Step-by-step explanation:
1. 6(5)^2-1/(5)^2 = 149/25
2. 6(-5)^2-1/25 = -150/25
3. 6x^2-2/x^2
Answer:
[tex]1) \huge\boxed{ \sf f(5) = 5 \frac{24}{25} }[/tex]
[tex]2) \huge\boxed{ \sf f(-5) = 5\frac{24}{25} }[/tex]
[tex]3) \huge\boxed{\sf f(-x) = \frac{6x^2-1}{x^2} }[/tex]
Step-by-step explanation:
[tex]\displaystyle f(x) = \frac{6x^2-1}{x^2}[/tex]
For f(5):
Put x = 5
[tex]\displaystyle f(5) = \frac{6(5)^2-1}{(5)^2} \\\\f(5) = \frac{6(25)-1}{25} \\\\f(5) = \frac{150-1}{25} \\\\f(5) = \frac{149}{25} \\\\f(5) = 5 \frac{24}{25}[/tex]
For f(-5):
Put x = -5
[tex]\displaystyle f(-5) = \frac{6(-5)^2-1}{(-5)^2} \\\\f(-5) = \frac{6(25)-1}{25} \\\\f(-5) = \frac{150-1}{25} \\\\f(-5) = \frac{149}{25} \\\\f(-5) = 5\frac{24}{25}[/tex]
For f(-x):
Put x = -x
[tex]\displaystyle f(-x) =\frac{6(-x)^2-1}{(-x)^2} \\\\f(-x) = \frac{6x^2-1}{x^2} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1
Base case: if n = 1, then
1² - 1 = 0
which is even.
Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.
Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have
(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1
… = (k ² - k) + 2k
… = 2m + 2k
… = 2 (m + k)
which is clearly even. QED
How do we show 425/1000 as a decimal?
Answer:
0.425
Step-by-step explanation:
bro this is like 1st grade math
write the simplest form 1/6 + 2/3 + 3/4
Answer: The answer is 1 7/12
what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x
This is college? Woah I'm not advanced. Middle school!
447,077 is ____________________then 347,077.
Fill in the blank.
447,077 is greater than 347,077
447,077 greater than 347,077 by 100,000
447,077-347,077= 100,000
I can list more if you want! I hope I've helped!
Prove: [tex]\frac{a}{b}[/tex] = \frac{c}{d}[/tex], then[tex]\frac{a+b}{b} = \frac{c+d}{d}[/tex]. show work pls :)
Step-by-step explanation:
[tex]\dfrac{a}{b} = \dfrac{c}{d}[/tex]
Add 1 to both sides of the equation:
[tex]\dfrac{a}{b} + 1 = \dfrac{c}{d} + 1[/tex]
Note that
[tex]\dfrac{a}{b} + 1 = \dfrac{a + b}{b}[/tex]
Likewise,
[tex]\dfrac{c}{d} + 1 = \dfrac{c + d}{d}[/tex]
Therefore,
[tex]\dfrac{a + b}{b} = \dfrac{c + d}{d}[/tex]
Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form
9514 1404 393
Answer:
y -2 = 1/4(x +3)
Step-by-step explanation:
Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.
__
The slope of the given line can be found as the ratio of rise to run between the marked points.
m = rise/run = -8/2 = -4 . . . . counting grid squares
The desired line has a slope that is the opposite reciprocal of this:
m' = -1/m = -1/-4 = 1/4
The point-slope equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
Then the desired line with slope 1/4 through point (-3, 2) has equation ...
y -2 = 1/4(x +3)
Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2
Answer:
-2
Step-by-step explanation:
9 - [4^2 - (3 + 2)]
PEMDAS says parentheses first
Working from inside out
9 - [4^2 - (5)]
9 - [16 - (5)]
9 - [11]
Subtract
-2
Step-by-step explanation:
hope it is visible and makes sense
:)
Help solve please due tomorrow, thanks. 3x − 5 = 2x + 2
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
3x − 5 = 2x + 2[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
[tex] \large \sf \: 3x - 5 = 2x + 2[/tex]
Subtract 2x from both sides.
[tex] \large \sf \: 3x-5-2x=2 [/tex]
Combine 3x and -2x to get x.
[tex] \large \sf \: x-5=2 [/tex]
Add 5 to both sides.
[tex] \large \sf \: x=2+5 [/tex]
Add 2 and 5 to get 7.
[tex] \large{ \boxed {\bf \: x=7 }}[/tex]
Algebra Please Help!!
Answer:
c = 5/9 (F-32)
F-32 = c ÷ (5/9)
F-32 = c × (9/5)
F-32= 9c/ 5
F= (9c/5) + 32
I hope I helped you^_^
On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?
Answer:
[tex]17 \frac{1}{3} [/tex]
Step-by-step explanation:
1/3 pound = 5.333 ( 5 1/3 ) ounces
3/4 pound = 12 ( 12 ) ounces
When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?
A.
180°
B.
270°
C.
360°
D.
540°
Answer:
C. 360°
Step-by-step explanation:
Two pairs form a complete angle with a sum of 360°.
(18 - 3)2 = ?
show your work
help me pls ty
Answer: 30
Step-by-step explanation:
18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.
Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))
Answer:
-16x-28
Step-by-step explanation:
h(x+1)= 4(x+1)+3 = 4x+7
g(h(x+1))= -4[4x+7] = -16x-28
What is the value of the expression?
3 * [(2 * 6 - 5) + (8 divided by 4)] - 1
A. 9
B. 11
C. 26
D. 32
Show Work!
[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]
Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?
Answer:
2.5 hours
Step-by-step explanations:
22.5/9 = 2.5
Hope this helps! :D
1 1/4 cups of flour per 1/8 cup of butter what is the unit rate
Answer:
10 cups of flour per cup of butter
Step-by-step explanation:
1.25 cups of flour per 1/8 cup of butter
1 ÷ 1/8 = 8
1.25 * 8 = 10
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005
Answer:
0.01Step-by-step explanation:
0.01 is the largest decimal in the pair of 0.01 and 0.005
Which expression is equivalent to the given expression? 2x^2-14 +24
Answer:
Equivalent expression is (x - 4)(x - 3)
Step-by-step explanation:
[tex] {2x}^{2} - 14x + 24[/tex]
find the factors:
[tex] = (x - 4)(x - 3)[/tex]
(2x-12)(x-2)
after multiplying you'll get the same
Determine if the following are functions of x.
(a) 5(y + 1)3 + x2 = 1
9514 1404 393
Answer:
is a function
Step-by-step explanation:
The graph passes the vertical line test, so the relation is a function of x.
You buy 1.86 pounds of ground beef 2,8
Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of
Please Help!!
Answer:
Explanation :
The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.
The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.
Hope this help
Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.
Answer:
The last one
Step-by-step explanation:
It doesn't make sense for that to be true
Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?
Answer:
It moves 6 to the right.
Step-by-step explanation:
21 -(-15) = 36
36+(-30)=6
The ratio of (blank) to the total is (blank)
Answer:
4:2 to the total is 6
Step-by-step explanation:
jus like that
Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)
Answer:
12x-36?
Step-by-step explanation:
well 4×3x and 9× 4 gives the answer
Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size
Answer:
to turn
Step-by-step explanation:
to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate
find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)
Answer:
9
Step-by-step explanation:
We know it has to be a multiply of 3
27 + 3 = 30 nat number
3/3 = 1 nat number
sq root 19 not nat number
27 + 9 = 36 nat number
9/3 = 3 nat number
sq root 25 = 5 nat number
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30
Answer:
the answer is 7+3(-4)(2)
Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)