Answers
[tex]-2x=0[/tex] or [tex]x-2=0[/tex] or [tex]x^{2}-25=0[/tex]
We can find one zero by solving each in turn:
[tex]-2x=0[/tex]
[tex]x=0[/tex]
[tex]x-2=0[/tex]
[tex]x=2[/tex]
[tex]x^{2}-25=0[/tex]
[tex]x^{2}=25[/tex]
[tex]x=\sqrt{25}=5[/tex]
The zeros are 0,2 and 5.
To check, plug back into the original equation and verify that f(x)=0.
Related Questions
What is the square root of 26 in simplest radical form?
Answers
Final answer:
The square root of 26 in simplest radical form is just √26, as 26 has no perfect square factor. It can also be expressed as 26 raised to the power of 0.5 based on the concept of fractional powers corresponding to roots.
Explanation:
The square root of 26 in its simplest radical form cannot be simplified further as a perfect square factor because 26 is not a perfect square. However, if we apply the concept of expressing numbers as fractional powers, we can say that any number 'x' squared, written as x², is equivalent to the square root of 'x'. Thus, the square root of 26 can also be written as 26 to the power of 0.5 or 26⁰.⁵.
Expressing the concept mathematically, we can write the square root of any number 'x' as x to the power of 0.5, which is a helpful way to solve for unknown values in various equations. This idea is useful in scenarios where different roots of a number or expressions involving fractional exponents are to be calculated, and it is essential to remember that the square root is just another form of an exponent.
Consider the equation
(x^m)^3 = (x^13)^5 times (x^-8)^-5.
The value of m is?
A. 15
B. 28
C. 35
D. 70
It's 35, I figured it out
Answers
(x^m)^3=(x^13)^5*(x^-8)^-5
expanding the above we get;
x^(3m)=x^(65)*x^(40)
x^(3m)=x^(65+40)
x^(3m)=x^105
the x will cancel out and we shall remain with:
3m=105
dividing both sides by 3 we get;
m=105/3
m=35
You are right the answer is m=35.
Bravo!!
Are the following figures similar?
Answers
A ball is thrown from 4 feet off the ground with a vertical velocity of 30 feet per second.
Is the ball at its maximum height after 1 second? In two or more complete sentences, explain how you know whether or not the ball is at its maximum height.
Answers
V = V(0) -32t
0 = 30- 32t
t = 15/16 seconds when its velocity is zero.
It is not at its maximum height but is falling.
Chris bought clothes for school. She bought 3 shirts for $12 each and a skirt for $15.
How much did she spend on the shirts?
Question 1 options:
Answers
A drawing shows 4 apples and 6 bananas. Which is the ratio of bananas to apples? 6:4 3:2 6 4 all of the above
Answers
so ration bananas to apples = 6:4 or 3:2 or 6 4
answer is
all of the above
Bananas : Apples
6 : 4 -----> *** You would think this is the answer but it isn't! ***
Why you may ask... it's because this ratio can be simplified. Yes it is very much like a fraction!
So when we simplify 6 : 4 we will get this ratio as the answer!!
3 : 2
I hope this helps you! :D
Where can the perpendicular bisectors of the sides of a right triangle intersect?
I. inside the triangle
II. on the triangle
III. outside the triangle
A. I only
B. II only
C. I or II only
D. I, II, or II
please show your work
Answers
The amount of candy left in a Halloween bucket is given by the function A(t) = 50(0.8)t where t stands for the number of minutes the candy is available and A(t) stands for the amount of candy left at any given time. How much candy is there after five minutes?
50 pieces
40 pieces
16 pieces
200 pieces
Answers
[tex]A(t)=50(.8) ^{t} [/tex]
The reason I say that is because this is an exponential decay problem, with a starting amount of 50 pieces of candy.
If that's the case, then it would look like this with a t value of 5:
[tex]A(5)=50(.8) ^{5} [/tex]
and [tex]A(5)=50(.32768)[/tex]
so the amount of candy left after 5 minutes is 16.384 or 16
what operation represents a ratio
Answers
(05.03)The equation shows the relationship between x and y:
y = −7x + 9
What is the slope of the equation?
−7
−2
7
9
Answers
y = mx + b
y = -7x + 9
notice that in the m position, the number is -7. That means ur slope = -7
Answer:
Option 1) -7
Step-by-step explanation:
Given : The equation shows the relationship between x and y : [tex]y=-7x+9[/tex]
To find : What is the slope of the equation?
Solution :
The general slope form of the equation is [tex]y=mx+b[/tex]
Where, m is the slope and b is the y-intercept.
Now, We compare the given equation with general form of the equation
[tex]y=-7x+9[/tex]
On comparing, m=-7 and b=9
So, The slope of the given equation is -7.
Therefore, Option 1 is correct.
Suppose that y varies inversely with x, and y=0.2 when x=2. What is an equation for the inverse variation
Answers
A car is a vehicle with four wheels.
Rewrite the statement as a true conditional with a converse that is false.
Write a similar true conditional with a converse that is true
Answers
If a vehicle does not have 4 wheels, it is not a car.
Dont forget to give brainliest and thanks
From January through October, ACE Autos sold 150 cars. The number of cars sold in November and the number of cars sold in December were in the ratio of 3:5. If the total number of cars sold in the year was 390, find the number of cars sold in December. Solve algebraically.
Answers
390-150 = 240 cars were sold in November & December
ratio is 3:5
240/8 = 30
30*3 = 90
3*5 = 150
90 cars sold in November
150 cars sold in December
What is the sum of 12 and the quantity 8 times a number k is equal to 48? It was on my math homework, it hardly makes any sence to me, please help me, whats the answer?
Answers
The question is asking for the solution to the algebraic problem 12 + 8k = 48. By isolating 'k', it is found that the value of 'k' is 4.5.
Explanation:The problem presented here belongs to the branch of algebra. It is showing a relationship between the sum, multiplication, and is presented in a typical algebraic equation format. Let's break it down:
The sum of 12 and a number (which is 8 times k) is equal to 48. This can be written in equation form as:
12 + 8k = 48
To find the value of k, we need to isolate 'k' in the equation. First, subtract 12 from both sides of the equation:
8k = 48 - 12
Then, simplify the right side:
8k = 36
Finally, divide both sides by 8 to solve for k:
k = 36 / 8
So, k = 4.5.
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Suppose you are making yourself a sandwich. how many different sandwiches can you make if you have 4 choices in bread, 2 choices in meat, and 5 choices in cheese?
Answers
Evaluate 5a^2 + 2b^3 when a=4 and b =-4
Answers
5a^2 + 2b^3, solve when a = 4 and b = -4
To solve for this, we must replace "a" with 4, and "b" with -4.
I will set it up;
5(4^2) + 2(-4^3)
Simplify the parenthesis (PEMDAS).
5(16) + 2(-64)
Remove the parenthesis by multiplying them by the numbers to the outside of them.
5 x 16 = 80
2 x -64 = -128
We are now left with:
80 - 128
Simplify.
-48 is your final answer.
I hope this helps!
Both windows are congruent. What is the combined area of the two windows?
Answers
Identify the property used in the first 5 steps to solve the equation 2(x-5)-6x=-22
Answer choices:
Step 1: Associative, Commutative or Distributive Property
Step 2: Associative, Commutative or Distributive Property
Step 3: Addition or Multiplication Property of Equality
Step 4: Addition Property or Combine Like Terms
Step 5: Addition or Multiplication Property of Equality
Answers
[tex]2x-10-6x=-22[/tex] ⇒ from here the next step is simplifying by collecting like terms
[tex]2x-6x-10=-22[/tex] ⇒ The simplifying process is the application of COMMUTATIVE property since this property allows us to 'group' the like terms together. In other words, this property allows us to move the [tex]-6x[/tex] next to the [tex]2x[/tex].
[tex](2-6)x-10=-22[/tex] ⇒ This what actually happened when we simplify [tex]2x-6x[/tex], we work out the sum of [tex](2-6)[/tex] and the answer is multiplied back to [tex]x[/tex]. This is called the ASSOCIATIVE property as we 'associating' the constant of the like terms.
[tex]-8x-10=-22[/tex] ⇒ Adding 10 on both sides to eliminate [tex]-10[/tex] on the left hand side of equation
[tex]-8x=-22+10[/tex]
[tex]-8x=-12[/tex]
[tex]x= \frac{-12}{-8}= \frac{3}{2}=1.5 [/tex]
Hence, the steps are
STEP 1
STEP 4
STEP 2
STEP 3
STEP 5
Answer:
Distributive property
Step-by-step explanation:
(Solve for v) 2v − 6 = 4
Answers
[add 6]
2v=10
[divide by 2]
v=5
My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month. How much will I need to pay each month?"
Answers
Answer:
$245
Step-by-step explanation:
Given : My past due bill is $585.00, and I just made payment arrangements for the next 3 months to keep my account from being suspended. My normal monthly bill is $50.00 per month.
To Find: How much will I need to pay each month?"
Solution:
Past due bill = $585
Now just made payment arrangements for the next 3 months to keep my account from being suspended
So, Payment each month of past bill = [tex]\frac{585}{3}=195[/tex]
My normal monthly bill is $50.00 per month.
So, I need to pay per month = $50+$195= $245
Thus ,I need to pay $245 per month .
what is the common difference in the arithmic sequence 30,27,24,21,18
Answers
so
30 and 27
27 decreased by 30 is -3
the common differce is -3
Answer:
-3
Step-by-step explanation:
Its decresing by -3.
Which of the following inequalities matches the graph?
graph of an inequality with a solid vertical line through the point negative 7, 0 and shading to the left of the line
Answers
HELP! 5/x+3 - 3/x-2 = 5/3x+6 please show your work. :)
Answers
Please help me explain your answer
Answers
convert 2 2/5 into a fraction
2 2/5 = 12/5
12/5 * 1/9 =12/45 reduces to 4/15
What is the value of x 20 35 60 70
Answers
2x = 40
x = 20
answer is A. 20 (first choice)
Answer:
Value of x is:
20
Step-by-step explanation:
Clearly, the two angles are vertically opposite
and vertically opposite angles are always equal
So, x+40=3x
Subtracting both sides by x, we get
x+40-x=3x-x
i.e. 40= 2x
Dividing both sides by 2, we get
x = 20
Hence, Value of x is:
20
What is the slope and the y intercept of the line y=6x-9?
Answers
The y-intercept is: -9 ; (or, more precisely: "(-9, 0)" .
_________________________________________________
Note: The line in written in "point-slope form"; also known as:
"slope-intercept format" ; that is: " y = mx + b" ; in which:
m = slope = coefficient of "x" ;
b = "y-intercept" (or, more precisely; the value
of "x" in the "x-coordinate" of the point of the
"y -intercept).
__________________________________________________
So: Given: y = 6x - 9 ; m = slope = 6 ;
b = -9 .
__________________________________________________
Hello there! :)
This equation is written in slope-intercept form. which means we can easily idenify the slope and the y-intercept.
First of all, slope-intercept form looks like this:
y=mx+b
The letter m represents the slope, while the letter b represents the y-intercept.
Now, let's look at the values that we have.
We are given the equation of the line:
y=6x-9
We know that m is the slope; therefore, in this equation, 6 is the slope.
-9 is the y-intercept (the letter b)
Therefore, 6 is the slope and b is the y-intercept.
I hope it helps you. Let me know if you have any queries.
~A smiley teen
[tex]MagicalNature[/tex] here to help
The longest side of an acute isosceles triangle is 8 centimeters. Rounded to the nearest tenth, what is the smallest possible length of one of the two congruent sides?
Answers
To have a triangle we should comply with the following inequality:
a + a > 8
2a > 8
and a>4
To comply with the triangle inequality theorem, the smallest possible length of the congruent sides in an acute isosceles triangle with the longest side being 8 centimeters, would be slightly greater than 4 centimeters, rounded to the nearest tenth (4.1 centimeters).
Explanation:In the context of an acute isosceles triangle, the longest side is the base and the other two sides are congruent or have equal length. The smallest possible length of the congruent sides comes into play in respect of the triangle inequality theorem, stating that the sum of the lengths of any two sides must be greater than the length of the third side. Thus, for the smallest possible length, each of the congruent sides must hence be just slightly larger than half the length of the longest side. So for an 8 centimeter base, the smallest length for the congruent sides should be slightly more than 4 centimeters, let's call it 4.1 centimeters, when rounded to the nearest tenth.
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Joan likes to watch the birds in her yard.one morning,she notices that there are twice as many robins as blue jays.if she counted 21 blue jays and robins in all, how many blue jays did she count. Need help badly
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14 robins
7 blue jays
Use the distributive property to remove the parentheses.
-5(5v-4x-1)
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You need to multiply all the variables in the parentheses by -5.
(-5*5v) - (-5*4x) - (-5*1)
-25x + 20x + 5
= - 25v + 20x + 5
What is the answer to this?
Answers
108/18= 6
So she will need 6 cakes to feed 180 people