Answer:
(3,0) lie between quadrants I and II. (-9, -3) lie in quadrant III
Use the quadratic formula to solve x - 5x+3 = 0.
Answer:
(D) [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
Step-by-step explanation:
The quadratic formula is:
[tex]\begin{array}{*{20}c} {\frac{{ - b \pm \sqrt {b^2 - 4ac} }}{{2a}}} \end{array}[/tex]
Assuming that a is our x² term, b is our x term, and c is the constant, we can substitute inside the equation.
[tex]\begin{array}{*{20}c} {\frac{{ - (-5) \pm \sqrt {5^2 - 4\cdot1\cdot3} }}{{2\cdot1}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {25 - 12} }}{{2}}} \end{array}[/tex]
[tex]\begin{array}{*{20}c} {\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex]
So the answer is D, [tex]\begin{array}{*{20}c} {x=\frac{{ 5 \pm \sqrt {13} }}{{2}}} \end{array}[/tex].
Hope this helped!
Identify the type of function represented by f(x) = 3/8(4)^x
A. Exponential decay
B. Exponential growth
C. Linear
D. Quadratic
variable is in power so it exponential.
the constant and coefficient both are positive so it is exponential Growth.
In 5 hours a small plane can travel downwind for 4000 kilometers
or upward 3000 kilometers. Find the speed of this plane with no wind and the speed of the wind current.
write as an equation
Answer:
the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Step-by-step explanation:
Let V be the speed of the plane and v the speed of the wind. Down current, they are in opposite directions, and the plane travels a a distance of 4000 km in 5 hours,so
5(V - v) = 4000
V - v = 800 (1)
For upwind movement, since the plane travels 3000 km in 5 hours, so
5(V + v) = 3000
V + v = 600 (2)
adding equations (1) and (2), we have
V - v = 800
+
V + v = 600
2V = 1400
V = 1400/2 = 700 km/h
subtracting equations (2) from (1), we have
V - v = 800
-
V + v = 600
-2v = 200
v = -200/2 = -100 km/h
So, the speed of the plane with no wind is 700 km/h and the speed of the wind is 100 km/h
Which of the following shows the correct solution steps and solution to 7x-4= -18?
Answer:
x = -2
Step-by-step explanation:
To solve for x always get x on one side
First add 4 on each side, 4 + 7x - 4 = -18 + 4
Next subtract 18 from 4, making it -14 7x = -14
Now divide 7 on each side, x = -2
Another way to write g(h(x)) is
Answer:
((x)h)g
Step-by-step explanation:
Hope this helps and if this is wrong then please comment the right answer and I will edit it thanks :)
The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.
Answer:
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Step-by-step explanation:
[tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex]
Factorizing the expressions we have
[tex]\frac{x^{2} + 3x -2x - 6}{x^{2} -x - 5x + 5} X \frac{x^{2} + 3x - x - 3}{x^{2} -2x -5x + 10}[/tex]
[tex]\frac{x(x + 3)- 2(x + 3)}{x(x -1) - 5(x - 1)} X \frac{x(x + 3) - 1(x + 3)}{x(x - 2) - 5(x - 2)}[/tex]
[tex]\frac{(x + 3)(x - 2)}{(x - 5)(x - 1)}X\frac{(x + 3)(x - 1)}{(x - 2)(x - 5)}[/tex]
Cancelling out the like factors, (x -1) and (x - 2), we have
[tex]\frac{(x + 3)(x + 3)}{(x - 5)(x - 5)}[/tex]
= [tex]\frac{(x + 3)^{2} }{(x + 5)^{2} }[/tex]
So the quotient of [tex]\frac{x^{2} + x - 6}{x^{2} -6x + 5} X \frac{x^{2} + 2x - 3}{x^{2} -7x + 10}[/tex] has (x + 3)² in the numerator and (x + 5)² in the denominator.
Someone pls help me . I will mark you brainliest !! thank you sm .
Answer:
first one is 27.89, the second is 20.
Step-by-step explanation:
1. So the 340 dollars is determined by 9.50 multiplied by the amount of hours you show up (which we will call x), plus the 75 dollars.
Your equation will be set up like this : 9.50x +75 = 340
So, to get x, we must isolate it. so subtract 75 from both sides
9.50x +75 -75 = 340 -75 9.50x = 265
Now, since we know that 9.50 multiplied by x equals 265, to isolate and find out x (the hours worked during the pay period), we divide both sides by 9.50
9.50x/9.50 = 265/9.50 so, x = 27.89473684, but based off of the answers there, you would just round to x = 27. 89 hours worked.
2. So now the 120 chips are determined by 6 chips multiplied by the minutes, since 6 chips are eaten every minute, with the minutes represented as x, like this: 6x = 120
So this time, you don't subtract or add anything, you would just divide by 6 to isolate x.
6x/6 = 120/6 so, x = 20 minutes.
What is the value of w? inscribed angles (Image down below)
Answer:
w = 100°
Step-by-step explanation:
Opposite angles in an inscribed quadrilateral in a circle are supplementary.
Therefore, [tex] w + 80 = 180 [/tex]
Subtract 80 from both sides
[tex] w + 80 - 80 = 180 - 80 [/tex]
[tex] w = 100 [/tex]
The value of w = 100°
Someone please help me!! Tyy
Answer:
x² = 900
Step-by-step explanation:
ΔABC is an equilateral triangle because its sides are equal lengths
this means their angles are also equal.
180 / 3 = 60
∠BCA and ∠DCA are supplementary angles - add up to 180º
if ∠BCA = 60º, then ∠DCA = 120º
ΔACD is an isosceles triangle because two sides are equal lengths. this means their angles are equal.
∠CAD ≅ ∠CDA
180 - ∠DCA = 2(∠CAD)
180 - 120 = 60
60 / 2 = 30º
x = 30º
x² = 900
Micha is playing a game with five cards numbered 1 through 5. He will place the cards in a bag and draw one card at random three times, replacing the card each time. To win a prize, he must draw the number 5 all three times. What is the probability he will draw the number 5 all three times?
Answer: 0.008
Step-by-step explanation:
We have 3 experiments.
Each experiment is exactly the same: "Drawing the card with the number 5, out of a bag with five cards".
in a random selection all the cards have exactly the same probability of being drawn, so the probability of drawing the 5, is equal to the quotient between the number of cards with the 5 (only one) and the total number of cards in the bag (5) then the probability is:
p = 1/5.
And we want this event to happen 3 consecutive times, then the total probability is equal to the product of the probabilities for each event:
P = (1/5)*(1/5)*(1/5) = 1/125 = 0.008
Which one of these relations are functions ?
Please helpppp fast
Answer:
the 4th and 6th one
Step-by-step explanation:
A function is when there are x- and y-values but each x value has only 1 y-value
Simple: If the x-value is repeated its not a function
Answer:
Step-by-step explanation:
1,2,3
what is the discriminant and how many solutions?
Step-by-step explanation:
[tex]\text{Discriminant} =\Delta = b^2-4ac\\
\implies \Delta = 7^2-4(1)(10)=49-40=9\\
\therefore \Delta >0\\[/tex]
Since the discriminant is greater than zero, there are two real solutions.
Also, the solutions are $x=5$ and $x=2$
The sum of 3 consecutive odd numbers is 183. What is the second number in this sequence?
Answer:
61
Step-by-step explanation:
x+x+1+x+2 = 183
3x+3 = 183
3x = 180
x = 60
Second number = x+1 = 61
Which of the following best represents the average rate at which the human hair grows (1 point)
a
0.25 inches per second
b
0.25 meters per hour
с
0.25 meter per month
d
0.25 inches per month
Answer:
D.0.25 inches per months
Step-by-step explanation:
The average rate or speed of human hair growth is about 0.25inches per month.
Please answer this question now
Answer:
65.94 square inches
Step-by-step explanation:
Surface area of a cone=πr(r+√h^2+r^2)
π=3.14
r=diameter/2
=14/2
=7 in
h=?
h=a
To find h using Pythagoras theorem
c^2 = a^2 + b^2
14^2 = a^2 + 7^2
14^2 - 7^2= a^2
196-49=a^2
147=a^2
Square root both sides
√147=√a^2
12.12=a
a=12.12 in
Surface area of a cone=πr(r+√h^2+r^2)
=3.14(7+√12.12^2+7^2)
=3.14(7+√147+49)
=3.14(7+√196)
=3.14(7+14)
=3.14(21)
=65.94 square inches
3 people can fix a road in 5 hours how long would it take 4 people give your answer in minutes
Answer:
Hey there!
1 person can fix 1/3 of the road in 5 hours.
1 person can fix 1/15 of the road in 1 hour.
4 people can fix the road in 15/4, or 3.75 hours.
This is equal to 225 minutes.
Let me know if this helps :)
3 people - 5 h
4 people - x h
[tex]4\cdot x=3\cdot 5\\4x=15\\\\x=\dfrac{15}{4}=3,75[/tex]
3.75 h
A gear ratio is the ratio of the teeth on the rear sprocket. If a bike has 36 teeth on the front and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
Answer: the ratio of the bike is 3
Step-by-step explanation:
its simply easy all you have to do is divide 36/12
Hey There!!
The answer to this is: (3:1) 36:12. 36 is the teeth on the front socket and 12 is the teeth on the rear socket. All you need to do is simplify by finding the greatest common factor (GCF) of 36 and 12-which is 12, then divide by the GCF. This gives you 3:1. The gear ratio for the bike is 3 teeth on the front socket for every 1 teeth on the rear socket (3:1).
Hope It Helped!~ ♡
ItsNobody~ ☆
Complete the square.
3x^2-12x=96
Answer:
x = 8 and -4
Step-by-step explanation:
3x² - 12x = 96
3(x² - 4x + 4 = 32 + 4)
3[(x - 2)² = 6²]
x - 2 = +/- 6
x = 8
x = -4
a pizza shop offers 30% of the price of a large pizza every tuesday night. if the regular price is 25, what is the discount price?
Answer:
17.50
Step-by-step explanation:
First find the discount
25 * .3
7.5
Subtract this from the original price
25-7.5
17.50
In circle O, AC and BD are diameters. Circle O is shown. Line segments B D and A C are diameters. A radius is drawn to cut angle C O C into 2 equal angle measures of x. Angles A O C and B O C also have angle measure x. What is mArc A B?
Answer:
120
Step-by-step explanation:
Got it right on the assigment
Answer:
c. 120
Step-by-step explanation:
24. Three minus four times a number is equal to ten times a number plus ten.
25. Four times the quantity of three times c plus 5 is equal to 8.
26. Six less than two thirds of a number is negative ten. Find the number.
27. Twenty-nine is thirteen added to four times a number. What is the number.
Answer:
(24) 3 - 4b = 10c + 10
(25) 4(3c+5) = 8
(26) - 6
(27) 4
Step-by-step explanation:
These questions require that words are translated into equations and then may be solved.
(24) Three minus four times a number is equal to ten times a number plus ten.
let the first number be b.
(a)Three minus four times a number ... can be represented as:
3 - (4 x b) = 3 - 4b
(b) ...ten times a number plus 10
let the other number be c. Therefore we have;
(10 x c) + 10 = 10c + 10
Now, three minus four times a number is equal to ten times a number plus ten means that expressions in (a) and (b) above are equal. i.e
3 - 4b = 10c + 10
(25) Four times the quantity of three times c plus 5 is equal to 8.
(a) four times the quantity of three times c plus 5 can be represented as
4 x (3 x c + 5) = 4(3c + 5)
(b) ... is equal to 8. This means that the expression in (a) is equal to 8.
4(3c + 5) = 8
(26) Six less than two thirds of a number is negative ten. Find the number.
(a) six less than can be represented as:
- 6
(b) two thirds of a number can be represented as
([tex]\frac{2}{3}[/tex])x [where x is the number]
(c) six less than two thirds of a number can thus be written as;
([tex]\frac{2}{3}[/tex])x - 6
(d) ... is negative 10 means that the expression is (c) above is equal to -10. i.e
([tex]\frac{2}{3}[/tex])x - 6 = -10
(e) Find the number.
The number can be found by solving for x in the expression in (d) above.
([tex]\frac{2}{3}[/tex])x - 6 = -10 [multiply through by 3]
2x - 18 = -30 [collect like terms]
2x = -30 + 18
2x = -12 [divide both sides by 2]
x = - 6
Therefore, the number is -6
(27) Twenty-nine is thirteen added to four times a number. What is the number.
(a) ... thirteen added to four times a number can be written as:
13 + 4b [where the number is b]
(b) Twenty-nine is thirteen added to four times a number means that the 29 is equal to the expression in (a) above. i.e
29 = 13 + 4b
(c) Find the number.
The number can be found by solving for b in the expression in (b) above. i.e
29 = 13 + 4b [collect like terms]
4b = 29 - 13
4b = 16 [divide both sides by 4]
b = 4
Therefore, the number is 4.
The perpendicular bisector of the line segment connecting the points $(-3,8)$ and $(-5,4)$ has an equation of the form $y = mx + b$. Find $m+b$.
Answer:
m = -1/2 and b = 6.5
Step-by-step explanation:
To find the slope of the original line segment, we have to do the change in y/the change in x:
(4-8)/(-5--3) = -4/-2 = 2
2 is the slope of the original line segment, but since this is the perpendicular bisector, we have to take the negative reciprocal of 2 so m = -1/2
To find b we substitute the values of x, y, and m into the equation. Let's use the x value of -3 and the y value of 8:
y = mx + b
8 = -1/2(-3) + b
8 = 3/2 + b
6.5 = b
How do I find DG. A. 3 B. -7 c. 16 d. 13
Answer:
x = -7
Step-by-step explanation:
DE + EF + FG = DG
2x+17 + 8+2 = x+20
Combine like terms
2x+ 27 = x+20
Subtract x from each side
2x+27-x = x+20-x
x+27 = 20
Subtract 27 from each side
x+27-27 = 20-27
x = -7
A raft in an amusement park ride comes out of a tuner and heads straight toward a waterfall at a speed of 44 feet per second. The waterfall is 240 feet from the tunnel. What equation is a function rule that represents the distance of the raft to the waterfall?
Answer:
d = 240 - 44t
Step-by-step explanation:
Distance of the raft to the waterfall
The raft is heading for the waterfall, therefore, the distance between the raft and the waterfall is diminishing.
Waterfall=240 ft from the tunnel
Speed of the raft =44 ft per second
Therefore the equation of a function rule that represent the distance of the raft to the waterfall is:
d = 240 - 44t
Where t=time in seconds
Julio is paid 1.3 times his normal hourly rate for each hour he works over 31 hours in a week. Last week he worked 42 hours and earned $548.13. Enter and solve an equation to find Julio's normal hourly rate, r. Complete the explanation how you know that your answer is reasonable.
Step-by-step explanation:
Answer:
$12.10 / hour
Step-by-step explanation:
42 - 31 =
1.3(11)r + 31r = 548.13
14.3r + 31r = 548.13
45.3r = 548.13
r = 12.1 / hour
Two stores sell the same computer for the same original price. Store A advertises that the computer is on sale for 25% off the original price. Store B advertises that it is reducing the computer’s price by $180. When Brittany compares the sale prices of the computer in both stores, she concludes that the sale prices are equal. Let p represent the computer’s original price. Which equation models this situation?
Answer:
p= 25/100 = 180/x
Step-by-step explanation:
In order to find the computer's original price, you must use the equation p= 25/100 = 180/x and solve for x.
Answer:
0.75p=p-180
Step-by-step explanation:
0.75p=p-180 is your answer
Point Q is on line segment PR. Given QR=11 and PQ=3, determine the length PR.
Answer:
[tex]\huge \boxed{14}[/tex]
Step-by-step explanation:
Q is a point on the line segment PR.
PQ = 3
QR = 11
PR = PQ + QR
PR = 3 + 11 = 14
Answer:
[tex]\huge\boxed{PR = 14}[/tex]
Step-by-step explanation:
QR = 11
PQ = 3
Given that Q is on line segmant PR
So,
PR = PQ + QR
PR = 3 + 11
PR = 14
slope of (-2,2) and (3,4)
Answer:
2/5
Step-by-step explanation:
Good luck!
Temperature can be measured in two different common units: degrees Celsius and degrees Fahrenheit. fff represents the temperature in degrees Fahrenheit as a function of the temperature ccc in degrees Celsius. f=32+1.8cf=32+1.8cf, equals, 32, plus, 1, point, 8, c Water freezes at 000 degrees Celsius. What is the freezing temperature of water in degrees Fahrenheit?
Answer:
Water freezes at 32 °F.
Determine what type(s) of angles are described by the following angle measures. Angle of 35 degrees.
Answer:
Acute.
Step-by-step explanation:
An angle of measure between 0 and 90 degrees is an acute angle.
