Answer:
62 Pounds
Step-by-step explanation:
Sam weighs 57 pounds
he loses 4 pounds So he has 53 pounds now
then gains 9 pounds
53 + 9 = 62
Therefore Sam weighs 62 pounds
Drag each tile to the correct box. Complete the sequence for deriving the quadratic formula using the quadratic equation in standard form, .
Answer:
see the picture
Step-by-step explanation:
By the below figure (6) is the initial equation
(1) next added (b/2a)^2 on both sides to make it whole square on left side which gives (4) in (4) both terms are added on the right side to make it (5)
then square root on both sides gives (2) and now taking b/2a to the right side gives the final quadratic formula (3)
We can obtain the quadratic formula from completing the square method as shown.
The quadratic formula is derived from the completing the square method as follows;
Given the quadratic equation;
[tex]ax^{2} + bx + c =0[/tex]
Dividing through by a we have;
[tex]x^{2} + \frac{b}{a} + \frac{c}{a} = 0[/tex]
Adding half of b to both sides of the equation, we have;
[tex](x + \frac{b}{a}) ^{2} = \frac{-c}{a} + \frac{b^2}{4a^2}[/tex]
Taking LCM of the right hand side;
[tex](x + \frac{b}{2a})^{2} = \frac{b^2 - 4ac}{4a^2}[/tex]
Making x the subject of the formula;
[tex]x = \frac{-b + \sqrt{b^2 - 4ac} }{2a}[/tex]
Learn more: https://brainly.com/question/14283892
Is the expression a polynomial? If yes, write in standardform, if not state why not
1.
[tex]\frac{2x+3}{x^{2} }[/tex]
2.
[tex]2x+5x^{2} -99[/tex]
3.
[tex](\sqrt{8x^{3}}) +2x^{4}+2+x[/tex]
4.
[tex]15x+4x^{-2}[/tex]
5.
[tex]-3x^{4} +7x+12x^{2}[/tex]
Answer:
Step-by-step explanation:
1) Not a polynomial. Because x² is in the denominator.
2) Yes, it is a polynomial.
Standard form: 5x² + 2x - 99
3) Not a polynomial.
[tex]\sqrt{8x^{3}} = (8x^{3})^{\frac{1}{2}} = 8^{\frac{1}{2}}x^{\frac{3}{2}}[/tex] .
Power of x is a fraction. so , it is not a polynomial.
4) Power of x is (-2). Power of x should not be a negative integer. SO, it is not a polynomial.
5) Yes:
Standard form: -3x⁴ + 12x² + 7x
Which is greater, 2 to the fifth power or 5 squared?
Answer: 2^5
Step-by-step explanation:
2^5= 2x2x2x2x2=32
5^2=5×5=25
h(x)=2x^(2)
evaluate for h(3/2)
Answer:
hope it helps you.........
Mark is a plumber. He charges $28 per job plus S20 per hour. If the
total labor bill for a job was $58, how many hours did Mark work?
Answer:
He worked 1.5 hours
Step-by-step explanation:
58-28= 30
30/20 per hour
1.5
Here is a right angled triangle:
Work out the area of the triangle.
Answer:
6
Step-by-step explanation:
Answer:
The area is 6 because i add it and the divide it
the answer gzzydyyxggxggxxghyzyxycycgcycyc
Step-by-step explanation:
we start with the first and the third equations, as they have the same content structure.
we multiply the whole first equation by 2, so that the z terms become aligned, and then we add both equations :
-8x + 4z = 28
-2x - 4z = 22
--------------------
-10x + 0 = 50
x = -5
-2x - 4z = 22
-2×-5 - 4z = 22
10 - 4z = 22
-4z = 12
z = -3
y = x + z + 12
y = -5 - 3 + 12 = 4
Solve for n.
9 =
n
2
+ 7
n =
Answer:
9/n-2=7
We move all terms to the left:
9/n-2-(7)=0
Domain of the equation: n!=0
n∈R
We add all the numbers together, and all the variables
9/n-9=0
We multiply all the terms by the denominator
-9*n+9=0
We add all the numbers together, and all the variables
-9n+9=0
We move all terms containing n to the left, all other terms to the right
-9n=-9
n=-9/-9
n=1
Answer:
n = 1
Step-by-step explanation:
2 x 1 = 2
2 + 7 = 9
HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent
A.subsitiuting any value of x makes the expressions equivalent
B. Both expressions involve addition
C. The expressions name the same number regardless of the value of x
D. 2(x +1) can be rewritten as 2x + 2 using the distributive property
help me plsss
25% of __ is 7
25% = 25/100
25% of 28 is 7
~fractions
=====================
understand the steps below!
7 ÷ 25%
= 7 ÷ 25/100
= 7 × 100/25
= 7 × 4
= 28 ✔️
~ nice to help you ^^
Find the x
1/2x+3/4=x5/6
Answer:
[tex]x=\frac{9}{4}[/tex]
Step-by-step explanation:
Answer:
[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]
Step-by-step explanation:
[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]
Subtract x (5/6) from both sides:
[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]
Subtract 3/4 from both sides:
** Anything subtracted from zero gives its negation.**
[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]
Multiply both sides by -3, reciprocal of - 1/3
[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]
Express - 3/4 (-3) as single fraction:
[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]
Multiply -3 and -3 = 9
[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]
______________________________________
The graph of the function y = -2x + 4 is shown below.
If the line is translated 2 units up, which equation will best
describe the new line?
Answer:
y= -2x +6
Step-by-step explanation:
I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7
Answer:
hmmmmm
Step-by-step explanation:
Rewrite the following in ascending order.
(a) -3/8, 5/-12, -7/16, -13/18, 11/-24
Answer:
⇛-13/8 , -11/24, -7/16, -5/12 , -3/8
Step-by-step explanation:
Given numbers are -3/8 , 5/-12, -7/16, -13/18 , 11/-24
The can be written as -3/8, -5/12, -7/16, -13/18, -11/24
The denominators = 8,12,16,18,24
LCM of the denominators = 144
-3/8 = (-3/8)×(18/18) = -54/144
-5/12 = (-5/12)×(12/12) =-60/144
-7/16 = (-7/16)×(9/9) = -63/144
-13/18 = (-13/18)×(8/8) = -104/144
-11/24 = (-11/24)×(6/6) = -66/144
Ascending order of the numbers
= -104/144 , -66/144, -63/144, -60/144, -54/144
-13/8 , -11/24, -7/16, -5/12 , -3/8
Help me with this math question please.
Answer:
The second one : x + 90 + 61 = 180
Step-by-step explanation:
I hope this helps!
Let me know if you need the explanation.
help me please asap
Answer:
5/6
Step-by-step explanation:
2/
3
: 4/
5
= 2/
3
· 5/
4
= 2 · 5/
3 · 4
= 10/
12
= 2 · 5/
2 · 6
= 5/
6
Kindly solve and explain
[tex] \frac{{12}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{(3 \times 4) ^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{ {3}^{ \frac{1}{2} } \times {4}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = {3}^{ (\frac{1}{2} - \frac{3}{2}) } \times 2 ^{2 \times \frac{1}{2} } \\ = {3}^{ - \frac{2}{2} } \times 2 \\ = 3 ^{ - 1} \times 2 \\ = \frac{2}{3} [/tex]
Answer:[tex] \frac{2}{3} [/tex]
Hope it helps.
Do comment if you have any query.
What is the reason for #2?
A by AA
B Given
C Reflexive property
D Vertical Angles
Answer:
I am not sure but i will say C.
Step-by-step explanation:
The difference between 1/3 of a certain number and 1/4 of the same number is 3. what is that number?
Answer:
36
Step-by-step explanation:
(1/3)x - (1/4)x = 3
multiply by 12 to clear the fraction
4x - 3x = 36
x = 36
which expession represents the product of 3 and 7
3 × 7
i took the test
I basically just have to find the angles but I also want to understand so if you could explain?
9514 1404 393
Answer:
c = 108°
d = 106°
Step-by-step explanation:
There are 2 basic rules involved here. From them, a number of others can be derived in order to simplify some calculations.
angles forming a linear pair are supplementary (total 180°)interior angles of a triangle total 180°The derived relations we can use in this problem are ...
vertical angles are congruentan exterior angle of a triangle is equal to the sum of the opposite interior angles__
cThe vertical angle to 78° is one of two remote interior angles with respect to exterior angle c. The other is the one marked 30°. That means ...
c = 78° +30* = 108°
__
dAngles d and 30° are two of the three angles in the largest triangle. The third is the vertical angle to 44°, so it is 44°. The sum of angles in that triangle is 180°:
d + 30° +44° = 180°
d = 180° -74° = 106°
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
0.5 compared to 2/4 ??? PLEASE ANSWER . I really need help :(
Answer:
They are the same
Step-by-step explanation:
0.5 = 2/4
Half of 100 is 50
2/4 is half
please the answer and how i should write it
Answer:
86,400,000 bacteria
Step-by-step explanation:
2^5=32, 3^3=27, 10^5=100,000
32*27*100,000
Answer:
There are 86400000 bacteria in the Petri dish.
Step-by-step explanation:
Write in standard form:
[tex]2^{5}[/tex] = 2 x 2 x 2 x 2 x 2 = 32
[tex]3^{3}[/tex] = 3 x 3 x 3 = 27
[tex]10^{5}[/tex] = 10 x 10 x 10 x 10 x 10 = 100000
32 x 27 x 100000
= 86400000
hope this helps and is right!! p.s. i really need brainliest :)
can someone help me please
Answer:
#5) Its line “k”
Well to solve this you need to know what negative slopes are.
They decrease from height from left to right
And also a slope is always calculated like this
rise -> run
Think of it like a bed.
You have to wake up which means you have to rise and then you run to do whatever it is you gotta do.
Rise is going vertical and run is going horizontal.
So for line K you have it because since its negative its -3/1 so technically its -3 rise(basically fall since its negative), 1 run (right).
#6) 1/2 is the slope of line N. Or (c)
Well n is a potsive slope so we can automatically remove a and b.
And we can count like this, it started from the orgin it looks like (but you can use any given point really) and then just follow it, rise 1 and run 2. Rise 2 and run 3 doesn’t work so it has to be 1.2 or (c)
One year after you buy a tree, it is 10 feet tall. Each year after you buy the tree, it grows 2 feet. Write a linear model that represents the growth of the tree. How long does it take for the tree to reach its maximum height of 28 feet?
Please need help 20 points
tte corresponding angle is angle 5
PLEASE HELP ASAP GIVING BRAINLIEST
Answer:
brainliest mo munako
Step-by-step explanation:
bago answer pede maliwaag ba
You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?
9514 1404 393
Answer:
$94,473.31
Step-by-step explanation:
The multiplier in 25 years is ...
e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117
To have an account value of $200,000 in 25 years, you need to deposit now ...
$200,000/2.117 = $94,473.31
_____
When this amount is multiplied by 2.117, the result is 200,000.
Please help! I will give brainlist
