Algebra 1 :
Work must be shown….

write the an equation for linear function f(x) if f(3)=-4 and f(2)=6

In this equation x=18

Work Shown:

5x-12=3x+24

Add 12 to both sides

5x-12+12=3x+24+12

Simplify

5x=3x+36

Subtract 3x from both sides

5x-3x=3x+36-3x

Simplify

2x=36

Divide both sides by two

2x/2 = 36/2

Simplify

x=18

Answer:

x=18

Step-by-step explanation:

1. Add 12 to both sides

5x-12 +12 = 3x+24 +12

2. Simplify

5x=3x+36

3. Subtract -3x from both sides

5x-3x=3x+36-3x

4. Simplify

2x=36

5. Divide both sides by same factor (2)

2x/2=36/2

6. Simplify

ANSWER: x=18

Answer:

[tex]\displaystyle 9,6[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{6,4} = csc\:42 \hookrightarrow 6,4cot\:42 = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

OR

[tex]\displaystyle \frac{6,4}{x} = sin\:42 \hookrightarrow xsin\:42 = 6,4 \hookrightarrow \frac{6,4}{sin\:42} = x \hookrightarrow 9,5646499191... = x \\ \\ 9,6 ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

Answer:

you will fill 78 boxes

Step-by-step explanation:

dozen = 12

936 divided by 12=78

Answer:

x = 8

Step-by-step explanation:

Both these angles are equal because they are equal. So we make this equation:

8x + 36 = 5x + 60

-5x          -5x

3x + 36 = 60

      -36   -36

3x = 24

Divide both sides by 3:

x = 8

Answer:

The equation of the line is y = 2x + 2

Step-by-step explanation:

Equation of a linear line can be placed in the format:

Formula for finding the slope(m):

[tex] \sf{}m = \frac{x- x_1}{y - y_1} = \frac{y_2 - y_1}{x_2 - x_1} \\ \\ \sf{}m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex] \sf{}m = \frac{8 - 4}{5 - 3} = \cancel \frac{4}{2} = 2[/tex]

Form the intermediate equation:

y = mx + c

[tex] \mathtt{y = 2x + c}[/tex]

Find the y-intercept:

Substitute (3,4) into the equation

[tex] : \longrightarrow \: \mathtt{y = 2x + c} \\ \\ : \longrightarrow \:\mathtt{4 = 2(3) + c} \\ \\ : \longrightarrow \: \mathtt{4 = 6 + c} \\ \\ : \longrightarrow \: \mathtt{c = 6 - 4} \\ \\ : \longrightarrow \: \mathtt{c = 2}[/tex]

Form the equation:

[tex]: \longrightarrow \: \mathtt{y = 2x + c} \: \\ \\ \mathtt{putting \: values \: of \: c} \\ \\ : \longrightarrow \: \mathtt{y = 2x + 2}[/tex]

The equation of the line is [tex]\underline\mathfrak\red{{{y = 2x + 2}}}[/tex]

Answer: 24

Step-by-step explanation:

Corresponding sides of similar figures are proportional.

Answer:

160°

Step-by-step explanation:

Minor Arc NR is equal to the measure of its central angle, S.

S and 20 are supplementary angles, so they add up to 180.

So, s +20 =180

S = 160, so NR = 160 as well

The equation in spherical coordinates will be a constant, as we are describing a spherical shell.

r(φ, θ) = 8 units.

The equation:

x^2 + y^2 + z^2 = R^2

Defines a sphere of radius R.

Then the equation:

x^2 + y^2 + z^2 = 64

Defines a sphere of radius √64 = 8.

Then we will have that the radius is a constant for any given angle, then we can write r, the radius, as a constant function of θ and φ, the equation will be:

r(φ, θ) = 8 units.

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The equation in spherical coordinates is r(φ, θ) = 8 units.

Spherical coordinates of the system denoted as (r, θ, Φ) is the coordinate system mainly used in three-dimensional systems.

The equation of the spherical coordinates is written as;

[tex]\rm x^2 + y^2 + z^2 = R^2[/tex]

Where R is the sphere of radius.

The given equation of the spherical coordinates is;

[tex]\rm x^2 + y^2 + z^2 = 64^2[/tex]

Here 8 is the sphere of radius.

Hence, the equation in spherical coordinates is r(φ, θ) = 8 units.

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Answer:

x = 1, y = -1, and z = 2

Answer:

D, C, E, A, B

Step-by-step explanation:

This is essentially the construction of a perpendicular bisector.

D. Draw a straight line from the center, O, through P and extending past P

C. With the compass on P, draw an arc on each side of P. Label the intersections Q and R.

E. With the compass on Q, set its width to a setting greater than. Make an arc outside the circle

A. Without changing the compass width, place the compass on R and make another arc, intersecting the first, and label the intersection S

B. Draw a line through P and S.

Arc length is the distance between 2 points in the arc of a circle. The arc of the circle could be calculated by using the following formula: Arc: Length = Θ x r

What does arc mean?

In general, the arc is a portion of the curve. In mathematics, unless otherwise begain, then arc usually refers to the portion of the circle. Types of arcs. A chord, or the central angle and an inscribed angle may divide the circle into 2 arcs.

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Answer:

There is 1/6 chance that you will roll a 5

Step-by-step explanation:

Hope that helps!

The computation of the equation shows that the extra data that will be used to have the same amount will be 5 gigabytes.

Let the amount of extra data used be represented by x.

Plan 1 = 35 + (5 × x) = 35 + 5x

Plan 2 = 50 + (2 × x) = 50 + 2x

35 + 5x = 50 + 2x

Collect like terms

5x - 2x = 50 - 35

3x = 15

x = 15/3 = 5

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Answer:

the answer should be -185

Answer:

0

Step-by-step explanation:

1/2 (18 + 14)- (18 - 14)^2

=1/2 (32) - 4^2

=16 - 16

=0

Answer:

Step-by-step explanation:

The amount of fencing provided is 240 meters, and it only needs to cover 3 sides, as one side is the river and does not need to be fenced. 240/3 is 80, which is the length and width of the pasture. 80 is the length and width because squares have a larger area than rectangles if the perimeter is the same.

In conclusion, the pasture is a square with side length of 80. The dimensions of the pasture are 80x80

Hope this helped :)

Answer:

B

Step-by-step explanation:

-4+4=0

If the temperature starts at -4 four and increases by 4, the temperature will be 0.

Answer: 4

Step-by-step explanation:

It sounds like you want to know how many pounds of coffee Latoya bought. First, let's figure out how much she spent. Subtract the amount she has left from the amount she started out with:

90 - 57.68 = 32.32

Latoya spent $32.32 on coffee. Since it cost $8.08 per pound, we can divide the total cost by 8.08 to figure out how many pounds she bought:

32.32/8.08 = 4

Answer:

(12x8) + 5

Step-by-step explanation:

The product of 12 and 8 would be multiplication, so you can represent that as. (12x8) or 12x8.

Hello!

First of all, "the product" of 2 numbers means you multiply these 2 numbers.

Then, "5 more" means we add 5.

This is how the phrase "5 more than the product of 12 and 8" is written as a numerical expression:

(12×8)+5

[In case you need to simplify it]

96+5

101

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Answer:

x = 28.744

Step-by-step explanation:

Seeing as this is a right triangle, and you're given an angle, an unknown measurement to the opposite side, and the measure of the adjacent side. You can use trig functions. In this case, tangent, because you are given the opposite and adjacent, and tangent covers opposite/adjacent.

Tan(32)=x/46

Tan(32)46=x

28.744=x

Hey there!

These are the factors of 12:

1, 2, 3, 4, 6, 12

These are the factors that add up to 7:

6+1

3+4

These are the factors of 12 that add up to 7 and multiply to 12:

3 & 4

Hope everything is clear.

Let me know if you have any questions!

Always remember:  Knowledge is power!

Answer:

8. = 0.1x = -0.12. 8yz. 88. D. – 1.2. = y 2 3

Step-by-step explanation:

Answer:

The answer are

12(x + 24) ❌

x(12 + 36) ❌

3(4x + 12) ✅

4(3x + 9) ✅

4(3x + 9x) (Again?) ✅

Step-by-step explanation:

12x + 36 equals 12(x + 3) (Keep that in mind)

12(x + 24) is not correct because the result is 12x + 288. Therefore, the first option is incorrect. ❌

x(12 + 36) isn't correct either. This is because the result is 48x. Therefore, the second option is incorrect too. ❌

3(4x + 12) is correct because the result is 12x+36, but wait! Remember how I told you to keep 12(x + 3) in mind? Well, when you solve 12x+36, the result is 12(x + 3). Therefore, the third option is correct. ✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too.✅

4(3x + 9) is correct because the result is 12x+36 just like the third option, but wait! Since it is the same as the third option, that means that the result will be 12(x + 3). Therefore, the fourth option is correct too. (Again?) ✅

Hope this helped! Keep strong and good luck! :)

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Unit conversion is a way of converting some common units into another. The cost of buying 0.45 pounds of Lily's tea is $144.93.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given that one gram is equivalent to 0.035273 ounces, while 1 pound is equal to 16 ounces. Therefore, if we convert 0.45 pounds to grams,

Pounds to Ounces

[tex]\rm 1\ pound = 16\ ounces\\\\0.45\ pounds = 0.45 \times 16 = 7.2\ ounces[/tex]

Grams to Ounces

[tex]\rm 1\ gram = 0.035273\ ounces\\\\1 ounce=\dfrac{1}{0.035273} = 28.35\ grams\\\\7.2\ ounces = 7.20 \times 28.35 = 204.12\ grams[/tex]

Since it is given that the cost of 1 gram of tea is $0.71, therefore, the cost of 204.12 grams of tea can be written as,

[tex]\rm Total\ cost= 204.12 \times \$0.71 = \$144.93[/tex]

Hence, the cost of buying 0.45 pounds of Lily's tea is $144.93.

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Answer:

the answer is 5x divide by 12

Answer:

50.29in

Step-by-step instructions:

First find the semi-circular part:- 1/2×2πr

=1/2×2×22/7×9

=28.29

Find whole perimeter:- 28.29+5+5+12 = 50.29 in

therer sorry for the cropped pic btw lol

Answer:

17.5

Step-by-step explanation:

The area for a triangle is (base*height)/2 this means

(5*7)/2 = 17.5 units^2

Answer:

Step-by-step explanation:

base = b = 5 units

height = h = 7 units

[tex]\bf \boxed{\text{Area of triangle = $\dfrac{1}{2}bh$}}[/tex]

                           [tex]=\dfrac{1}{2}*5*7\\\\\\=\dfrac{35}{2}\\\\\\= 17.5 \ square \ units[/tex]

Hey there!

Solving

3x - 4 = 5

Add 4 to both sides

3x - 4 + 4 = 5 + 4

3x = 9

x = 9/3

x = 3

Equivalent expressions are:

1. 3x = 9

2. 3x - 4 + 4 = 5 + 4

3. 4 = 5 - 3x

If you're confused about the last one

Solving

−4=5−3x

Step 1: Simplify both sides of the equation.

−4=5−3x

−4=5+−3x

−4=−3x+5

Step 2: Flip the equation.

−3x+5=−4

Step 3: Subtract 5 from both sides.

−3x+5−5=−4−5

−3x=−9

Step 4: Divide both sides by -3.

−3x/−3 = −9/−3

x=3 (Still the same answer)

Answer:-1

Step-by-step explanation:

5x+7=2

5x=5

X=1