Tutorial D
Subtract. Write your answer as a fraction or
as a whole or mixed number.
6-1/4-2 1/1 =
Submit

Answer:

b) 2(3x+4)

Step-by-step explanation:

Distributive formula: a(b + c)  = ab + ac

Solving steps:

a) 2(3x-4) = 2(3x) + 2(-4) = 6x - 8

b) 2(3x+4) = 2(3x) + 2(4) = 6x + 8

c) 2(4x+6) = 2(4x) + 2(6) = 8x + 12

d) 2(3x+8) = 2(3x) + 2(8) = 6x + 16

Among from all the options, option B is equivalent to 6x + 8.

Answer:

Step-by-step explanation:

We can do this as a normal problem on the left.

(-7)x2+9 we do the multiplication first, then add. (Multiplication and division always happen before addition and subtraction, unless brackets are being used.)

->    -14+9=-5

Now that we know the left side of the equation is equal to -5, we must find which answer is GREATER than -5, because instead of an equal sign, there is a < meaning greater than.

4+[3x(-2)] for this one we do the multiplication first

4+(-6)=-2. -2> -5

Thus, it is the first answer, because that is the one that is greater than -5.

Answer: S=6x²+25x+14

Step-by-step explanation:

[tex]\displaystyle\\S=S_1+2S_2\\S_1=(2x+7)(x+3)\\S_1=(2x)(x)+(7)(x)+(2x)(3)+(7)(3)\\S_1=2x^2+7x+6x+21\\S_1=2x^2+13x+21\\\\S_2=\frac{(\frac{2x+7)}{2})(4x-2) }{2} \\\\S_2=\frac{(2x+7)(4x-2)}{(2)(2)} \\\\S_2=\frac{(2x)(4x)+(7)(4x)+(2x)(-2)+(7)(-2)}{(2)(2)} \\\\S_2=\frac{8x^2+28x-4x-14}{(2)(2)} \\\\S_2=\frac{8x^2+24x-14}{(2)(2)} \\\\S_2=\frac{(2)(4x^2+12x-7)}{(2)(2)} \\\\S_2=\frac{4x^2+12x-7}{2} \\Hence,\\S=2x^2+13x+21+2*\frac{4x^2+12x-7}{2} \\S=2x^2+13x+21+4x^2+12x-7\\S=6x^2+25x+14[/tex]

Answer:

D - 59

Step-by-step explanation:

All the options are even except from D which is odd

Hope this helps :)

The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.

According to the task content, it follows that the score needed so that an average score of 90 is earned on all four tests is to be determined.

Since, The average is the ratio of the sum of all scores to the number of scores; we have;

90 = (88 + 92 + 87 + x)/4

Multiply both sides by 4 so that we have;

360 = 88 + 92 +87 + x

Isolate x on one side of the equation;

x = 360 -88 -92 - 87

x = 93.

Ultimately, The score which is needed on the fourth test so that as average score of 90 is earned as required in the task content is; 93.

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Answer:

1 1/2 ÷ 1/2 = 3/2 ÷ 1/2 = 3/2 × 2 = 3

Using proportions, the coordinates of C are given as follows: (60,41).

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

Point B partitions AC in the ratio 1:3, hence:

B - A = 1/4(C - A)

The x-coordinate of C is found as follows:

12 + 4 = 1/4(x + 4)

16 = 1/4(x + 4)

x + 4 = 64.

x = 60.

The y-coordinate of C is found as follows:

5 + 7 = 1/4(y + 7)

12 = 1/4(y + 7)

y + 7 = 48

y = 41.

The coordinates of C are given as follows: (60,41).

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Answer:

Step-by-step explanation:

Answer:

17

Step-by-step explanation:

put the point on 17 on the number line

Answer:

17

Step-by-step explanation:

12-(-5) = 12+5. Two negatives create a positive. 12+5=17

Answer:

1. Top left and top right. Middle right

2. 43/24

3. B(42.5%)

4. A(3.25)

Step-by-step explanation:

2. Get the denominators the same(denominator in this case would be 24), and then make an improper fraction.

3. Convert the fraction 17/40 to a percentage(42.5%)

4. 6 hours x 60 minutes= 360 minutes

1170/360 = 3.25 laps per minute

Hope this helps! <3

The solution to the equation 7(x + 2) + 4x = 6(2x - 4) gives the result x = 38

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the equation:

7(x + 2) + 4x = 6(2x - 4)

Opening the bracket gives:

7x + 14 + 4x = 12x - 24

Collecting like terms:

x = 38

The solution to the equation 7(x + 2) + 4x = 6(2x - 4) gives the result x = 38

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Answer:

slope: 7

Y-int: -100

Step-by-step explanation:

Basically just solve for y

Answer:

that would be 4/3 or 1 1/3

Step-by-step explanation:

Hey there!

6 ÷ 3 * 2/3

= 6/3 * 2/3

= 2 * 2/3

= 2/1 * 2/3

= 2 * 2 / 1 * 3

= 4/3

= 1 1/3

Therefore, your answer should be:

4/3 or 1 1/3 (they are both equivalent to each other so any should work)

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

The solution of x in the equation 3^(x -4) = 6 is x = 5.63

The equation is given as

3^(x -4) = 6

Apply the law of indices on the expression 3^(x -4) to rewrite it

So, we have

3^x/3^4 = 6

The above equation becomes

3^x = 6 * 3^4

Evaluate the product

So, we have

3^x = 486

Take the logarithm of bot sides

xlog(3) = log(486)

Divide both sides by log(3)

x = log(486)/log(3)

Evaluate

x = 5.63

Hence, the solution of x in the equation 3^(x -4) = 6 is x = 5.63

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If the ratios of the measures of the three angles is 4: 5: 11 then the measures of the three angles in a triangle is 84°, 30° and 66° respectively.

An angle is a figure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

The ratios are 4: 5: 11 then

Angle A = 14, Angle B = 5, Angle C = 11

Total ratio = 14 + 5 + 11 = 30

The total angle in a triangle = 180°

Angle A

= 14 / 30 × 180°

= 0.4666666666666 × 180°

= 84°

Angle B

= 5/30 × 180°

= 0.1666666666666 × 180°

= 30°

Angle C

= 11/30 × 180°

= 0.3666666666666 × 180°

= 66°

Therefore, the measures of the three angles in a triangle is 84°, 30° and 66° respectively.

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The measures of the angles in each triangle are 36°, 45°, and 99.°

Angle A = 4

Angle B = 5

Angle C = 11

Total ratio = 4 + 5 + 11

                 = 20

The total angle in a triangle = 180°

Angle A = 4 / 20 × 180°

             = 36°

Angle B = 5/20 × 180°

             = 45°

Angle C = 11/20 × 180°

             = 99°

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Hello,

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

[tex]g(x) = 4 {x}^{2} - 9 + 8 = 4 {x}^{2} - 1[/tex]

Compare and contrast the process of graphing a radical function using transformations with graphing a quadratic function using transformations.

What distinguishes glide reflection from reflection?

What do the three reflections that make up the glide reflection look like?

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Answer:

The opposite of -3/5 is 3/5 because the opposite of negative is a positive. The absolute value of -3/5 is 3/5 because the absolute value of any number is always positive.

a.) 3/5

b.) 3/5

Hope that Helps! :D

Answer: Option A

Step-by-step explanation:

(-3,0) is an x intercept because y is equal 0

1. x intercept of the graph of k is -3

Step-by-step explanation:

2. zeros can be found by setting the function to zero

function is y = 2x + 6

y = 2x + 6 -> 0 = 2x + 6

x would need to be -3 to get the zero of k

3. its not the third option : the slope is 2

4. if you graph it, it doesnt pass thru -1,-8

Step-by-step explanation:

calculate the interior angle of the pentagon then do the rest

Answer: x=2   DS=10   SE=10   DE=20

Step-by-step explanation:

[tex]7x-4=16-3x\\7x-4+3x=16-3x+3x\\10x-6=16\\10x-4+4=16+4\\10x=20\\[/tex]

Divide the equation by 10:

[tex]x=2[/tex]

Hence,

[tex]DS=(7)(2)-4\\DS=14-4\\DS=SE=10\\DE=DS+SE\\DE=10+10\\DE=20[/tex]

By substitution, the solution of the system of equations, 4x + 2y = 7 and y = 5x, is (1/2 , 5/2).

A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.

There are three methods that can be used to solve system of linear equations.

1. Elimination

2. Substitution

3. Graphing

Using substitution method, given two linear equations in x and y,

4x + 2y = 7     (equation 1)

y = 5x     (equation 2)

Since the second equation is already expressed in y in terms of x, substitute the second equation to the first equation.

4x + 2y = 7     (equation 1)

4x + 2(5x) = 7

4x + 10x = 7

Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solving for x.

4x + 10x = 7

14x = 7

x = 1/2

Substitute the value of x in the second equation and solve for y.

y = 5x

y = 5(1/2)

y = 5/2

Hence, the solution of the given system of equations is (1/2 , 5/2).

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Two rational expressions that simplify to (x+1) / (x-5) are equals to

(x+1)²/ (x+1) (x-5) and (x+1)(x-5) / (x-5)².

As given in the question,

Simply rational expression is given by (x+1) /(x-5)

Two rational expressions that simplify to given expression are as follow:

        (x+1)²/ (x+1) (x-5).

   2.  Multiply (x-5) to the numerator and denominator of the given rational                      

        expression

        (x+1)(x-5)/ (x-5)².

Therefore, two rational expressions that simplify to (x+1) / (x-5) are equals to  (x+1)²/ (x+1) (x-5) and (x+1)(x-5) / (x-5)².

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Answer:

38.46

Step-by-step explanation:

using the formula A=πr^2, which is the formula of the area of a circle, you get 38.46, when rounded, ehich the diameter is 2 times the radius, we divide 7 by 2z leaving us with r=3.5, so 38.46=3.14(3.5)^2.

Answer:

y = 60.5 or 11

Step-by-step explanation:

If this is intended to be 2y = 121 (2 times y), that would mean the answer would be 60.5.
This is because you’d divide both sides by 2, resulting in y = 60.5.

However, should this be intended as [tex]y^{2}[/tex]= 121, the answer would be 11.

What we do to find the pure equivalent of y is square root both sides as y is squared.

[tex]\sqrt{y^{2} } = \sqrt{121}[/tex]

We come to find that the square root of 121 is 11

[tex]y = 11[/tex]

Answer:

I got 6

Step-by-step explanation:

Hope this is correct :)

The equation of the line is y = -3/4x + 5

The equation of a line is expressed as;

y = mx + c

Where;

To determine the intercept, we have;

2= -3/ 4(8) + c

2 = -24/8 + c

2 = -3 + c

Make 'c' the subject of formula

c = 2 + 3

c = 5

The equation of the line is y = -3/4x + 5

Thus, the equation of the line is y = -3/4x + 5

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Answer:

41957

Step-by-step explanation:

39429

2293

235

_______

41957

set as brainliest

The cost of the MP3 player in the year 2013 will be $83.99

If the trend continues, that means the drop in price at the same rate each year

In 2003 it was $499

In 2009 it was $249.99

Price drop each year (from 2003 to 2009) :

= 499 - 249.99 / 2009 - 2003

= 249.01 / 6

Therefore, the price drop each year  = $41.50

Similarly, Price drop each year (from 2009 to 2013) :

(2013 - 2009) x 41.5 = $166

Thus, 249.99 - 166 = 83.99

Therefore, cost of the MP3 player in the year 2013 will be $83.99

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The milliliters of blood the volunteers donate is 470 * (32 - n)

The given parameters are

Total = 32

Unqualified = n

The number of qualified volunteers would be

Qualified = 32 - n

A volunteer donates 470 ml

So, we have

Total = 470 * (32 - n)

Hence, the milliliters of blood the volunteers donate is 470 * (32 - n)

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