Answer:
10x2 + 30x - 40
Step-by-step explanation:
If the two roots are -2 and 4 then the factors shall be;
5(x+2)(x-4)
5 is the leading coefficient.
FOIL:
f(x) = 5(x2+4x+2x-8) =
f(x) = 5(x2+6x-8) =
f(x) = 10x2 + 30x - 40
Answer:5x^2-10x-40=0
Step-by-step explanation:
x=-2 or x=4
x+2=0 or x-4=0
(x+2)(x-4)=0
x^2-4x+2x-8=0
x^2-2x-8=0
Multiply the equation by 5
5x^2-10x-40=0
PLEASE ANSWER
Which equation represents the following graph?
A. y = 2x + 3
B. y = 3x + 2
C. y = -2x + 3
D. y = -3x + 2
Answer:
A: y = 2x + 3
Step-by-step explanation:
y intercept: 3
Slope is positive
Only option A satisfies both of the above
29,22,22,17,33,32,27 (FIND THE MODE)
Answer:
22
Step-by-step explanation:
22 shows up twice and the rest of the numbers show up once.
Answer:22
Step-by-step explanation:
It appears most often.
What is the decimal equivalent of an 11% increase
Answer:
0.11
Step-by-step explanation:
You would convert the percentage to a fraction. Since the % symbol means 'out of 100', you would put 11 over 100: 11/100.
Then you would convert the fraction to a decimal: 0.11.
An easier way could also be to take the percentage and move it two decimal places to the right.
Ex: 43% moved two decimal places to the right would be 0.43.
I hope this helps!
Answer:
0.11
Step-by-step explanation:
29.91 – 1.35p=-5.7(-6p - 4)
Answer:
p = 0.2
Step-by-step explanation:
Step 1: Distribute
29.91 - 1.35p = -5.7(-6p - 4)
29.91 - 1.35p = 34.2p + 22.8
Step 2: Add 1.35p to both sides
29.91 - 1.35p + 1.35p = 34.2p + 22.8 + 1.35p
29.91 = 35.55p + 22.8
Step 3: Subtract 22.8 from both sides
29.91 - 22.8 = 35.55p + 22.8 - 22.8
7.11 = 35.55p
Step 4: Divide both sides by 35.55
7.11 / 35.55 = 35.55p / 35.55
0.2 = p
Answer: p = 0.2
Which of the following statements is true? The value π is a rational number. The number 0 is a natural number. The number is an integer. The number -5 is a real number.
Answer:
the number -5 is a real number
Step-by-step explanation:
real numbers are basically all numbers.... if you havent met complex numbers yet..
hopefuly this helped
:)
Answer:
the number -5 is a real number
Step-by-step explanation:
all the others are wrong.
Fifteen less than twice a number x is y
Step-by-step explanation:
The Mathematical transformation of the given statement would be:
[tex]2x - 15 = y[/tex]
What is k over 3.5+7.4=8
Answer:
k=2.1
Step-by-step explanation:
k/3.5 + 7.4 = 8
Subtract 7.4 from each side
k/3.5 + 7.4 -7.4 = 8-7.4
k/3.5 = .6
Multiply each side by 3.5
k/3.5 *3.5 = .6 *3.5
k = 2.1
a rectangle has sides that measure 7 by 13 feet. If the sides are halved what is the new area?
Answer:
45.4
Step-by-step explanation:
Answer:
22.75 square feet
Step-by-step explanation:
If the length and width are halved, then:
7 ÷ 2 = 3.5
13 ÷ 2 = 6.5
A = L · W
3.5 · 6.5 = 22.75 square feet
~Hope this helps!~
What is the length and width of the rectangle if the area is given by trinomial r squared - 2r - 15. Use factoring
Answer:
(r+3)(r-5)
Step-by-step explanation:
r^2-2r-15
(r+3)(r-5)
+3-5=-2
+3*-5=-15
Answer:
The length is r + 3 and the width r - 5..
Step-by-step explanation:
r^2 - 2r - 15
= (r - 5)(r + 3)
The length is r + 3 and the width r - 5
how do you find side a to a right triangle using pythagorean theorem?
Answer:
a^2 = c^2 - b^2
Step-by-step explanation:
With the pythagorean therom you have a^2 + b^2 = c^2
Therefore a^2 = c^2 - b^2 you get this by subtracting b^2 from both sides
Once you have all the numbers you can just get the square root of them and youll have what a is
Consider the two functions described below. Function 1 describes the cost, y, to park in a parking lot for x hours. There is a flat fee of $7.00 and $1.00 charge per hour. Function 2 is represented in the graph below. It shows the cost, y, to park in a parking garage, for x hours. Which statement correctly explains whether the parking lot or parking garage charges a higher rate per hour to park?
A. The parking lot charges a higher rate per hour because when you compare the rates, 7 4.
B. The parking garage charges a higher rate per hour because when you compare the rates, 2 1.
C. The parking lot charges a higher rate per hour because when you compare the rates, 7 2.
D. The parking garage charges a higher rate per hour because when you compare the rates, 4 1.
Statement B explains correctly that the parking garage charges a higher rate per hour than the parking lot. Statements B and D are the same.
Step-by-step explanation:
Step 1:
For the parking lot, there is a flat fee of $7.00 and then a charge of $1.00 every hour.
So if a vehicle was parked for 1 hour charges are 7 + 1 (1) = $8,
If parked for two hours charges are 7 + 1 (2) = $9.
Step 2;
To understand the pricing of the parking garage, we must plot the points of the graph.
The points on the graph are (0, 4), (1, 6), (2, 8), (3, 10), (4, 12), (5, 14)...
So for the parking garage, there is a flat fee of $4 and then a charge of $2.00 every hour.
So if a vehicle was parked for 1 hour charges are 4 + 2 (1) = $6,
If parked for two hours charges are 4 + 2 (2) = $8.
Step 3:
Comparing both the parking lot and the parking garage, we get that the flat fee for the parking lot is higher while the parking charges for an hour are higher for the parking garage which is statement B.
Statement B and D are the same.
Answer:
B
Step-by-step explanation:
a sprinter increases the speed from 0 meters per second to 9 meters per second in 2 seconds. what is the acceleration
Answer:
The acceleration is
[tex]4.5 {ms}^{ - 2} [/tex]
Step-by-step explanation:
Use the equation of motion,
[tex]v = u + at[/tex]
where u=0m/s is the initial speed, v=9m/s is the final speed and t=2 seconds is the time.
We substitute the values into the equation and solve for the acceleration, a
[tex]9 = 0 + a(2)[/tex]
This means that;
[tex]9 = 2a[/tex]
Divide both sides by 2 to get:
[tex]a = \frac{9}{2} [/tex]
[tex]a = 4.5 {ms}^{ - 2} [/tex]
icated (Q#1-4).
2. Solve by substitution; x+3y + 4)
3x - 5y = 8
3 (3x+4)
aytla
Answer:
See explanation
Step-by-step explanation:
Assuming your system is:
[tex]x + 3y = 4[/tex]
[tex]3x - 5y = 8[/tex]
Then make x the subject in the first equation to get:
[tex]x = 4 - 3y[/tex]
Put this equation into the second equation to get:
[tex]3(4 - 3y) - 5y = 8[/tex]
[tex]12 - 9y - 5y = 8[/tex]
[tex] - 9y - 5y = 8 - 12[/tex]
[tex] -14y = - 4[/tex]
[tex]y = \frac{ - 4}{ - 14} = \frac{2}{7} [/tex]
This means that:
[tex]x = 4 - 3 \times \frac{2}{7} [/tex]
[tex]x = 4 - \frac{6}{7} = \frac{22}{7} [/tex]
Find the quotient 130 ÷ –13.
A. –12
B. –9
C. –10
D. –5
Answer:
C)-10
Step-by-step explanation:
negative divided by negative is positive.
-130 / -13 =10
Answer:
Option C, -10
Step-by-step explanation:
130 / -13
13 goes into 130 ten times
-10
Answer: Option C, -10
If an employer lacked 6 days of working twice as many days as did his employee and the sum of the days they worked is 42, how many days did each work
Answer:
Step-by-step explanation:
2x-6=48
2x=42+6
2x=48days
x=24days
The employee worked 16 days and the employer worked 26 days to reach the total of 42 days both worked.
Explanation:
This problem can be solved using algebraic expressions. Let's denote the number of days the employee worked as 'e'. According to the problem, the employer worked (e+6) days, since he lacked 6 days of working twice as many days as his employee (2e-6). Then, combining these gives the equation (2e-6) + e = 42 (the total number of days they both worked). We can simplify this equation by adding like terms and getting 3e - 6 = 42. Solving for 'e' will give us the number of days the employee worked. First, add 6 to both sides of the equation making it 3e = 48. Then, divide both sides by 3 to solve for 'e'. Thus, e = 16. This means the employee worked 16 days. The employer, having worked (2e-6) days, worked (2*16-6) = 26 days.
Learn more about Algebra here:
https://brainly.com/question/24875240
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Find the values of the variables and the measures of the angles
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
Step 1:
The sum of all the angles in any triangle is equal to 180°.
We have two of the three angles in terms of x while the third angle is not given directly. Since it is a right-angled triangle, one of the angles equals 90°.
So the angles of the triangle are [tex]3x,[/tex] [tex]4x-1,[/tex] and [tex]90.[/tex]
Step 2:
Now, we substitute all the angles to a sum of 180 to determine the value of x.
[tex]3x + 4x - 1 + 90 = 180.[/tex]
[tex]7x = 91, x = \frac{91}{7} = 13.[/tex]
So x = 13°. The angles are
[tex]3x = 3 (13) = 39, 4x-1 = 4(13) - 1 = 51.[/tex]
The angles of the triangle are 39°, 51°, and 90°.
Step-by-step explanation:
3x + 4x - 1 = 90⁰
7x = 91
x = 13
Angles are = 39 , 51⁰
11/20+ c=3/4 what is the answer
Answer:
Step-by-step explanation:
Given that,
11/20 + c = 3/4
Subtract 11/20 from both sides of the equation to eliminate 11/20
11/20-11/20+c=3/4-11/20
c= (15-11)/20
c=4/20
c=1/5
Solve the equations. Show the solution sets on a number line. Check your answers. c 9k+3 =−4
Answer:
k = -7/9
Step-by-step explanation:
9k + 3 = -4
9k = -7
k = -7/9
On the number line just make a closed circle at -7/9. No line would be drawn, just the dot
-7/9 would be between 0 and -1, closer to -1
Answer:
k = -7/9
Step-by-step explanation:
If the equation is, 9k + 3 = -4, then;
9k =-4-3,
9k =-7,
k=-7/9
and on a number line just show a point with value -7/9, there is no inequality here
For the following right- triangle find the side length x 8 12
Answer:
4[tex]\sqrt{13}[/tex] or 4[tex]\sqrt{5}[/tex]
Step-by-step explanation:
Pythagorean theorem:
your solution will differ based on which side is the hypotenuse
x = [tex]\sqrt{12^{2} -8^{2} }[/tex] =4[tex]\sqrt{5}[/tex]
or x = [tex]\sqrt{8^{2}+12^{2} }[/tex] = 4[tex]\sqrt{13}[/tex]
What is the slope of the line passing through the points (-2, -8) and (-3, -9) ?
Answer: answer is 1
Step-by-step explanation:
Slope(m) of the line = change in y/change in x
y2 - y1/x2 - x1
Locate the coordinates points: (-2, -8) and (-3, -9) ?
X1= -2, X2=-3
Y1= -8, y2= -9
Slot in the values into the equation:
m = -9 - (-8)/-3 - (-2)
-9 + 8/ -3 +2
= -1/ -1
=1
I hope this helps.
Pamela knit a total of 28 centimeters of scarf over 2 nights. After 3 nights of knitting, how many centimeters of scarf will Pamela have knit in total? Assume the relationship is directly proportional.
Answer:
42 centimetres
Step-by-step explanation:
First, u have how many centimetres knitted over 1 night:
28/2=14So 1 night=14 cm28cm+14cm=42cm=3 nightsWhat is the 12th term of the geometric sequence
-4, -12, -36
Answer:
-708,588
Step-by-step explanation:
If you continue the sequence by multiplying each term by 3, you will eventually get -708,588 as the 12th term.
Evaluate 1/-5ab if a=3/7 and b=5/8 write in simplest form
Answer:
-56/75
Step-by-step explanation:
1/-5ab = 1 ÷ -5ab
we substitute the value of a = 3/7 and b = 5/8 into 1 / -5ab
we have
1/ -5 × 3/7 × 5/8 = 1/ -75/56
this can be written as
1 × 56/-75 = -56/75
is 8 4\5 greater than 8.08
Yes.
8 4/5 = 8 8/10 = 8.8
8.8 is greater than 8.08
Answer:
yes
Step-by-step explanation:
4/5 as a fraction is 8/10 and 8/10 as a decimal is 0.8 and 0.8 is greater than 0.08
4. Find the correct table for the given rule:
y=x+2
Answer:
Table B is the correct answer.
Step-by-step explanation:
Which formula is best used to prove that a figure has congruent sides?
a) Slope formula
b)Area formula
c) Midpoint formula
d) Distance formula
Answer:
D
Step-by-step explanation:
Congruent sides mean that they have "EQUAL" lengths.
So, to prove to sides are congruent means that their lengths are equal.
Slope gives the slope of a line. So this can't be it.
Area gives the area of figure. Nothing to do with congruency of 2 lines.
Midpoint formula gives the coordinates of the midpoint. Nothing here.
Distance formula gives the length of sides. So, this is the one we can use to prove that a figure has congruent sides. We can place the figure in coordinate system and find the length of 2 respective sides using "distance formula"
Correct answer is D
If f(3) = -4, f'(3) = 4, g(3) = 2, and g'(3) = 0, find (f + g)'(3).
Final answer:
The derivative of the sum of functions f and g at x = 3 is calculated by adding the derivatives of f and g at 3. Given that f'(3) = 4 and g'(3) = 0, the derivative (f + g)'(3) equals 4.
Explanation:
The student is asking about the derivative of a sum of two functions at a specific point, which is a concept covered in calculus. From the given information, we know that:
f(3) = -4, f'(3) = 4g(3) = 2, g'(3) = 0To find (f + g)'(3), we apply the rule for the derivative of a sum of functions, which states that:
(f + g)'(x) = f'(x) + g'(x)
Therefore, (f + g)'(3) is:
(f + g)'(3) = f'(3) + g'(3)
(f + g)'(3) = 4 + 0
(f + g)'(3) = 4.
Thus, the derivative of the sum of functions f and g at x = 3 is 4.
convert 34 base five to 34 base ten
34 base five to 34 base ten is 19.
Step-by-step explanation:
Basically , In order to convert 34 from base 5 to base 10 , We skip consecutive 5 numbers after counting 5 numbers as shown below in table in base-5 table and , just increment 1 in base-10 table
Base- 5 Base-10
1 1
2 2
3 3
4 4
10 5
12 6
13 7
14 8
20 9
....... ....
34 19
34 base five to 34 base ten is 19.
Write the multiples of 5 (1,5,25,125,....) based on the no.of digits given. Then multiply and add to convert it into base 10
5 1
------------
3 4
------------
5 (3)+ 1(4) = 15+4 = 19
The local gasoline distributor just built a new storage tank. For safety reasons they need to enclose the tank within a circular fence. The radius of the tank is 6 feet and the walkway between the tank and the fence is 4 feet. How much fencing will they need to order to fence off the tank? Round to the nearest tenth>
Answer:
62.8 feet
Step-by-step explanation:
Radius of the fencing is:
6+4 = 10 feet
Circumference = 2×pi×r
= 2×pi×10
= 20pi
= 62.83185307 feet
On the number line, a bug A is moving in the positive direction from the point 0, and a bug Bis moving in the negative direction from the point 0. The speeds of both bugs are constant. Both leave 0 at the same time, and three seconds later A has reached 18 and B has reached –15.
If x is the point reached by A after t seconds, and y is the point reached by Bafter t seconds, express x and y in terms of t.
Answer:
[tex]x=st[/tex]
[tex]y=-5t[/tex]
Step-by-step explanation:
we know that
The speed is equal to divide the distance by the time
so
The distance is equal to multiply the speed by the time
Let
s ----> the speed in units per second
d ---> the distance in units
t ---> is the time in seconds
BUG A
we have
[tex]d=18\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{18}{3}=6\ units/sec[/tex]
If x is the point reached by A after t seconds
then
Multiply the speed by the time
[tex]x=st[/tex]
[tex]x=6t[/tex]
BUG B
we have
[tex]d=-15\ units[/tex]
[tex]t=3\ sec[/tex]
The speed is equal to
[tex]s=\frac{d}{t}[/tex]
substitute
[tex]s=\frac{15}{3}=5\ units/sec[/tex]
If y is the point reached by B after t seconds
then
Multiply the speed by the time
[tex]y=st[/tex]
[tex]y=-5t[/tex] ----> is negative because B is moving in the negative direction
Answer:
x = 6t
y = 5t
Step-by-step explanation:
We know the distance formula:
D = RT
Where
D is distance
R is speed
T is time
Bug A went 18 units after 3 seconds, so the speed is:
18 = R(3)
R = 18/3
R = 6 unit/sec
Bug B went 15 units in 3 seconds, so the speed is:
15 = R(3)
R = 15/3
R = 5 units/sec
x is reached by A after 3 seconds, so
x = 6t
y is reached by B after 3 seconds, so
y = 5t