Answer:
√17 = q × q = q2
Step-by-step
The square root of 17 in mathematical form is written with the radical sign like this √17. We call this the square root of 17 in radical form. The square root of 17 is a quantity (q) that when multiplied by itself will equal 17.
Find the difference quotient for f(x) = 3x2 – 12.
_x+_h
The difference quotient for f(x) = 3x2 – 12 is 6x + 3h
How to determine the difference quotient?The function is given as:
f(x) = 3x^2 – 12.
Calculate f(x + h)
f(x + h) = 3(x + h)^2 – 12
The difference quotient is then calculated using:
[tex]f'(x) = \frac{f(x + h) - f(x)}{h}[/tex]
This gives
[tex]f'(x) = \frac{3(x + h)^2 - 12 - 3x^2 + 12}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{3(x + h)^2- 3x^2}{h}[/tex]
Expand
[tex]f'(x) = \frac{3x^2 + 6xh + 3h^2- 3x^2}{h}[/tex]
Evaluate the difference
[tex]f'(x) = \frac{6xh + 3h^2}{h}[/tex]
Evaluate the quotient
f'(x) = 6x + 3h
Hence, the difference quotient for f(x) = 3x2 – 12 is 6x + 3h
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TRY TO SOLVE
1/L , 1/M
are the two roots of the equation : 6X²- 5X+ 1 = 0,
find the equation whose roots are L and M
9514 1404 393
Answer:
x^2 -5x +6 = 0
Step-by-step explanation:
Perhaps the easiest way to do this is to find the roots of the given equation, then write the equation that has reciprocal roots. The given equation can be factored as ...
(2x -1)(3x -1) = 0 ⇒ roots 1/2, 1/3
Then the factoring of the equation with reciprocal roots is ...
(x -2)(x -3) = 0
x^2 -5x +6 = 0
_____
If p is a root, then (x -p) is a factor. If (ax -b) is a factor, then b/a is a root, the value of x that makes that factor zero.
can I have the answer for c pleaseee ASAP
Answer:
a) -1/3 b) 3 c) y=3x-10
Step-by-step explanation:
2(x-4)=3x-2
What is the value of x in this equation
Answer:
2x-8=3x-2
2x-3x=-2+8
-1x=6
X=6/-1
X=-6
What matrix results from −6·A?
Multiplying a matrix by a constant scales every entry in the matrix by that constant:
[tex]A=\begin{bmatrix}-3&5&2\\8&-1&3\end{bmatrix}\implies-6A=\begin{bmatrix}18&-30&-12\\-48&6&-18\end{bmatrix}[/tex]
Find the slope of the line that passes through:
(-4, 7) and (-6, - 4)
Answer:
[tex] \huge{ \bold{ \boxed{ \tt{ \frac{11}{2} }}}}[/tex]
Step-by-step explanation:
[tex] \text{Let \: the \: points \: be \: A\: and \: B} [/tex]
[tex] \text{A \: ( - 4 \:, 7 \: )} \longrightarrow \: \text{(x1 \:, y1)}[/tex]
[tex] \text{B \: ( \: - 6 \:, - 4 \: )} \longrightarrow \text{(x2 \:, y2)}[/tex]
[tex] \underline{ \text{Finding \: the \: slope} }: [/tex]
[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex]↣ \: \sf{slope = \frac{ - 4 - 7}{ - 6 - ( - 4)} }[/tex]
[tex] \underline{ \text{Remember}} : [/tex]
[tex] \text{ \: ( + ) * ( + ) = ( + )}[/tex][tex] \text{( + ) \: * \: ( - ) = ( - )}[/tex][tex] \text{( - ) \: * \: ( - ) = ( + )}[/tex][tex] \text{( - ) \: * \: ( + ) = ( - )}[/tex][tex] \sf{↣ \: slope \: = \: \frac{ - 4 - 7}{ - 6 + 4}} [/tex]
[tex] \underline{ \text{Remember}}: [/tex]
The positive integers are always added but posses the positive ( + ) sign.The negative integers always added but posses the negative ( - ) sign.The negative and positive integers are always subtracted but posses the sign of the bigger integer.[tex] \sf{↣ \: slope = \frac{ - 11}{ - 2} }[/tex]
[tex] \sf{↣ \: slope \: = \frac{ \cancel{ - } \: 11}{ \cancel{ - } \: 2} }[/tex]
[tex] \sf{↣ \: slope \: = \frac{11}{2} }[/tex]
[tex] \text{Hope \: I \: helped!}[/tex]
[tex] \text{Best \: regards!}[/tex]
~[tex] \text{TheAnimeGirl}[/tex]
18x + x = 8x - 20x
What kind of problem is this? (one solution, no solution, infinitely/many)
Answer:
no solution
Step-by-step explanation:
Answer:
its an infinitely/many
Step-by-step explanation:
Translate the sentence into an equation.
Seven times the sum of a number and 8 is 6.
Use the variable y for the unknown number.
Answer:
the answer is 7(y+8)=6 :)
If you were to describe a translation of triangle , what information would you need to include in your description?
1. If it rains on Friday, then the game is postponed.
how do i write the problem in symbolic form?
Answer:
"if it rains on friday then the game is postponed"...
Step-by-step explanation:
DF=55 DE=2x+8 EF=5x-2
what is X?
Answer:
x=7
Step-by-step explanation:
DF=DE+EF=2x+8+5x-2=55
7x=49
x=7
Write an expressions that is equivalent to 6c-2/2 +2c+11 in simplest form
Answer:
8c + 10
Step-by-step explanation:
Divide 2/2:
6c - 1 + 2c + 11
Then Collect Like Terms:
6c + 2c = 8c
-1 + 11 = 10
Final: 8c + 10
A waterwheel has a radius of 4 feet, and the center of the wheel is 1 foot under the waterline. You notice a yellow mark
at the top of the wheel. If the wheel rotates radians, how far above the water is the yellow mark?
With work quickly please!!
Answer:
2ft
Step-by-step explanation:
The measure of an angle is 66° . What is the measure of its complementary angle ?
Answer:
24º
Step-by-step explanation:
90-66 = 24º. So since complementary angles are 2 angles that add up to 90 degrees. That means that 66 + x = 90 using the information given. Then we use algebra and get that x =24. Therefore the answer is 24º.
Answer:
The supplement of 66° is the angle that when added to 66° forms a straight angle (180° ).
Step-by-step explanation:
A supplementary angle is an angle that equals 180°. So now we know that the two angles added together will give us 180°, we can use this to check at the end.
Let's call the smaller angle x
We also know that the larger number is 66° more than the smaller. This gives us:
x+x+66°=180°.
x is equal to the smaller angle, and the second angle is (x) - the smaller number with an extra 66°, giving us the difference.
Now we can simplify this by subtracting 66° from both sides.
please help i have 15 minutes
Answer:
D
Step-by-step explanation:
my math teacher just help me
i hope its right if its not sorry
Answer:
Step-by-step explanation: the 2 one
Jenifer bought 6 packages of hotdogs and 8 packages of rolls for $41.50. A package of rolls cost $0.85 less than a package of hotdogs. How much did each package of hotdogs cost?
Answer:
hotdogs 3.45
rolls 2.60
Step-by-step explanation:
6h + 8r = 41.5
r=h-.85
6h + 8(h-.85)=41.5
6h + 8h - 6.8 = 41.5
14h = 41.5 + 6.8
14h = 48.3
h=48.3/14
h=3.45
r=3.45-.85=2.6
Find the slope of the line passing through the points (-6, 2) and (-6, -1).
Answer:
3/0
Step-by-step explanation:
to find the slope use rise over run or y-y/x-x, in this case, 2-(-1)/-6-(-6)the negative and the subtraction sign cancel out resulting in something like this: 2+1/-6+6 equaling 3/0
I hope this helps have a nice day
What is 51/5*(-5) ?
Plz help with graph polynomial
Answer:
(x + 1 ) is a factor
Step-by-step explanation:
Given a polynomial with roots x = a, x = b , then the corresponding factors are
(x - a) and (x - b)
From the graph
The roots are x = - 1 and x = 4 , thus factors are
(x - (- 1)) and (x - 4) , that is
(x + 1) and (x - 4)
(x + 1) is the required factor
Evaluate 2p - 99 for p = 7 and g = 6.
The value of the expression is
Answer:
[tex](2 \times 7) - (9 \times 6) = - 40[/tex]
What is the slope of this graph
h(t) = t + 2 + 3; Find h(6)
h(6) = 11
Step-by-step explanation:Hi there !
h(t) = t + 2 + 3
= t + 5
replace t = 6
h(6) = 6 + 5
= 11
Good luck !
What is the measure of the indicated angle 103° ?
Answer:
77 degrees.
Step-by-step explanation:
180-103=77
Use the features you determined in part A to graph the line representing the equation 10x + 12y = 240.
Answer:
Step-by-step explanation:
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Answer:
Seconds in second row: 48Glasses in third row: 11Step-by-step explanation:
Answer for seconds in second row:
Set up a proportion: [tex]\frac{5}{20} = \frac{12}{x}[/tex] Cross multiply, then divide: 20 × 12 = 240, 240 ÷ 5 = 48Answer for glasses in third row:
Set up a proportion: [tex]\frac{5}{20} = \frac{x}{44}[/tex] Cross multiply, then divide: 44 × 5 = 220, 220 ÷ 20 = 11I hope this helps!
Find the product of the polynomials. (2x + 6)(3x − 2)
Answer:
6x^2 + 14x -12
Step-by-step explanation:
What is the prime factorization of 154?
2 × 7 × 11
2 × 7 × 13
2 × 5 × 11
2 × 5 × 13
Answer:
2 x 7 x 11
Step-by-step explanation:
lesson 5 mod1 answer key 7.1
Which expressions are equivalent to x+4 : when X=0? Select three options. X 4 3 3 2x2 + 4x WY x2 + 4x
Answer:
a,c,d
Step-by-step explanation:
Given the function g(x)=-x^2+6x+12g(x)=−x
2
+6x+12, determine the average rate of change of the function over the interval -3\le x \le 5−3≤x≤5.
Answer:
4
Step-by-step explanation:
edge
The average rate of the function is 4.
What is average rate of function?The average rate of change of a function f(x) over an interval [a, b] is defined as the ratio of "change in the function values" to the "change in the endpoints of the interval". i.e., the average rate of change can be calculated using [f(b) - f(a)] / (b - a). In other words, the average rate of change (which is denoted by A(x)) is the "ratio of change in outputs to change in inputs". i.e.,
A(x) = (change in outputs) / (change in inputs)
= Δy / Δx
= [f(b) - f(a)] / (b - a)
given function:
f(x) = -x² + 6x + 12
Now,
let a= -3, b = 5
and, f(b)= -(5*5) + 6*5 + 12
=-25+ 30 +12
= 17
f(a) = -(- 3 * (-3))+6(-3) +12
= -9-18+12
= -15
Now,
f(b)- f(a) / (b-a)
=17 -(-15))/5-(-3)
=32/ 8
=4
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