Answer:
E(-3,4) and F(2,9)
Step-by-step explanation:
If we plug in for x to see what we get for y:
(1,8):
y = 2(1)^2+ 3(1) - 5
y = 2 + 3 - 5
y = 0
This is wrong.
(-5,10):
y = 2(-5)^2 + 3(-5) -5
y = 50 - 15 - 5
y = 30
This is wrong.
(3,6):
y = 2(3)^2 + 3(3) - 5
y = 18 + 9 - 5
y = 22
This is wrong.
(-3, 4):
y = 2(-3)^2 + 3(-3) - 5
y = 18 - 9 - 5
y = 3
This is correct!
Lets check the last one...:
(2,9):
y = 2(2)^2 + 3(2) - 5
y = 8 + 6 - 5
y = 9
This is also correct!
So your right answers are:
E and F!
Hope this helps! :D
Given that y is inversely proportional to the square of (x+1),
(a) Express y in terms of x and k, where k is a constant.
(b) Given that x=4 when y=2, find an equation connecting y to x.
(c) Hence, find the value of x when y = 4.
[tex]\\ \sf\longmapsto y\propto \dfrac{1}{(x+1)^2}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{k}{(x+1)^2}[/tex]
[tex]\\ \sf\longmapsto y=\dfrac{k}{x^2+2x+1}[/tex]
#2
Put x=4
[tex]\\ \sf\longmapsto 2=\dfrac{k}{x^2+2x+1}[/tex]
[tex]\\ \sf\longmapsto 2x^2+4x+2=k[/tex]
[tex]\\ \sf\longmapsto 2(x^2+2x+1)=k[/tex]
[tex]\\ \sf\longmapsto x^2+2x+1=k[/tex]
Put x=4[tex]\\ \sf\longmapsto 16+8+1=k[/tex]
[tex]\\ \sf\longmapsto k=25[/tex]
Put in equation[tex]\\ \sf\longmapsto y=\dfrac{25}{x^2+2x+1}[/tex]
#3
y=4
[tex]\\ \sf\longmapsto x^2+2x+1=\dfrac{25}{4}[/tex]
[tex]\\ \sf\longmapsto x^2+2x+1=25/4-1=21/4[/tex]
[tex]\\ \sf\longmapsto x(x+2)=21/4[/tex]
[tex]\\ \sf\longmapsto x=21/4\:or 13/4[/tex]
A pyramid has a square base with sides. The height of the pyramid is that of its side. What is the expression for the volume of the pyramid?
Answer:
The answer is E.
this is a question of algebraic expressions
Answer:
p = 2a + 2b
Step-by-step explanation:
The perimeter p is the sum of the 4 sides , then
p = a + a + b + b = 2a + 2b
The credit remaining on a phone card is a linear function of the total calling time made with the card( in minutes). The remaining credit after 34 minutes of calls is $25.58, and the remaining credit i go after 48 minutes of calls is $23.76. What is the remaining credit after 50 minutes of calls
Answer:
23.5
Step-by-step explanation:
(23.76-25.58)/(48-34) = -0.13
-0.13 * 2 = -0.26
23.76 - 0.26 = 23.5
Sean bought 1.8 pounds of gummy bears and 0.6 pounds of jelly beans and paid $10.26. He went back to the store the following week and bought 1.2 pounds of gummy bears and 1.5 pounds of jelly beans and paid $15.09. What is the price per pound of each type of candy?
Answer:
1 pound of gummy bears = $3.20
1 pound of jelly beans = $7.50
Step-by-step explanation:
1.8 pounds of gummy bears + 0.6 pounds of jelly beans
= $10.26
1.2 pounds of gummy bears + 1.5 pounds of jelly beans
= $15.09
2.5 × (1.8 pounds of gummy bears + 0.6 pounds of jelly beans) = 2.5 × $10.26
--> 4.5 pounds of gummy bears + 1.5 pounds of jelly beans = $25.65
(4.5 pounds of gummy bears + 1.5 pounds of jelly beans) - (1.2 pounds of gummy bears + 1.5 pounds of jelly beans) = 3.3 pounds of gummy bears
3.3 pounds of gummy bears
= $25.65 - $15.09
= $10.56
1 pound of gummy bears
= $10.56 ÷ 3.3
= $3.20
1 pound of jelly beans
= [$10.26 - ($3.20 × 1.8)] ÷ 0.6
= $4.50 ÷ 0.6
= $7.50
Directions: Directions: Identify x1, x2, y1, and y2. Solve for the of the line passing through the given points. Identify if the slope is positive, negative, zero, or undefined.
1.(2,1) and (5,3)
2.(-2,1) and (1, -3)
3.(4,1) and (5,1)
4.(7,-1) and (7,5)
5.(-2,1) and (3,6)
Step-by-step explanation:
Number 1
m = (y2 - y1)/(x2 - x1)
m = (3 - 1)/(5 - 2)
m = 2/3 POSITIVE
Number 2
m = (y2 - y1)/(x2 - x1)
m = (-3 - 1)/(1 + 2)
m = -4/3 NEGATIVE
Number 3
m = (y2 - y1)/(x2 - x1)
m = (1 - 1)/(5 - 4)
m = 0/1
m = 0 ZERO
Number 4
m = (y2 - y1)/(x2 - x1)
m = (5 - 1)/(7 - 7)
m = 4/0
m = UNDEFINED
Number 5
m = (y2 - y1)/(x2 - x1)
m = (6 - 1)/(3 + 2)
m = 5/5
m = 1 POSITIVE
HELPP YALL! ILL MARK BRAINIEST!!! LOOK AT PICTURE!!!
Answer:
x=11
y=118
Step-by-step explanation:
pls can i have brainliest if im right
Answer:
x = 34°
y = 118°
Step-by-step explanation:
As ∠y and 62° are on the same line but lines P and Q are parallel to each other, they both add up to 180:
y + 62 = 180
y = 180 - 62
y = 118°
As this angle and 4x - 18 are corresponding angles, they both equal the same so:
4x - 18 = 118
4x - 18 + 18 = 118 + 18
4x = 136
[tex]\frac{4x}{4} = \frac{136}{4}[/tex]
x = 34°
Hope this helps!
plz help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Step-by-step explanation:
Use DESMOS to plot both lines (attached).
If you make your own lines on the graph paper, pick two points for each line and connect them with a ruler. Both are straight lines, so we only need two points.
Pick any two values of x and solve each equation for y. I picked x = 1 and 3
EQ1: y=2x-2
EQ2: y=-x+4
Value of y EQ1 EQ2
x =1 0 3
x =3 4 1
Plot the points (1,0) and (3,4) for EQ1.
Do the same for EQ2: (1,3) and (3,1)
The attached graph shows these points. Note that one can draw stright lines for both equations using only these two points.
Can someone help me, please?
Answer:
Inequality
[tex]-22<m<12[/tex]
Interval Notation
[tex](-22,12)[/tex]
Reasoning:
First of all, subtract nine on both sides.
[tex]| m + 5|<17[/tex]
Now make two equations
[tex]|m+5|=-17[/tex]
[tex]m=-22[/tex]
[tex]|m+5|=17[/tex]
[tex]m=12[/tex]
Now you can make an inequality for m:
[tex]-22<m<12[/tex]
IF YOU ANSWER I WILL BRAINLIST YOU!!!!!!!
Jane works at a high-end jewelry store. She earns an hourly wage of $10.50, plus a 6% commission on any item she sells. One weekend, Jane works for 5 hours on Saturday and 9 hours on Sunday. She sells $650 worth of jewelry. How much money does she earn that weekend?
Answer:
$186
Step-by-step explanation:
hourly wage: $10.50/hour
commission: 6%
5 hours + 9 hours = 14 hours
14 hours × $10.50/hour = $147
6% of $650 = 0.06 × $650 = $39
total: $147 + $39 = $186
tony purchases a pair of jeans for 45.49 before tax the jeans were originally priced at 69.99 what was the percent discount a 35% Bn20% C 65% and D 80% pls help
Answer:
dream is better
Step-by-step explanation:
A convenience store purchased a magazine and marked it up 100% from the original cost of $2.30. A week later, the store placed t
Corrine ran 4 miles in 28 minutes yesterday and
5 1/2 miles in 32 minutes
todoy Did she run
foster today or
yesterday?
Answer:
Step-by-step explanation:
First things first, you need to find out how many minutes it took Corrine to run one mile each day. To do this, you divide 4 by 4 and 28 by 4
4 ÷ 4 = number of miles
4 ÷ 4 = 1 mile
28 ÷ 4 = number of minutes for one mile
28 ÷ 4 = 7 minutes for one mile
Next, you need to divide 5.5 by 5.5 and 32 by 5.5
5.5 ÷ 5.5 = number of miles
5.5 ÷ 5.5 = 1 mile
32 ÷ 5.5 = number of minutes for one mile
32 ÷ 5.5 = 5.81818181818
So, Corrine ran one mile in 7 minutes yesterday and ran one mile in 5.81818181818 today.
All in all, Corrine ran faster today than yesterday.
Hope this helps!
in a car park 2/3 of the cars are red
1/5 of the cars are blue
What fraction of the cars are red or blue ?
Answer:
13/15
Step-by-step explanation:
"Or" in probability means to add. Therefore, we would do 2/3 + 1/5:
First, we need a common denominator: 2/3 + 1/5 → 10/15 + 3/15 (I multiplied the first fraction by 5/5 and the second fraction by 3/3).
Now, we can add the numerators: 10/15 + 3/15 = 13/15.
Hope this helps!
write an equation of the line that passes through (-2, 3) and is arallel to the line y=2x-4
Answer:
y=2x+7
Step-by-step explanation:
you would substitute so x=-2 and y=3
All lines parralel always have the same x so
y=2x-c (c means crossing point of y)
then substitute
3=(2x-2)-c
3=-4-c
c= +7
so just put in the equation and the answer is:
y=2x+7
Hope this helps!!
Find the divers maximum height above the water if he dives from a 10 feet
platform with an initial velocity 64 ft/s. To earn 5 points write the formula,
value of t and h
Answer:
6/7/8.9
Step-by-step explanation:
ILLA
2. Miles makes $14 per hour but has to pay $55 for his cell
phone bill.
miles had to work 4 hours to pay his phone bills and he had 1$ left over
Answer:
i dont know
Step-by-step explanation:
what question are you asking?
Which of these are equal to 5? Select all that apply.
Answer:
5
Step-by-step explanation:
Kindly, your question is not compete and clear
What is the product of −2 1/2 and −3 1/3 pls asap
Answer:
-5/2 & -10/3
Step-by-step explanation:
For -2 1/2
as a decimal : -3.3
mixed number:-3 1/3
exact form: -5/2
for -3 1/3
as a decimal :-3.3
mixed number:-3 1/3
exact form:-10/3
What is the value of 4) in the function below?
f(x) = 1.2
O A. 4
ОВ. 2
O C. 8
O D. 16
Answer:
D. 16 i took the quiz trust me ok? ily stay safe queen
Step-by-step explanation:
Find the product of 2 1/3 × 3/5
Answer: exact form: 7/5
Decimal form: 1.4
Mixed form: 1 2/5
Step-by-step explanation:
Find the value of y to the nearest tenth.
Step-by-step explanation:
the easiest approach seems to be the law of sines :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the angles are always opposite of each other.
we have here a right-angled triangle, so the angle opposite of 10 is 90 degrees.
10/sin(90) = 10/1 = 10 = y/sin(37)
y = 10×sin(37) = 6.018150232 ≈ 6.0
If e
very day, Kim practices volleyball and clarinet. Each day, she practices volleyball for 2.5 hours. If after 8 days she practiced both volleyball and clarinet for a total of 36 hours, how many hours per day did Kim practice clarinet?
Answer:
2hours
Step-by-step explanation:
2.5×8
=20
36-20
=16
16/8
=2hours
i will give crown if answered right i just need to check my work
Answer:
9x(3x-2) (3x+2)
Step-by-step explanation:
[tex]81x^{3}-36x[/tex]
9(9x³ - 4x)
9x(9x² - 4)
Since both terms are perfect squares factor using the difference of squares formula, a² - b² = (a + b) (a - b)
Therefore, 9x(3x-2) (3x+2)
Answer:
81z^3-36z = 9z(3z-2)(3z+2)
Step-by-step explanation:
(81z^3-36z)=9z(9z^2-4)
9z(9z^2-4)=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
81z^3-36z=9z(3z-2)(3z+2)
pasagot please
answer it please
Answer:
Step-by-step explanation:
Let's start by looking at the graph of the two equations.
Since you are not looking for where the lines cross, I have chosen any 3 points for each equation almost randomly. I have not used either the x or y intercepts except once.
As a sample for the method of calculation
Let x -2y = 4
Let x = -2. Find y and put it in the table
-2 - 2y = 4 Add 2 to both sides
-2+2-2y = 4 + 2 Combine
-2y = 6 Divide by -2
y = 6/-2
y = - 3
Put that in the table under the first equation.
The other 5 points are done the same way.
Please help me , the question is in the image below
Answer:
not sure about this question
Step-by-step explanation:
not sure about this question
Use elimination to solve the system of equations,
5x - 6y = 11
-7x + 5y = 5
Answer:
x = -5
y = -6
Step-by-step explanation:
5x - 6y = 11
-7x + 5y = 5
We could eliminate the 'y' by multiplying the first equation by 5 and the second equation by 6 to get the following:
5(5x - 6y) = 11(5) → 25x - 30 y = 55
6(-7x + 5y) = 5(6) → -42x + 30y = 30
Now we can add the two equations to get:
-17x = 85
x = -85/17 which is x = -5
Now we can plug in -5 into the first equation to solve for 'y':
5(-5) - 6y = 11
-25 - 6y = 11
-6y = 36
y = -6
CHECK:
-7(-5) + 5(-6) should equal 5
35 + (-30) = 5
5 = 5
Solve the equation: [tex]x^{2} +5x+6=0[/tex]
I know [tex]x^{2} +5x+6=(x+3)(x+2)[/tex] (that was part a) but I don't know where to go from here!
Step-by-step explanation:
but then you did already the most work.
because just think : when is the expression
(x+3)(x+2) equal to 0 ?
only, if at least one factor of the multiplication is equal to 0.
you know, for example, 5×0 = 0, or 0×3 = 0.
that means either (x+3) or (x+2) must be 0.
x + 3 = 0
x = -3
and
x + 2 = 0
x = -2
and there you have it.
a quadratic equation (with the highest x exponent is 2) has 2 solutions for being 0.
and this one here has the 2 solutions
x = -3 and
x = -2
again, by finding the factors you did already the biggest and most difficult part yourself. congratulations !
Find the 71st term. 8, 14, 20, 26, ...
Answer:
The 71st term is 428.
Step-by-step explanation:
Use Arithmetic Explicit formula:
f(n) = f(1) + (n - 1) d
Solve:
f(71) = 8 + (71 - 1) 6
f(71) = 8 + (70) 6
f(71) = 8 + 420
f(71) = 428
In a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
assignment. What is the probability that a student who failed the test completed the
homework?
Answer:
n a math class with 26 students, a test was given the same day that an assignment
was due. There were 17 students who passed the test and 18 students who completed
the assignment. There were 15 students who passed the test and also completed the
Answer:
3/26
Step-by-step explanation:
Form a venn diagram. You can see that there are 3 students who failed the test but completed the homework.
Plz mark as brainliest
Yo help 20 points plssssssssssssss
Answer:
Up up up up up up up up up up
