Answer:
y= -4x+8
Step-by-step explanation:
y-y1= m(x-x1)
y-4 = (-4)(x-1)
y-4 = -4x+4
y = -4x+4+4
y = -4x+8
To make a sports drink, Tommy puts 2 liters of water in a pitcher along with 4 ounces of sports drink additive. How much liquid is now in the pitcher, in ounces?
1 liters = 33.81 ounces
Answer:
71.62
Step-by-step explanation:
2 liters = 2(33.81) ounces or 67.62 oz
4 more ounces were added
new total is 71.62 oz
The Great Lakes have a water area of about 2.44 X 105 square
kilometers. One of them, Lake Huron, has a water area of about
6.0 x 104 square kilometers. What approximate fraction of the total
water area of the Great Lakes does Lake Huron represent?
Answer:
15/61 ≈ 1/4
Step-by-step explanation:
The fraction is the area of Lake Huron divided by the total area.
(6.0·10^4)/(24.4·10^4) = 6/24.4 = 15/61
This is approximately 15/60 = 1/4.
The area of Lake Huron is 15/61 of the total area of the Great Lakes, about 1/4 of the total.
Please help me with my question
Answer:
[tex]\huge\color{Black}\boxed{\colorbox{pink}{Answer♡}}[/tex]
Given ,[tex]p(x) = ax {}^{3} + 8x {}^{2} + bx + 5 ...(1)[/tex]
Also According to Question ,on dividing polynomial p(x) by ( x + 2 ) , we obtain ( -25 ) as a remainder.
Therefore , putting the value of x as ( x = -2 )
[tex]p( - 2) = a( - 2) {}^{3} + 8( - 2)^{2} + b( -2) + 5[/tex]
[tex]p( - 2) = - 8a + 32 - 2b + 5 = - 25 \\ = > - 8a - 2b + 37 = - 25 \\ = > - (8a + 2b) = - (25 + 37) \\ cancelling \: negative \: sign \: at \: both \: sides \\ 8a + 2b = 52 \\ dividing \:both \: sides \: by \: 2 \\ 4a + b = 26...(2)[/tex]
also given that..
when the polynomial p(x) is divided by 2x-1 , it gives 0 as the remainder , i.e. , 2x-1 is a root of p(x)
putting value of x = 1/2 in equation (1)
[tex]p( \frac{1}{2} ) = a( \frac{1}{2}) {}^{3} + 8( \frac{1}{2} ) {}^{2} + b( \frac{1}{2} ) + 5 = 0 \\ = > \frac{a}{8} + \frac{8}{4} + \frac{b}{2} + 5 = 0 \\ = >taking \: LCM \\ = > \frac{a + 16 + 4b + 40}{8} = 0 \\ = > \frac{a + 4b + 56}{8} = 0 \\ = > a + 4b = - 56...(3)[/tex]
Now , we have equations (2) and (3) as...4a + b = 26... (2)
a + 4b = -56... (3)
multiply equation (2) by 4..16a + 4b = 104...(4)
Solving equations (3) and (4)a + 4b = -56
16a + 4b = 104
- - - ( bc signs are same )solving these equations we get,
-15a = -160
a = -160/-15
a = 32/3
putting value of a in (2) , we get...[tex]4a + b = 23 \\ 4( \frac{32}{3} ) + b = 23 \\ \frac{128}{3} + b = 23 \\ b = 23 - \frac{128}{3} \\ taking \: LCM \\ b = \frac{69 - 128}{3} \\ = > b = \frac{ -59}{3}[/tex]
hope helpful~
Dwayne plans to add a railing parallel to a flight of stairs that goes down to the basement in his house. The stairs have the dimensions shown in the sketch. Landing 7.5 in 9.5 in 7.5 95 9.5 What will be the length of the railing from Point A to Point B? Show or explain how you got your answer.
Answer:
121 inches
Step-by-step explanation:
See the attached diagram. We can form a right triangle as shown. The base and sides of the right triangle can be computed by adding the 10 steps of horizonal distance 9.5" (95" for the base) and the 10 vertical distances of 7.5" (75" total) for the height. Use the Pythagorean Theorem to calculate the hypotenuse, which will be the same as the railing length.
I need help ASAP …………….
Answer:
for me the answer is y=0.17x+2
not sure
correct me if im wrong
love ya
Step-by-step explanation:
#brainly
7/18÷14/9 don't mind this I need 20 characters
Answer:
0.25
Step-by-step explanation:
Answer:
0.25
Step-by-step explanation:
8(3x – 6) = 6(4x + 8)
Answer: 0 = 96
Step-by-step explanation:
Answer:
The Answer is 0=96
When is f(x) when x=-5
Answer:
f is equivalent to 15 and when you replace x with -5 you will have to multiply 15×(-5) and you will get -75 as an overall answer.
Please answer this question Step by Step method.
If it is correct you will get a thank you and 5 stars from me.
Answer:
see explanation
Step-by-step explanation:
The perimeter P is the sum of the 4 sides of the rectangle.
The opposite sides of the rectangle are congruent , then
P = 2x + 1 + 2x + 1 + x + x ← collect like terms
P = 6x + 2
someone can help me with this
Answer:
x < -7/3
x [tex]\geq[/tex] 5
Step-by-step explanation:
For the first part:
3x + 10 < 3 subtract 10 from the both sides of the inequation
3x < -7 divide both sides by 3
x < -7/3
For the second part:
2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation
2x [tex]\geq[/tex] 10 divide both sides by 2
x [tex]\geq[/tex] 5
he grass in Jamie's yard grew 16161616 centimeters in 10101010 days. It was growing at a constant rate. How many days did it take the grass to grow 1111 centimeter
Lucas and his brother, Max, went to the arcade yesterday. Lucas played 2 games of Rodeo Racing and 8 games of Polar Pinball. Max played 3 games of Rodeo Racing and 9 games of Polar Pinball. Which brother played the greater ratio of Rodeo Racing to Polar Pinball?
Answer:
Max
Step-by-step explanation:
Lucas played 2 Rodeo Racing:8 Polar pinball = 1:4 (Divide by 2)
Max played 3 Rodeo Racing:9 Polar pinball = 1:3 (Divide by 3)
1:3 is greater than 1:4 so this proves that Max has played the greater ration of Rodeo Racing to Polar Pinball.
Answer:
Max played the greater ratio.
Step-by-step explanation:
:)
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
hey i need some help with this one.
Answer:
y = -2x - 8
Here's how I got that:
- You first assign the points -
(-8, 8) → x1 = -8, y1 = 8
(1, -10) → x2 = 1, y2 = -10
- Now you plug those points into slope formula and solve-
[tex]s=\frac{y2-y1}{x2-x1}[/tex]
↓
((-10) - 8)/(1 - (-8))
↓
-18/9
↓
slope = -2
- Now we plug the numbers we got into intercept formula -
b = y1 − s ⋅ x1
↓
8 - (-2) · (-8)
↓
y-intercept = -8
- Put everything together and you get.. -
y = -2x - 8
~That's all folks~
-Siascon
[tex]\text{Given that,}\\\\(x_1,y_1) = (-8,8) ~ \text{and}~ (x_2,y_2) = (1,-10)\\\\\text{Slope, m}= \dfrac{y_2- y_1}{x_2-x_1} = \dfrac{-10-8}{1+8} = -\dfrac{18}{9} =-2\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y = m(x-x_1)+y_1\\\\\implies y = -2(x+8) + 8\\\\\implies y = -2x -16 +8\\\\\implies y = -2x -8[/tex]
What is 35 + 34 ? I cant use calcu pls help me
Answer:
the answer is 69
Step-by-step explanation:
for your answer you need to understand fast that when you add 34 and 35 what will be the answer you need to think that your answer will be cirrect or not and its very easy question
lemma wants to build a road named stargazer boulevard that will be parallel to moonbeam drive, on this road she will build a diner located 7 blocks north of the community garden where is the diner located
Answer:
(20,
Step-by-step explanation:
Từ điểm A ở ngoài (O) kẻ các tiếp tuyến AB, AC với đường tròn (B và C là các tiếp điểm), BC cắt OA tại D, trên cung nhỏ BC lấy E, ED cắt (O) tại F chứng minh góc BAE = góc CAF
(a) A straight line L, whose equation is 3y - 2x = -2 meets the x-axis at R Determine the co-ordinates of R.
Answer:
(1 , -2/3)
Step-by-step explanation:
when y =0
3×0-2x=-2
0-2x=-2
divide both side by -2
x=1
when x=0
3y-2×0=-2
3y-0=-2
divide both side by 3
y=-2/3
Coffee then:45 calories Coffee now:270 calories what is the percent of increase
Answer:
611.111 repeating
Step-by-step explanation:
Take 270 and divide it by 45 and then move the decimal point 2 times over to the right to make it a percent.
Answer:
+600%
Step-by-step explanation:
[tex]\frac{270}{45} =\frac{x}{100} \\270x100=45x\\27,000=45x\\\frac{27,000}{45} =x\\x=+600%[/tex]
hope that helps!
The primary driver of offshore outsourcing is driven by __________.
Answer:
cost
Step-by-step explanation:
How i can answer this question
Answer:
Your correct Awnsers are A and D
During a sale, a store offered a 30% discount on a bed that originally sold for $580 After the sale, the discounted price of the bed was marked up by 30%. What was the price of the bed after the markup ? Round to the nearest cent .
The price of the bed after the markup is $527.80.
The given parameters:
Discount = 30%Price of the bed, = $580Markup = 30%The price of the bed after the discount of 30% is calculated as follows;
P = $580 - 0.3($580)
P = $406
The price of the bed after the markup is calculated as follows;
P = $406 + 0.3(406)
P = $527.8
Thus, the price of the bed after the markup is $527.80.
Learn more about discount price here: https://brainly.com/question/23865811
i a stoc kcar model is built to scale of 1 cm : 2.5 ft and the model measures 7.7 cm in length, what will be the length of actual stock car?
Answer:
19.25 ft
Step-by-step explanation:
for every one cm the actual car is 2.5 feet. therfore it would be 7.7 times 2.5 which equals 19.25
8) The height of a stack of CD cases is Proportional to the number of CD’s in the stack. A stack of 6 CD’s is 66mm high.* Find the unit rate**
a) How high is a stack of 10 CD’s?
b) Write an equation that relates the height (y) of a stack of CD’s and the number of CD cases(x) in the stack.
Step-by-step explanation:
well, when 6 CD cases are 66 mm high, then 1 CD case is 66/6 = 11 mm high.
a)
therefore, 10 CD cases are 11×10 = 110 mm high.
b)
y = 11x
Leticia reads the temperature of a solution in a lab experiment. The temperature of the solution is 6.1ºF. After 6 hours, she reads the temperature of the solution again. The temperature of the solution is now −1.7°F. Leticia plots the points on a number line to determine the temperature change between these two readings. How much did the temperature decrease? Enter your answer as a decimal in the box.
Answer:
1.4F. When you add 3.1 to -1.7 you get 14F
Answer:
1.4 is the answer
Step-by-step explanation: Hey I didn't get an A on my test but i got this one right
Alondra says that (12 + 31) × 5 is equivalent to 12 + 31 × 5 because of the associative property. Determine if Alondra is correct. Justify your answer.
Answer:
No
Step-by-step explanation:
(12 + 31) × 5 = 215
12 + 31 × 5 = 167
order of operations are the rules that state the sequence in which the multiple operations in an expression should be solved.
Order of Operations :
1. Parentheses
2. Exponents
3. Multiplication and Division
4. Addition and Subtraction
helpp my grades are almost dueeeeeeee,,, but anyway hows yall dayyy?
Answer: c) -1/6, check picture below
Step-by-step explanation:
i need help with this i dont know how to do it...
∠C & 40° are vertically opposite angles. Vertically opp. angles have equal measures. So,
[tex]\mathfrak{Angle \: of \: C = \boxed{40^{\circ}}}[/tex]
[tex]\mathbb{MIREU} [/tex]
does anyone know this answer?
Answer:
2x = 40°
3x = 60°
4x = 80°
Step-by-step explanation:
2x+3x+4x = 180°
9x = 180
x = 20
SO
2x = 2(20) = 40°
3x = 3(20) = 60°
4x = 4(20) = 80°
A train accelerates at an average rate of 0.33 meter per second squared, and the
train starts from a complete stop. Find how long it will take the train to reach its
maximum velocity of 48 meters per second.
Pls someone help ASAP
Answer:
I don't know
Step-by-step explanation:
please mark me as the brainlist