Answer:
|-12+3|=9
Step-by-step explanation:
Hello, -12+3=-9 and then we have to take the absolute value of -9, which is 9.
Thank you
Answer:
9
Step-by-step explanation:
|-12+3|
|-9|
9
Factorise: 5(2^n)+2^n+2
Answer:
2 ( n + 2 ) ( n + 1 2 )
Step-by-step explanation:
coefficient of the first term:
2 = 2 × 1
coefficient of the last term:
2 = 2 × 1
coefficient of the middle term (using only the factors above):
5 = 2 × 2 + 1 × 1
2 n 2 + 5 n + 2 = ( 2 n + 1 ) ( n + 2 )
Alternative method:
Treat the given expression as a quadratic set equal to zero, with the form
a n 2 + b n + c
and use the quadratic formula
− b ± √ b 2 − 4 a c 2 a
This will given solutions
n = − 2 and n = − 1 2
for a factoring
2 ( n + 2 ) ( n + 1 2 )
Hope this helped
Which expression is equivalent to y.y.y.z.z.z.z
Answer:
y^3z^4
Step-by-step explanation:
y*y*y*z*z*z*z
y*y*y=y^3
z*z*z*z=z^4
Together,
y^3z^4
Hope this helps ;) ❤❤❤
Answer:
your answer is A, y³ z⁴
Step-by-step explanation:
it was correct for me.
what is a postulate?
Answer:
A statement, also known as an axiom, which is taken to be true without proof. Postulates are the basic structure from which lemmas and theorems are derived.
Step-by-step explanation:
The Addition Postulate: If you have one apple and Sally has one apple, when you both add the same quantity to your existing number of apples, you'll still have the same number of apples. Using algebra, the postulate states:
If x = y, then x + 4 = y + 4
The Subtraction Postulate: If you have ten apples and Sally has ten apples, when you both subtract the same quantity of apples from your existing number of apples, you'll still have the same number of apples.
If x = y, then x - 3 = y - 3
Without being repetitive, these same principles apply to both multiplication and division.
The Multiplication Postulate: If x = y, then x * 3 = y * 3
The Division Postulate: If x = y, then x / 7 = y / 7
Answer:
suggest or assume the existence, fact, or truth of (something) as a basis for reasoning, discussion, or belief.
Step-by-step explanation:
The temperature of a freezer started at 18 degrees Celsius.After cooling for a few hours, the freezer had a temperature of -12 degrees Celsius. What is the difference between the new,colder temperature and the original temperature?
Answer:
Step-by-step explanation:
Difference = New temperature - original temperature
= -12 - (18)
= - 30
New temperature is 30° less than the original temperature
Suppose Mr. Swanson turns in a late order for 1 veggie sandwich and 1 chicken sandwich. What is the new ratio of chicken sandwiches to veggie sandwiches?
Answer:
6 chicken sandwiches to 4 veggie sandwiches
Step-by-step explanation:
edge 2020
See attachment for question (I will report you if you are only doing it for the points)
Answer:
x => y
-6 => 9
3 => 5
15 => -3
-12 => 15
Step-by-step explanation:
Given the domain function, {-12, -6, 3, 15}, and the equation of the function, [tex] y = -\frac{2}{3}x + 7 [/tex], we can complete the given table by simply plugging in the value of either x to find y, or y to find x in the table given. The domain values are all x-values you have in the table.
Find y when x = -6:
[tex] y = -\frac{2}{3}(-6) + 7 [/tex]
[tex] y = -\frac{2}{1}(-2) + 7 [/tex]
[tex] y = 2 + 7 [/tex]
[tex] y = 9 [/tex]
Find x when y = 5:
[tex] 5 = -\frac{2}{3}x + 7 [/tex]
[tex] 5 - 7 = -\frac{2}{3}x + 7 - 7 [/tex]
[tex] -2 = -\frac{2}{3}x [/tex]
[tex] -2 = \frac{-2x}{3} [/tex]
[tex] -2*3 = \frac{-2x}{3}*3 [/tex]
[tex] -6 = -2x [/tex]
[tex] \frac{-6}{-2} = \frac{-2x}{-2} [/tex]
[tex] 3 = x [/tex]
[tex] x = 3 [/tex]
Find y when x = 15:
[tex] y = -\frac{2}{3}(15) + 7 [/tex]
[tex] y = -\frac{2}{1}(5) + 7 [/tex]
[tex] y = -10 + 7 [/tex]
[tex] y = -3 [/tex]
Find x when y = 15:
[tex] 15 = -\frac{2}{3}x + 7 [/tex]
[tex] 15 - 7 = -\frac{2}{3}x + 7 - 7 [/tex]
[tex] 8 = -\frac{2}{3}x [/tex]
[tex] 8 = \frac{-2x}{3} [/tex]
[tex] 8*3 = \frac{-2x}{3}*3 [/tex]
[tex] 24 = -2x [/tex]
[tex] \frac{24}{-2} = \frac{-2x}{-2} [/tex]
[tex] -12 = x [/tex]
[tex] x = -12 [/tex]
what is the slope of the following 12x - 6y = 30
Answer:
[tex]slope = m = 2[/tex]
Answer:
2
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope
Solve for y
12x - 6y = 30
Subtract 12x from each side
-6y =-12x+30
Divide by -6
y = -12x/-6 +30/-6
y = 2x -5
The slope is 2
how to solve the quadratic equation y = 15x2 + 4x - 4 using the factoring method.
Find the value of 14+5•3-3^2. Then change two operation signs so that the value of the expression is 8
Answer:
Step-by-step explanation:
14+5*3-3²=14+15-9=29-9=20
14-5*3+3^2=14-15+9=23-15=8
can some one solve this pls[tex]\int\limits^\frac{1}{\sqrt{2}}_0 \frac{1}{\sqrt{1-x^{2} } }[/tex]
Answer:
Step-by-step explanation:
Hello, please consider the following.
[tex]x(t)=sin(t)\\\\dx=cos(t)dt\\\\\text{For x = }\dfrac{1}{\sqrt{2}}=\dfrac{\sqrt{2}}{2} \text{ we have } t = \dfrac{\pi}{4}[/tex]
So, we can write.
[tex]\displaystyle \int\limits^{\dfrac{1}{\sqrt{2}}}_0 {\dfrac{1}{\sqrt{1-x^2}}} \, dx =\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{\sqrt{1-sin^2(t)}}} \, dt\\\\=\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{\sqrt{cos^2(t)}}} \, dt\\\\=\int\limits^{\dfrac{\pi}{4}}_0 {\dfrac{cos(t)}{cos(t)}} \, dt \\\\=\int\limits^{\dfrac{\pi}{4}}_0 {1} \, dt\\\\=\large \boxed{\sf \bf \dfrac{\pi}{4}}[/tex]
Thank you
Answer: [tex]\bold{\dfrac{\pi}{4}}[/tex]
Step-by-step explanation:
Note the following integral formula: [tex]\int\limits^a_b {\dfrac{1}{\sqrt{1-x^2}}} \, dx =\sin^{-1}(x)\bigg|^a_b[/tex]
We can rationalize the denominator to get: [tex]\dfrac{1}{\sqrt2}\bigg(\dfrac{\sqrt2}{\sqrt2}\bigg)=\dfrac{\sqrt2}{2}[/tex]
*************************************************************************************
[tex]\int\limits^{\frac{\sqrt2}{2}}_0 {\dfrac{1}{\sqrt{1-x^2}}} \, dx \\\\\\=\sin^{-1}(x)\bigg|^{\frac{\sqrt2}{2}}_0\\\\\\= \sin^{-1}\bigg(\dfrac{\sqrt2}{2}\bigg)-\sin^{-1}(0)\\\\\\=\dfrac{\pi}{4}-0\pi\\\\\\=\large\boxed{\dfrac{\pi}{4}}[/tex]
(b) A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A. Again, "L" is the length dimension and "T" is the time dimension. [Hint: A trigonometric function appearing in an equation must be dimensionless.]
Answer:
A is in length dimensions
Step-by-step explanation:
The expression:
x = A sin (2πft)
has in the second member two factors A and sin (2πft); a sine is a relation between two sides with the same dimension that means a sine is a number ( with minimum and maximum values of 0 for zero degrees and 1 for 90 degrees ). As t is in units of time ( seconds, minutes or hours) frequency "f", which is the number of cycles per unit of time ( seconds, minutes or hours), t and f should be both in the same unit, in order to get just a number for sin2πf.
Therefore A should be in units of length and x will get its units from A
For instance
x = A sin(2πft)
t in seconds f in 1/seconds A in meters
By substitution, we can see that
x[ m ] = A [m] * sin[ 2π*sec* 1/sec ]
x[ m ] = A [m] * number
The percentage of nickel in a U.S. dime is 8.33%. What is 8.33% rounded to the nearest tenth of a percent? pls help meh ASAP
Answer:
Hi! You already have the percentage of the nickel to the nearest hundredth, you just need to move to the left once to get to the tenth. That would mean the answer is 8.3%! Easy as that.
Answer:
8.3%
I just took the test
what is 8.5 divided by 390
0.2017 this is the answer i got
Answer:
0.02179
Step-by-step explanation:
8.5÷390 = 0.02179
Find the value of x. A. 13 B. 9 C. 12 D. 10
Answer:
D. 10
Step-by-step explanation:
9+4=13
x+3=13
x=10
The value of x is 10 which is correct option (D).
What is the Angles of Intersecting Secants Theorem?Angles of Intersecting Secants Theorem states that, If two lines intersect outside a circle, then the measure of an angle formed by the two lines is one half the positive difference of the measures of the intercepted arcs.
Given that,
Length of CW = 9 units,
Length of WV = 4 units,
Length of WU = 3 units,
Length of TW = x units,
⇒ Length of CW + Length of WV = Length of CV
⇒ 9 + 4
⇒ 13
⇒ Length of TW + Length of WU = Length of CV
⇒ x + 3 = 13
⇒ x = 10 - 3
⇒ x = 10
Hence, the value of x is 10 which is correct option (D).
Learn more about Secants theorem here:
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The question is in the photo. Determine an equation for the pictured graph. Please help!!
Explanation:
It's probably not obvious, but the squiggly portion through the x intercept x = -1 is a triple root. This is because this portion resembles a cubic graph. If instead it was a more straightish line through this root, then we'd have a single root.
So because x = -1 is a triple root, this means the factor (x+1) has the exponent 3. We have the factor (x+1)^3
The other factor is (x-2) from x = 2 being the other root.
All together we have (x+1)^3*(x-2) as the complete factorization. The leading coefficient is 1 to have this graph open upward. Or put another way, since the end behavior is going to positive infinity for both endpoints, the leading coefficient must be positive.
What is the first derivative of r with respect to t (i.e., differentiate r with respect to t)? r = 5/(t2)Note: Use ^ to show exponents in your answer, so for example x2 = x^2. Also, type your equation answer without additional spaces.
Answer:
The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).
Step-by-step explanation:
Let be [tex]r(t) = \frac{5}{t^{2}}[/tex], which can be rewritten as [tex]r(t) = 5\cdot t^{-2}[/tex]. The rule of differentiation for a potential function multiplied by a constant is:
[tex]\frac{d}{dt}(c \cdot t^{n}) = n\cdot c \cdot t^{n-1}[/tex], [tex]\forall \,n\neq 0[/tex]
Then,
[tex]r'(t) = (-2)\cdot 5\cdot t^{-3}[/tex]
[tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3})
The first derivative of [tex]r(t) = 5\cdot t^{-2}[/tex] (r(t)=5*t^{-2}) with respect to t is [tex]r'(t) = -10\cdot t^{-3}[/tex] (r'(t) = -10*t^{-3}).
I dont know how to do this and need help.
Answer:
The correct option is;
The variable x has a coefficient
Step-by-step explanation:
The given vertex form of a quadratic function and the quadratic function can be written as follows;
Vertex form of a quadratic function, f(x) = (3·x + 1/3)² + 8/9
The quadratic function, f(x) = 9·x² + 2·x + 1
The vertex form of a quadratic function f(x) = a·x² + b·x + c is f(x) = a·(x - h)² + k
Where;
h = -b/(2·a) = -2/(2×9) = -1/9
k = f(h) = f(-1/9) = 9 × (-1/9)² + 2 × (-1/9) + 1 = 8/9
Which gives the vertex form a s f(x) = 9·(x - (-1/9))² + 8/9
f(x) = 9·(x + 1/9)² + 8/9
Therefore, f(x) = (3·x + 1/3)² + 8/9 is not the vertex form of f(x) = 9·x² + 2·x + 1 because the variable x has a coefficient.
f(x) = x; translation
6 units down followed by a
vertical stretch by a factor
of 5
g(x) = 5x = 6
Answer:
the transformed function becomes: g(x) = 5 x - 30
Step-by-step explanation:
When the function f(x) = x is shifted down by a factor of 6 we have the following transformation:
f(x) --> x - 6
After this, a vertical stretch by a factor of 5 should affect the full functional expression in the following way:
5 ( x - 6) = 5 x - 30
Therefore the transformed function becomes: g(x) = 5 x - 30
(19x^2+12x+12)+(7x^2+10x+13)
Answer:
[tex]26x^2+22x+25[/tex]
Step-by-step explanation:
We remove the brackets, getting [tex]19x^2+12x+12+7x^2+10x+13[/tex].
We then combine like terms, getting [tex](19+7)x^2+(12+10)x+(12+13)[/tex].
As a result, we get [tex]26x^2+22x+25[/tex].
Answer:
[tex] \boxed{ \huge{ \boxed{ \bold{ \sf{26 {x}^{2} + 22x + 25}}}}}[/tex]Step-by-step explanation:
[tex] \sf{(19 {x}^{2} + 12x + 12) + ( {7x}^{2} + 10x + 13)}[/tex]
Remove the unnecessary Parentheses
⇒[tex] \sf{19 {x}^{2} + 12x + 12 + (7 {x}^{2} + 10x + 13)}[/tex]
When there is a ( + ) in front of an expression in parentheses , the expression remains the same
⇒[tex] \sf{19 {x}^{2} + 12x + 12 + 7 {x}^{2} + 10x + 13} [/tex]
Collect like terms
⇒[tex] \sf{26 {x}^{2} + 22x + 12 + 13}[/tex]
Add the numbers
⇒[tex] \sf{26 {x}^{2} + 22x + 25}[/tex]
Hope I helped!
Best regards!
how would i find y in this situation
Answer:
C.) 7√2/2
Step-by-step explanation:
tan¤ = opp/adj
tan 45° = y/7√2/2
1 = y/7√2/2
1 = 2y/7√2
7√2 = 2y
2y = 7√2
y = 7√2/2
NOTE: ¤ = Theta
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!! Two functions represent the composite function h(x) = (x – 1)³ + 10 so that h(x) = (g compose f)(x). Given f(x) = x + a and g(x) = x³ + b, what values of a and b would make the composition true?
Answer:
A= -1 B=10
Step-by-step explanation:
Answer:
a: -1
b: 10
edge 2020
5.67 km are equal to _____________ meters * A. 5670 B. 56700 C. 567000 D. 56.7
Answer:
A
Step-by-step explanation:
Your answer is 5670 m
1km=1000m
5.67km=5.67×1000
=5670m
hope this helps
Answer:
5670
Step-by-step explanation:
If (x+4): (3x+1) is the duplicate ratio of 3:4 find the value of x.
Step-by-step explanation:
According to the question:
(x+4) : = 3:4
or, (x+4) / (3x+1) = 3 / 4
or, (x+4) * 4 = (3x+1) * 3
or, 4x + 16 = 9x + 3
or, 16 - 3 = 9x - 4x
or, 13 = 5x
or, 13/5 = x
•
• • x = 2.6
Answer:
x = [tex]\frac{13}{5}[/tex]
Step-by-step explanation:
Express the ratios as equivalent fractions, that is
[tex]\frac{x+4}{3x+1}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
3(3x + 1) = 4(x + 4) ← distribute parenthesis on both sides
9x + 3 = 4x + 16 ( subtract 4x from both sides )
5x + 3 = 16 ( subtract 3 from both sides )
5x = 13 ( divide both sides by 5 )
x = [tex]\frac{13}{5}[/tex]
Give an example of an exponential function that includes the following transformations: o Vertical Compression o Reflection in the y-axis o Horizontal Stretch o Horizontal Translation to the left o Vertical Translation down
Step-by-step explanation:
A transformation may be defined as taking a basic function and then changing it slightly with the predetermined methods. This changes will cause the required graph of that function to shift, move or stretch, which depends on the type of the transformation.
For example:
Let a function be : [tex]$f(x)= B^x$[/tex]
For any constants m and n, the function [tex]$f(x)= B^{x+m}+n$[/tex] shifts the parent function.
- vertically n units and in same direction of the sign of n.
- horizontally m units and towards the opposite direction of the sign of m.
- The y-intercept becomes ([tex]$0, b^m+n$[/tex])
- The horizontal asymptote becomes y = n.
- the reflection about x -axis becomes [tex]$f(x)=- B^x$[/tex]
the square of an integer creates a
Answer:
It creates a positive integer.
Step-by-step explanation:
Integers are whole number which could be negative or positive. Examples are; 2, 3, -1, -7 -5 etc.
Whenever an integer is squared, a positive integer is created. For example, let us consider integers; 3, 4, -3 and -4.
[tex](3)^{2}[/tex] = 3 × 3 = 9
[tex](-3)^{2}[/tex] = -3 × -3 = 9
Also,
[tex](4)^{2}[/tex] = 4 × 4 = 16
[tex](-4)^{2}[/tex] = -4 × -4 = 16
Therefore, the square of an integer creates a positive integer.
Which of the following is an example of the difference of two squares? x2−9x2−9 (x−9)2 x3−9x3−9 (x+9)2
Answer: x²−9
Step-by-step explanation:
A square number is obtained ehen we multiply a number to itself.
For example: 5 × 5 = 5² = 25 [It is a square number]
We can do this in expression too, For example: z×z =z²
From all the given options, only x²−9 has both terms as square.
∵ x² = x × x
and 9 = 3×3= 3²
So that, x²−9 =(x)²-(3)²
Hence, the correct option is x²−9.
A bricklayer is building a wall. Each layer of the wall has the same number of bricks. The points on the following coordinate plane show how many bricks he used to make 2, 3, and 4 layers of the wall.
Answer:
50
Step-by-step explanation:
Follow the graph and the bricks go up by 50 per 1 layer
For 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
What is a linear graph?The graph for a straight line is called the linear graph in the linear graph the increment of the data for both the axes is constant so it gave a linear relationship.
As we can see in the graph there is a relationship between the number of bricks and the layers of the bricks.
Therefore, for 1 layer 50 bricks, for 2 layers 100 bricks, for 3 layers 150 bricks, and for 4 layers he uses 200 bricks.
To know more about linear graphs follow
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Ethan made goodie bags for his birthday party guests. He put the same amount of goodies in each bag. He had 48 pieces of candy, 8 yoyos, 16 toy cars, and a box of 24 pencils with silly erasers. Eight guests came to Ethan's party. The party was three hours long. Ethan and his guests spent the first half of the party playing games. Then they had cake and ice cream. After that, Ethan opened his presents. Then they all ran around like little monsters until it was time for the guests to go home at 4:30 pm .How many pieces of candy did each guest get?
Answer:
6 candies
Step-by-step explanation:
The sentences "Ethan and his guests spent the first half...time for the guests to go home at 4:30 pm" are extra information because they don't relate to the problem, therefore, we can ignore them. We know that Ethan had 48 pieces of candy and that 8 guests came to his party. Since each guest got an equal amount of candy, to find the answer, we can do 48 / 8 = 6 candies.
what value of x that will make x/3 - 2 = - 11/4
Answer:
x = -9/4
Step-by-step explanation:
x/3 - 2 = - 11/4
Add 2 to each side
x/3 - 2+2 = - 11/4+2
Get a common denominator on the right
x/3 = -11/4 + 8/4
x/3 = -3/4
Multiply each side by 3
x/3*3 = -3/4 *3
x = -9/4
Answer:
[tex]$ x= -\frac{9}{4} $[/tex]
Step-by-step explanation:
[tex]$\frac{x}{3} - 2 = -\frac{11}{4} $[/tex]
[tex]$\frac{x}{3} -\frac{6}{3} = -\frac{11}{4} $[/tex]
[tex]$ \frac{x-6}{3} = -\frac{11}{4} $[/tex]
Multiply both sides by 3
[tex]$ x-6 = -\frac{33}{4} $[/tex]
[tex]$ x= -\frac{33}{4} + 6$[/tex]
[tex]$ x= -\frac{33}{4} + \frac{24}{4} $[/tex]
[tex]$ x= -\frac{9}{4} $[/tex]
Dewayne is throwing a birthday party for his friend. He wants to serve each guest one cupcake and one can of soda. At the store, soda is
sold 6 to a pack, and cupcakes are sold 4 to a pack. What is the fewest number of cupcakes and sodas Dewayne must buy so that he has
the same number of each?
Answer:
3
Step-by-step explanation:
so if he buys 2 packs of soda and three packs of cupcakes they will be even
cause it's gonna be 12-12