justin starts a bank account with $85 in his savings,and he puts in an additional 15 dollars a month towards his savings

Answer:

The correct option is A.

Step-by-step explanation:

The given inequality is

[tex]y\leq -2x[/tex]

The sign of inequality is ≤, it means the points on relation line lie in the solution set.

The related equation of the inequality is

[tex]y=-2x[/tex]

At x=0,

[tex]y=-2(0)=0[/tex]

At x=1,

[tex]y=-2(1)=-2[/tex]

Plot the points (0,0) and (1,-2) on a coordinate plane.

The sign of inequality is ≤, it means we have shade below the line.

The point (-2,4) and (3,-6) are in solution set because,

[tex]4\leq -2(2)\Rightarrow 4\leq 4[/tex]            (True)

[tex]-6\leq -2(3)\Rightarrow -6\leq -6[/tex]           (True)

Therefore option A is correct.

The points (1,2) and (1,3) are not in the solution set because,

[tex]2\leq -2(1)\Rightarrow 2\leq -2[/tex]            (False)

[tex]3\leq -2(1)\Rightarrow 3\leq -2[/tex]           (False)

Therefore options B,C and D are incorrect.

Answer:  (1,2) (-2,-4)

Step-by-step explanation:

Answer:

A motor running at 75 revolutions per second.

Step-by-step explanation:

Given statement: A motor running at 4500 RPM, revolutions per minute.

⇒ In one minute , a motor running at 4500 revolutions.

Use conversion:

[tex]1 min = 60 sec[/tex]

We have to calculate how many revolutions per second.

in 60 sec , a motor running at 4500 revolutions

then,

in 1 sec , a motor running at [tex]\frac{4500}{60} = 75[/tex] revolutions.

Therefore, a motor running at 75 RPS, revolution per second.

Answer:

Motor run in 1 second = 75 revolution.

Step-by-step explanation:

Given  : A motor running at 4500 RPM, revolutions per minute,

To find : how many revolutions per second.

Solution : We have given

Motor run in minute = 4500 revolution.

1 minute = 60 second .

Then  ,

Motor run in 60 second  = 4500 revolution.

Motor run in 1 second = [tex]\frac{4500}{60}[/tex] revolution.

Motor run in 1 second = [tex]\frac{450}{6}[/tex] revolution.

Motor run in 1 second = 75 revolution.

Therefore, Motor run in 1 second = 75 revolution.

Answer:

y = -8

Step-by-step explanation:

The domain is the x values so x=-3

y = x-5

Substituting x=-3

y = -3-5

y=-8

Step-by-step explanation:

[tex]\sf \longmapsto{y = - 5 + - 3} \\ \\ \sf \longmapsto{y = - 5 + - 3 = \red{ - 8}} \\ \\ \sf \longmapsto \boxed{ \sf\: y = - 8}[/tex]

To change the story from first person to third person point of view, first-person pronouns like 'I', 'me', and 'we' should be changed to third-person pronouns such as 'they', 'he', 'she', or the friends' names.

To change the point of view of the story from first person to third person, it is necessary to change the pronouns used in the narration. If the original story used first-person pronouns such as I, me, and we, these would need to be changed to third-person pronouns such as they, he, she, or the friends' names to reflect the third person point of view.

For example, a sentence that originally reads "We went to the park after school" would change to "They went to the park after school" in the third person point of view. This shift enables the story to be told as if an outside observer is describing the events that happen to the group of friends, rather than the friends themselves narrating the story.

Answer:

option A

-2x + 4y = 4

-3x + 6y = 6

Step-by-step explanation:

In option A, if the student multiply the first equation by 3 and the second equation by -2, then the equations become

-6x+12y = 12 and

6x-12y =-12

If she adds both equations, she will get 0 = 0

This means that the system has infinite number of solutions.

Hence, the student could have started with equations -2x + 4y = 4 and -3x + 6y = 6.

Answer:

y =  8x + 6

Step-by-step explanation:

The slope intercept form is: y = mx + c

where m ⇒ slope

          c ⇒ y-intercept

          (x,y) is a point on the graph the  satisfy the equation representing that graph.  x is the x-coordinate of a point on the line and y is the y-coordinate of a point on the line.

m  = 8

Y-intercept = 6

y = mx + c   ⇒ y =  8x + 6

[tex]y=3-2x\\\\4x-y=4x-(3-2x)=4x-3+2x=6x-3\\\\\text{Put}\ x=-5+6i\ \text{to the expression}\ 6x-3:\\\\6(-5+6i)-3\qquad\text{use distributive property}\\\\=(6)(-5)+(6)(6i)\\\\=-30+36i\\\\Answer:\ \boxed{4x-y=-30+36i}[/tex]

Answer:

Sometimes

Step-by-step explanation:

When you deal with a system of equations, there may be no solution; there may be one solution; there any positive integer number of solutions; there may be an infinite number of solutions.

The answer is : sometimes

Answer:

sometimes, I got it right on the quiz I just took :)

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.[/tex]

Answer:

c is the answer

Step-by-step explanation:

(3,-1) and (4,2)

find the slope y2-y1 over x2-x1

so 2 and -1 is 2+1 = 3 and

4-3 = 1

so 3/1 = 3 so it is c

The range of a function is the set of y-values the function contains. Thus, in this case, the range would be the set of values under the y column, as this represents the y-values the function produces.

We see "2, 3, 4, 2" under the y column. Since we are establishing a set of values, we are going include all the values under the column, which includes 2, 3, and 4. We are not going to repeat the second 2 because it isn't necessary, as 2 is already in the set thus.

Thus, the final set for the range of the function is {2, 3, 4}, or Choice A.

Answer:

SO if f(x)= |x-5|+3 then F(2)= 6

Step-by-step explanation:

These signs |  | mean that it is an absolute value equation. SO that means any negative will automatically change to positive values and positive values will stay at positive values. You are supposed to substitute 2 in for x and if you do 2-5 then that is negative 3 but it changes to positive 3 and add three and then f(2)= 6

Answer:

16

Step-by-step explanation:

We want to divide 1/2 pound in 8 equal parts

1/2 dividend by 8/1 is the same as  

1/2 multiplied by 1/8 =1•1/2•8=1/16

Each package will weigh 1/16 of a pound  

Or 1 ounce since 1 pound = 16 oz

Answer:

m = 1

Step-by-step explanation:

Given ->  3m + 5 = 8

Subtraction -> 3m = 3

Division -> m = 1

Answer:

m= 1

Step-by-step explanation:

3m +5 = 8     Substract 5 to both sides

 3m = 3         Divide 3 in both sides

  m = 1

Final answer:

The value of any number raised to the power of 1 is the number itself, as it implies a single multiplication of the number by 1.

Explanation:

The value of a number raised to the power of 1 is always the number itself. This is because an exponent represents how many times to multiply the number by itself. When the exponent is 1, you are simply multiplying the number by 1, which does not change its value.

For example:

Answer:

The scale factor used was 1/2

hope this helped

Step-by-step explanation:

Answer:

D) -2

Step-by-step explanation:

Answer:

D- -2

Hope this helps :)

sorry, put the wrong answer and cant delete

Answer:

4/15 distance

Step-by-step explanation:

We can use ratio's to solve this, putting distance over time

1/5 distance          x distance

----------------   = ----------------------

3/4 hour                 1 hour

Using cross products

1/5 * 1 = 3/4 x

1/5 = 3/4 x

Multiply by 4/3 to isolate x

1/5 * 4/3 = 4/3 * 3/4x

4/15 = x

The train can travel 4/15 of the distance in 1 hour

Answer:

The correct answer is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Step-by-step explanation:

We are given the following quadratic equation:

[tex]-3x^2-4x-4 = 0[/tex]

Since, it cannot be factorized so we will use the quadratic formula:

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

Substituting in the values of a, b and c in the above formula to get:

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

x = [tex]-\frac{2}{3} +i \frac{2\sqrt{2} }{3}[/tex], x = [tex]-\frac{2}{3} -i \frac{2\sqrt{2} }{3}[/tex]

Therefore, the correct answer option is B) x equals quantity of 2 plus or minus 2i square root of 2 all over 3.

Answer:

The length of side KM is [tex]\sqrt{109}[/tex] units.

Step-by-step explanation:

Given information:  KLMN is a trapezoid, ∠N= ∠KML, FD=8, LM:KN=3:5, F∈ KL, D∈ MN , ME ⊥ KN KF=FL, MD=DN, [tex]ME=3\sqrt{5}[/tex].

From the given information it is noticed that the point F and D are midpoints of KL and MN respectively. The height of the trapezoid is [tex]3\sqrt{5}[/tex].

Midsegment is a line segment which connects the midpoints of not parallel sides. The length of midsegment of average of parallel lines.

Since LM:KN=3:5, therefore LM is 3x and KN is 5x.

[tex]\frac{3x+5x}{2}=8[/tex]

[tex]\frac{8x}{2}=8[/tex]

[tex]x=2[/tex]

Therefore the length of LM is 6 and length of KN is 10.

Draw perpendicular on KN form L and M.

[tex]KN=KA+AE+EN[/tex]

[tex]10=6+2(EN)[/tex]                (KA=EN, isosceles trapezoid)

[tex]EN=2[/tex]

[tex]KE=KN-EN=10-2=8[/tex]

Therefore the length of KE is 8.

Use pythagoras theorem is triangle EKM.

[tex]Hypotenuse^2=base^2+perpendicular^2[/tex]

[tex](KM)^2=(KE)^2+(ME)^2[/tex]

[tex](KM)^2=(8)^2+(3\sqrt{5})^2[/tex]

[tex]KM^2=64+9(5)[/tex]

[tex]KM=\sqrt{109}[/tex]

Therefore the length of side KM is [tex]\sqrt{109}[/tex] units.

The answer is [tex]\sqrt{70}[/tex]

Answer:

60

Step-by-step explanation:

The required result is 60 when 480 is divided by 8, with no remainder.

In mathematics, divides left-hand operands into right-hand operands in the division operation.

To divide 21,900 by 25, we can perform long division as follows:

  8 ) 480 ( 60

     - 480

     ________

          0

When we divide the first digit of 480 (which is 4) by the divisor 8, which gives us 60 with a remainder of 0.

Therefore, 480 divided by 8 is 60, with no remainder.

To learn more about the division operation click here :

brainly.com/question/25870256

#SPJ5

The complete question would be as:

What is the result when 480 is divided by 8 long division?

Answer:

450

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.  <3 = <4                                      1 Given

2.  <2 <3 are supplementary      2.  non common   sides in  opposite  rays

3. <2 + <3 = 180                             3.  Definition of supplementary angles

4.  <2 + < 4 = 180                              4  substitution

5.  <1 = <4                                       5  Opposite angles are equal

6 <2 + <1 = 180                                6     Substitution

7.  <1, <2 are supplementary            7.  Definition of supplementary angles

The only word I am not sure of is the last word in 2

Answer:

158

Step-by-step explanation:

Simplify the following:

2×5×3 + 2×5×8 + 2×3×8

5×3 = 15:

2×15 + 2×5×8 + 2×3×8

5×8 = 40:

2×15 + 2×40 + 2×3×8

3×8 = 24:

2×15 + 2×40 + 2×24

2×15 = 30:

30 + 2×40 + 2×24

2×40 = 80:

30 + 80 + 2×24

2×24 = 48:

30 + 80 + 48

| 8 | 0

| 4 | 8

+ | 3 | 0

1 | 5 | 8:

Answer:  158

Kaylee is using the formula for the surface area of a rectangular prism. She calculates it as 2(5×3) + 2(5×8) + 2(3×8), which adds up to 158 square inches, representing the total surface area of the prism.

Kaylee is calculating the surface area of a rectangular prism using a mathematical formula. The formula comprises three terms, each representing the area of a pair of opposite faces. Let's break down the calculation:

When Kaylee calculates these areas and adds them together, she gets:

2(5×3) + 2(5×8) + 2(3×8) = 2(15) + 2(40) + 2(24) = 30 + 80 + 48 = 158 square inches.

Thus, the total surface area of the rectangular prism is 158 square inches.

8/6= 1 1/3

48/28= 1 4/7

7/9 is in simplest form

Answer: Kate expression: 2(50-t)

2 : represents twice,

50 : represents Initial number of tickets Kate has,

t : The lost tickets

50-t : represents Number of ticket Kate has After loosing t tickets

Jack expression: 100 - 2t

100 : Twice of initial ticket Kate has,

t :  The lost tickets

2t : represents twice of the lost tickets,

100-2t : represents Final number of ticket Kate has.

Step-by-step explanation:

Since, According to the question,

Initially Kate has 50 tickets.

She lost tickets = t

And, after losing t ticket she has tickets = 50 - t

But, His father doubled the amount, Thus she has final tickets = 2(50-t)= 2×50 -2× t = 100 - 2t  

Final answer:

Kate's expression, 2(50−t), represents the number of tickets she has now by doubling the tickets she had left after losing some. Jack's expression, 100−2t, represents the number of tickets Kate has now by subtracting twice the number of tickets she lost from the total number of tickets she initially had.

Explanation:

Kate wrote the expression 2(50−t) to find the number of tickets she has now. In this expression, t represents the number of tickets she lost. The expression is simplified as follows: multiply 2 by the quantity (50−t). This means that Kate's dad doubled the tickets she had left after losing some tickets.

Jack's expression, 100−2t, also determines the number of tickets Kate has now. In this expression, t represents the number of tickets she lost. The expression is simplified as follows: subtract 2 times the quantity t from 100. This means that Jack found the number of tickets Kate has by subtracting twice the number of tickets she lost from the total number of tickets she initially had.

Answer:

4, 2, 1, [tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex], .....

Step-by-step explanation:

Fifth term (a₅) =  [tex]\frac{1}{4}[/tex]

Common ratio (r) = [tex]\frac{1}{2}[/tex]

n = 5

The formula to find the [tex]n^{th}[/tex] term of a geometric sequence is

a₅ = a₁r⁽ⁿ⁻¹⁾

=> [tex]\frac{1}{4}[/tex] = a₁*[tex](\frac{1}{2})^{(5-1)}[/tex]

=> [tex]\frac{1}{4}[/tex] = a₁*[tex](\frac{1}{2})^{(4)}[/tex]

=> [tex]\frac{1}{4}[/tex] = a₁*[tex](\frac{1}{2})*(\frac{1}{2})*(\frac{1}{2})*(\frac{1}{2})[/tex]

=> [tex]\frac{1}{4}[/tex] = a₁* [tex]\frac{1*1*1*1}{2*2*2*2}[/tex]

=> [tex]\frac{1}{4}[/tex] = a₁*[tex](\frac{1}{16})[/tex]

Flip the sides of the equation

a₁*[tex](\frac{1}{16})[/tex] = [tex]\frac{1}{4}[/tex]

Multiply both sides by 16

a₁*[tex](\frac{1}{16})[/tex]*16 = [tex]\frac{1}{4}[/tex]*16

Cancelling out the 16's from the top and bottom of the left side

a₁ = [tex]\frac{16}{4}[/tex]

=> a₁ = 4

So, first term of the geometric sequence is 4.

Common ratio = [tex]\frac{1}{2}[/tex]

Second term = First term * Common ratio

                      = 4* [tex]\frac{1}{2}[/tex]

                      = [tex]\frac{4}{2}[/tex]

                      = 2

Third term = Second Term * Common ratio

                  = 2 * [tex]\frac{1}{2}[/tex]

                  = [tex]\frac{2}{2}[/tex]

                  = 1

Fourth term = Third Term * Common ratio

                    = 1 * [tex]\frac{1}{2}[/tex]

                    = [tex]\frac{1}{2}[/tex]

Fifth term (given) = [tex]\frac{1}{4}[/tex]

So, the geometric sequence would be

4, 2, 1, [tex]\frac{1}{2}[/tex], [tex]\frac{1}{4}[/tex], .....

Answer:

48 min  

Step-by-step explanation:

1 h = 60 min

It takes 60 min to go 65 mi.

Time = 52 × 60/65

Time = 48 min

Answer:

48min

Step-by-step explanation:

I used this question and got it right on my test. :)