Vertex form:
y = 5 (x - 1)^2 - 80
Standard Form:
y = 5x^2 - 10x - 75
DUE AT 8:15 I NEED THE ANSWER NOW
Answer: 47 inches
Step-by-step explanation:
Let x = length of the shortest piece
188 inches = 3x + x
188 inches = 4x
47 inches = x
Answer:
The shorter piece is 47 unches long
Step-by-step explanation:
l + s = 188
l = 3s
3s + 3 = 188
4s = 188
4s/4 = 188/4
s = 47
l = 3s
l = 3(47)
l = 141
find LCM of:
x2 - 9, 3x3 + 81
Answer:
[tex]\boxed{\pink{\sf (x + 3) \ is\ the \ LCM . }}[/tex]
Step-by-step explanation:
Given two expressions ,
[tex] \qquad (1)\: x^2 - 9 \\\\ \qquad (2)\:3x^3 + 81 [/tex]
And , we need to find the LCM , that is lowest common factor . So , let's factorise them seperately .
Factorising x² - 9 :-
[tex]= x^2 - 9 \\\\= x^2 - 3^2 \\\\ \red{= (x+3)(x-3)} \qquad\bf [Using \ a^2-b^2 = (a+b)(a-b) ][/tex]
Factorising 3x³ + 81
[tex]= 3x^3 + 81\\\\= 3(x^3+27) \\\\= 3( x^3+27) \\\\ = 3(x^3+3^3) \\\\ \red{= 3 [ (x+3)(x^2+9-3x) ] } \qquad \bf{[ Using \ a^3+b^3=(a+b)(a^2+b^2-ab) ] } [/tex]
Hence we can see that (x+3) is common factor in both expressions.
Hence the LCM is ( x+3 ) .
Evaluate u+xy for u=17 x=4 and y=8
Marcus want to determine how much water I'd needed to fill his pool. What measurement does he need to find?
a) The perimeter of the pool
b) the volume of the pool
c) the width of the pool
d) the area of the pool
Answer:
Answer should be b the volume
find the length of AB
Answer:
55?
Step-by-step explanation:
........................
Answer:
AB=55
Step-by-step explanation:
9x+1=7x+13
2x=12
x=6
9x+1=9(6)+1
55
6c-9d=111 5c-9d=103
how to solve this problem
Answer:
it is a simultaneous equation.
the -9d can be cancelled to find the answer
The requried solution of the given system of equations is c = 8 and d = -7.
What are simultaneous linear equations?Simultaneous linear equations are two- or three-variable linear equations that can be solved together to arrive at a common solution.
here,
Given a system of equations,
6c-9d=111 - - - - - (1)
5c-9d=103 - - - - -(2)
Solving the above two equations,
by subtracting 2 from 1|
c = 111 - 103
c = 8
Now,
6(8) - 9d = 111
d = - [111 - 48] / 9
d = -63 / 9
d = -7
Thus, the requried solution of the given system of equations is c = 8 and d = -7.
Learn more about simultaneous equations here:
https://brainly.com/question/16763389
#SPJ2
Which function represents exponential decay with 5% as the rate of decrease?
Answer:
The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex] ⇒ B
Step-by-step explanation:
The form of the exponential growth function is y = a [tex](1+r)^{x}[/tex]
The form of the exponential decay function is y = a [tex](1-r)^{x}[/tex]
a is the initial valuer is the rate of increase or decrease in decimal∵ The function represents exponential decay with 5%
→ By using the second rule above
∴ y = a [tex](1-r)^{x}[/tex]
∵ The rate of decrease is 5%
∴ r = 5%
→ Change it to decimal by dividing it by 100
∵ 5% = 5 ÷ 100 = 0.05
∴ r = 0.05
→ Substitute it in the equation
∵ y = a [tex](1-0.05)^{x}[/tex]
∴ y = a [tex](0.95)^{x}[/tex]
→ Look at the answer to find which equation is written in this form
∴ y = 50 [tex](0.95)^{x}[/tex]
∴ The function that represents exponential decay is y = 50 [tex](0.95)^{x}[/tex]
8 minus the sum of 5 and 43 divided by 8
helpppppp
it's not -5 i tried did not work
HELPPP
And its not 8.375
Answer:
-2.375
Step-by-step explanation:
43/8=5.375
5+5.375=10.375
8-10.375=-2.375
A circle centered at the origin has a radius of 5 units. The terminal side of an angle, , intercepts the circle in Quadrant 3 at point D. The x-coordinate of point D is -3, what is the value of sin θ?
Answer:
Step-by-step explanation:
add then subtact D from 3
X < -5. Help me agggg
Answer:
what do you need help with the answer is going to be anything under -6 for example -7, -8, -9, -6.5 something along those lines
Step-by-step explanation:
Alejandro's baseball album holds 3 baseball cards per page. If there are 8 pages in the album, how many baseball cards can it hold? Use the number line to help solve the problem. Write your answer in the post below.
Answer:
24
Step-by-step explanation:
Given that:
Baseball album holds 3 baseball cards per page
Number of pages in album = 8
3 baseball cards per page
Number of baseball cards album can hold
(Number of baseball cards per page * number of pages in album)
(3 * 8) = 24
Drag the simplified value into the box to match each expression.
23+1⋅4−3
20+10−4⋅2
3+52−6⋅4
Answer:
Step-by-step explanation:
9
3
4
Answer:
1. 9
2. 3
3. 4
Step-by-step explanation:
I have taken the test and got 100% on it so I hope this helped you!
joe is selling sweatshirts for 20% off the regular price of $25.00.
First term: 2 3/4 sixth term: 3 7/12 what is the rule
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Grace solved the equation 122=−58 122 = x - 58 . Her work is shown. What error did Grace make?
Answer:
[tex]122 = x - 58 \\ x = 122 + 58 \\ x = 180 \\ error = 0.5 \times {10}^{ - 3} \\ = 0.0005[/tex]
Answer:
Step-by-step explanation:
Grace should have added 58 to both sides of the equation instead of subtracting.
Don't steal points
its not cool
i WILL report
and also
answer this and u could have a chance to get brainliest
ill be asking 10 questions
whoever has the best answer in any of these ill give brainliest :D
Answer:
d = 50t
Step-by-step explanation:
In the table, the values across from each other are equivalent.
[tex]\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}[/tex]
By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:
d = 50t
The correct answer choice is d = 50t, or the 4th option.
Let me know if you have any questions!
solve:
5 x 1/8 thanks
Step-by-step explanation:
5/8 binod
be happy binod here's ur answer binod
Answer:
5/8
Step-by-step explanation:
For each point, identify the axis or quadrant where the point is located.
Drag and drop the choices into the boxes to complete the table.
HELP PLEAASSEE!
Answer:
(0,6) ==> y-axis
(5,-2) ==> Quadrant IV
(-1,10) ==> Quadrant II
(5,0) ==> x-axis
(8.7,2.3) ==> Quadrant I
[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]
= A triangle has sides of lengths 18, 24 and 30 units. What is the length of the shortest
altitude of this triangle? Express your answer as a common fraction.
Answer:
According to the Heron's formula, Area (A) of the triangle having sides a,b,c units is
A=
s(s−a)(s−b)(s−c)
where
s=
2
a+b+c
For the given triangle,
a=18 cm
b=24 cm
c=30 cm
s=
2
18+24+30
=36
A=
36(36−18)(36−24)(36−30)
A=
36×18×12×6
A=
216×216
=216 cm
2
Smallest side =18 cm
Area of the triangle =
2
1
×base×altitude=216
2
1
×18× altitude=216
Altitude =
9
216
=24 cm
Step-by-step explanation:
hope this will help
[tex]\boxed{\boxed{\pink{\bf \leadsto The \ length \ of \ shortest \ altitude \ is \ 2.4\sqrt{6} \ units . }}}[/tex]
Step-by-step explanation:Here given measure of sides are 18 , 24 and 30 units. Firstly let's find the area of ∆ using Heron's Formula.
[tex]\boxed{\red{\bf Area_{\triangle} =\sqrt{s(s-a)(s-b)(s-c)}}}[/tex]
Where s is semi Perimeter . And here s will be ( 18 + 24 + 30 ) / 2 = 36 units .
[tex]\bf \implies Area = \sqrt{s(s-a)(s-b)(s-c)} [/tex]
[tex]\bf \implies Area = \sqrt{ 36 ( 36 - 18)(36-24)(36-30)}[/tex]
[tex]\bf \implies Area = \sqrt{ 36 \times 18 \times 12} [/tex]
[tex]\bf \implies Area = \sqrt{ 6^2 \times 6\times 6 \times 2 \times 3} [/tex]
[tex]\bf \implies Area = 6^2\sqrt{6} unit^2 [/tex]
[tex]\bf \boxed{ \implies Area_{triangle} = 36\sqrt{6} units^2} [/tex]
Also we know that ,
[tex]\boxed{\red{\bf Area_{\triangle} = \dfrac{1}{2}\times (base)\times (height)}}[/tex]
Let's find the altitudes now ,
Altitude on side of 18 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 18 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{18} \\\\\boxed{\bf\implies h_1 = 4\sqrt6 units }[/tex]
Altitude on side of 24 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 24 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{24} \\\\\boxed{\bf\implies h_1 = 3\sqrt6 units }[/tex]
Altitude on side 30 units :-
[tex]\bf \implies Area = \dfrac{1}{2} \times (base)(height) \\\\\bf \implies 36\sqrt{6} unit^2 = \dfrac{1}{2} \times 30 \times h_1 = 36\sqrt{6} u^2 \\\\\bf\implies h_1 =\dfrac{ 36\sqrt6 \times 2 }{30} \\\\\boxed{\bf\implies h_1 = 2.4\sqrt6 units }[/tex]
Hence the lenght of shortest altitude is 2.4√6 units and its on the side of 30 units.It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school.
How long does it take Andre to walk to school?
please help!
What should be added to 8 to make them sum 0
Answer:
-8
Step-by-step explanation:
if you add negitive 8 to 8 then the sum will be 0
Answer:
-8
Step-by-step explanation:
when you add a negative number your basically subtracting its absolute value.
The time, in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this
equation
t = va
Which equation expresses din terms of tanda?
OA d = 2at?
OB.
OC. d =
= VA
OD. d = 1
Answer:
[tex]d=\dfrac{t^2}{a}[/tex]
Step-by-step explanation:
The time in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this equation.
t = va
We need to find the expression for d in terms of t and a.
As velocity = distance/time
[tex]t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}[/tex]
So, the distance d is [tex]\dfrac{t^2}{a}[/tex].
need the answer !!! pls
Answer:
i guess its b and d
Step-by-step explanation:
-2+2=0
Answer:
option B is correct
B and D
because B is -2 and D is 2
to make 0
we can combined that 2numbers then we got -2+2=0
Step-by-step explanation:
hope my answer is helpful to you
Belinda's dog had a litter of puppies. She is selling the puppies for $200 each. After 2 weeks, Belinda has 3 puppies left so she decides to reduce the sale price to $150 each. What is the percent decrease in price?
ps this is middle school 7th grade
Answer:
4,900
Step-by-step explanation:
Because i just know
Answer: 25%
Explanation:
1. Turn it into a fraction 150/200
2. Divide numerator (150) by denominator (200) to get 0.75
3. Subtract 0.75 from 1 to get 0.25
4. Turn 0.25 into a percentage by simply taking away the “0.” and adding a “%” at the end (25%)
The point (-7, 4) is reflected over the line x= -3. Then, the result point is reflected over the line y = x. Where is the point located after both reflections?
A. (-10, 7)
B. (1, 4)
C. (4, -7)
D. (4, 1)
Answer: D. (4, 1)
Step-by-step explanation:
When we have a reflection over a line, the perpendicular distance to that line is invariant.
Then, if we have the point
(-7, 4) and we have a reflection over the line x = -3
The distance between the x component and the line is:
I -7 - (-3)I = 4
Then the reflected point will also be at a distance of 4 units to the line x = 3, and this is at the point x = 1.
Then the new point is (1, 4)
Now we do a reflection over the line x = y.
This type of reflection just changes the x-component by the y-component, and the y-component by the x-component.
Then the new point will be (4, 1)
Then the correct option is D.
A concession stand owner has $195 to buy hotdogs. Each package of hotdogs cost $4. If the owner buys as many packages as
possible, how much money does he have leftover?
In a city the ratio of people who live in flats to the number that live in terraced houses is 3:2. The ratio of people who live in detached houses to terraced houses is 1:4. What is the ratio of people that live in flats:terraced houses:detached houses in its simplest form?
Answer:
1/2
Step-by-step explanation:
Answer:
8:12:3
Step-by-step explanation:
Flats:Terraced is 2:3
Detached:Terraced is 1:4
First make the Terraced the same.
Flats:Terraced is 8:12
Detached:Terraced is 3:12
Terraced:Detached is 12:3
Now that we know, we can combine it.
Flats:Terraced:Detached is 8:12:3
Hope this helps :D
4\7 equivalent fraction
Answer:
Hope it helpsssssss
Step-by-step explanation:
4/7, 8/14, 12/21, 16/28, 20/35, 24/42, 28/49, 32/56, 36/63, 40/70, and so on
what's six tenths divided by seven
Answer:
3/35
Step-by-step explanation:
Find each unit rate. Determine which is lower.
Brand A: 240 mg sodium for 1/3 pickle
or Brand B: 325 mg sodium for 1/2 pickle
Answer:
Brand A
Its easy
Mark as Brainliest.
Because I am Indian and solving your question from India.