f(-4) = 49.
49
Step-by-step explanation:
f(x) = (x - 3)²
f(-4) = (-4 - 3)²
f(-4) = (-7)²
f(-4) = 49
Blake and two friends equally shared the cups of water shown in the picture.
What fraction of the cups of water did each of them drink?
A
3
6
B
5
6
C
2
6
D
4
6
The fifth term of a non liner sequence is 324.The term to term rule is multiply 3
Work out the second term of the sequence
Answer:
324 642
Step-by-step explanation:
By what least number should 4851 be divided to get a perfect square number ? Also find the square root of the square number so obtained ?
Answer:
The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Step-by-step explanation:
Given number = 4851
It can be written as
4851 = 3×1617
4851 = 3×3×539
4851 = 3×3×7×77
4851 = 3×3×7×7×11
4851 = (3×3)×(7×7)×11
It is clear that We should divide the given number by 11 then we get a perfect square number.
4851/11 = 441
441 = 21×21
=> 441 = 21²
=> √441 = √(21²)
=> √441 = 21
Answer:-The least number should 4851 be divided to get a perfect square number = 11
The square root of the obtained perfect square number is 21
Used Method :-→ Prime Factorization Method
Answer:
11 is the least number and the when you take the square root of the number you get 21
Step-by-step explanation:
The easiest way to solve this problem is guess and check.
First of all, a perfect square NEEDS to be a WHOLE number
Since 4851 is odd, you cannot divide it by an even number evenly, as it would result in a number with a remainder or leftover decimal amount.
This means you cannot divide by 2, 4,8...etc
We just have to guess and check odd numbers starting at 3.
4581/ 3 = 1527 sqrt(1527) = 39.07684737 decimal so not this one
4581/ 5 = 916.2 decimal so not this one
4581/ 7 = 654.4285714 decimal so not this one
4581/ 9 = 509 sqrt(509) = 22.56102835 decimal so not this one
4581/ 11 = 441 sqrt(441) = 21
This is the first instance where 4581 is divisible by a number that yields a perfect square, so 11 is the least number and the square root of the result is 21.
How do you do this? Am I corrdct
Answer:
1/20 is the correct answer
Step-by-step explanation:
65/100 diet
30/100 caffeine
Of the 65/100, 22 are caffeine free but that is unnecessary info for the question. The 22 caffeine free would fall under the 65/100 anyways.
So 65 + 30 = 95
100-95 = 5
5/100 simplified is 1/20
Yes, you are correct . Since we know 65 sodas are diet and 30 are caffeine-free.
65 + 30 = 95
What plus 95 equals 100?
95 + x = 100
Or 100 - 95 = 5
= 5/100
When 5/100 is simplified, it equals 1/20.
What is 380.5 rounded to the nearest whole number
Answer:
It will be 381. You round up if it is five and over, and round down if 5 and below.
Step-by-step explanation:
A decimal cannot be a whole number so rounding to the nearest whole number means getting rid of the decimal. You do this by rounding up if it 5 and up, and rounding down if it is 5 and below. 380.5 means you would round up to 381. If it it were 380.4, you would round down to 380.
Answer:
381
Step-by-step explanation:
any number 5 and over will round up
help please, only look at the graphic
All I know is that it is acute and less than 51 degrees
Answer:
AOB is 39 degrees.
Step-by-step explanation:
Given that ∠DOE is 51 degrees we know that ∠AOE is 180 degrees as it is a straight line.
∠BOD is a right angle given the ∟symbol so therefore ∠BOD is equal to 90 degrees.
m∠DOE + m∠BOD = 141 degrees (because 51 + 90)
Therefore m∠AOB = 39 because 180 - 141 = 39
Straight angles are equal to 180! Hope this helped
Find the missing angle measures.
Y = 63
Z = ?
X = ?
Answer:
Step-by-step explanation:
y = 63 {Vertical angles are congruent}
y + z + 85 = 180 {Angle sum property of triangle}
36 + z + 85 = 180
z + 121 = 180
z = 180 - 121
z = 59
63 + x = 130 {External angle property of triangle}
x = 130 - 63
x = 67
Solve[tex]\frac{2}{3}[/tex](6x+30)=5(x+4)-2x
A: 6
B: O
C: All real numbers
D: No solution
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
Hi there!
[tex]\displaystyle\frac{2}{3} (6x+30)=5(x+4)-2x[/tex]
Distribute 2/3 and 5 into the parentheses:
[tex]4x+20=5x+20-2x[/tex]
Combine like terms:
[tex]4x-5x+2x=20-20\\-x=0\\x=0[/tex]
I hope this helps!
#18 You withdraw $35.59
from your bank account.
Your balance is now -$20.45.
Write and solve an equation
to find out how much was
originally in your bank
account.
Answer:
$15.14
Step-by-step explanation:
-20.45+35.59 or 35.59-20.45
15.14
9/10 - (1/8-3/10)= please help me through steps
Answer:
43/40 or 1 3/40
Step-by-step explanation:
9/10 - (1/8 - 3/10)
Remember, we have to solve what's in the parentheses first!
To find 1/8 - 3/10, we must find the least common multiple of the denominators, which is 8 and 10.
Let's list the multiples of 8 and 10
Multiples of 8: 8, 16, 24, 32, 40, 48, 56...
Multiples of 10: 10, 20, 30, 40, 50, 60...
We found a match! 40 is a multiple of both 8 and 10, so we can use that.
To make the denominator 40 for 1/8, we have to multiply both the numerator and denominator by the same number, and the denominator must equal 40 after.
So,
8 times what equals 40?
To make it easier, we can do 40 / 8, which is 5.
That means we multiply the denominator and numerator by 5, so we get 5/40 - 3/10.
If you do the same thing for 3/10, you get 12/40.
Our equation is much easier!
We can easily do 5/40 - 12/40, which is -7/40.
Now, we do 9/10 - (-7/40)
Remember, two minuses right next to each other make a plus!
Our equation is now 9/10 + 7/40.
If you do the least common multiple for 9/10, you get 36/40.
Finally, we do 36/40 + 7/40, which is 43/40.
If it's asking for a mixed number, it would be 1 3/40.
Therefore, 9/10 - (1/8 - 3/10) equals 43/40 or 1 3/40!
Hope this helped :)
can some one pls help me fill is the square pls help
Answer:
52, 21, 94
Step-by-step explanation:
y=3(14)+10
73=3x+10
63/3=21
y=3(28)+10
=94
Write an equation to represent eachrelationship. SOLVE THE EQUATION 6 less than three times a number equals eighteen.
Answer:
Equation = 3x - 6 = 18
Solving of equation =
x = 8
Step-by-step explanation:
let the number be x
Now let us first set an equation
less than means - subtraction
3x - 6 = 18
Now let us solve the equation and find the value of x
3x - 6 = 18
Transpose
3x = 18 +6
3x = 24
x = 24 ÷ 3
x = 8
Equation = 3x - 6 = 18
Solving of equation =
x = 8
Information: The length of a rectangle is three times the width. A new rectangle is created by decreasing the length of the original rectangle by 9 feet and increasing its width by 4 feet. The area of the new rectangle is the same as the area of the original rectangle. What is the perimeter of the new rectangle?
Help,please:(
Answer:
Hold on, our servers are swamped. Wait for your answer to fully load.
Step-by-step explanation:
Hold on, our servers are swamped. Wait for your answer to fully load.
find the equation of the straight line graph y= mx-6
Answer:
y = 1/2x - 6
Step-by-step explanation:
Key:
m = slope
b = y-intercept
Slope:
( 0 - - 6 ) / ( 12 - 0 )
( 6 ) / ( 12 )
1 / 2
y-intercept:
( -6, 0 )
Hopefully this helped!
Brainliest please?
What is the tangent ratio of angle y?
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Using Trigonometry :
[tex] \tan(y) = \dfrac{20}{21} [/tex][tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]
[tex]\\ \rm\Rrightarrow tany=\dfrac{JL}{KL}[/tex]
[tex]\\ \rm\Rrightarrow tany=\dfrac{20}{21}[/tex]
Which graph matches the equation ? 1 2 3 4 ? plzzzzzzzzzz help fast
Answer:
the 2nd one would be a good choice
A line passes through the points (-2,-4) and (3, 5). Which equation best represents a line
parallel to this line?
A) y = -5/9x+ 4
B) y = 9/5x + 4
C) y = 1x + 4
D) y = -4/3x + 4
The equation best represents a line parallel to the given line is y = 9/5x - 2/15.
What is the equation of line?The general equation of a straight line is
y = mx + c,
where m is the gradient, and y = c is the value where the line cuts the y-axis.
This number c is called the intercept on the y-axis.
Now it is given that the line passes through (-2,-4) and (3,5).
So here,
x1 = -2;
y1 = -4;
x2 = 3;
y2 = 5
Hence slope of the line is given as,
m1 = (y2 - y1)/(x2 - x1)
⇒ m1 = {5-(-4)}/{3-(-2)}
⇒ m1 = (5+4)/(3+2)
⇒ m1 = 9/5
Since both the lines are parallel, hence
m1 = m2 = 9/5
Therefore equation of line parallel to the given line will be,
(y - y1) = m2( x - x1)
⇒ {y-(-4)} = 9/5{x - (-2)}
⇒ y + 4 = 9/5(x +2)
⇒ y + 4 = 9/5x + 18/5
⇒ y = 9/5x + 18/5 - 4
⇒ y = 9/5x - 2/15
Hence, The equation best represents a line parallel to the given line is y = 9/5x - 2/15.
More about line :
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Jill sold 4 times as many pails as Jack last month. If together they sold 250 pails last month, how many pails did each person sell last month.
Provide the missing statement and reasons for the following proof: Given: 9(x+6)−41=75Prove: x=629
The missing statement for the proof is;
Statement 3;S3 : 9x + 54 = 116
The missing reasons for the proofs are;
R1; Given
R2; Using Addition property of inequality
R3; Distributive property
R4; Using subtraction property of inequality
R5; Using Division property of inequality
The correct question can be found at https://brainly.com/question/25052574
We are given the equation;
9(x + 6) − 41 = 75
Step 2;
Using addition property of equality, we add 41 to both sides;
9(x + 6) - 41 + 41 = 75 + 41
9(x + 6) = 116
Step 3;
Using distributive property to distribute 6 over the items in the bracket to get;
9x + 54 = 116
Step 4; Using subtraction property of equality, we subtract 54 from both sides;
9x + 54 - 54 = 116 - 54
9x = 62
Step 5; Using division property of equality, we divide both sides by 9 to get;
9x/9 = 62/9
x = 62/9
Read more at; https://brainly.com/question/25052574
simplify the following ??? reply me all off you
Answer:
29/8
You had to multiply and solve making lowest common multiple
Answer:
115/24
Step-by-step explanation:
first convert the mixed numbers to a whole fraction
then find the least common denominator which is 24
so 31 - 23 + 7 = 115/24
Need help photo above
Answer:
I think -1/3
Step-by-step explanation:
Its negative bc the line is moving from left to right
Take 2 points from the line.
At the origin, (0,0)
And (6,-2) a point in fourth quadrant
m = y2 - y1
x2 - x1
m = -2 - 0
6 - 0
m = -1/3.
The 3rd option is the correct option.
Solve -4(10 + 3x) - (x + 8) = -9. Check your solution.
Answer:
x = -3
Step-by-step explanation:
Given the equation, -4(10 + 3x) - (x + 8) = - 9:
Distribute -4 into (10x + 3x), and - 1 into (x + 8):
-4(10 + 3x) - (x + 8) = - 9
-40 -12x - x - 8 = -9
Combine like terms:
-48 - 13x = -9
Add 48 to both sides:
-48 + 48 - 13x = -9 + 48
-13x = 39
Divide both sides by -13:
[tex]\frac{-13x}{-13} = \frac{39}{-13}[/tex]
x = -3
Therefore, x = -3
Please mark my answers as the Brainliest if you find my solution helpful :)
Ann makes $132 for 11 hours. At the same rate, how much would she make fo 8 hours of work
Answer: She would make $96.00
find all of the zeros of
If f(x) = x3 + 13x2 + 32x + 20 and f(-10)=0
pls help with this problem !
Answer:
Step-by-step explanation:
Well you have one of the roots -- -10. Just by looking at it, -1 would seem to be another x intercept.
f(x) = (-1)^3 + 13(-1)^2 + 32(-1) + 20
f(x) = -1 + 13 - 32 + 20
f(x) = 0
So - 1 is also a root.
You should try -2
-2 * -10 - 1 = - 20
f(-2) = (-2)^3 + 13(-2)^2 + 32(-2) + 20
f(-2) = -8 + 13 * 4 - 32(2) + 20
f(-2) = - 8 + 52 - 64 + 20
f(-2) = -72 + 72
f(-2) = 0
The zeros are
x = -10
x = -1
x = -2
The cinema charges x dollars for an afternoon show and an additional $3.00 to
see the 3D version. Write an expression to show the cost of five regular tickets
and three 3D tickets. Simplify the expression.
Answer:
5x+3(x+3) = 5x+3x+9 = 8x+9
6x – 3y = 8
7x = 5y + 2
—6у + 4х = 8
x + y = 2x + 3
DIRECTIONS:Rearrange each equation into slope-intercept form. Identify the slope and y-intercept
Answer:
Step-by-step explanation:
The linear equation where:
[tex]\large \boldsymbol {} \sf y=\underbrace{m}_{slope }x \ +\underbrace{b} _{y -intersept}[/tex]
Solution :
[tex]\displaystyle \sf \#13. \\\\ 6x-3y=8 \\\\\ -3y=8-6x \\\\y=-\frac{8-6x}{3} \\\\ \boxed{\sf y=2x-2\frac{1}{3} }} \\\\ slope =2 \\\\ y-intersept =-2\frac{1}{3} \\\\-------------[/tex]
[tex]\sf \#14 . \\\\\\ 7x=5y+2 \\\\5y=7x-2 \\\\y =\dfrac{7x-2}{5} \\\\ \boxed{\sf y=1,4x-0,4} \\\\slope = 1,4 \\\\y-intersept =-0,4 \\\\---------------[/tex]
[tex]\dispalystye \sf \#15. \\\\ -6y+4x=8 \ |\div2 \\\\-3y+2x=4 \\\\ y=-\dfrac{4-2x}{3} \\\\ y=\boxed{\sf \frac{2x-4}{3} } \\\\slope = \dfrac{2}{3} \\\\ y-intersept = -\dfrac{4}{3 }\\\\ -----------------[/tex]
[tex]\sf \#16 .\\\\ x+y=2x+3 \\\\y=2x-x+3 \\\\\boxed{\sf y=1\cdot x+3} \\\\slope =1 \\\\y-intersept =3[/tex]
Solve and explain: (7^-2)^3
First, do -2 x 3
and that will equal -6,
so your answer will be 7^-6
if you also want to solve 7^-6
it will be.... (Look at the photo)
__________
[tex] \: [/tex]
[tex]({7}^{ - 2} ) {}^{3} = ...[/tex]
[tex] = {7}^{ - 2 \times 3} [/tex]
[tex] = {7}^{ - 6} [/tex]
[tex] = \frac{1}{ {7}^{6} } [/tex]
[tex] = \bold{\frac{1}{117.649}} [/tex]
what does x equal in the equation
-4(x-1) + 6x = 2(17-x)
Step-by-step explanation:
since -4(x-1) + 6x = 2(17-x) [expand the bracket]
⇒ -4x +4 + 6x = 34 - 2x [group like terms across the equal sign]
⇒ -4x + 2x + 6x = 34 - 4 [simplify like terms]
⇒ 4x = 30 [divide both sides by 4]
⇒ x = ³⁰/₄ [simplify RHS to lowest possible fraction]
⇒ x = ¹⁵/₂Check:
-4((¹⁵/₂) - 1) + 6(¹⁵/₂) = 2(17-(¹⁵/₂))
19 = 19 ✅
Trinity has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces. What is the length of each piece of ribbon?
The length of each piece be 3.25 inches.
What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.We have Trinity who has 48.75 inches of ribbon. She cut the ribbon into 15 equal-sized pieces.
Assume that the length of each piece be [x]. Then, we can write -
15x = 48.75
x = 48.75/15
x = 3.25 inches
Therefore, the length of each piece be 3.25 inches.
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find the unknown angle
Answer:
X&Y
Step-by-step explanation:
simple
very nice questions
Answer:
d: x equals 50 degrees and y equals 90 degrees
Step-by-step explanation:
thats the answer for the first one