Find the area of the rectangle.
A rectangle is shown. The left side is labeled with the expression 8 x. The top side is labeled with the expression 7 x plus 1. (1 point)
15x + 1
56x2 + 8x
56x + 8
15x2 + 9x

Answer:

A = 13 degrees

B = 65.3 degrees

C = 180 - (13 + 65.3) = 101.7 degrees

Side a = 35 km

Side b = 141.4 km

Side c = 152.4 km

The graph is attached with the answer.

When two algebraic expressions are equated using an inequality operator , The statement formed is called In equality.

The given Inequality is 2x + y ≤ 2

in slope intercept form can be written as

y ≤  -2x +2 , here slope is -2 and intercept is 2

As an equation it will be

y = -2x +2

x         y

0 ,       2

1 ,       0

2         -2

The graph is plotted

The area is shaded and the test for the origin is applied , and it lies in the shaded region.

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Answer:

B.) 2x¹⁰y¹²

Step-by-step explanation:

To begin, because all of the terms in the top and bottom are combined (right next to each other being multiplied), the coefficients can be divided like any normal number. When you divide variables with powers, you need to subtract the denominator powers from the numerator powers.

Therefore,

60 / 30 = 2

x²⁰ / x¹⁰ = x²⁰ ⁻ ¹⁰ = x¹⁰

y²⁴ / y¹² = y²⁴ ⁻ ¹² = y¹²

Combined, the simplified expression is 2x¹⁰y¹².

Answer:

log x to the base 2 +log x to the base 4 =2

or log x/ log 2+ log x /lig 4 =2

or log x /log2 + log x /2.log 2 = 2

or log x/log 2(1+1/2)= 2

or log x/log 2 = 4/3

or 3.log x =4.log2

or logx^3=log 2^4

or x^3= 2^4

or x =(2)^4/3 or 2.(2)^1/3 ,Answer.

hope this helps

Step-by-step explanation:

Answer:

The answer is 64

Step-by-step explanation:

If you find this answer helpful pls mark it the brainliest answer

it's easy 64 the key is in the pic.

It looks like you're asking to solve for the coefficients [tex]a,b,c[/tex] such that

[tex]2x^2 - 5 = a(x+2)^2 - b(x+1) + c[/tex]

Expanding the right side gives

[tex]2x^2 - 5 = ax^2 + 4ax + 4a - bx - b + c[/tex]

[tex]2x^2 - 5 = ax^2 + (4a - b)x + (4a - b + c)[/tex]

The coefficients on both sides must be equal, so

[tex]\begin{cases}a = 2 \\ 4a-b = 0 \\ 4a - b + c = -5\end{cases}[/tex]

Solving the system yields [tex]\boxed{a=2 \implies b = 8 \implies c = -5}[/tex].

The quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

The expression is given as:

[tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Express x^2 - 49 as difference of two squares

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex]

Factorize other expressions

[tex]\frac{(x + 7)(x- 7)}{x + 2} \div \frac{(x -7)(x-7)}{3(x + 2)}[/tex]

Express as product

[tex]\frac{(x + 7)(x- 7)}{x + 2} \times\frac{3(x + 2)}{(x -7)(x-7)}[/tex]

Cancel the common factors

[tex]\frac{(x + 7)}{1} \times\frac{3}{(x -7)}[/tex]

Evaluate the product

[tex]\frac{3(x +7)}{(x -7)}[/tex]

Hence, the quotient [tex]\frac{x^2 - 49}{x + 2} \div \frac{x^2 - 14 +49}{3x + 6}[/tex] is [tex]\frac{3(x +7)}{(x -7)}[/tex]

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Let [tex]f(x) = x^3 + 3x + \sin(x) - 5[/tex]. Using Newton's method to approximate a solution to [tex]f(x) = 0[/tex], we consider the recurrence

[tex]\begin{cases} x_1 = 1 \\ x_{n + 1} = x_n - \frac{f(x_n)}{f'(x_n)} & \text{for } n \ge 1 \end{cases}[/tex]

Differentiating [tex]f(x)[/tex] gives

[tex]f'(x) = 3x^2 + 3 + \cos(x)[/tex]

Then

[tex]x_2 = 1 - \dfrac{f(1)}{f'(1)} = 1 + \dfrac{1 - \sin(1)}{6 + \cos(1)} \approx 1.024238790[/tex]

[tex]x_3 = x_2 - \dfrac{f(x_2)}{f'(x_2)} \approx 1.024009549[/tex]

[tex]x_4 = x_3 - \dfrac{f(x_3)}{f'(x_3)} \approx \boxed{1.024009528}[/tex]

which agrees numerically with the actual root of [tex]f(x)[/tex] up to at least 9 digits after the decimal point.

This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality. The correct option is B.

Let there are two variables p and q

Then, p and q are said to be directly proportional to each other if

p = kq

where k is some constant number called the constant of proportionality.

This directly proportional relationship between p and q is written as p∝q where that middle sign is the sign of proportionality.

In a directly proportional relationship, increasing one variable will increase another.

Now let m and n be two variables.

Then m and n are said to be inversely proportional to each other if

[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]

(both are equal)

where c is a constant number called the constant of proportionality.

This inversely proportional relationship is denoted by

[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]

As visible, increasing one variable will decrease the other variable if both are inversely proportional.

Since the graph of the equation is a line, therefore, it can be concluded that the relationship is linear as a result y varies directly with x.

Therefore we can write the relationship as,

y ∝ x

y = k x

The line goes through the point (-2,3), thus, substitute the points in the equation formed above,

3 = k × (-2)

k = -3/2

Now, substitute the value of k in the equation,

y = -(3/2)x

Hence, the correct option is B.

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The control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.

According to the information, the researcher wants to seek whether singing to plants causes them to grow taller.

The explanatory variable is singing. Therefore, the researcher can control some of the variables to determine the explanatory variable on the growth of the plant.

Hence, the control variable that can be used in the research experiment is to ensure that the two set of plants will receive the same amount of water and light.

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Answer:

yessss

Step-by-step explanation:

yessssssss

The condition that distinguishes organism from inorganic objects and dead organisms, being manifested by growth through metabolism, reproduction, and the power of adaptation to the environment through changes originating internally.

H(x) = 4(x - 7)^2 - 19

Hope you find it usefull

Answer: Two pounds of beef costs $7.38.

Step-by-step explanation:

Multiply the cost for one pound by the amount of pounds you need.

$3.69×2=$7.38

I hope this helps!!

Answer:

2a² + 2b²

Step-by-step explanation:

(a - b)² + (a + b)² ← expand both factors using FOIL

= a² - 2ab + b² + a² + 2ab + b² ← collect like terms

= 2a² + 2b²

Step-by-step explanation:

Expand both classic quadratics and combine like terms to find the sum:

(a−b)2+(a+b)2

We conclude that 515 student tickets were sold, and 58 adult tickets.

Let's define the variables:

We can write the system of equations:

x = 9*y - 7

x*5 + y*8 = 3039

Now we can replace the first equation into the second one:

(9*y - 7)*5 + y*8 = 3039

45y + 8y  - 35 = 3039

53y = 3074

y = 3074/53 = 58

Now we can use:

x = 9y - 7 = 9*58 - 7 = 515

We conclude that 515 student tickets were sold, and 58 adult tickets.

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Answer:

325

Step-by-step explanation:

10 is 3^2 + 1

37 is 6^2 + 1

82 is 9^2 + 1

145 is 12^2 +  1

226 is 15^2 + 1

325 is 18^2 + 1

325 is the next number in the sequence and is also the answer.

C is the right answer.

hope it helps...

Answer:

C.

Step-by-step explanation:

Calculating this in Desmos, the closest equation to the points on the graph will have to be c

Answer:

24

Step-by-step explanation:

the question translates to asking how many times does 7/8 fit in 21, so 21 divided by 7/8.

when we divide by a fraction, we can multiply by it's inverse, so 21 divided by 7/8, is 21 multiplied by 8/7. so:

21×8/7 = (21×8)/7 = (21/7)×8 = 3×8 = 24

Answer:

512? xd

Step-by-step explanation:

Answer:

128

Step-1by-step explanation:

An easy way of solving these sort of problems is to set up an equation

Since we have a total, that being 512 burgers, we can set an equation equal to that number.

We can say that hamburgers is represented by x. Since we sold 3 times more cheeseburgers than the amount of hamburgers, we can represent this as 3x.

Since these totals are combined, we can represent this via an equation:

512 = x + 3x

Solve for x accordingly, and we are given 128, which is equal to the amount of hamburgers.

y=[tex]\frac{1}{2}[/tex]x+0.5

Hope it helps!

Answer:

(π2,15)(π2,15) is a local maximal

(3π2,9)(3π2,9) is a local minimal

Step-by-step explanation:

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Answer:

The first graph

Step-by-step explanation:

The second graph does not have a point at (1, -2).

Answer:

answer D    ( if i interpreted your question correctly )

Step-by-step explanation:

Sqrt (c^2)  = √(c^2) = C

Answer:

(-4,-3)

Step-by-step explanation:

The point where those 2 equations intersect is (-4,-3)

Answer:

A. -6

D. 3

Step-by-step explanation:

Answer:

6.708.

Step-by-step explanation:

hope this helps

Answer:

a. When the time is greater than 0, but less than 345 minutes, the temperature of the turkey is increasing at roughly a linear rate.

b. When the time ranges from 345 to 360 minutes, the temperature of the turkey stays constant, at 165 degrees.

c. When the time is greater than 360 minutes, the temperature of the turkey decreases.

Answer:

115

Step-by-step explanation:

You solve this by factoring.

12140 = x^2-10x+65

0 = x^2-10x-12075

0=(x+105)(x-115)

The only positive solution is x=115

Answer:

either it's 7 and 3 but not sure

Step-by-step explanation:

7x3 =21

now for the negative -10 it would basically be -7+-3=-10