Answer:
(6x-5)(x-3)
Step-by-step explanation:
What is the slope of the line that contains these points?
x 8 11 14 17
y 36 12 -12 -36
slope:
Answer:
-8
Step-by-step explanation:
Apply slope/gradient formula: (12 - 36)/(11 - 8) = -24/3 = -8
This is a question on coordinate geometry. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), I have already posted the slope formula which you may want to save it for future reference and I'll also post some of my own notes on certain topics and also some tips that may be useful to you :)
Two sides of a triangle are 12 meters and 16 meters. What is the largest the third side can be?
A) 22 meters
B) 24 meters
C) 26 meters
D) 28 meters
Answer:
The largest third side would be 26 meters.
Option B is correct.
Step-by-step explanation:
We are given two sides of triangle 12 meters and 16 meters.
We need to find What is the largest the third side can be?
We know that the length of third side should be less than the sum of two sides of triangle
third side < length of first side + length of second side
third side < 12+16
third side < 28
So, the length of third side should be less than 28
We need to find the largest the length of third side can be: from options 22, 24 and 26. We would not consider 28 because length should be less than 28.
So, the largest third side would be 26 meters.
Option B is correct.
Find the equation of the quadratic function with vertex (-2,18) passing through (-5,0)?
Answer:
[tex]y-18=-2(x+2)^2[/tex]
Step-by-step explanation:
Equation of the Quadratic Function
The vertex form of the quadratic function has the following equation:
[tex]y-k=a(x-h)^2[/tex]
Where (h, k) is the vertex of the parabola that results when plotting the function, and a is a coefficient different from zero.
It's been given the vertex of the parabola as (-2,18):
[tex]y-18=a(x+2)^2[/tex]
Now substitute the point (-5,0) and find the value of a:
[tex]0-18=a(-5+2)^2[/tex]
Operating:
[tex]-18=a(-3)^2[/tex]
[tex]-18=9a[/tex]
Solving for a:
[tex]a = -18 / 9[/tex]
a = -2
Thus, the equation of the quadratic function is:
[tex]\mathbf{y-18=-2(x+2)^2}[/tex]
Tom has $5.05 in quarters and dimes. How many coins are quarters if the total
number of coins is 28? Try creating a system of equations and solving this by either
substitution or elimination.
quarters
Help due by 8 am tm
Answer: The answer would be 7.03
Step-by-step explanation: cause you gotta get the 28 in there i hope im right
Answer:
15 quarters
Step-by-step explanation:
Assuming q = quarters and d = dimes...
First, set up the equations. q + d = 28 since we have 28 coins, and the latter is because a quarter is worth $0.25 and a dime is worth $0.1 - totaling $5.05.
q + d = 28
.25q + .10d = 5.05
Try to get one of the variables equal to the equation above. In this case, I tried to get the "q" variables equal to each other.
q + d = 28
4(.25q + .10d) = 4(5.05)
After this, you "subtract" the two equations from each other. Remember that d = 1d, and 1 - .4 = .6
q + d = 28
q + .4d = 20.20
Divide both sides by .6 to get d by itself.
.6d = 7.8
There are 13 dimes.
d = 13
Subtract 13 from the total coins (28) to get the amount of quarters.
28 - 13 = 15
13 dimes, 15 quarters. Hope this helped!
If a person who weighs 70 kilograms has a brain that weighs 1.4 kilograms, what percent of the persons body weight is brain
Answer:
the answer would be around 1.5 to two percent
Step-by-step explanation:
Malike rented a paddle boat at the park for a fixed charge of $2.50 plus $1.50 per hour. She want to stay out on the water as long as possible. How many hour can be use the boat without spending more than $7.00
Answer:
Malike can use the boat for 3 hours.
Step-by-step explanation:
$2.50 for renting the boat plus $1.50 per hour. 3 hours x $1.50 = $4.50 + the $2.50 = $7 flat
Malike can use the boat for 3 hours without spending more than $7.00
What is inequality?A statement of an order relationship-greater than, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.
Now it is given that,
Fixed charge of boat = $2.50
Charge per hour = $1.50
Now let t be the total hours use by Malike.
Total charge in t hour = 1.50t
Total spending on boat = 2.50 + 1.50t
Since. She wants to spend not more than $7.00
⇒ 2.50 + 1.50t ≤ 7
Subtracting 2.5 both the side we get,
1.50t ≤ 7 - 2.5
⇒ 1.50t ≤ 4.5
Dividing both the side by 1.5 we get,
t ≤ 3
this is the total hours she can use the boat without spending more than $7.00
Thus, Malike can use the boat for 3 hours without spending more than $7.00
To learn more about inequality :
https://brainly.com/question/13363104
#SPJ2
In a class of 38 students, 15 play hockey and twice as many play basketball. Each student in the class plays either hockey or basketball. How many students play both hockey and basketball?
Answer:
7 students
Step-by-step explanation:
Venn Diagram:
15hockey and 30 basket ball.
45 in total:
45-38=7
so 7 students.
Check:
15:7:30
subtract 7 in middle
8:7:23
8+7+23=38
Correct !!!
Hope this helps plz hit the crown :D
This wasn’t helpfull at all.
Answer:
Yeah
Step-by-step explanation:
Answer:
w h a t
Step-by-step explanation:
Alicia purchased a plant that is 2 inches tall.
She plans to give it to her mother when it is
more than 32 inches tall. If the plant is growing
at a rate of 1.5 inches each week, after
how many full weeks can she give her
mother the plant?
Answer:
20
Step-by-step explanation:
What is the rate of change of y= 34x - 2
-30 < x/-4 must be simplified
Answer:
120 > x
Step-by-step explanation:
multiply -4 on both sides, -30 * -4 = 120
since you multiplied by a negative you change the sign
<3
Answer:
X<120
Step-by-step explanation:
y + 4 = 14(x-12), determine the slope and the y-intercept.
Answer:
Step-by-step explanation:
y + 4 = 14(x - 12)
y + 4 = 14x - 168
y = 14x - 168 - 4
y = 14x - 172
Write the equation of line
that has slope of 4 and
goes through the point 0-3
Answer:
y=4x-3
Step-by-step explanation:
7a(3b - 2c + 4)
Help?
Answer:
21ab-14ac+28aStep-by-step explanation:
[tex]7a(3b - 2c + 4)\\\\\mathrm{Distribute\:parentheses}\\\\=7a\times \:3b+7a\left(-2c\right)+7a\times\:4\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=7\times\:3ab-7\times\:2ac+7\times\:4a\\\\Simplify\\\\21ab-14ac+28a[/tex]
simplify (x^2+3)^2-(x^2-1)^2
Answer:
Simplify the expression.
8x² + 8
Answer:
8(x^2 +1)
Step-by-step explanation:
(x^2 + 3)^2 - (x^2 - 1)^2
(x^2 + 3 - (x^2-1)) • (x^2 + 3 + (x^2 - 1))
(x^2 + 3 - x^2 + 1) • (x^2 + 3 + (x^2 - 1)
(3 + 1) • (x^2 + 3 + x^2 - 1)
4(2x^2 + 1)
4 • 2(x^2 + 1)
8(x^2 +1)
The sum of j and 47 is 55
Hello sam hhehehe .dk ;
Answer:
hello
Step-by-step explanation:
Suppose there are two lakes located on a stream. Clean water flows into the first lake, then the water from the first lake flows into the second lake, and then water from the second lake flows further downstream. The in and out flow from each lake is 500 liters per hour. The first lake contains 100 thousand liters of water and the second lake contains 200 thousand liters of water. A truck with 500 kg of toxic substances crashes into the first lake. Assume that the water is being continually mixed perfectly by the stream.
a. Find the concentration of toxic substances as a function of time in both lakes.
b. When will the concentration in the first lake be below 0.001 kg per liter?
c. When will the concentration in the second lake be maximal?
Answer:
a. For the first lake;
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m·t/200 - m·t²/80000
b. t ≈ 1.00505 hours
c. 200 hours
Step-by-step explanation:
The flow rate of water in and out of the lakes = 500 liters/hour
The volume of water in the first lake = 100 thousand liters
The volume of water in the second lake = 200 thousand liters
The mass of toxic substances that entered into the first lake = 500 kg
The concentration of toxic substance in the first lake = m₁/(100000)
Therefore, we have;
The quantity of fresh water supplied at t hours = 500 × t
The change
The change in the mass of the toxic substance with time is given as follows
dm/dt = (m - m/100000 × 500 × t)/100000
c = (m·t - 0.005·m·t²)/100000
For the second tank, we have;
c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t
Using an online tool, we have;
c = m·t/200 - m·t²/80000
b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100
Substituting gives;
0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;
t ≈ 1.00505 hours
c. For maximum concentration, we have;
c = m·t/200 - m·t²/80000
m/200000 = m·t/200 - m·t²/80000
1/200000 = t/200 - t²/80000
dc/dt = d(t/200 - t²/80000)/dt = 0
Solving with an online tool gives t = 200 hours
Solve for x. Round your answer to the nearest tenth if necessary.
Step-by-step explanation:
sin90 = sinx
19 17
sin x=0.8947
x=63.47°
anyone stressed?? vent to me. and (so this will count as a question)
Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
Answer:72
Step-by-step explanation:
115+115=230
230-158=72
If you add the 115 a month that she earns from babysitting, then add both the months pay together, than subtract 158(cost of the bicycle) by the total pay, you should get 72$
Answer: D. $72
Step-by-step explanation:
If she earns $115 a month and June and July is a combination of two months then we will have to find the amount she earn toegther in June and July by multiplying 2 by $115.
2(115) = 230
She earned $230 in those months, and if the bicycle cost $158 , then we will have to subtract $158 from $230 to find her remaining amount.
$230 - $158 = $72
Find the solution to the system of the equations shown below: y = -4x + 11
y=1/2x+2
Hello!
[tex]\large\boxed{x = 2}[/tex]
Set the two equations equal to each other to solve:
y = -4x + 11
y = 1/2x + 2
-4x + 11 = 1/2x + 2
Add 4x to both sides:
-4x + 4x + 11 = 1/2x + 2 **Convert 4x into 8/2x***
11 = 9/2x + 2
Subtract 2 from both sides:
11 - 2 = 9/2x + 2 - 2
9 = 9/2x
Divide both sides by 9/2:
9 * (2/9) = 9/2x * (2/9)
x = 2.
A 3-foot rain barrel is being filled from the runoff of a roof. The barrel has already collected 2.75 feet of water. For
every additional inch of rainfall into the barrel, the level of water in the rain barrel rises by 0.75 inch.
What is the y-intercept of the linear model representing the change in height of water, in inches, based on the
rainfall, in inches?
ssssssssssssssssssssssssssssss
ANSWER THIS CORRECTLY AND I WILL 5 STAR U AND GIVE U POINTS AND THANK YOU
IF NOT ME AND MY CLASS WILL REPORT YOU FOR WRONG ASNWERS AND GIVE U ONE STAR
HELP ME OUT PLS :))
HAPPY THANKSGIVING ALL!
Answer:
C
Step-by-step explanation:
given:
m= -2 and (3, -1)
point-slope form: y-y1= m(x-x1)
y - (-1) = -2(x-3)
y + 1 = -2(x-3)
Answer:
C.
Step-by-step explanation:
A.) y - 1 = -2(x - 3)
y - 1 = -2x + 6
y = -2x + 6 + 1
y = -2x + 7
B.) y - 1 = -2(x + 3)
y - 1 = -2x - 6
y = -2x - 6 + 1
y = -2x - 5
C.) y + 1 = -2(x - 3)
y + 1 = -2x + 6
y = -2x + 6 - 1
y = -2x + 5
D.) y + 1 = -2(x + 3)
y + 1 = -2x - 6
y = -2x - 6 - 1
y = -2x - 7
Solve the equation. 4d + 2d – 4d + 4 = 3d
Answer:
d = 4
Step-by-step explanation:
1. Simplify both sides of this equation, to start off with.[tex]4d+2d−4d+4=3d
[tex]4d+2d−4d+4=3d[/tex]
[tex]4d+2d+−4d+4=3d[/tex]
2. Combine all the like terms you see here.(4d+2d+−4d)+(4)=
d+4=3d[/tex]
(2d+4=3d)[/tex]
3. Subtract 3d from both sides of this equation.[tex]2d+4−3d=3d−3d[/tex]
[tex] - d + 4 = 0[/tex]
4. Subtract 4 from each sides of the equation.[tex]−d+4−4=0−4[/tex]
[tex] - d = - 4 [/tex]
5. Divide both of the sides by -1.
[tex] \frac{ - d}{ - 1} = \frac{ - 4}{ - 1} [/tex]
Therefore, the answer is d = 4.
The speed of light is 3 x 10^8 meters/second. If the sun is 1.5 X 10^11 meters from earth, how many seconds does it take the sunlight to reach the Earth? (Time = Distance/Speed).
Answer:
Time = 500 seconds or 8.333 minutes
Step-by-step explanation:
Time = Distance/Speed
Speed of light = 3 x 10^8 meters/second
Distance=1.5 X 10^11 meters
Time = 1.5 X 10^11 meters/3 x 10^8 meters/second
We solve using the scientific notation. When 8 is taken to the top it is subtracted from 11 ( the base 10 is the same -- laws of exponents)
Dividing 1.5 by 3 gives 0.5 .
Time = 1.5 X 10^(11- 8) meters/3 meters/second
Time = 0.5 X 10^3 seconds
Time = 500 seconds
Dividng seconds with 60 will give minutes
Time= 500/60 = 8.333 minutes
Plz help me give 13 point it’s timed helpplz
Answer:
yyyy
Step-by-step explanation:
what is the equation of a line that passes through (-7, 3) and is perpendicular to -5/3x = 1/4y -8
Select all answers that apply
Y = 3/20x + 81/20
Y-3 = 3/20(x+7)
Y-3 = -20/3(x+7)
Y = -20/3x -32
3x -20y = -81
The answer can be anything thing that occurs during solving the problem or is the answer.
Answer:
The 1st, 2nd and 5th options are correct.
Step-by-step explanation:
The equation of a line can be written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
①Rewrite the given equation into the form of y=mx+c to find the gradient.
[tex]- \frac{5}{3} x = \frac{1}{4} y - 8 \\ \frac{1}{4} y = - \frac{5}{3} x + 8 \\ y = - \frac{20}{3} x + 32[/tex]
Thus, the gradient of the given equation is [tex] - \frac{20}{3} [/tex].
② Find gradient of unknown line.
The product of the gradients of perpendicular lines is -1.
Let m be the gradient of the unknown line.
[tex]- \frac{20}{3} m = - 1 \\ m = - 1 \div ( - \frac{20}{3} ) \\ m = - 1 \times ( - \frac{3}{20} ) \\ m = \frac{3}{20} [/tex]
③Substitute the value of m into the equation.
[tex]y = \frac{3}{20} x + c[/tex]
④ Find the value of c by substituting a pair of coordinates.
When x= -7, y= 3,
[tex]3 = \frac{3}{20} ( - 7) + c \\ 3 = - \frac{21}{20} + c \\ c = 3 + \frac{21}{20} \\ c = 4 \frac{1}{20}[/tex]
Thus, the equation of the line is [tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex].
Thus, the 4th option is incorrect.
Writing c as an improper fraction,
[tex]y = \frac{3}{20}x + \frac{81}{20} [/tex]
Thus, the 1st option is correct.
-3 from both sides of the equation:
[tex]y - 3 = \frac{3}{20} x + \frac{21}{20} [/tex]
Factorise 3/20 out of the right hand side:
[tex]y - 3 = \frac{3}{20} (x + 7)[/tex]
Thus, the 2nd option is correct.
The 3rd option is incorrect as factorising -20/3 out would leave us with -0.0225 as the coefficient of x.
Let's look at the 5th option.
[tex]y = \frac{3}{20} x + 4 \frac{1}{20} [/tex]
×20 on both sides:
[tex]20y = 3x + 81[/tex]
-20y on both sides:
[tex]3x - 20y + 81 = 0[/tex]
-81 on both sides:
[tex]3x - 20y = - 81[/tex]
Thus, the 5th option is also correct.
Jade has $100 to spend on shoes and socks.She buys a pair of shoes for $75 and and wants to spend the rest of the money on socks.Each pair of socks costs $3.50. What is the greatest number of pairs of socks that jade can buy
Answer:
21.5
Step-by-step explanation:
. 6.8 • 102
Help me c:
Answer:693.6
Step-by-step explanation:
102
6.8
8• 2 16
I WILL GIVE BRAINLIEST
Estimate the value of the irrational number (0.6289731...)^2. Up to how many decimal digits is the estimation correct?
(1.) 5
(2.) 4
(3.) 6
(4.) 7
Answer:
6
Step-by-step explanation:
i am 96% sure it is 6
i might be wrong tho so i would wait for another answer ._.
Answer:
Its 6 and give the other guy his brain he deserves it
Step-by-step explanation: