Answer:
(-3,4) (3,4)
Step-by-step explanation:
Down means you are dealing with the y value of the pair of points. It also means that you are going into negative territory.
(-3 ,1 -5) and (3, 1-5)
New point
(-3 , - 4) and (3,-4)
Now if you reflect this point across the x axis, you are still changing the y value. You will go from - 4 to + 4
(-3,4) (3,4) <<<<< answer
A water taxi travels around an island in a path that can be modeled by the equation y =0.5(x - 16). A water skier is skiing along a path that begins at the point
(6,6) and ends at the point (8. - 4).
a. Write a system of equations to model the problem.
b. Is it possible that the water skier could collide with the taxi? Explain
I realize that the equation is different, but do it in the same way, it'll help! It is given that the water taxi's path can be modeled by the equation y =0.5(x - 14)^2. Therefore, this is one of the equations in this system. Find a linear equation that will model the path of the water skier, which begins at the point (6,6) and ends at the point (8,-4). The slope is (-5). Use the slope and one point on the line to find the y-intercept of the line. The y-intercept of the line that passes through the points (6,6) and (8,-4) is (0,36). Thus, the equation is y=-5x+36. Now, to determine if it is possible for the water skier to collide with the taxi, we have to determine if there is a solution to the system of equations. To determine if there is a solution to the system of equations, solve the system using substitution. First, write the equation that models the water taxi's path in standard form. y=0.5(x - 14)^2-->0.5x^2-14x+98. Use substitution. Substitute for y in the equation and then solve for x. As the expression on the left side of the equation cannot easily be factored, use the Quadratic Formula to solve for x. Do x=-b(plusorminus)sqrrtb^2-4ac/2a. Identify a, b, and c. a=0.5, b=-9, and c=62. Substitute into the Quadratic Formula. If there is a negative number under the radical, there are NO solutions. Thus, the path of the water skier will never cross the path of the taxi.
In conclusion: It is not possible that the water skier could collide with the taxi as the two paths never cross.
Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.
Answer:
26 trees
Step-by-step explanation:
Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?
Given:
b + 2c + 3j
Where,
b = number of hours Ben spends chopping
c = number of hours Cam spends chopping
j = number of hours Justin spends chopping
Substitute the below into the given expression
b = 8 hours
c = 3 hours
j = 4 hours
b + 2c + 3j
= 8 + 2(3) + 3(4)
= 8 + 6 + 12
= 26 trees
They chopped down 26 trees altogether
If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?
Answer
2 apples per $1
Step-by-step explanation:
because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar
An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?
Answer: 24.8 and 155.2
Step-by-step explanation:
x+x+130.4=180
2x=49.6
x=24.8
Answer:
155.2
Step-by-step explanation:
let x be the supplimentary angle
then the angle is
130.4+x
we have
130.4+x+x=180
2x=49.6
multiply both sides with 2
x=24.8
then the angle is
130.4+24.8
155.2
What is 23/24 as a decimal rounded to the nearest hundredth?
Answer:
95.80
Step-by-step explanation:
The number 23/24 rounded to the nearest hundredth is 0.96
What is rounding up numbers?
There are basically two rules while rounding up numbers
If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.
Given data ,
Let the number be A = 23/24
So , in order to round the number
First we need to find the decimal for of the number A
And ,
A = 23/24
A = 0.9583
And , rounding the number to its nearest hundredth is rounding the number to two decimal places
So ,
A = 0.9583
A = 0.96
Hence , The number 23/24 rounded to the nearest hundredth is 0.96
To learn more about rounding of numbers click :
https://brainly.com/question/4896544
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which one is it , help me on this please please please please please please please
Answer:
D
Step-by-step explanation:
7^-2 = 1/7^2
The negative means you flip it
1/7^2 times 7^6 is 7^6/7^2 (just multiply).
using rules of exponents, 7^6/7^2 is 7^4 (just subtract 2 from 6)
D is the only one that equals 7^4, as 2 times 2 is 4.
67°
15
h
b
What is the area
Answer:
1005
Step-by-step explanation:
Assuming this is a rectangle, square, or other 4 sided figure, the ft^2 would be 1005
A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??
Answer:
15.00
Step-by-step explanati
the discount is 15% because you need to subtract it
the smallest number that divides by 8 10 and 12( please answer fast i have exams in 1 hr
Answer:
120
Step-by-step explanation:
A store is selling sweaters for 65% of the original price (or 35% off). If the original price of the sweater is $56.00, what is the sale price of the sweater?
Answer:
36.40
Step-by-step explanation:
Make a proportion : 35/100 = x/56. 35 times 56= 19.6. 56-19.6= 36.4
Hope this helps!
Answer:
The sales price is $36.40
What is the value of the expression
s(8-2)/t
when s=0.5 and t= 2
A 0.5
B 1
C 1.5
D 2
Answer:
C. 1.5
Step-by-step explanation:
replace the values in the equation with the values given.
Answer:
I think it will be C. 1.5
the length of a rectangle exceeds its breadth by 4 cm. if the area of the rectangle is 96cm squared . find the length and breadth
Answer:
length=12; breadth=8
Step-by-step explanation:
l=w+4
w(w+4)=96
w²+4w-96=0
(w+12)(w-8)=0
width=8
length=w+4=12
Answer:
length=12; breadth=8
Step-by-step explanation:
Hope this helped have an amazing day!
For every | | followers Matthew has, Kevin has | |followers.
PLEASE HELP ILL MARK BRAINLEST
Answer:
For every 5 followers Mathew has, Kevin will have 10
Step-by-step explanation:
Answer:
For every 5 followers Matthew has, Kevin has 10 followers.
Step-by-step explanation:
A bus leaves a station traveling north at 70 kilometers per hour. Half an hour later a
second bus leaves the same station traveling north at 80 kilometers per hour. How far
from the station will the buses meet?
Answer:
280 km
Step-by-step explanation:
Given that a bus, say [tex]b_1[/tex], leaves a station traveling north at speed of 70km/hour.
Half an hour later the second bus, say [tex]b_2[/tex], leaves a station traveling north at speed of 70km/hour.
As, distance = speed x time,
so, the distance traveled by bus [tex]b_1[/tex] in 0.5 hours = 70 x 0.5 = 35 km.
Note that, both the buses are traveling in the same direction and when the second bus leaves the station, the first bus already covered a distance of 35 km.
Let the second bus took [tex]t[/tex] hours to meet the first bus and both the buses meet at a distance of [tex]d[/tex] km from the station.
The distance traveled by the first bus from the station, [tex]d = 35 + 70t[/tex] km
[tex]\Rightarroe t= \frac {d-35}{70}\cdots(i)[/tex]
and the distance traveled by the second bus, [tex]d = 80t[/tex] km
[tex]\Rightarrow t=\frac {d}{80}\cdots(ii)[/tex]
Now, equation the equation (i) and (ii), we have
[tex]\frac {d-35}{70}=\frac {d}{80} \\\\\Rightarrow 8(d-35)=7d \\\\\Rightarrow 8d - 280 = 7d \\\\\Rightarrow 8d-7d=280 \\\\\Rightarrow d = 280 km[/tex]
Hence, both the bus will meet at a distance of 280 km from the station.
help me quys plz, which one is it
14. Which graph has an undefined slope?
Given:
Slope is undefined.
To find:
Which graph has an undefined slope?
Solution:
We know that, slope is change in y-values with respect to x-values.
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope is undefined if the denominator is 0.
[tex]x_2-x_1=0[/tex]
[tex]x_2=x_1[/tex]
It means, the x-values are same. It is possible only for a vertical line.
Therefore, the slope of vertical lines are undefined or we can say that graph of a vertical line has an undefined slope. It is of the form [tex]x=a[/tex], where, a is a constant and it can be any real number.
Nia put $750 in her savings account the simple interest rate is 3% of the account if nia doesnt withdraw or deposit.how much would nia´s acoount be at in 2.5 years
Answer:750 divided by 3
Step-by-step explanation:
The numbers 22 and 35 are relatively prime. TrueFalse
Answer: True
Step-by-step explanation:
Answer:
False They are coprime numbersStep-by-step explanation:
I hope it helps ❤❤This is a test my sister made to see how smart I am plz help.
Answer:
16.) second choice: (5,-6)
17.) third choice: (-10) (-8) (-5) (0) (1)
18.) fourth choice: (.18) (0.4) (1/4) (227)
yaaaa heree ya goo... good luck :D
Answer:
Honestly i dont even know
Step-by-step explanation:
A consumer advocate group selects a random sample of 205 snow foods in find 174 of them contain more what is indicated on the snacks nutritional information. Create a 90% confidence interval for the population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information
Answer: (0.809, 0.891)
Step-by-step explanation:
Let p = population proportion for a snack foods that contain more fat grams and was indicated on the snacks nutritional information .
As per given , we have
Sample size : n= 205
Sample proportion: [tex]\hat{p}=\dfrac{174}{205}\approx0.85[/tex]
z-value for 90% confidence = 1.645
Confidence interval for p: [tex]\hat{p}\pm z^* \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.85\pm (1.645)\sqrt{\dfrac{(0.85)(1-0.85)}{205}}\\\\=0.85\pm (1.645)\sqrt{\dfrac{0.85\times0.15}{205}}\\\\= 0.85\pm (1.645)\sqrt{0.000621951219512}\\\\=0.85\pm0.041\\\\=(0.85-0.041,\ 0.85+0.041)\\\\= (0.809,\ 0.891)[/tex]
Hence, the required confidence interval = (0.809, 0.891)
Rose how r u doing with Sofie???
Can someone help please? i’ll give you brainliest, sorry if it’s hard to see
1/4 and 4
Step-by-step explanation:
small to large: 2/8 =1/4
large to small: 8/2 =4
Answer: 2x4=8 , 16x8=128
128x8=1024
Step-by-step explanation: hope I help with your problems and sorry if it wrong
For a given function ƒ(x), the translation ƒ(x – 2) + 3 means the function will shift
Question 6 options:
A)
right 2 and upward 3.
B)
right 3 and upward 2.
C)
left 3 and downward 2.
D)
left 2 and downward –3.
Answer:
A
Step-by-step explanation:
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Then f(x - 2) represents a shift to the right of 2 units
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
Then f(x - 2) + 3 is shift to the right of 2 and up by 3 units
Answer:
right 2 and upward 3.
Step-by-step explanation: I took the test
1. the smallest composite number is _________
Answer:
hey dear the smallest composite number is 4
Helppppppppppp with 3 & 4!!!!!!!!!!!!!!!!!!!!!!!
Answer:
3 is b
4 is also b
Step-by-step explanation:
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
8 more than a third of a number
Answer:
8 + 1/3n
Step-by-step explanation:
If bc+ad=b solve for a
Answer:
Step-by-step explanation:
bc + ad = b
bc + ad/bc = b/bc
ad = b/bc
ad/d = b/bc + d
a = b/bc+d
Sophia's dad paid $43.25 for 12.5 gallons of gas. What is the cost of one gallon of gas
Answer:
It is $3.46
Step-by-step explanation:
Hope this helped have an amazing day!