Answer:
A. Consistent and dependent
Answer:
D. Consistent and independent
Step-by-step explanation:
A. Consistent and dependent = two lines that overlap with each other so they have infinite solutions (ex. y = 4x and 4y = 16x equal the same thing)
B. Inconsistent = parallel lines that will NEVER meet each other, so no solution (y = 4x and y = 4x + 1 have the same slope so the steepness of the two lines is the same - they will NEVER have at least 1 point intersecting)
C. Not enough information - incorrect because there are two lines on a graph, and that is enough info to solve
D. Consistent and independent = two lines with EXACTLY ONE SOLUTION (ex. y = 4x + 3 and y = 2x + 2 have exactly one point that overlaps)
Make x the subject of the formula,
y (x-4) squared +6
Answer:
Is "y (x-4) squared +6": y = (x-4)^2 + 6?
If so,
x = y^(1/2) - 6^(1/2) + 4
Step-by-step explanation:
Assuming the equation is: y= (x-4)^2 + 6y^(1/2)= (x-4) + 6^(1/2)
(x-4) = y^(1/2) - 6^(1/2)
x = y^(1/2) - 6^(1/2) + 4
If someone has a cylindrical container filled to the top with water and pours the water in a cone with the same diameter, d= 6in, and height, h=14 in, into the cone, what is the volume of water left in the cylinder?
Answer:
6.2
Step-by-step explanation: TOOK THE TEST
HELP PLEASE. The product of the roots of the equation ax^2+x-24=0 is equal to -2 2/5. Find the value of a in the equation.
The value of a in the equation is 10
The root of the equation is determined using the equation shown below:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
Given the quadratic equation ax^2+x-24=0;
a = ab = 1c = -24The product of the quadratic equation is c/a
Product = c/a
- 2 2/5 = -24/a
-12/5 = -24/a
-12a = 5 * -24
-12a = -120
a = 10
Hence the value of a in the equation is 10
Learn more about quadratic equation here: https://brainly.com/question/17210919
Compare to ax^2+bx+c
b=1c=-24a=aProduct of roots=c/a
ATQ
[tex]\\ \tt\hookrightarrow \dfrac{c}{a}=-2\dfrac{2}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{-24}{a}=\dfrac{-12}{5}[/tex]
[tex]\\ \tt\hookrightarrow \dfrac{24}{a}=\dfrac{12}{5}[/tex]
[tex]\\ \tt\hookrightarrow 12a=120[/tex]
[tex]\\ \tt\hookrightarrow a=10[/tex]
expand 7(2x+7). need help quickly if possible
Hello there! :)
To expand this expression, we have to use the Distributive Property, which states:
a(b+c)=ab+ac
7(2x+7)=14x+49
Hence, 14x+49 is the expression (Answer)
Hope it helps you!
~A lonely teen who helps others and listens to her favourite song "How Far I'll Go
-Grace ;-)
Good luck.
7 (2x + 7)
= (7 × 2x) + (7 × 7)
= 14x + 49
_____
Hope it helps ⚜
Grocery Store A is selling bananas for $0. 75 for 12 pound. Grocery Store B is selling 5 pounds of bananas for $3. 75. Which store is offering the best unit rate? Show your work.
The store is offering the best unit rate is Grocery Store A.
The store with the lower unit rate offers the best rate. The unit rate is the total cost divided by the pound of bananas sold.
unit rate = cost / pounds
Unit rate of Grocery Store A: $0.75 / 12 = $0.0625
Unit rate of Grocery Store B: $3.75 / 5 = $0.75
Comparing the unit rates of both stores, Grocery Store A offers a lower unit rate.
A similar question was answered here: https://brainly.com/question/20197796
please help for brainliest
Answer:
84 and 144
Step-by-step explanation:
If the two numbers are a and b and their LCM is x and their HCF is y then there is a rule that is a×b=x×y
in this case:
a×b=x×y
a×b=(504)×(24)
a×b=12096
when finding factors of 12096 that are between 60 and 160, we can see that 84 and 144 is the best pair.
hope this helps! :D
have a miraculous day!! <3
Solve the Math problem
Answer:
1. Becky, 2. No one, 3. Brian and Carol, 4. Tom, 5. Jake
Step-by-step explanation:
The order has to be Brian, Tom, Jake, Becky, and Carol.
1. Becky
2. No one
3. Brian and Carol
4. Tom
5. Jake
the equation above models h, the height of a firework shell in feet, t seconds after launch. what is the height in feet, of the firework shell 2 seconds after launch?
Write and solve an equation for the following:
Answer:
x = (180 - [71 + 9]) ÷ 2
Step-by-step explanation:
71 + 9 = 80
180 - 80 = 100°
100° ÷ 2 = 50°
Pleaseeeeee I need help!
THANK YOU
[tex] \: \: \: \: \: \: \: [/tex]
[tex] \frac{3}{10} \\ \\ or \: in \: alternate \: \: form \\ \\ 0.3[/tex]
refer to the attachment for explanationhope it helpsSimplify 3a(2a+7)-2a²
I
Table for a linear equation
Fill in the table using this function rule.
y = 5x-2
X
y
Х
?
- 1
0
1
2
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
what is the sum of x+8
Answer:
8 + x
Step-by-step explanation:
you can't combine unlike terms so the equation remains the same, but you should always put integers before variables and coefficients
Solve the equation 6(2x+4)^2=(2x+4)+2 a x=-5/3 or -9/4
Answer:
x=5/3
Step-by-step explanation:
Answer:
-5/3 or -9/4 is the answer
Step-by-step explanation:
Just completed it
How would you graph the solution set of x - 2 > 5?
Open circle on 7 and shaded to the right.
Closed circle on 7 and shaded to the right.
Open circle on 7 and shaded to the left.
Closed circle on 7 and shaded to the left.
open circle on 7 shaded to the right
1) The length of a rectangle is 5 feet more than 3 times its width. If the area is 182
square feet, find the length of the rectangle. If necessary, round to the tenths
place.
Answer:
answer is attached on the photo
If anyone knows how to do this please help, its for a test and I have to finish the course by 11:59 tonight
what is 100 over 2 simplifided
Answer:
50
Step-by-step explanation:
Please fast as possible.
2 sin A = √3
=》sin A = √3/2
■ If sin A = √3/2, then A = 60° (trigonometric value)
So,
cot A = cot 60° = 1/√3
1 - cot²A / 2 cot A
= 1 - (1/√3)² / 2*(1/√3)
= 1 - (1/3) / 2/√3
= 2/3 / 2/√3
= 2/3 / 2√3/3
Cancel out the 3 in the denominator.
= 2/2√3
= 1/√3
1 - cot²A / 2 cot A = 1/√3
_____
● See the attachment for the trigonometric values.
Hope it helps ⚜
Answer:
√3/3Step-by-step explanation:
2 sinA = √3 ⇒ sinA = √3/2Rewrite as:
(1 - cot²A)/2cotA = (1 - cos²A/sin²A)/(2cosA/sinA) = sinA[(sin²A - cos²A)/sin²A] / (2cosA) =(2sin²A - 1)/(2sinAcosA) = (2sin²A - 1)/[2sinA√(1 - sin²A)]Substitute the value of sinA:
(2(√3/2)² - 1) / [√3 √{1 - (√3/2)²)] =(3/2 - 1)/[√3√(1/4)] =(1/2) /(√3/2) = 1/√3 = √3/3Please help!! markup and markdown word problems.
1. Kathy buys a bicycle after a 30% markdown. The original price was $490.00. What did she pay?
2. Emily buys a toaster during the sale for 10% off. If Ellen pays &36, what was the original price?
Answer:
1) $343
2) $40
Step-by-step explanation:
1) Kathy paid (100 - 30)% of 490
so we can multiply 490 by 70%
490 x .7 = 343
2) let 'x' = original price
if she's saving 10% (or .10) then she's paying 90% (or .90)
.9x = 36
x = 36/.9
x = 40
What is the range of function g?
Answer:
C
Step-by-step explanation:
This function starts at point (1, 2), so 2 is inclusive. Therefore the range of this function is:
[tex]y \geq 2[/tex]
you and your friend are both saving your allowance for summer vacation. You start with $50.50 in the bank, and your allowance is $8.50 per week. Your friend starts with $8.00 in the bank, and they get twice as much for allowance. After how many weeks do you have the same amount of money
Answer:
5
Step-by-step explanation:
17+8+17+17+17+17=93
8.50+50.50+8.50+8.50+8.50+8.50=93
Consider the graph.
Which function best represents the distance remaining, in miles, after
x
minutes?
f
(
x
)
=
10
7
x
+
35
f ( x ) = 10 7 x + 35
f
(
x
)
=
7
10
x
+
35
f ( x ) = 7 10 x + 35
f
(
x
)
=
−
7
10
x
+
35
f ( x ) = − − 7 10 x + 35
f
(
x
)
=
−
10
7
x
+
35
f ( x ) = − − 10 7 x + 35
Answer:
X=5
The factors of x^2 + 2x - 35 are
(X-5) (x+7)
Set x equal to zero & solve
X-5=0
X=5
Step-by-step explanation:
You are running a fuel economy study. One of the cars you find is blue. It can travel 44 1/2miles on 1 and 1/4 gallons of gasoline. Another car is red. It can travel 27 1/5 miles on 4/5 gallon of gasoline. What is the unit rate for miles per gallon for each car? Which car could travel the greater distance on 1 gallon of gasoline?
Answer:
Blue carStep-by-step explanation:
Find the miles per gallon rate of each car
Blue car:
44 1/2 ÷ 1 1/4 = 89/2 ÷ 5/4 = 89/2 × 4/5 = 356 / 10 = 35.6 miles per gallonRed car:
27 1/5 ÷ 4/5 = 136/5 × 5/4 = 136/4 = 34 miles per gallonAccording the rates, the blue car could travel the greater distance
Yesterday, jack drove 28 1/2 miles. He used 1 1/4 gallons of gasoline. What is the unite rate for miles per gallon?
Answer
MPG= 30 4/5 or 30.8 is I think is the answer.
Which ordered pair is a solution to the equation? 3x-4y=13
A, (3, 1)
B. (3, -1)
C. (-1, 3)
D. (1, 3)
Need asap (will give brainliest to the best answer*
The number 46 is more than the number of situps Lyle can do. which of the following inequalities represent the number of situp Lyle can do?
A X< 46
B X>46
C X = 46
D X= 45
The answer is A since the tip of the triangle points to the smallest number
Answer:
a
Step-by-step explanation:
it says 46 is more than that cetain number
PLEASE HELP!! question in picture
Answer:
you speak English or Espanol? I dont wanna answeri with the wrong language
help with my math READ IT CARFULLY
Sci = π . 2 . 2 = 12,56 ⇒ 1/2 Sc1 = 1/2 . 12,56 = 6,28
Srec = 6 . 4 = 24
S= 6,28 + 24 = 30,28
the answer is 30,28
ok done. Thank to me :>