Find the value of f(-8)

The linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that, it is 76 degrees at the 6000-foot level of a mountain and 49 degrees at the 12000-foot level of the mountain.

As we know the linear equation in the slope-intercept is found as,

y =mx + b

Replace m with the c,y with the T, and b with the k as

T = cx + k

From the given data,

76 = c(6) + k

76 = 6c + k

⇒ k = 76 - 6c

For condition 2,

49 = c(12) + k

49 = 12c + k

Substitute the value of k in the above equation,

49 = 12c + (76 - 6c)

49 = 12c + 76 - 6c

49 - 76 = 6c

6c = -27

c=-9/2

Put the value of c in the equation,

K = 76 -6c
K = 76 -6(9/2)

K = 76+27

k = 103

Put the value of c and k in the equation below,

T = cx + k

T  = (-9/2)x+103

Thus, the linear equation to find the temperature T at an elevation x on the mountain, where x is in thousands of feet will be T = (-9/2)x +103.

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The option A that f(-3)=g(-4) will be the correct option for the given graph  of set of intersecting line meeting at point (-3,-4).

When two or more lines intersect in a plane, they are referred to as intersecting lines. The intersecting lines share a common point, which exists on all of them and is known as the point of intersection.

The intersecting lines (two or more) always meet at one point.

The intersecting lines may cross at any angle. This formed angle is always greater than 0° but less than 180°.

A pair of vertical angles is formed by two intersecting lines. Vertical angles are opposite angles that share a vertex (which is the point of intersection).

In the graph we can see that lines are meeting at (-3,-4) that is why the option A f(-3)=g(-4) is most suitable option.

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Answer:

d = 8 , a₁ = - 6 , a₂ = 2

Step-by-step explanation:

the recursive formula is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + d

where d is the common difference

compare with

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 8

then common difference d = 8

the initial term is the first term, that is a₁ = - 6

then

a₂ = a₁ + d = - 6 + 8 = 2

The equation which represents money in the account after x weeks is:

20x+y=180

Hence the time after which the account has a balance of zero is 9 weeks.

Given, the bank account has a current balance of $180.

Withdrawal of $20 takes place every week.

we are asked to determine the amount of time (in weeks) needed for the account to have no balance is = ?

let x be the time time (weeks)

and y be the money left in the bank.

the equation will be:

20x + y = $180

Hence if the balance is zero, then how many weeks will it be.

substitute y=0

20x+0=180

20x=180

x=180/20

x=9

Hence it will take 9 weeks until the account has a balance of zero.

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Answer: 8.2 x 10^2

Step-by-step explanation:

In the first line, we are going to have that if you put 7 then to have the sum rigth the next space have to be 9, following that idea the space down of the 9 have to be also 7 and the first space on the second line have to be 19. So we are going to have 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12, and the other two operations are going to be solve also 7 + 19 = 26 and 9 + 7 = 16.

Then the answer is 7 + 9 = 16 in the first line and in the second line 19 - 7 = 12.

Answer:

28:

The Greatest Common Factor (GCF) of 10 and 35 is 5.

10/5 = 2

35/5 = 7

Take the GCF out and keep your divided values in the brackets:
5(2x+7)

29:

n = number of times Thalia has made cookies

c = cups of flour used

c = 12 - 2n

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Explanation:

The given solution is (2,9) which means x = 2 and y = 9 pair up together.

Replace x with 2 and replace y with 9.

Let's do so for the first equation

y = 3x+3

9 = 3*2+3

9 = 6+3

9 = 9

We get the same thing on both sides, which confirms the first equation.

Now let's check the second equation.

y = x+7

9 = 2+7

9 = 9

This equation is confirmed as well.

Both equations are true when (x,y) = (2,9) which confirms it is indeed the solution to the system.

----------------------------

If you are a visual learner, then I recommend graphing out the equations using a tool like GeoGebra or Desmos.

The two lines intersect at (2,9) which visually confirms it is the solution.

An object is moving at a speed of 27.3 yards per hour.

3 kilometers must first be converted to yards.

1 m =  1.09 yards.

1 Km = 1093.61

3 km to yards is  3280.84  

Currently, we must convert 5 days to hours. There are 24 hours every day, we shall multiply that number by 5 to find the number of hours in 5 days.

5 * 24 = 120 hours

To determine the speed in yards per hour, divide 3280.84 by 120.

3208.4/120

= 27.34 yards per hour

27.34 is 27.3 approximately.

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Answer: $27

Step-by-step explanation:

Your question is unfinished but I'm assuming you want to know how much he had before his purchase.

If he spent $27 and is now broke that means he only had $27 in his wallet before his purchase

Considering the volumes of the ball and of the box, it is found that the balls will not fit into the box.

The ball is spherical, with a diameter of 8 inches = radius of 4 inches.

The volume of an sphere of radius r is given by:

V = 4/3πr³.

Hence the volume of each ball is given by:

V = 4/3π x 4³ = 267.4 cm³.

The volume of the three balls is:

V = 3 x 267.4 cm³ = 802.2 cm³.

The box is a triangular prism, hence the volume is given by the multiplication of the base area by the height, as follows:

V = Ab x h.

The height of the box is of 9 cm, however we have to find the base area.

From the bisection, at the right side of the triangle, we have that half the side of the equilateral triangle is of 7.8 cm, hence the side length is of:

s = 2 x 7.8 = 15.6 cm.

Hence, bisecting the base triangle to find the height, it will have:

Then the height can be found as follows:

tan(30º) = h/7.8 (tangent = opposite side/adjacent side)

h = 7.8 x tan(30º)

h = 4.5 cm.

The area of a triangle is half the multiplication of the side length and the height, hence the base area is:

A = 0.5 x 15.6 x 4.5 = 35.1 cm².

Then the volume of the box is:

V = 35.1 x 9 = 315.9 cm³.

The volume of the three balls is of 802.2 cm³ > 315.9 cm³, hence the three balls will not fit into the box.

The box is missing and is given by the image at the end of the answer.

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Answer:

an inscribed​, sides​, ​4.5,cm ​, greater​, will

Answer:

no there will never have the same amount in their accounts at any point

Step-by-step explanation:

This firm expects to spend on the new word processor expense of  $1855 from the given probability distribution.

What is a probability distribution?

Given that the number of word processors, x, purchased each year has the probability distribution.

E(X)=1* (3/10)+2*(2/5)+3*(1/5)=1.7

E(X^2)=1^2(3/10)+2^2(2/5)+3^2(1/5)=3.7

Expense=E(1200x-50x^2)=E(1200x)+E(-50x^2)=1200E(x)-50E(x^2)

So

Expense=1200*1.7-50*3.7=1855

This firm expects to spend on the new word processor expense of  $1855 from the given probability distribution.

Complete question: A large industrial firm purchases several new word processors at the end of each year. The exact number of word processors purchased depends on the frequency of the number of repairs in the previous year. Suppose that the number of word processors x that are purchased each year has the following probability distribution:

x 0 1 2 3

f(x) 1/10 3/10 2/5 1/5

The cost of the desired model is $1200 per processor and a discount of 50 X2 dollars is credited towards any purchase. There is also a fixed cost of $600 regardless of the number of processors purchased. How much can this firm expect to spend on new word processors?

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The equation of the line with the point (1, 2) with the slope - 3 will be;

⇒ y = - 3x + 5

What is Equation of line?

The equation of line with slope m and passes through the point

(x₁, y₁) defined as;

⇒ y - y₁ = m (x - x₁).

Given that;

The slope of the line = -3

The point on the line is (1, 2).

Now,

Since, The equation of the line with slope m and passes through the point (x₁, y₁) defined as;

⇒ y - y₁ = m (x - x₁).

Hence, The equation of the line with slope - 3 and passes through the point (1, 2) will be;

⇒ y - y₁ = m (x - x₁).

⇒ y - 2 =-3 (x - 1).

⇒ y - 2 = -3x + 3

⇒ y = - 3x + 3 + 2

⇒ y = - 3x + 5

Therefore, The equation of the line with the point (1, 2) with the slope - 3 will be;

⇒ y = - 3x + 5

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Answer:

8363

Step-by-step explanation:

Solve this using BODMAS (Brackets of Division, Multiplication, Addition, Subtraction)

=> 2 + (45 + 92)63

=> 2 + (137)63

=> 2 + 8361

=> 8363

Answer:

- 3,  2/3

Step-by-step explanation:

Given:

3·x² + 7·x - 6 = 0

General Equation:

a·x² + b·x + c = 0

a = 3;

b = 7;

c = - 6.

Discriminant:

D = b² - 4·a·c = 7² - 4·3·(-6) = 49 + 72 =  121

√ (D) = √ (121) = 11

Solution:

x₁₂ = ( - b ± √(D) ) / (2·a);

x₁ = ( - 7 - 11 ) / (2·3) =  ( - 18) / 6 =  -3

x₂ = ( - 7 + 11 ) / (2·3) =  4 / 6 = 2 / 3

Answer:

Step-by-step explanation:

Use the slope formula of y^2-y^1 over x^2-x^1

(-9,0)

x^1 ,y^1

(-17,4)

x^2,y^2

4-0 over -17-(-9) ----> 4/-8

Simplify 4/-8 by dividing the numerator and denominator by 4

The sum of the angles of a triangle always equals 180°, then we can formulate the following expression:

(x + 69)° + (39 + x)° + 90° = 180°

By combining like terms in the above equation, we get:

x + x + 69 + 39 + 90 = 180

2x + 198° = 180°

We can solve for x to get:

2x + 198 - 198 = 180 - 198

2x = 180 - 198

2x = -18

x = -18/2

x = -9

Then, x equals -9.

In order to calculate the measure of angle A, we just have to replace the value of x into the equation 39 + x, then we get:

mmm

Then, the measure of angle A equals 30°.

The value of the function at -3 is g(-3) = -17 .

A function from set X to set Y is created by assigning an element from set Y to each element in set X. The function's domain and codomain are respectively referred to as the sets X and Y as a whole.

We know that g(x) = 3x-8

Therefore we substitute the value of x with -3 to get g(x) .

g(-3) = 3(-3)-8 = -9 - 8 = -17

Therefore the value of the function is -17.

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The slope of the line is 7 x - 8 y + 56 = 0  0r 8 y = 7x - 56

What does it mean by slope of a line ?

The ratio of the difference between the y- and x-coordinates of the two points that make up the line must be calculated. The slope of the line is the value that is obtained. It displays how the line's y-axis climb compares to its x-axis run.

Given : The two points are A( 0, 7 ) and B ( -8 , 0 )

The formula of the slope of the line is

y₂ - y₁ = m ( x₂ - x₁ )

And m = y₂ - y₁ / x₂ - x₁

m = - 7 / - 8 = 7/8

therefore , y - 0 = 7/8 ( x + 8 )

8 y = 7x + 56

7 x - 8 y + 56 = 0

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Відповідь B, вибачте, якщо я помиляюся

The criteria that always proves triangles are congruent are;

Option A; Corresponding congruent Angle-Side-Angle

Option B; Corresponding congruent Side-Angle-SideOption

D: 3 congruent sides

If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, twist, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

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Answer:

Kronos is a Titan Deity.

Step-by-step explanation:

He was a very powerful "Titan Deity" that was the King of the Titans and the Heavens.

i hope this helps c: <3

Answer: 7

Step-by-step explanation:

5(3x – 2)=  15x-10

15x-10+11 = 15x+1

15x + 1 = 106     -1

15x = 105     /15

x = 7

Answer:

Step-by-step explanation:

2y+8x=0

Converting to y-intercept form:

2y = -8x

y = -4x

So, the slope is -4 and the y-intercept is at (0,0).