MATHEMATICS MIDDLE SCHOOL

What is the solution to 5x−2=13 ? Plot the solution on the number line.

Answers

Answer 1
Answer:

Answer:

x= 3

Step-by-step explanation:

5x-2=13 - Add 2 to both sides which cancels out the -2 and turns 13 into 15

5x=15 - Divide 5 on both sides which cancels the 5 and leaves x=3

x=3 - Is the final answer or the solution to the problem

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What is 2.48 rounded to the nearest tenth

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2.48 rounded to the nearest 10th would be 2.5
2.5
because the 8 is higher than 5 so that means that the 4 will go up one number so it will go up to 5

Hettie is stacking paper cups.Each stack of 15 cups is 6 in high.What is the total height of 10 stacks of cups?

Answers

Find the unit rate by dividing 15 by 6, then multiplying that by 10... Just like a proportion... it would be 25
5 paper cups long because i study it.

Y = 4x+1 y=x^2 + 2x - 2 A.6,2 B. 2,6 C. -6,2 D. -6,-2

Answers

Answer:

The solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

Step-by-step explanation:

Given that

y = 4x + 1  (i)

y = x^2 + 2x -2 (ii)

Now, by susbstituting the value of 'y' from equation i to equation ii, we get

4x+1=x^2 + 2x -2

0=x^2 + 2x -2-4x-1

0=x^2 + (2x -4x) +(-2-1)

0=x^2 + (-2x) +(-3)

0=x^2 -2x -3

x^2 -2x -3 = 0 (iii)

Now by factorization, equation iii can be written as

x^2 -3x +x -3 = 0

x(x -3) + 1(x -3) = 0

(x -3)(x +1) = 0

x = 3 and x = -1

By putting the values of x in equation i, we get

y = 4(3) + 1

y = 12 +1

y = 13

and

y = 4(-1) + 1

y = -4 +1

y = -3

Therefore, the solution is (3,13) and (-1,-3). So none of the mentioned options is correct.

The population of mice on an island is given byP= 40 1.2
where P is the population t years after 1st January 2010.
The graph below shows the growth of the population.
a) Write down the coordinates of
the point a.
b)
How many mice were on the
island on January 1st 2010?
C)
To the nearest whole number,
how many mice were on the
island on 1st January 2014?

Answers

a)  The coordinates of point a are (t, 0).

b)  There were 40 mice on the island on January 1st, 2010.

c) Rounding to the nearest wholenumber, there were approximately 92 mice on the island on January 1st, 2014.

a) To find the coordinates of point a on the graph, we need to look at the intersection of the curve with the x-axis (time axis). Since point a is on the x-axis, its y-coordinate (population) is 0. Note that the x-coordinate (t) represents the time in years.

b) To find the population of mice on January 1st, 2010 (t = 0 years), we can substitute t = 0 into the population equation:

P = 40 * 1.2^t\nP = 40 * 1.2^0\nP = 40 * 1\nP = 40

So, there were 40 mice on the island on January1st, 2010.

c) To find the population on January 1st, 2014 (t = 4 years), we can again substitute t = 4 into the population equation:

P = 40 * 1.2^t\nP = 40 * 1.2^4\nP = 40 * 1.2 * 1.2 * 1.2 * 1.2\nP \approx 92.16

Rounding to the nearest whole number, there were approximately 92 mice on the island on January 1st, 2014.

To know more about coordinates:

brainly.com/question/32836021

#SPJ2

Answer:

Step-by-step explanation:

A=(0,40)

B=40

C=83

Hope it help mate✌

Graph the quadratic function f(x)=-2x^2+6x-2

Answers

Answer:

Step-by-step explanation:

jamal earned $5.00 walking his neighbor's dog for one week. he was given a 1/5 of the $5.00 at the beginning of the week and 1/5 in the middle of the week. how much of the $5.00 was jamal given at the end of the week? express your answer as a fraction and as a dollar amount.

Answers

(1)/(5)+(1)/(5)=(2)/(5)\n\n1-(2)/(5)=(3)/(5)-\ fraction\ of\ money\ at\ the\ end\ of\ rhe\ week\n\n(3)/(5)\cdot5=3-\ amount\ of\ money\ at\ the\ end\ of\ the\ week
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