PLEASE HELP
If 2 pounds is equal to 3 dollars, which of the following is incorrect?
A. 11 pounds is 16.50 dollars
B. 28 pounds is 44 dollars
C. 10 pounds is 15 dollars
D. 23 pounds is 34.50 dollars

The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1

We know that the  general formula for equation of a sine graph is;

y = A sin [(B(x - D)] + C

where;

A is Amplitude

Period = 2π/B.

Phase Shift = -C/B.

Vertical Shift = D.

From the graph;

A = 4

B = 2π/5π = 2/5

C = -1

D = -5/2

Thus;

y = 4 sin [(0.4(x + 2.5)] - 1

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Answer:

C

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line

m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]

the y- intercept is the value of y where the line crosses the y- axis , then

y- intercept = 2

The number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given that with a single can of frozen lemonade concentrate 6 cups of lemonade can be made. Therefore, the number of cups that can be made with x number of cans is,

Number of cups that can be made, y = 6x

Hence, the number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.

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Answer:

57 square units

Step-by-step explanation:

Area is = Length x Width

Given:

f(x)= 4x + 3    Length

g(x)=2x-5      Width

x = 4

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

Width

g(x)=2x-5

g(4)=2(4)-5

g(4)= 3

Length

f(x)= 4x + 3

f(4) = (4)(4) + 3

f(4) = 19

Area = (length)*(width)

Area = f(x)*g(x) for x = 4

Area = (f(4))*(g(4))

Area = (19)*(3)

Area = 57 square units

Answer:

[tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].

Step-by-step explanation:

Equation:

[tex] \rm \: \: (2x - 1)(3x + 4) = 0[/tex]

Solution:

Set factors equal to zero,that is:

[tex](2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)[/tex]

[tex](3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)[/tex]

Solving for equation 1:

Solving for equation 2:

Hence,the solutions to the quadratic equation in factored form is [tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].

[tex]\rule{225pt}{2pt}[/tex]

Good luck on your assignment!

x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The given equation is (2x - 1)(3x + 4) = 0

We have to find the solutions of the equation

As the equation is in factored form

We take each factor and solve for solution

2x-1=0

2x=1

Divide both sides by 2

x=1/2

Now 3x+4=0

3x=-4

Divide both sides by 3

x=-4/3

Hence, x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0

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The distance that edgar runs in a 5-day week will be 4.45 miles.

Distance is defined as the length between the two points it can be represented in mm,cm, meters,km, and miles.

Given that:-

Edgar runs 8/9 of a mile each day. what is the total distance that Edgar runs in a 5-day week?

The total distance will be calculated as:-

D = [tex]\dfrac{8}{9}[/tex] x 5

D = 4.45 miles

Therefore the distance that edgar runs in a 5-day week will be 4.45 miles.

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Answer:

B

Step-by-step explanation:

pythagorus theorem

a² + b² = c²

c² - b² = a²

26² - 24² = a²

676 - 576 = a²

a² = 100

a = 10

Answer:

√2.236

Step-by-step explanation:

(2,0) (5,-2). 2 - 5 = -3. 0 - -2 = 2. -3 squared = -9. 2 squared = 4. -9 + 4 = -5. Square root of -5 = 2.236, so the distance would be √2.236

The values of x does f(x) = 0 will be -4,0,2.Option A is corect.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The graph shows the cubic polynomial equation found as;

⇒(x+4)(x)(x-2)

The points f(x) = 0 is;

⇒(x+4)(x)(x-2)

⇒(-4+4)(0)(2-2)

⇒0

The values of x does f(x) = 0 will be -4,0,2.

Hence, option A is corect.

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Answer:

the two angles equal 180 degree

so 2x+2+5x+3=180

2x+5x+3+2=180

7x=180-5

7x/7=175/7

x=25

Step-by-step explanation:

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Answer:

x = 9

y = 61

Step-by-step explanation:

let me know if you want an explanation!

Answer:

1, 17, 33, 49

Step-by-step explanation:

given the first term is 1 then the next 3 terms are

1 + d, 1 + 2d, 1 + 3d ( d is the common difference )

the sum of the first 4 terms is 100 , then

1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is

4 + 6d = 100 ( subtract 4 from both sides )

6d = 96 ( divide both sides by 6 )

d = 16

1 + d = 1 + 16 = 17

1 + 2d = 1 + 2(16) = 1 + 32 = 33

1 + 3d = 1 + 3(16) = 1 + 48 = 49

the first 4 terms are

1, 17, 33, 49

Answer:

see the file attached!!!!

Answer:

(x - 9)(x^2 + 18x + 81).

Step-by-step explanation:

Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)

x^3 - 729 = (x - 9)(x^2 + 18x + 81)

Answer:[tex](x-9) (x^{2} +9x + 81)[/tex]

Step-by-step explanation:

Answer:

x < 13 and x > -13

Step-by-step explanation:

Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.

Write the positive value first by removing the absolute value symbol.

x < 13

Flip the inequality and make the 13 negative for the other side.

x > -13

Answer:

x = 37

Step-by-step explanation:

Answer:

[tex]24\sqrt{5}[/tex]

Step-by-step explanation:

So for this problem you can use the law of sines which states

[tex]\frac{a}{sin A} = \frac{b}{sin B}\\[/tex]

Since the angle is a right triangle we can find the hypotenuse by plugging in the values.

[tex]\frac{4\sqrt{15}}{sin 60} = \frac{hypotenuse}{sin 90}\\\\\frac{4\sqrt{15}}{sin 60} = hypotenuse\\hypotenuse = \frac{4\sqrt{15}}{\frac{\sqrt{3}}{2}} = \frac{8\sqrt{15}}{\sqrt{3}}\\hypotenuse = \frac{8\sqrt{45}}{3} = \frac{24\sqrt{5}}{3}\\[/tex]

we now just multiply that side by 3since all the sides should be equal since all the angles are equal and we get the length of 24sqrt(5)

The word in the problem that indicates that a negative sign should be used is "descend"

We know that he stops for water breaks four times, and between each water break, he descends 15 meters.

The written equation is:

4*(-15)m = -60m

Why the negative sign is used?

The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"

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Answer: the answer is b

Step-by-step explanation:

Answer:

[tex]n = 14[/tex]

Step-by-step explanation:

[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]

Step-by-step explanation:

please give this answer brainlist answer

The only option that meets the root theorem is option b.

The polynomial function is:

[tex]f(x) = 2x^2 - 4x + 9[/tex]

The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.

In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3

Where 3 is a rational number:

3 = 3/1

The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).

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Answer:

its right there.

Step-by-step explanation:

Answer:

r = - 3.25, p = -1.5

Step-by-step explanation:

→ Rearrange p - 2r = 5

p = 5 + 2r

→ Substitute into 6p - 4r = 4

6 ( 5 + 2r ) - 4r = 4

→ Expand

30 + 12r - 4r = 4

→ Simplify and solve

r = - 3.25

→ Substitute into p - 2r = 5

p + 6.5 = 5

→ Minus 6.5 from both sides

p = -1.5

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt {D. Symmetry about the polar axis Theta = 0} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

The given graph is symmetric along Theta = 0

[ polar axis ]

Because it's a horizontal line that divides the features on the graph into two equal halves. and there's no other suitable symmetric relation.

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.

(3m+7)/27 < n

Hence, the given statement can be modeled as (3m+7)/27 < n.

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STEP 1 : Rearrange this Absolute Value Inequality

Absolute value inequalitiy entered

|2x-1| < 11

STEP 2 : Clear the Absolute Value Bars

Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x-1|

For the Negative case we'll use -(2x-1)

For the Positive case we'll use (2x-1)

STEP 3 : Solve the Negative Case

-(2x-1) < 11

Multiply

-2x+1 < 11

Rearrange and Add up

-2x < 10

Divide both sides by 2

-x < 5

Multiply both sides by (-1)

Remember to flip the inequality sign

x > -5

Which is the solution for the Negative Case

STEP 4 : Solve the Positive Case

(2x-1) < 11

Rearrange and Add up

2x < 12

Divide both sides by 2

x < 6

Which is the solution for the Positive Case

STEP 5 : Wrap up the solution

-5 < x < 6

Solution in Interval Notation

(-5,6) .

Answer:

6x²

Step-by-step explanation:

[tex]-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x[/tex]

                     [tex]=\frac{3}{4} \times 8\times x\times x[/tex]          

                     [tex]=\frac{24}{4} \times x^{2}[/tex]

                     [tex]=6x^2[/tex]