A relationship between x and y is defined by the equation − 5 x + 3 y = 12 , where x is the input and y is the output. Indicate whether each of these statements about the relationship is true or false by selecting a box in each row. Statement True False y is a function of x . The graph of the relationship is a line. The graph of the relationship passes through the origin. When the input is 6, the output is 14.

Answer:

Step-by-step explanation:

1. Identify the slope.

2. Identify the point.

3. Substitute the values into the point-slope form, y − y 1 = m ( x − x 1 ) .

4. Write the equation in slope-intercept form.

The required solution to the given numerical expressions is 88.

A numerical expression is algebraic information stated in the form of numbers and variables that are unknown. Information can is used to generate numerical expressions.

We have to determine the solution of 1.25 × 4 + 3 × 2 divided by (1/2) to the 3rd power

According to the given question,

⇒ (1.25 × 4 + 3 × 2) / (1/2)³

Apply the multiplication operation in the terms of the numerator,

⇒ (5 + 6) / (1/2)³

Apply the addition operation in the terms and expand the power of the denominator,

⇒ (11) / (1/8)

Reciprocal the term of denominator,

⇒ (11) × 8

⇒ 88

Therefore, the required solution to the given numerical expressions is 88.

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Answer:

A.  b ≤  -3

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

C

Step-by-step explanation:

[tex]\\ \sf\longmapsto (3x-2x^2+3)-(-5x^2+3x+5)[/tex]

[tex]\\ \sf\longmapsto 3x-2x^2+3+5x^2-3x-5[/tex]

[tex]\\ \sf\longmapsto 5x^2-2x^2+3x-3x+3-5[/tex]

[tex]\\ \sf\longmapsto 3x^2-2[/tex]

Answer:

The answer is B

Step-by-step explanation:

3x - 2x^2 + 3 -(-5x^2 + 3x + 5)

3x - 2x^2 + 3 + 5x^2 - 3x - 5

= 3x^2 - 2

Answer:

x=1 y=5

Step-by-step explanation:

y=4+x

x=y=6

x+4+x=6

y=4+x

2x+4=6

y=4+x

2x=2

y=4+x

x=1

y=4+x

y=5

x=1

Answer:

-12x

Step-by-step explanation:

6x+(-12x/2)+(-24x/2)

=6x+(-6x)+(-12x)

=6x-6x-12x

=-12x

She can buy 16 pens and 16 pencils.

Answer:

$243

Step-by-step explanation:

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

The value of 3x + 4y² when x = 5 and y = 3 is 51.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given expression is,

3x + 4y²

We have to find the value of the expression when the value of x = 5 and that of y = 3.

For that, substitute x = 5 and y = 3 in place of x and y.

3x + 4y² = (3 × 5) + (4 × 3²)

             = 15 + (4 × 9)

             = 15 + 36

             = 51

Hence the value of the expression is 51.

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Answer:

51

Step-by-step explanation:

A is the correct answer.

Answer:

Divide both sides by -10

-10n+2=40

subtract 2 from both sides so

40-2=38

10n/10= 38/10

3.8 = n

Step-by-step explanation:

Answer:

umm i think it is B.

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

Extreme values of a function are found by taking the first derivative of the function and setting it equal to 0. To determine if it's a minimum or maximum, we set the second derivative equal to 0 and determine if its positive or negative respectively.

Let's do [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] as an example

By using the power rule where [tex]\frac{d}{dx}(x^n)=nx^{n-1}[/tex], then [tex]f'(x)=12x^3+6x^2-10x[/tex]

Now set [tex]f'(x)=0[/tex] and solve for [tex]x[/tex]:

[tex]0=12x^3+6x^2-10x[/tex]

[tex]0=2x(6x^2+3x-5)[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\frac{-3\pm\sqrt{3^2-4(6)(-5)}}{2(6)}[/tex]

[tex]x=\frac{-3\pm\sqrt{9+120}}{12}[/tex]

[tex]x=\frac{-3\pm\sqrt{129}}{12}[/tex]

[tex]x=-\frac{3}{12}\pm\frac{\sqrt{129}}{12}[/tex]

[tex]x=-\frac{1}{4}\pm\frac{\sqrt{129}}{12}[/tex]

[tex]x_1=0,x_2\approx0.6965,x_3=-1.1965[/tex]

By plugging our critical points into [tex]f(x)[/tex], we can see that our extreme values are located at [tex](0,7)[/tex], [tex](0.6965,5.956)[/tex], and [tex](-1.1965,2.565)[/tex].

The second derivative would be [tex]f''(x)=36x^2+12x-10[/tex] and plugging in our critical points will tell us if they are minimums or maximums.

If [tex]f''(x)>0[/tex], it's a minimum, but if [tex]f''(x)<0[/tex], it's a maximum.

Since [tex]f''(0)=-10<0[/tex] then [tex](0,7)[/tex] is a local maximum

Since [tex]f''(0.6965)=15.822>0[/tex], then [tex](0.6965,5.956)[/tex] is a local minimum

Since [tex]f''(-1.1965)=27.18>0[/tex], then [tex](-1.1965,2.565)[/tex] is a global minimum

Therefore, the extreme values of [tex]f(x)=3x^4+2x^3-5x^2+7[/tex] are a global minimum of [tex](-1.1965,2.565)[/tex], a local minimum of [tex](0.6965,5.956)[/tex], and a local maximum of [tex](0,7)[/tex].

Hope this example helped you understand! I've attached a graph to help you visualize the extreme values and where they're located.

Answer:

Step-by-step explanation:

According to diagram we have:

Now:

Find the measure of angle H:

Answer:

17 feet tall

Step-by-step explanation:

0.17 x 100 is 17

Answer:

50

Step-by-step explanation:

Answer:

Well the ineqaulity here would be

y/8 > 10

Or in simpler terms

y ÷ 8 > 10

If you were to solve

y > 80

Answer is D)

no solution

Answer:

60

Step-by-step explanation:

y =  k/x ( as y is inversely proportional to x)

yx = k

--> k = yx

k = (6)(10)

k = 60

Enjoy it. I hope it will help you.

Answer:

3rd option

Step-by-step explanation:

Given z is inversely proportional to (y - 2)² then the equation relating them is

z = [tex]\frac{k}{(y-2)^2}[/tex] ← k is the constant of proportion

To find k use the condition when y = 5, z = 9 , then

9 = [tex]\frac{k}{(5-2)^2}[/tex] = [tex]\frac{k}{3^2}[/tex] = [tex]\frac{k}{9}[/tex] ( multiply both sides by 9 )

81 = k

z = [tex]\frac{81}{(y-2)^2}[/tex] ← equation of proportion

Answer:

absolute value

coefficient

constant

counterexample

equation

expression

evaluate

inequality

I hope that helps maybe give brainliest if it does!

Love,

-Banana

Answer:

Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Step-by-step explanation:

BRAINLIEST?

Answer:

cos = 0.89/1.9 = 0.46842105263157895-

Step-by-step explanation:

the value of cos(t) is approximately 0.347.

To find the value of cos(t), we can use the identity:

tan²(t) + 1 = sec²(t)

Since we know the value of tan(t) is approximately 2.7, we can calculate sec(t):

sec²(t) = tan²(t) + 1

sec²(t) = 2.7² + 1

sec²(t) = 7.29 + 1

sec²(t) = 8.29

Now, to find sec(t), we take the square root of both sides:

sec(t) = √(8.29)

sec(t) ≈ 2.877

Finally, we can find cos(t) using the reciprocal identity:

cos(t) = 1 / sec(t)

cos(t) ≈ 1 / 2.877

cos(t) ≈ 0.347

So, the value of cos(t) is approximately 0.347.

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Answer:  23.2

Step-by-step explanation:

D = 4h/5

D(29) = 4(29)/5

D(29) = 23.2

Answer:

She needs to get to class on time

Step-by-step explanation:

If shes tardy shes going to get detention which will lead to her phone getting took.

Answer:

D

Step-by-step explanation:

Can i get brainiest Sorry if im wrong <3