Solve for x: 3(x + 1) = −2(x − 1) − 4

1

−1

−5

−25

Answer: y = -12

Equation's:

Solve them simultaneously:

4x - 28 = 1.5x - 18

4x - 1.5x = -18 + 28

2.5x = 10

x = 10/2.5 = 4

Now find the value of y:

y = 4x - 28

insert x = 4

y = 4(4) - 28

y = 16 - 28 = -12

Answer:

[tex]y=-12[/tex]

Step-by-step explanation:

Given system of equations:

[tex]\begin{cases}y = 4x - 28\\y = 1.5x - 18\end{cases}[/tex]

Use the method of substitution to solve for x:

[tex]\begin{aligned}y & = y\\\implies 4x-28 & = 1.5x - 18\\4x-1.5x & = -18+28\\2.5x & = 10\\x & = 10 \div 2.5\\x & = 4\end{aligned}[/tex]

Substitute the found value of x into one of the equations and solve for y:

[tex]\begin{aligned} y & = 4x-28\\\implies y & =4(4)-28\\y & = 16-28\\y & = -12\end{aligned}[/tex]

Answer:

Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.

Answer:

yes

Step-by-step explanation:

Yes.

The graph of y = 2x - 2 is a straight line sloping up to the right.

It passes the vertical line test, so it is a function.

Answer:

x=-3

Step-by-step explanation:

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

Answer:

Step-by-step explanation:

Multiply part of the right side by - 4

2x = -4*1/4 + 4* 3x/4  + 4                             Combine

2x = - 1 + 3x + 4                                            Combine again

2x = 3 + 3x                                                    Subtract 3x both sides

2x - 3x = 3                                                     Combine

-x = 3                                                              Multiply by -1.

-1 * -x = - 1 * 3

x = - 3

The effect that the change in scale has on what the graph suggests is C. The differences between the groups seems much less in Graph B.

It should be noted that graph simply means a diagram that's used to show the information about a data given.

Here, the effect that the change in scale has on what the graph suggests is that the differences between the groups seems much less in Graph B.

Therefore, the correct option is C.

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The multiplication of the matrix [tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]will be [tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex].

A matrix is a representation of the rectangular arrangement of numbers into rows and columns.

Matrix multiplication refers to the product of two matrices.

The condition of matrix multiplication is that the number of columns of the 1st matrix must equal the number of rows of the 2nd one.

The given matrix are

[tex]\left[\begin{array}{ccc}4\\9\\7\end{array}\right] \left[\begin{array}{ccc}1&-2&1\end{array}\right][/tex]

The multiplication of the matrix will be

[tex]\left[\begin{array}{ccc}4&-8&4\\9&-18&9\\7&-14&7\end{array}\right][/tex]

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Answer:

30%

Step-by-step explanation:

First subtract: 1 - .70 = .30

Then move decimal over to the right 2 times and add percentage sign instead of the decimal: 30%

Answer:

Angles of the isosceles triangle are 36°, 72° , 72°

Step-by-step explanation:

Vertex angle : Base angle = 1 : 2

Vertex angle = x

Base angle = 2x

Sum of all angles of a triangle = 180°

          x + 2x + 2x = 180°

                      5x = 180

                        x = 180 ÷ 5

                        x = 36°

2x = 2 *36 = 72°

Angles of the isosceles triangle are 36°, 72° , 72°

Answer:

what environmental ethics

Answer: a1=6

               An = An-1 - 4

Step-by-step explanation:

N represent what number in the sequence you choose. So in the equation n-1 would be the umber in the equation subtracting 1 then subtracting the difference. The factor you are multiplying by in this sequence is -4. You find the difference by taking any number in the sequence and dividing it by the previous number in the sequence.

Step-by-step explanation:

Cancel out the common factor 2

Answer:

3.82362

rounded: 3.82

Step-by-step explanation:

If the team can only send four divers to a competition. Then the number of the ways will be 330.

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

There are eleven divers on a swim team. If the team can only send four divers to a competition.

Then the number of the ways will be

Number of ways = ¹¹C₄

Number of ways = 11! / [(11 - 4)! x 4!]

Number of ways = 330

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Answer:

part 1) BC is 17491 ft

part 2)  CD is 6499 ft

Step-by-step explanation:

Answer:

See below

Step-by-step explanation:

I do not see any options, but it is important to note that the bigger the level of confidence, the larger the margin of error will be.

The number of students in the school given the number of people that attended the dance is 128.

Percentage is the fraction of an amount that is usually expressed as a number out of hundred. The sign used to represent percentages is %.

Number of students = number of students at the dance / percentage that attended the dance

32 / 25%

32 / 0.25 = 128

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Answer:

y = 5x + 2

Step-by-step explanation:

slope intercept form is y = mx+ b

the y- intercept is 0,2 so 2 is your b.

for m you do rise over run aka y/x. for every 5 rise up the x runs one so your slope(m) = 5

 so y=5x+2

After calculation the value is 4.62 * 10⁴ in Scientific Notation.

It is a way of presenting very large and small number in simpler and more understandable form.

It is given that

Calculate 3.1 x 10⁸ divided by 6.7 x 10³

[tex]\rm \dfrac{3.1*10^8}{6.7*10^3}\\\\By \;the \;exponent\; theorem\\\\\dfrac{a^m}{a^n} = a ^{m-n}[/tex]

Therefore

0.462 * 10⁵

4.62 * 10⁴

Therefore the answer after calculation is 4.62 * 10⁴ .

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Analyzing the quadratic functions, it is found that the correct option is D. The functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

Looking at the graph, Function f has a minimum value of 1 at x = -3. Hence, the axis of symmetry is x = -3.

Function g has a minimum value of 6 at x = -3. Hence, the axis of symmetry is also x = -3.

Therefore, the functions f and g have the same axis of symmetry, but the minimum value of f is less than the minimum value of g.

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Answer:

-2/35

Step-by-step explanation:

Slope y-intercept form : y = mx + b

Here m is the slope and b is the y-intercept

Write the given equation in slope y-intercept form.

   [tex]\sf \dfrac{2}{7}x + 5y = 15\\\\[/tex]

           [tex]\sf 5y = \dfrac{-2}{7}x + 15\\\\ y =\dfrac{-2}{7*5}x + \dfrac{15}{5}\\\\ y = \dfrac{-2}{35}x + 3\\\\ \boxed{\bf Slope = \dfrac{-2}{35}}[/tex]

An example of a exponential function with growth rate of 5 is given as y = 2(5)^4

These are functions that increases geometrically. The standard exponential function is given as;

y = ab^x

where

An example of a exponential function with growth rate of 5 is given as y = 2(5)^4

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The value of y given the inverse relationship is 5.

If two variables vary inversely, as one variable increases, the other decreases in value.

The equation that is used to represent inverse relationship is:

y = k/x

Where k is the constant of proportionality

k = yx

k = 4 x 15 = 60

y = 60 / 12

y = 5

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Answer:

84km

Step-by-step explanation:

He has to travel 7 km in the morning to school and 7 km in the afternoon to home. 7km x 2 = 14km/day

He's making this trip 6 days a week: 6 days x 14km/day = 84km

7km x 2/day x 6 days = 84km

Answer:

Step-by-step explanation:

There are 11 students in total.

6 girls.

and 5 boys.

so the probability of selecting a girl is 1/5  because 5 boys or it could be 1/11 if i am not mistaken.

(which i might be)

Answer:

The third option.

Step-by-step explanation:

It is the third option because it is subtracting by 2 each time.

Hope this helps!

If not, I am sorry.

Answer:

388848y2

Step-by-step explanation:

yup yup

Answer:

D(x=1).

Step-by-step explanation:

2(5x+8)=6x+20

10x+16=6x+20

10-6x+16=6x-6x+20

4x+16=20

4x+16-16=20-16

4x=4

4x/4=4/4

x=1

The solution to this equation is x = 1

Given the equation, we apply the distributive property.

2( 5x + 8 ) = 6x + 20

10x + 16 = 6x + 20

10x - 6x = 20 - 16

4x = 4

x = 4 ÷ 4

x = 1

Therefore, the value of this equation is x = 1

Answer:

try texting new food

Step-by-step explanation:

I do not know

Answer:

J

Step-by-step explanation:

F is wrong, Lets say K is 1, then 7-1 = 6

G is wrong, say K is 2, then 6+2 = 8

H is wrong, say K is 1, then 1 - 5 = -4

J is right, Say K is 1, then 7+2 = 9, say K is 2, then 7+4 = 11, any integer used is an odd number

-- Gage Millar, Algebra 1/2 Tutor (Pending Pre-Calc Tutor)

Answer:

[tex]3,10,29,66,127,218[/tex]

Step-by-step explanation:

[tex]f(n) = n^3 +2\\\\f(1) = 1^3 +2 = 1+2=3\\\\f(2) =2^3 +2 = 8+2=10\\\\f(3)=3^3 +2 = 27+2 = 29\\\\f(4) = 4^3 +2 = 64 +2 = 66\\\\f(5) = 5^3 +2 = 125+2 = 127\\\\f(6) = 6^3 +2 = 216+2 = 218[/tex]