Given:
The height of an object, f(x), after x seconds is
[tex]f(x)=-2x^2+32[/tex]
To find:
The time taken be object to hit the ground.
Solution:
We have,
[tex]f(x)=-2x^2+32[/tex]
The object will hit the ground if the height is 0, i.e., f(x)=0.
[tex]0=-2x^2+32[/tex]
[tex]2x^2=32[/tex]
Divide both sides by 2.
[tex]x^2=\dfrac{32}{2}[/tex]
[tex]x^2=16[/tex]
Taking square root on both sides.
[tex]x=\pm 4[/tex]
Time cannot be negative. So, x=4.
Therefore, the object will hit the ground after 4 seconds.
Ms. Ayers wrote a bonus problem on the board. If Jason correctly answers, he will get extra computer time. The problem is to write a statement that correctly relates the numbers 5 and 10. Which should Jason write?
Answer:
Step-by-step explanation:
Five is a factor of 10.
Two times five = 10
Emily used 27 centimeters of tape to wrap 3 presents. How much tape will Emily need in all if she has to wrap 5 presents? Assume the relationship is directly proportional.
? centimeters
Answer: 45 centimeters
Step-by-step explanation:
27 - 3
divide both by 3
9 - 1
multiply by 5
45 - 5
Answer:
45 Centimeters.
Step-by-step explanation:
27 / 3 = 9
9 x 5 = 45
3.8 x 10^2 +1.7 x10^3
Answer:
2080
Step-by-step explanation:
that's the answer i think Good luck :)
type the expression that results from the following series of steps:
start with n add 2.
Answer:
Start with n add 2
n + 2
Mark me as brainliest
-c+1 > 2 now this one
-c + 1 > 2
-c > 2-1 Move 1 to subtract.
-c > 1
c < -1 When the coefficient is negative, moving the negative to another side as changing the sign of Inequality to opposite.
Thus, the answer is c < -1
find the domain and range. state whether each set of ordered pairs is a function or not.
set A: [(0,-8),(1,-1),(-7,-9),(4,3),(-6,6)]
set B: [(1,0),(-9,9),(6,8),(6,7),(-7,5)]
Answer:
Set A is a function
set B is not a function
Which one is it pls help
Answer:
c
Step-by-step explanation:
Answer:
C. yes because BC/ST = AC/RT
Hope This Helps!
Solve the Inequality
3x≤9
Answer:
x ≤ 3
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesStep-by-step explanation:
Step 1: Define inequality
3x ≤ 9
Step 2: Solve for x
Divide 3 on both sides: x ≤ 3Here we see that any solution x less than or equal to 3 would be a solution of the inequality.
“Mr and mrs brown went to two movies. The first one Lasted 3 1/2 hours and the second one lasted 1 1/3 hours. How much longer was the first than the second movie” please help me I need serious help rn
Answer:
8/15=32
Step-by-step explanation:
HELP PLZ THIS I NEED TO KNOW THIS
A new shopping mall records 120 total shoppers on their first day of business. Each day after that, the number of shoppers is 10, percent more than the number of shoppers the day before. What is the total number of shoppers that visited the mall in the first 7 days?
Answer:
1138
Step-by-step explanation:
From the information given:
We can represent it perfectly in an exponential form:
[tex]m = p(q)^x[/tex]
where;
p = initial value = 120
q = base of the exponential form
q = 1 + r
here; r = rate in decimal = 10% = 0.1
Then q can now be = 1 + 0.1 = 1.1
Replacing it into the exponential form, we get:
[tex]m = 120(1.1)^x[/tex]
where;
x = number of days and m = number of shoppers
Thus:
For the first day:
[tex]m = 120(1.1)^x[/tex]
m = 120
For the second day:
[tex]m = 120(1.1)^1[/tex]
m = 132
For the third day:
[tex]m = 120(1.1)^2[/tex]
m = 145.2
For the fourth day
[tex]m = 120(1.1)^3[/tex]
m = 159.72
For the fifth-day
[tex]m = 120(1.1)^4[/tex]
m = 175.692
For the sixth-day
[tex]m = 120(1.1)^5[/tex]
m = 193.2612
For the seventh-day
[tex]m = 120(1.1)^6[/tex]
m = 212.58732
Thus; the total numbers of shoppers for the first 7 days is:
[tex]= 120+ 132 + 145.2 + 159.72 + 175.692+193.2612+212.58732[/tex]
= 1138.46052
≅ 1138
tan 45 * cos 45 + tan 30 * tan square 60
Answer:
Regroup Terms: cos 45 tan 45x + tan^2 tan 30x, 60
Answer:
[tex]\frac{1}{\sqrt{2}}+\frac{3}{\sqrt{3}}[/tex] , by the way, the simplified is [tex]2.439157589[/tex]
Step-by-step explanation:
I included a chart so next time you don't need to worry
tan( 45 degrees) = 1cos( 45 degrees) = [tex]\frac{1}{\sqrt{2}}[/tex] tan( 30 degrees) = [tex]\frac{1}{\sqrt{3}}[/tex] tan squared (60 degrees) is the same as saying square the answer of tan (60 degrees). So tan( 60 degrees) = [tex]\sqrt{3}[/tex] , so squareFelicia, Ingrid, Meiko and Tatiana spent a total of $31.50 at the baseball game. Felicia spent $4.25. Ingrid spent twice as much as Felicia. Meiko spent $1.90 more than Ingrid. How much did Tatiana spend?
Answer:
[tex]Tatiana = \$8.35[/tex]
Step-by-step explanation:
Given
[tex]Total = \$31.50[/tex]
[tex]Felicia = \$4.25[/tex]
[tex]Ingrid = 2 * Felicia[/tex]
[tex]Meiko = \$1.90 + Ingrid[/tex]
Required
Determine amount spent by Ingrid
We have that:
[tex]Ingrid = 2 * Felicia[/tex]
Substitute $4.25 for Felicia
[tex]Ingrid = 2 * \$4.25[/tex]
[tex]Ingrid = \$8.5[/tex]
We also have that:
[tex]Meiko = \$1.90 + Ingrid[/tex]
Substitute $8.5 for Ingrid
[tex]Meiko = \$1.90 + \$8.50[/tex]
[tex]Meiko = \$10.40[/tex]
The total can be represented as thus:
[tex]Felicia + Ingrid + Meiko + Tatiana = Total[/tex]
[tex]\$4.25 + \$8.50 + \$10.40 + Tatiana = \$31.50[/tex]
[tex]\$23.15+ Tatiana = \$31.50[/tex]
Collect Like Terms
[tex]Tatiana = \$31.50 - \$23.15[/tex]
[tex]Tatiana = \$8.35[/tex]
What is the y-intercept of the graph?
Answer:
The y-intercept is -2.
Step-by-step explanation:
Look at the graph and see where the line crosses the y-axis.
Answer:
-2
Step-by-step explanation:
The y-intercept is defined as the point where the line crosses the y-axis. It can be negative or positive. In this picture, the line crosses the y-axis at the point -2.
~theLocoCoco
Learning task 2
A. Solve the systems of equations by a) graphing b) elimination c) substitution
Eq. 1: 2x - 3y = -1; Eq. 2: y = x - 1
B. Solve the problem using any method.
The sum of two numbers is 32 and the difference is 2. Find the numbers
The given equations are
[tex]2x-3y=-1\cdots(i) \\\\y=x-1\cdots(ii)[/tex]
(a) Solution by graphing both the equations:
Graph for both the equations (i) and (ii) are in the figure. The point of intersection of both the graph is the solution of the equations.
From the graph, the point of intersection is (4,3)).
Hence, the required solution is (4,3).
(b) Solution by elimination method:
Equations (ii) can be written as -x+y=-1, now multiply it by 2, we have
[tex]-2x+2y=-2\cdots(iii)[/tex]
Add equations (i) and (iii), we have
2x-3y=-1
-2x+2y=-2
__________
[tex]\Rightarrow -3y+2y=-1-2\\\\ \Rightarrow -y=-3\\\\ \Rightarrow y=3.[/tex]
Putting the value of y=3 in equation (i), we have
[tex]2x-3\times 3=-1 \\\\\Rightarrow 2x=-1+9=8 \\\\\Rightarrow x=8/2=4[/tex]
Hence, the required solution is (4,4).
(c) Solution by substitution method:
Substituting the value of y from equation (ii) to equation (i), we have
[tex]2x-3(x-1)=-1 \\\\\Rightarrow 2x-3x+3=-1 \\\\\Rightarrow -x=-1-4=-4 \\\\\Rightarrow x=4[/tex]
Putting the value of x=4 in equation (i), we have
[tex]y=4-1=3[/tex].
Hence, the required solution is (4,3).
help i give you brinly
The amount of paper that the copy shop used this month was a 25% increase of the amount of paper they used last month. This month, there were 78 copies made. How many copies were made last month?
Answer:
98 copies
Step-by-step explanation:
25% of 78 is 19.5
19.5 + 78 = 97.5
Because there can't be half of a copy we round up based on the decimal. Therefore the answer would 98 copies.
Find the measure of each angle indicated. HELPPP PLEASE
Answer:
2
Step-by-step explanation:
Answer:
they equal 360 so add all and minus that by 360 like for example its 160 total minus 360-160
Step-by-step explanation:
Point-slope form
Complete the point-slope equation of the line through (-4, 8) and (4,4).
Use exact numbers.
WHOEVER ANSWERS RIGHT GETS BRAINIST
There are actually two correct answers, one of them is y-4=-0.5(x-4)
First of all, the slope-intercept that can be derived from the points (-4,8) and (4,4) is y=[tex]-\frac{x}{2} +6[/tex], with -0.5 being the slope. To bring this to point-slope form, you must signify the slope and the coordinate intersection. Since there are two coordinates, there are actually two point-slope equations.
does anybody know this??
Answer:
A.
Step-by-step explanation:
im in geometry my teacher lidirally teaching this rn brainliest pls pls pls
The lengths of the three sides of a triangle are x +3,2x, and 5x - 35. What is the value of x if the perimeter of the triangle is 112?
A.17
B.18
C.12
D.14
E.26
-4-3(1-x)<7-2(x+2)
Its just this :)
Answer: the answer is x=12 and x=4
Mayelle earns $18,000 a year. After a raise, she earns $19,500. What is the percent of increase in pay? Round to the nearest tenth of a percent.
8.3%
9.2%
7.7%
9.5%
Answer: 8.3% when rounded
Answer:
Mayelle has a 8.3% increase in pay
where do I graph it at ??
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
I have attached a picture of the graph.
Step-by-step explanation:
So for 3 miles, they are charged $6 and for 5 miles, $8. This means that for 5-3 = 2 miles, they are charged $8-$6 = $2.
2 miles = $2
1 mile = $1
We will apply this charging rate for 3 miles since we know there is a flat fee added into it too.
3 miles = $3
Flat fee = $6 - $3
= $3
That means that at 0 miles, there is a flat fee of $3, and so the graph would start at 3 on the x-axis even when the y-axis (representing the miles) is at 0 (0 miles).
You also know that for each mile, there is an increase of $1, so the graph should increase upwards at 1 dollar per 1 mile. I have attached the graph for you.
Answer:
Graph at (3, 6) and (5,8) and YES they are proportional
(don't forget to correctly graph the x and y)
Ughhh please helpppp!!!!
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
4 : 6 = 2/3
8/3 : 4 = 2/3
16/9 : 8/3 = 2/3
find the answer
x=Cm
Answer:
x = 16cm
Step-by-step explanation:
[tex]C^{2}[/tex] - [tex]A^{2}[/tex] = [tex]B^{2}[/tex]
[tex]20^{2}[/tex] - [tex]12^{2}[/tex] = 256
[tex]\sqrt{256}[/tex] = 16
This problem has two parts, Part A and Part B
Select one answer for Part A and one answer for Part B.
A real estate agent earns a salary of $20,000 a year and 6% commission on any sales. An agent sold 4 homes worth a total of $980,000 last year. What was the agent's total pay for the year, including salary and commission from the sales?
Answer:78,800
Step-by-step explanation:
X^5/6 * x^1/3 can someone please solve this ?
help me with this math prob
Answer:
awsome
Step-by-step explanation:
Answer:
Well..
Step-by-step explanation: Za Warudo