if f(x)=2x^2-3x+4, find f(x+3)

Answer: -2, 0

Step-by-step explanation:

The graph this represents this system is the second graph since the vertex of the absolute value function is at x=-2.

So, to find the solutions, we can find the intersection points. These are at x=-2 and x=0.

Answer:

A ≈ 160 cm²

Step-by-step explanation:

the area (A) of a parallelogram given adjacent sides a and b and angle Θ between them is

A = absinΘ

here a = 12 , b = 15 and Θ = 117° , then

A = 12 × 15 × sin117° ≈ 160 cm²( to the nearest cm² )

in∆BDC

use sine rule for area

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}absinC[/tex]

[tex]\\ \rm\rightarrowtail \dfrac{1}{2}(12)(15)sin117[/tex]

[tex]\\ \rm\rightarrowtail 90(0.89)[/tex]

[tex]\\ \rm\rightarrowtail 80.1m^2[/tex]

Answer:

51.0285714…

Step-by-step explanation:

you just multiply them together.

Answer:

Step-by-step explanation:

→ Multiply the 2 lengths together

[tex]6\frac{5}{7} *7\frac{3}{5}[/tex]

→ Convert both to improper

[tex]\frac{47}{7} *\frac{38}{5}[/tex]

→ Multiply

[tex]\frac{1786}{35}[/tex]

→ Convert to mixed fraction

[tex]51\frac{1}{35}[/tex]

Step-by-step explanation:

the total surface area is the sum of the 5 individual areas in the surface :

2 triangle sides (left and right).

1 back rectangle side

1 rectangle floor

1 inclined rectangle front side

to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90° angle).

c² = 3² + 4² = 9 + 16 = 25

c = 5

so, now, we have everything we need.

the area of a triangle side (since it is right-angled) :

4×3/2 = 6

2 sides, that makes 12

the area of the back side

6×3 = 18

the area of the floor

6×4 = 24

the area of the inclined front side

6×5 = 30

so, the total surface area is

12+18+24+30 = 84

Answer:

62.28divided by 0.75 = 83.04

Step-by-step explanation:

PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.

Answer:

0.64

Step-by-step explanation:

Given the sides of a triangle, we can solve for any angle using the Law of Cosines: [tex]a^2=b^2+c^2-2bc(cosA)[/tex]

Our variables:

a = 27

b = 36

c = 45

B = 90°

[tex]a^2=b^2+c^2-2bc(cosA)[/tex]

[tex](27)^2=(36)^2+(45)^2-2(36)(45)(cosA)[/tex]

[tex]720=1296+2025-3240(cosA)[/tex]

[tex]720-3321=-3240(cosA)[/tex]

[tex]-2601=-3240(cosA)[/tex]

[tex]\frac{2601}{3240} =cosA[/tex] ≈ [tex]0.80278[/tex]

[tex]cos^-(A)=cos^-(\frac{2601}{3240})[/tex]

[tex]< A = 0.63885708[/tex]

This might be wrong, but you get the method. I would repost for a better answer from someone else because I'm practically half asleep. Very sorry but I hope you get some help soon! Best of luck

Answer:

You have no image so how could i solve?

Step-by-step explanation:

Answer:

that's wrong

Step-by-step explanation:

for n = 1

n^(2n)=1²=1

and 2 doesnt devide 1

x - 13 < - 11

x < - 11 + 13

x < 2

Answer:

1.

The radius is given, so the radius is = 10

The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter

And to solve for circumference, your formula is;

C = 2πr

Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.

Plug in your values:-

C = 2πr

C = 2(3.14) x 10

C = 6.28 x 10

C = 62.8, so your circumference is 62.8.

2.

Your radius is half of your diameter, so,

D/2 = R

D = diameter

R = Radius

49/2 = 24.5 is your radius.

Your diameter is given, so the diameter is 49.

Use the formula we applied for circumference in our other problem;

C = 2πr

C = 2(3.14) x 24.5

C = 6.28 x 24.5

C = 153.86, so 153.86 is your circumference.

Answer:

1/4

Step-by-step explanation:

4/4-3/4=1/4

Answer:

D. answer po

Step-by-step explanation:

Tama yan na D

Answer:

10

Step-by-step explanation:

To  find,

HCF of 50 & 70 using Euclid's Division Algorithm.

Solution,

HCF(50 & 70) --  70 = 50 × 1 + 20.

                           50 = 20 × 2 + 10

                           20 = 10 × 2 + 0.

Therefore their HCF is 10.

Answer:

10

Step-by-step explanation:

According to Euclid's Algorithm, c = dq + r ,  0 ≤ r < d  (where r is the remainder)

As 70 > 50, c = 70 and d = 50

Substituting values of c and d:

   70 = (50 x 1) + 20

⇒ 50 = (20 x 2) + 10

⇒ 20 = (10 x 2) + 0

Therefore, the HCF is 10

Answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

z = 5*(1/2)

z = 5/10

---

time switching classes:

w = 7/10

---

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (76/10 - 5/10 - 7/10)/6

x = (76 - 5 - 7)/(10*6)

x = (64)/(10*6)

x = (2*2*2*2*2*2)/(2*5*2*3)

x = (2*2*2*2)/(5*3)

x = 16/15

x = 1.0666666666

---

check:

y = 7 + 3/5

y = 7.6

z = 1/2

z = 0.5

w = 7/10

w = 0.7

y - 6x - z - w = 0

6x = y - z - w

x = (y - z - w)/6

x = (7.6 - 0.5 - 0.7)/6

x = 1.0666666666

---

answer:

each class is 1.07 hours

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's solve ~

[tex]\qquad \sf  \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)[/tex]

[tex]\qquad \sf  \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10[/tex]

[tex]\qquad \sf  \dashrightarrow \: 9x - 1 = 7[/tex]

[tex]\qquad \sf  \dashrightarrow \:9x = 8[/tex]

[tex]\qquad \sf  \dashrightarrow \:x = \dfrac{8}{9} [/tex]

The equation can be used to model the height as a function is[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]  where t is time, the second option is correct.

Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.

We know the general equation for the cosine function:

[tex]\rm y = A\ cos(bx-c)+d[/tex]

Where A is the amplitude

We have a wall clock that varies from 9 feet to 10 feet.

The value of 'A' is given by:

[tex]\rm A = \frac{10-9}{2} \Rightarrow 0.5[/tex]

b is the cycle speed, we know:

[tex]\rm T = \frac{2\pi}{b}[/tex]   (T is period)

[tex]\rm12 = \frac{2\pi}{b}[/tex]

[tex]\rm b=\frac{\pi}{6}[/tex]

The value of d is given by:

[tex]\rm d = \frac{10+9}{2}[/tex]

d = 9.5

The equation can be modeled:

[tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]   (c =0 and y =h)

Thus, the equation is  [tex]\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5[/tex]

Know more about trigonometry here:

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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5

Step-by-step explanation: edge :)

Answer:
Answer: (b) 5.

Step-by-step explanation:

Simple and best practice solution for (c-5)d=2 equation. ... If it's not what You are looking for type in the equation solver your own equation and let us solve it. ... 2 + 5d cd = 2 + 5d Divide each side by 'd'. c = 2d-1 + 5 Simplifying c = 2d-1 + 5 Reorder ... 11/4-t8 | | (3x^2+5x+2)+(4x^2+3x+2)= | | 4Y+7-Y=4+2Y-8 | | 10x+190=360 ...

For example, let's say with have the equation x+5 ... If we evaluate the same expression when x=10, we get 3(10)+7=30+7=37. Here's a variable expression with two variables: 3x−2y ... How do you express the phrase "a number z divided by 19" as an algebraic expression? ... How do you simplify 11c+5d−9c−9d?Let the number of cows be x and their legs be 4x. ... or, x = 7 [dividing by 2 on both sides]. ... The roots of the equation ax2 + bx + c = 0 will be reciprocal if: ... A circle of radius 10 inches has its center at the vertex C of an equilateral triangle ABC ... (a) 15, (b) 30, (c) 60, (d) 90, (e) 120. Circle Problem Answers. Answer: (b) 5.

Hey There! Happy to Help! Your answer is below.

Answer:

17/20 = 0.85000

Step 1:

⇒ (3/4 + 4/5) - 7/10

Step 2:

⇒ (3/4 + 4/5) - 7/10

Step 3:

⇒(3/4 + 4/5) - 7/10

Step 4:

⇒ Find the Least Common Multiple

Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 0 2

5 0 1 1

Product of all

Prime Factors  4 5 20

  Least Common Multiple:

     20

⇒  Calculate multipliers for the two fractions

⇒  Denote the Least Common Multiple by  L.C.M

   ⇒ Denote the Left Multiplier by  Left_M

⇒   Denote the Right Multiplier by  Right_M

⇒    Denote the Left Deniminator by  L_Deno

⇒    Denote the Right Multiplier by  R_Deno

⇒ Rewrite the two fractions into equivalent fractions

⇒ Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num.               3 • 5

-----------------------------    =  ------------

L.C.M                                     20  

  R. Mult. • R. Num.      4 • 4

----------------------------- =  -------

   L.C.M                           20  

 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

3 • 5 + 4 • 4     31

------------------ = ---

     20           20

Equation at the end of step 4:

 31     7

---- - ----

20   10

Step 5:

 Find the Least Common Multiple

     The left denominator is :       20

     The right denominator is :       10

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

2 2 1 2

5 1 1 1

Product of all

Prime Factors  20 10 20

   Least Common Multiple:

     20

Calculating Multipliers :

Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

Left_M = L.C.M / L_Deno = 1

  Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

Rewrite the two fractions into equivalent fractions

L. Mult. • L. Num.      31

------------------------- = ----

L.C.M                      20

R. Mult. • R. Num.      7 • 2

---------------------------- = -----

L.C.M              20  

Adding fractions that have a common denominator :

Adding up the two equivalent fractions

31 - (7 • 2)     17'

--------------  = ---

20          20

 17          

 —— = 0.85000

 20        

Answer:

x = 21

a= 22

b = 13

Step-by-step explanation:

18 / 6 = 3

3 * 7 =21

20 / 10 = 2

2 * 11 = 22

10 / 20 = 0.5

26 * 0.5 = 13

The equation of the central street PQ is  -1.5x - 3.5y = -31.5 option (b) is correct.

A straight line is a combination of endless points joined on both sides of the point.

We have a straight line:

[tex]-7x+3y=-21.5[/tex]  

Convert it to the general form given below:

[tex]\rm y=mx+c[/tex]

[tex]\rm 3y=-21.5+7x\\\\ \rm y = \frac{-21.5}{3}+\frac{7}{3}x[/tex] or

[tex]\rm y = \frac{7}{3}x-\frac{21.5}{3}[/tex]

[tex]m = \frac{7}{3}[/tex]   (Slope of AB line)

For the slope(m') of the PQ line:

[tex]\rm m'=-\frac{1}{m}[/tex]    ( because AB and PQ are perpendicular to each other)

[tex]\rm m' = -\frac{3}{7}[/tex]

We know the:

[tex]\rm (y-y')=m'(x-x')[/tex]

Where (x', y') = (7, 6), we get:

[tex]\rm (y-6)=-\frac{3}{7} (x-7)[/tex]

[tex]\rm 7(y-6)=-3 (x-7)\\\\\rm 7y-42= -3x+21\\\\\rm 7y= -3x+21+42\\\\\rm 3x+7y=63[/tex]

[tex]\rm -1.5x-3.5y=-31.5[/tex]   (multiply by -1/2 on both sides)

Thus, the equation of the central street PQ is  -1.5x - 3.5y = -31.5

Learn more about the straight line.

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Answer:

The first one

"Only Lillie is correct" that's the right answer.

Step-by-step explanation:

64^2/3 = 16

Answer:

25π + 30m which is approx. 108.54m

Step-by-step explanation:

First, we can work out the angle of the middle of the playground. 360 - 60 = 300°

Next, we can find out the arc length of the playground using the formula:

θ/360 × πd → 300/360 × 30π = 25π

Finally, we need to add on the two radii to find the perimeter of the playground: 25π + 15 + 15 = 25π + 30m which is approx. 108.54m

Hope this helps!

Answer:Cost = $33 per month + Fee 1.  C(m) = 33m + F 33(6) + F = 228198 + F = 228F = $30 membership fee C(m) = 33m + 30 2.  At 9 months:  33(9) + 30 = $327

Step-by-step explanation:

Rotating a shape involves moving it in a circular way around its axis

The true statement about the rotation is (c) Rotating a right triangle around its vertical axis will form a cone.

When a two-dimensional shape such as triangles, trapezoid, square, rectangles, etc are rotated about their axes, the new shape formed is a three-dimensional shape

As a general rule, the rotation of a right triangle around its axis would form a cone.

Hence, the true statement about the rotation is (c)

Read more about rotation at:

https://brainly.com/question/4289712

Answer: C. Rotating a right triangle around its vertical axis will form a cone.

Step-by-step explanation: CORRECT on Plato/Edmentum.

Answer:

A. credit card

Step-by-step explanation:

When using a credit card, the bank is paying for you. Overtime through bills you will pay that amount back usually with interest.

Answer:

35cm

120cm^2

Step-by-step explanation:

Answer:

1. The perimeter of figure a is 36 cm.

2. The area of figure a is 60 cm².

3. The perimeter of figure b is 14.25 in.

4. The area of figure b is 7.031 in².

If it's wrong tell me

==============================================

Remember, prime numbers have only 2 factors: 1 & themselves.

For example, 5 is a prime number because it's only divisible by 1 and 5 (itself)

Now, write down some primes.

1) between 45 and 55

   - 47

   - it's only divisible by 1 and itself, so it IS prime

2) 62 and 72

67, because it is divisible by 1 and itself only.

====================================================

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I'll comment and/or edit my answer :)

Based on the cities you will go through and your starting and finishing points, your father's estimate is a close estimation of the distance.

The map is not provided so we will use a general map.

The distance from San Jose to Denver is around 1,301 miles.

The distance from Denver to Chicago is around 1,004 miles.

The distance from Chicago to New York is around 796 miles.

Added together we get:

= 1,301 + 1,004 + 796

= 3,101 miles

This is close to the 3,000 miles your father estimated.

Find out more on distance at https://brainly.com/question/1839590.