answer : option C
[tex]f(x) = x^3 + x^2 - 8x - 8[/tex]
Lets find the number of zeros by factoring
[tex]0 = x^3 + x^2 - 8x - 8[/tex]
Group first two terms and last two terms
[tex]0 = (x^3 + x^2) (- 8x - 8)[/tex]
Factor out GCF from each group
[tex]0 = x^2(x + 1)-8(x + 1)[/tex]
[tex]0 = (x^2-8)(x + 1)[/tex]
Now we set each factor =0 and solve for x
0 = (x^2-8) and (x + 1)=0
[tex]x^2 = 8[/tex] and x = -1
[tex]x= 2+-\sqrt{2}[/tex] and x= -1
So we have three real zeros
The function has three real zeros. The graph of the function intersects the x-axis at exactly three locations.
what are 2 ways of solving this proportion? 4/5 = 28/x
The first way is to cross multiply
4/5 = 28/x
4x = 5*28
4x = 140
4x/4 = 140/4
x = 35 which is the answer
=============================================
The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35
Either way, the answer is x = 35
decimal to fraction help
jimmy 209,835 stamps . susie has 9,375. if jimmy gives her 38,998stamps how many stamps will jimmy have
This is simple subtraction.
Jimmy has 209,835 stamps and gives away 38,998 stamps.
this leaves Poor Jimmy with only 170,837 stamps
What is the value of 5 in 756? Write and draw to explain how you know
The 5 in 756 is in the tens place meaning that it equals to 50. That would mean that it is 5 groups of 10
the square root of 2.4² +.7²
the square root of 2.4² +.7² is 2.89
Two cars traveled equal distances in different amounts of time. Car A traveled the distance in 2.4 h, and Car B traveled the distance in 4 h. Car B traveled 22 mph faster than Car A. How fast did Car A travel? (The formula R⋅T=D , where R is the rate of speed, T is the time, and D is the distance can be used.) Enter your answer in the box.
Answer:
Car A traveled at 55 mph.
Step-by-step explanation:
Suppose, the speed of Car A is [tex]x[/tex] mph.
As Car B traveled 22 mph faster than Car A , so the speed of Car B will be: [tex](x+22) mph[/tex]
Given that, Car A traveled the distance in 2.4 hours and Car B traveled the distance in 4 hours.
As, [tex]Distance= Speed*Time[/tex]
So, the distance traveled by Car A [tex]=2.4x[/tex] miles
and the distance traveled by Car B [tex]=4(x+22)[/tex] miles
Given that, two cars traveled equal distances. So, the equation will be......
[tex]2.4x=4(x+22)\\ \\ 2.4x=4x+88\\ \\ 2.4x-4x=52.8\\ \\ -1.6x=52.8\\ \\ x=\frac{52.8}{-1.6}=-33[/tex]
Thus, the speed of Car A will be -33 mph.
Answer:
The speed of Car A = -55 km/h
Step-by-step explanation:
Given, Time taken by Car A = 2.4 hour
and Time taken by Car B = 4 hour
Also, Car B traveled 22 mph faster than Car A
Let the speed of Car A = x km/h
Then the speed of Car B = (x + 22) km/h
As we know that Distance = Speed × Time
⇒ Distance of Car A = 2.4 × x = 2.4x km
and Distance of Car B = 4 × (x + 22) = 4(x + 22) km
Also it is given that distance traveled by both the car is same.
⇒ 2.4x = 4(x + 22)
⇒ 2.4x = 4x + 88
⇒ 2.4x - 4x = 88
⇒ -1.6x = 88
⇒ x = -55
Thus, the speed of Car A = -55 km/h
and, the speed of Car B = -55 + 22 = -33km/h
erica can run 1/6 of a kilometer in a minute her school is 3/4 of a kilometer away from her home at this speed how long would it take erica to run home from school
Answer: 4.5 minutes.
Step-by-step explanation:
1. You have the following information given in the problem above:
- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.
- The school is [tex]\frac{3}{4}km[/tex] away from her home.
2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by [tex]\frac{1}{6}km=0.166km[/tex], as following:
[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]
3. Therefore, the result is 4.5 minutes.
Answer:
4.5
Step-by-step explanation:
Julio cubes a number and then the cube root of the result.he ends up with 20.what number did Julio start with
[tex](\sqrt[3]{x^{3} }) = 20[/tex]
x = 20
Answer: 20
Chris ran 2.5 laps in 81 seconds , what was his average time per lap
If Chris ran 2.5 laps in 81 seconds,
his average time per lap would be 81/2.5 ,
that is 32.4 seconds.
A customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.He had to pay $112.How much had he paid for the first light fixture
$29 times 3 is $87
$112-$87 = $25
52-25= 35
The customer paid $35 for the first light fixture. I think.
The cost of the first light fixture is $27.
Given that, a customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let the cost of first light fixture be x.
Now, x=52+3×29 - 112
=52+87 - 112
= 139 - 112
= 27
Therefore, the cost of the first light fixture is $27.
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A salad dressing recipe requires at least 8 oz of oil to be combined with some combination of vinegar and lemon juice in a 16 oz container. What inequality models this situation? Let x represent the number of ounces of vinegar and let y represent the number of ounces of lemon juice. Enter your answer in the box.
Let x represent the number of ounces of vinegar
Let y represent the number of ounces of lemon juice
Oil required = 8 oz
Container can hold = 16 oz
So the inequality equation will be :
[tex]x+y+8\geq16[/tex]
Answer:
This is the right answer ♡ hope it helps ;)
Step-by-step explanation:
Quick help!!! Will give brainliest
down six over two im not sure though
what statement complete the proof below given 3x+ 7=x-5
To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. The statement that completes the proof is x = -6.
Explanation:To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. Let's solve for x:
Combine like terms: 3x - x = -5 - 7 Simplify the equation: 2x = -12 Divide both sides of the equation by 2: x = -6
The statement that completes the proof is: x = -6.
persons who use drugs relatively infrequently and define drug use as pleasurable are called
i believe the answer would be - recreational drug user.
hope this helps you out!
Recreational drug users engage in occasional, pleasurable drug use for leisure or social purposes. While they may not show signs of dependency, awareness of potential risks is essential. Responsible use and moderation are key.
Individuals who use drugs relatively infrequently and define drug use as pleasurable are often referred to as recreational or occasional drug users. These individuals typically use substances like alcohol, cannabis, or other recreational drugs on a sporadic basis, and they may not exhibit signs of dependency or addiction.
For them, drug use is a choice made for leisure or social purposes, rather than a habitual or compulsive behavior. Recreational drug users tend to consume substances in social settings, during special occasions, or for specific experiences such as relaxation or enhancing social interactions.
It is important to note that while these individuals may not display the same level of risk associated with frequent or heavy drug use, they should still be aware of potential health and safety risks associated with any form of drug consumption. Responsible use, moderation, and informed decision-making are crucial aspects of recreational drug use.
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kathy sees 13 fish in the tank. 6 fish are gold. the rest are blue or red. how many of each could she see?
The complement of an angle is 53 what is the measure of the angle
angle = 37°
complementary angles have a sum of 90°
the angle whose complement is 53° = 90° - 53° = 37°
the product of fwo consecutive integers is 182. find two pairs of integers that have this product. explain your answer.
The two sets of consecutive integers that multiply to 182 are (13, 14) and (-13, -14). First, find the factors of 182 then identify which pairs of these factors are consecutive.
Explanation:The problem at hand is finding two pairs of integers that multiply to 182. Since the integers are consecutive, we can use a knowledge of factors to solve this. The pairs (13, 14) and (-13, -14) meet this criteria of consecutive integers that multiply together to give a product of 182. Here is the step-by-step explanation:
Begin by finding factors of 182, which are 1, 2, 7, 13, 14, 26, 91, 182.Next, identify pairs of these factors that differ by 1 because the problem specifies the numbers are consecutive. The pairs are (13, 14).Don't forget that negative integers can also be consecutive. So, the other pair is (-13, -14), since consecutive integers include both positive and negative integers.Learn more about Product of Consecutive Integers here:https://brainly.com/question/27923045
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solve the equation below for x 200=50e^3x
Answer:
x= In4/3
Step-by-step explanation: other answer
What is 5 8/12 as a mixed number in simplest form
Your fraction is in a mixed number. But if you wanted an improper fraction it would be 17/3 in simplest form.
Solve for x
−4≤11−3x
Please Help
You can answer this like any other equation.
First, subtract 11 from both sides. The equation becomes [tex]-15\leq -3x[/tex].
Next, you have to divide both sides by -3. HOWEVER, when you multiply or (in this case) divide by a negative number in an inequality equation, you must flip the sign. So the answer becomes [tex]5\geq x[/tex].
The solution for the given inequality is x≤5. Therefore, option B is the correct answer.
The given inequality is −4≤11−3x.
We need to solve the given inequality for x.
How do solve inequalities?Use addition, subtraction, multiplication, and division to move the variable to one side and isolate it. Once you have isolated the variable, you have solved the inequality. Reverse the inequality sign whenever you multiply or divide by a negative number.
Now, for the inequality −4≤11−3x add 3x on both sides.
That is, -4+3x≤11
Add 4 on both sides of the obtained result.
That is, -4+3x+4≤11+4
⇒3x≤15
⇒x≤5
The solution for the given inequality is x≤5. Therefore, option B is the correct answer.
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I need help with this question☝
all together they raised $860.81
The 3 classes raised 1109.81.
In order to find this we need to start with information we know.
Moore's class: 249
Now we know Aguilar's class is Moore's class + 396.62
Moore + 396.62
249 + 396.62 = 645.62
And we know that Barry's class is Aguilar's class - 430.43
Aguilar - 430.43
645.62 - 430.43 = 215.19
Now we can add all 3 numbers together to get the final answer.
249 + 645.62 + 215.19 = 1109.81
Please help 33-40, thanks!
33. -8 belongs to:
Set of real numbers; all rational and irrational numbersSet of integers; positive and negative whole numbers34. 14 belongs to:
Set of natural numbers; all positive whole numbersSet of real numbers; all rational and irrational numbers35. 9.23 belongs to:
Set of real numbers; all rational and irrational numbers36. [tex]1\frac{5}{9}[/tex] belongs to:
Set of real numbers; all rational and irrational numbers37. Zero (0) belongs to:
Set of Integers; all positive and negative whole numbersSet of real numbers; all rational and irrational numbers38. -1 belongs to:
Set of integers; all positive and negative whole numbersSet of real numbers; all rational and irrational numbers39. 1/2 belongs to:
Set of real numbers; all rational and irrational numbers40. 0.3 where 3 is recurring belongs to:
Set of real numbers; all rational and irrational numbersRewrite (3x6) - (3x3) using distributive property
Using the distributive property, the rewritten form of (3x6) - (3x3) is 3(x6 - x3), factoring out the common factor of 3.
Explanation:To rewrite (3x6) - (3x3) using the distributive property, we need to factor out the common factor, in this case 3, from both terms. The distributive property states that a(b + c) = ab + ac. Applying this to our expression, we get:
3(x6 - x3).
Here, we simply factored out the 3 from both terms, leaving us with (x6 - x3) enclosed in parentheses.
Which expression is equivalent to 2/7k(k-7)? Assume k=0.A. 2/7-k,B. 2/7-2/k,C. 2k/7-7,D. 2k/7k-2k
[tex]\dfrac{2}{7k}(k-7)\qquad|\text{use distributive property}\\\\=\left(\dfrac{2}{7k}\right)(k)-\left(\dfrac{2}{7k}\right)(7)=\dfrac{2}{7}-\dfrac{2}{k}[/tex]
Which of the following functions are written using function notation? g(x) = 5x + 2 y = 1 x h = x2 r(x) = x f/x = x5 - 3 b(x) = 1 2 x3 p/x = -7x k(x) = - 3 x + 1 y = mx + b fx = -x3 + 4
We are given : g(x) = 5x + 2.
y = 1 x
h = x^2
r(x) = x
f/x = x^5 - 3
b(x) = 1/2 x^3
p/x = -7x
k(x) = - 3 x + 1
y = mx + b
fx = -x^3 + 4
Note: Function is written in the from of f(x) and read as function f of x.
There could be any letter used for function, like h(x), g(x), k(x).
Therefore, in the given options the following are in function notations only:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Answer:
g(x) = 5x + 2.
r(x) = x
b(x) = 1/2 x^3
k(x) = - 3 x + 1.
Step-by-step explanation:
simplify the expression 6X + 12 y + 5 + 2y + 8
what is the coefficient
what is the constant
Evaluate p4+pq when p=8 q=6
what is 1/4 to percent
It would be 25% because how to make dollar .25 .50 .75 1.00
Solve for x. −23(3x−4)+3x=56 who ever solves right first gets brinlyest
Step 1: Simplify both sides of the equation.
−23(3x−4)+3x=56
(−23)(3x)+(−23)(−4)+3x=56(Distribute)
−69x+92+3x=56
(−69x+3x)+(92)=56(Combine Like Terms)
−66x+92=56
−66x+92=56
Step 2: Subtract 92 from both sides.
−66x+92−92=56−92
−66x=−36
Step 3: Divide both sides by -66.
−66x /-66= -36/-66
x= 6/11
Final answer:
To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.
Explanation:
To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.
First, distribute:
(-23)(3x) + (-23)(-4) + 3x = 56-69x + 92 + 3x = 56Then, combine like terms:
-66x + 92 = 56-66x = 56 - 92-66x = -36Finally, divide both sides by -66 to solve for x:
x = -36 / -66x = 36/66x = 6/11 or approximately 0.5455The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.
This section of a page from a telephone directory shows a column of 11 names in 1 inch. Each page has four 10-inch columns. Write an algebraic expression for the approximate number of names in p pages of the directory
.
number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page
number of names(p) = 4*10*11*p = 440*p
The algebraic expression for the number of names in p pages is 440*p
The algebraic expression to estimate the total number of names in p pages of the telephone directory is 440p, where p represents the number of pages.
Explanation:To calculate the approximate number of names in p pages of the telephone directory, we start with the given information: there are 11 names in a 1-inch column.
Since each page has four 10-inch columns, first we calculate the number of names in one column by multiplying the number of names in 1 inch by its height in inches:
11 names/inch × 10 inches = 110 names/column
Then, to find the number in 4 columns per page we multiply by 4:
110 names/column × 4 columns = 440 names/page
Finally, to find the number in p pages, we use the algebraic expression:
440 names/page × p pages = 440p
This expression can be used to estimate the total number of names in p pages of the directory.