∪ shaped graph

For the function;

f(x) = 0.5(x + 6)((x - 2)

When x = 0, y = -6

When y = 0, x = -6 or 2

Graph not included

For the function;

f(x) = (x + 3)((x - 1)

When x = 0, y = -3

When y = 0, x = -3 or 1

Graph not included

Answer:

The guy above me was right. i accidently put in the answers in the wrong order so i thought it was wrong and rated it 1 star

Step-by-step explanation:

Answer: D. range

Step-by-step explanation:

To measure the center of the tendency we use Mean , median or mode depends on the type of data.

But when we discuss about the distance between the initial point and the final point in a data , we use 'range' as term for this.

Range= distance between initial and final point.

here, range = distance between the starting point and the point where water-skiing accident occurs.

Hence, the correct option is D. range

Answer:

[tex]\large \boxed{\sf \ \ 9^3+10^3=1729 \ \ }[/tex]

Step-by-step explanation:

Hello, I choose 9 and 10, so I can write

[tex]9^3+10^3=(9+10)(9^2-9*10+10^2)=(10+9)(81-90+100)=10*91+9*91=910+819=1729[/tex]

Hope this helps.

Do not hesitate if you need further explanation.

Thank you

Answer:

a) 56548.7 cm³

b) 13 minutes

Step-by-step explanation:

a) The volume will be 2/3 pi r³ (which is the given formula divided by 2 since we only have half a sphere)

Fill in r=30 gives: 56548.7 cm³

b) 56548.7 cm³ divided by 4500 cm³/min = 12.6 ≈ 13 minutes

Answer:

0.9355

Step-by-step explanation:

What we will use here is conditional probability formula.

let A be the event that the plane departs on time

and B be the event that it arrives on time

P(A) = 0.87

P(B|A) = 0.93

P(B) = ?

P(A n B) = ?

Mathematically;

P(B|A) = P(B nA)/P(A)

0.93 = 0.87/P(A)

P(A) = 0.87/0.93

P(A) = 0.935483870967742

which is 0.9355 to four decimal places

Answer:

a) 4.50m/s²

b) v= 21

c) 11.25m/s

Step-by-step explanation:

a) rate of change of speed in first 2 seconds

= gradient of graph from t=0s to t=2s

The two points are (0,0) and (2,9).

[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]

Rate of change of speed

[tex] = \frac{9 - 0}{2 - 0} \\ = \frac{9}{2} \\ = 4.50m/ {s}^{2} [/tex]

Total distance= area under graph

Distance travelled for first 6s

= area of traingle +area of rectangle

= ½(2)(9) +(6-2)(9)

= 9 + 4(9)

= 9 +36

= 45m

Distance travelled from t=6s to t=12s

= 135 -45

= 90m

Area under graph from t=6s to t=12s =90

Area of trapezium= 90

½(A +B)(h)= 90

½(9+ v)(6)= 90

3(9 +v)= 90 (simplify)

9 +v= 30 (÷3 throughout)

v= 30 -9

v= 21

c) Average speed

= total distance ÷total time

= 135 ÷12

= 11.25 m/s

Answer:

Step-by-step explanation:

Did you mean log (17*3)?  If so, your log (17x3) becomes log 17 + log 3.

Did you mean  log 17^3?  If so, log 17^3 = 3 log 17.

Did you mean log 17*x*3?  If so, this equals log 17 + log x + log 3

Answer:

C: 1 and 3

Step-by-step explanation:

EDGE2021

Answer:

hope it helps

Step-by-step explanation:

ans = -4

Answer:

4

Step-by-step explanation:

Let A be the point wich coordinates are (2, -4)

-4 is the ordinate (y)

To find the distance from the x axis use the absolute value.

D (the distance) = | -4| = 4

The distance from the x-axis is 4

Answer:

If the question is saying that length is 7x, then the answer (width) is x-2

Answer:

11 bags

Step-by-step explanation:

$72/6.33=11.3744075829 or 11.4

11.4 estimate= 11

Answer:

11 bags of sugar

Step-by-step explanation:

In order to find the answer to this question simply divide the amount of money Andrew has by the amount of money it cost per bag of sugar.

[tex]S=6.33[/tex]

[tex]W=72[/tex]

[tex]72\div6.33=11.3744075829[/tex]

Round:

[tex]=11[/tex]

Hope this helps.

Answer

2

Step-by-step explanation

The radius of the large sphere is double the radius of the small sphere