Find the value of each variable. Write your answer in simplest radical form.
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Hopefully you understand
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PLEASE ANSWER THIS I AM ASKING THIS QUESTION FOR SOMEONE CAUSE IM NICE AND yeah lol pls answer this question in the pic
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What is the domain of the square root function graphed below?
2
6.
4
1-2
6
X
2
4
6
O x5-1
O x2-1
Oxso
x20
HELP PLS
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Answer:
[tex]x \geqslant 0[/tex]
Option D is the right option.
Explanation:
Observe from the graph that the value of X starts at X=0 and the graph is going to the right infinitely.
So the domain of the function should be:
[tex]x \geqslant 0[/tex]
Hope this helps...
Good luck on your assignment..
The domain of the square root function graphed is, x ≥ 0
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The square root function are graphed below in figure.
Now, We know that;
The set of all inputs of the function is called Domain of set.
Hence, By definition of domain of function, we get;
The domain of the square root function graphed is,
x ≥ 0
Thus, The domain of the square root function graphed is, x ≥ 0
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Answers
Answer:
Third option is the right choice.
Step-by-step explanation:
Manipulate the right hand side.
[tex]\sec \left(x\right)\\\\=\frac{1}{\cos \left(x\right)}\\\\\mathrm{Use\:the\:following\:identity}:\quad \:1=\cos ^2\left(x\right)+\sin ^2\left(x\right)\\\\=\frac{\cos ^2\left(x\right)+\sin ^2\left(x\right)}{\cos \left(x\right)}\\\\\Rightarrow \mathrm{True}[/tex]
Best Regards!
Answer:
sin ^2 (x)+ cos^2(x) = 1
Step-by-step explanation:
sin ^2 (x)+ cos^2(x)
------------------------
cos (x)
We know that sin ^2 (x)+ cos^2(x) = 1
1
------------------------
cos (x)
The definition of sec is 1 /cos
= sec(x)
Identify the graph of y^2+8x=0 for theta=π/6 and write an equation of the translated or rotated graph in general form.
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Answer:
parabola; (x)^2-2(square root 3) xy+3(y)^2 +16 (square root 3) x+16=0
Step-by-step explanation:
edge’s possible answer 2020
A cyclist travels at an average speed of 11mph for 3 hours. how far did she travel in miles
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Answer:
She traveled 33 miles.
Step-by-step explanation:
11*3 = 33
Answer:
33
Step-by-step explanation:
11mph times 3 hours= 33 miles
Please help me with this question!!
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Answer: Choice B) The conjecture is valid given the focus is on proportional equivalence of two sectors.
This is another way of saying "the two pie slices are the same percentage in area". By this, I mean the percentage of the entire cake. For instance, the shaded slice could be 20% of the entire circle area, for each circle.
It's probably easier to see this is the angle was 90 degrees (split the cake into 4 equal slices, only shade one slice). Or probably even easier if you cut the cake into two slices and only shade one slice (to form a central angle of 180 degrees). For the first example, the slice would be 25% of the whole area, while the second slice is 50%.
Choice C is close, but the two sectors are not the same area. This is because the bottom circle has a larger radius, and therefore its sector area is larger.
which is the odd one out? explain reasoning: a) 0.93 divided by 0.03 b) 1.3 divided by 0.2 c) 0.7 divided by 0.07 d) 5.7 divided by 0.9
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Answer:
Step-by-step explanation:
a. 0.93 ÷ 0.03 = 31
b. 1.3 ÷ 0.2 = 6.5
c. 0.7 ÷ 0.07 = 10
d. 5.7 ÷ 0.9 = 6.33333.....
d is odd one out as it is non terminating and recurring
whereas all others are terminating
Answer:
d) 5.7 ÷ 0.9
Step-by-step explanation:
a) 0.93 ÷ 0.03 = 31
b) 1.3 ÷ 0.2 = 6.5
c) 0.7 ÷ 0.07 = 10
d) 5.7 ÷ 0.9 = 6.333333333333...
The odd one out is d, because the answer is a repeating decimal, while the others are terminating.
Jenny wants to show the gym on a scale drawing. She uses a scale of 1:75. The gym has a length of 12.3 metres. Jenny works out the length of the gym on the scale drawing is 18cm. Is she correct?
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Answer:
She is wrong
Step-by-step explanation:
Let us use the scale 1 : 75 to find the length of the gym on the scale drawing.
The scale means that 1 m on the drawing represents 75 m in real life.
Therefore, if the length of the gym is 12.3 cm, then the length of the gym in the scale drawing is:
12.3 / 75 = 0.164 m
Converting to cm:
1 m = 100 cm
0.164 m = 0.164 * 100 = 16.4 cm
She is wrong.
If 8a^2+ 2b^2= 10 and ab = 2, then what is the value of (2a+b)^2
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Answer:
13
Step-by-step explanation:
We have:
8a^2 + 2b^2 = 10
Dividing both sides by 2,
=> 4a^2 + b^2 = 5
or (2a)^2 + b^2 = 5
We also have ab = 2
=> (2a + b)^2
= (2a)^2 + 2(2a)(b) + b^2
= (2a)^2 + b^2 + 4ab
= 5 + 4(2)
= 5 + 8
= 13
Lily is using dark power crystals to raise an army of zombies. Each crystal can raise 9 zombies. How many crystals does Lily need to raise 6,174 zombies?
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Answer:
686 crystals.
Step-by-step explanation:
You can set up an algebraic equation to find the answer.
Let x represent the number of crystals Lily uses.
The question is asking how many crystals it will take to raise 6,174 zombies, when each crystal raises 9.
9x = 6174
x = 6174 / 9
x = 686
That means it will take Lily 686 dark power crystals to raise 6,174. That's a lot of dark power!
Hope this helps!
Alonso is packing a box for shipping. The box contains 3 square ceramic plates with side lengths of 8 inches. He estimates that he will need 102 • 4 – 3(8 • 8 • 1) cubic inches of packing foam. Simplify to find the number of cubic inches of packing foam he will need.
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Answer:
216 cubic inches
Step-by-step explanation:
We want to simplify:
102 * 4 - 3(8 * 8 * 1)
We will apply BODMAS:
Solving the Bracket first:
102 * 4 - 3(64)
102 * 4 - 192
=> 408 - 192
= 216 cubic inches
He will need 216 cubic inches of packing foam.
The measure of angle A is 30 degrees, and the measure of angle B is 124 degrees. Triangle A B C What is the measure of angle C in degrees? 26° 34° 94° 154°
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Answer:
The angle would measure to 26
Step-by-step explanation:
This is because the degrees in the triangle added up have to equal 180.
Step 1: add the existing degrees
124+30= 154
Step 2: do 180 - the sum
180-154 = 26
Therefore the answer is 26
Answer:
The answer is 26 just trust me :)
cos^4a=1/8(3+4cos2a+cos4a)
Answers
Answer:
Below.
Step-by-step explanation:
cos2a = 2 cos^2 a - 1
cos^4a = 8cos^4 a - 8cos^2 a + 1
Right side of the identity =
1 /8(3 + 4cos2a + cos4a)
= 1/8( 3 + 4(2 cos^2 a - 1) + 8cos^4 a - 8cos^2 a+1)
= 1/8 (3 + 8 cos^2 a - 4 + 8 cos^4 a - 8cos^2 a + 1)
= 1/8 (8cos^4 a)
= cos^4 a = the left side.
I realised that I should have derived the identity for cos 4a as well , which i have done in the picture.
The given identity, cos⁴a = 1/8(3 + 4cos2a + cos4a) is proved.
How is proving identities done?To prove a given identity, say f(a) = f(b), we proceed to simplify any of the expressions among the L.H.S. f(a) and the R.H.S. f(b), to get the other term. If we get the simplified form as the other term, our identity holds and is proved.
How do we solve the given question?We know cos2A = 2cos²A - 1.
Going by the same formula, we derive the value of cos4A.
cos4A = 2cos²2A - 1
or, cos4A = 2(2cos²A - 1)² - 1, putting value of cos2A
or, cos4A = 2(4cos⁴A - 4cos²A + 1) - 1, (expanding (2cos²A - 1)² using the formula of (a-b)² = a² -2ab + b²)
or, cos4A = 8cos⁴A - 8cos²A + 2 - 1, (expanding)
or, cos4A = 8cos⁴A - 8cos²A + 1, (simplifying)
∴ cos4A = 8cos⁴A - 8cos²A + 1.
Given identity to us is, cos⁴a = 1/8(3 + 4cos2a + cos4a).
To prove the identity, we proceed with the R.H.S.:
= 1/8(3 + 4cos2a + cos4a)
We put values of cos2A and cos4A in this expression, to get
= 1/8(3 + 4(2cos²a - 1) + (8cos⁴a - 8cos²a + 1))
Expanding the equation, we get
= 1/8(3 + 8cos²a - 4 + 8cos⁴a - 8cos²a + 1)
Simplifying, we get
= 1/8(8cos⁴a) = cos⁴a = L.H.S.
Hence, the given identity is proved.
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What is the slope of the line represented by the equation y=4/5x-3? A.-3 B.-4/5 C.4/5 D.3
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Answer:
4/5
Step-by-step explanation:
y = 4/5 x -3
This is written in slope intercept form
y =mx + b where m is the slope and b is the y intercept
the slope is 4/5 and the y intercept is -3
Which function has real zeros at x = 3 and x = 7?
f(x) = x2 + 4x - 21
Cf(x) = x2 - 4x - 21
Cf(x) = x2 - 10x + 21
f(x) = x2 - 10x - 21
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Answer:
f(x) = x2 – 10x + 21
Step-by-step explanation:
I got it because you substract and add the last part
Please help 6TH GRADE MATH HELP ME OUT PLEASE
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━━━━━━━☆☆━━━━━━━
▹ Answer
d. 7/20
▹ Step-by-Step Explanation
[tex]\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20} \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}[/tex]
Hope this helps!
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Brainliest is greatly appreciated!
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Plz Help!!! I really do not get this lesson and I really need to pass it to move onto the next I am kind of getting it, I want to make sure my answer is correct. IS it sas?
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Answer:
SSS
Step-by-step explanation:
I think it would be SSS (side, side, side)... let me know if I'm wrong and I'll try again:)
Check out the diagram below. I've marked the angles and sides that are congruent. Notice how the marked sides are not between the marked angles for either triangle. So we're dealing with AAS instead of ASA. The order is important. If we wanted to use ASA, then we would have to know DE = TU, both of those sides are between the marked angles.
Which statement describes the end behavior of the function f(x) = 3|x − 7| − 7? A. As x approaches negative infinity, f(x) approaches negative infinity. B. As x approaches negative infinity, f(x) approaches positive infinity. C. As x approaches positive infinity, f(x) approaches negative infinity. D. As x approaches positive infinity, f(x) is no longer continuous.
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Answer:
Our expressions is f(x) = 3|x-7|-7
in positive values |x-7| is x-7 ⇒f(x) = 3x-28in negative ones |x-7| is 7-x wich is the opposite⇒f(x) = 14-3xLet's calculate the limits in +∞ and -∞
[tex]\lim_{x \to +\infty} (3x-28)=[/tex][tex]\lim_{x \to+ \infty} 3x[/tex] = +∞ [tex]\lim_{x \to- \infty} (14-3x) = \lim_{x \to- \infty} -3x[/tex] =+∞So the right staement is B
As x approaches positive infinity, f(x) approaches negative infinity.
What is a function?A relation is a function if it has only One y-value for each x-value.
The function f(x) = 3|x − 7| − 7 is a piecewise function, where the absolute value function has two cases depending on the sign of (x - 7).
When (x - 7) is positive, the function becomes 3(x - 7) - 7 = 3x - 28, and when (x - 7) is negative, the function becomes -3(x - 7) - 7 = -3x + 14.
As x approaches positive infinity, both cases approach negative infinity because the dominant term in each case is the linear term (3x or -3x) as x becomes large.
Therefore, the end behavior of the function is that as x approaches positive infinity, f(x) approaches negative infinity.
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Explain why the initial value of any function of the form
f(x) = a(bx) is equal to a.
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Answer:
Step-by-step explanation:
f(x) = a(b^x), the initial value is always a, because a is independent of x , so when x changes only b^x changes.ex if a = 2, b = 3, and x = 0: f(0) = 2 (3^0) = 2 If x = 1, then f(1) = 2 (3^1) = 2 (3). If x = 2, then f(2) = 2 (3^2) = 2 (9), as you can see a still the same.
Answer:
When you substitute 0 for the exponent x, the expression simplifies to a times 1, which is just a. This is because any number to the 0 power equals 1. Since the initial value is the value of the function for an input of 0, the initial value for any function of this form will always be the value of a.
Hope this helps!
Step-by-step explanation:
Please answer for brainliest!!!Find the equation of a line that passes through the point (-2,1) and has a gradient of 3. Leave your answer in the form ax+by=c Where a, b and c are integers
Answers
Answer:
3x - y = - 7
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 1) , thus
y - 1 = 3(x + 2) ← distribute
y - 1 = 3x + 6 ( subtract 6 from both sides )
y - 7 = 3x ( subtract y from both sides )
- 7 = 3x - y, that is
3x - y = - 7 ← in standard form
Sarah pours four ounces of coffee into an eight-ounce cup and four ounces of cream into a second cup of the same size. She then transfers half the coffee from the first cup to the second and, after stirring thoroughly, transfers half the liquid in the second cup back to the first. What fraction of the liquid in the first cup is now cream?
Answers
Answer:
2/5
Step-by-step explanation:
4ounces of coffee in cup 1
4 ounces of cream in cup 2
In the first step pour 4/2=2 ounces of coffee from cup 1 to cup 2, getting:
2 ounces of coffee in cup 1
2 ounces of coffee and 4 ounces of cream in cup 2
In the second step we pour 2/2=1 ounce of coffee and 4/2=2 ounces of cream from cup 2 to cup 1, getting:
2+1=3 ounces of coffee and 0+2=2ounces of cream in cup 1
so the answer is 2/5
Choose the best estimate for the division problem below.
8.3 /0.7
A. 12
B. 10
c. 9
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Answer:
12
Step-by-step explanation:
8.3 / .7
Multiply each by 10 to get rid of the decimal
83/7
We know that 84/7 =12 so this is close to 12
Is this a linear function?
Answers
NO
Step-by-step explanation:
Answer:
No it's not
Step-by-step explanation:
The y values are just either 1 or -1 which doesn't make sense
So therefore the answer is no
Hope this helps!
Which methods could you use to calculate the y-coordinate of the midpoint of a vertical line segment with endpoints at (0,0) and (0, -12)?
Answers
Answer:
add the y coordinates of the two lines and divide by 2
Step-by-step explanation:
½[0+(-12)]
½[0-12]
½[-12)
y co-ordinate of the midpoint is -6
TRUE OR FALSE
(b^4)^3 = b^12
Answers
Answer:
TRUE
Step-by-step explanation:
if it was b^4 x b^3 then false. but here, would would multiply b^4 by b^3 to make it 12 so true
sorry for bad explanation
Answer:
True
Step-by-step explanation:
If b=2, 2^4 is 16, and 16^3 is 4096.
Also 2^12 is 4096.
So they are equivalent.
Does -3(x-4)= -3x=12 have one solution, many solutions, or no solutions at all?
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Answer:
If the expression is:
-3x + 12 = -3x + 12, infinite solutions
If the expression is:
-3x + 12 = -3x - 12, no solutions
Step-by-step explanation:
Step 1: Distribute
-3x + 12 = 3x = 12
If both lines have the same slope and same y-int, they are the same line and therefore have infinite solutions.
If both lines have the same slope but different y-int, then they are parallel and therefore have no solutions.
Write the equation of the line that passes through (2, 3) and is parallel to the line 12x – 5y = 2.
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Answer:
The answer is
5y - 12x = - 9Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
12x - 5y = 2
5y = 12x - 2
Divide both sides by 5
y = 12/5x - 1/5
Comparing with the above formula
Slope / m = 12/5
Since the lines are parallel their slope are also the same.
Slope the parallel line = 12/5
Equation of the line using point (2,3) is
[tex]y - 3 = \frac{12}{5} (x - 2) [/tex]
Multiply through by 5
That's
5y - 15 = 12(x - 2)
5y - 15 = 12x - 24
We have the final answer as
5y - 12x = - 9Hope this helps you
Which point on the number line represents the product (5)(-2)(-1)
Point A
Point B
Point C
Point D
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the correct answer is D
what is the product of the polynomials below? (8x^2-4x-8) (2x^2+3x+2)
Answers
Answer:
B
Step-by-step explanation:
you can FOIL or set up a box that is 3 x 3 (which is what I recommend) to solve it.
The product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Product of polynomialsFrom the question, we are to determine the product of the given polynomials
The given polynomials are
(8x^2-4x-8) (2x^2+3x+2)
Their product can be determined as follows
[tex](8x^2-4x-8) (2x^2+3x+2)[/tex]
[tex](8x^2) (2x^2+3x+2)-4x(2x^2+3x+2)-8 (2x^2+3x+2)[/tex]
Clear the brackets
[tex]16x^4 +24x^3+16x^2 -8x^3-12x^2-8x-16x^2-24x-16[/tex]
Now, collect like terms
[tex]16x^4 +24x^3 -8x^3-12x^2+16x^2-16x^2-8x-24x-16[/tex]
Simplifying
[tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
Hence, the product of the given polynomials is [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]. The correct option is- B. [tex]16x^4 +16x^3 -12x^2-32x-16[/tex]
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