f(x) is a function that takes some number x and outputs another one.
To get the output value, replace every instance of x in f(x) with the given number.
1. If f(x) = x ² - 4x, then
f (-3) = (-3)² - 4(-3) = 9 + 12 = 21
2. f(x) = x ² - x, so
f (-10) = (-10)² - (-10) = 100 + 10 = 110
3. f(x) = 3x + 1, so
f (-3) = 3(-3) + 1 = -9 + 1 = -8
4. f(x) = 4x - 2, so
f (8) = 4(8) - 2 = 32 - 2 = 30
5. f(x) = x ² + 2, so
f (0) = 0² + 2 = 0 + 2 = 2
Can someone help me solve all of these problems for brainliest and a heart? please and thank you!
Answer:
Top Right Problem: PACKAGE #2 and $0.80
Bottom left: BAND and $0.05
Bottom Right: PEPSI and $0.05
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
Learn more about fractions here:
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Find the length of the third side to the nearest tenth. a=4 b=6 c=?
Answer:
[tex]2\sqrt{13}[/tex]
Step-by-step explanation:
(5x^5) - (80x^3)
factoring
Answer:
Factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]
Step-by-step explanation:
We need to factor the term [tex](5x^5) - (80x^3)[/tex]
First we can see that [tex]5x^3[/tex] is common in both terms
So, taking [tex]5x^3[/tex] common:
[tex](5x^5) - (80x^3)\\=5x^3(x^2-16)[/tex]
We can write [tex]x^2-16[/tex] as [tex](x)^2-(4)^2[/tex]
[tex]=5x^3((x)^2-(4)^2)[/tex]
Now we can solve [tex](x)^2-(4)^2[/tex] using the formula: [tex]a^2-b^2=(a+b)(a-b)[/tex]
We can write:
[tex]=5x^3((x)^2-(4)^2)\\=5x^3(x-4)(x+4)[/tex]
So, factoring the term [tex](5x^5) - (80x^3)[/tex] we get [tex]\mathbf{5x^3(x-4)(x+4)}[/tex]
Please Help! #17, 18, 19
Answer: 17: No, the triangles are not similar.
I'm sorry, that is the best I can do, I forgot all about triangles ;-;
Step-by-step explanation:
Please help for:
5 − 8 −2n = −75
Answer:n
= − 5 , 5
Step-by-step explanation:
Challenge A large university accepts 40% of the students who apply. Of the students the university
accepts, 45% actually enroll. If 20,000 students apply, how many actually enroll?
students would actually enroll. (Type a whole number.)
Plzzzz help
Answer:
3,500
Step-by-step explanation:
please help i need this asap
Answer:
Step 1
Step-by-step explanation:
He didn't distribute the 5 to the 3 inside the parentheses in the first term, or the 2 to the 2 in parentheses in the second term. If he had distributed right, the equation would be 10x-15+14x+4-23
Dominique paid $15.50 to join an online music service.If she purchases 10 songs each month at a cost of $0.99 per song,what will be the total amount she has spent after 8 months.
Answer:
94.7
Step-by-step explanation:
15.50+10*0.99*8
I am a two-digit number. I have a three in the ones place. I am less than 16.
What number am I?
Answer:
13
Step-by-step explanation:
It is a two digit number that is less than 16. That means it's either 10,11,12,13,14 or 15. 13 is the only number with a three in the ones place.
Two siblings are racing. The older sibling can run at a constant speed of 11 feet per second. The younger sibling can run at a constant speed of 7 feet per second. If the younger sibling is given a 32-foot head start in the race, how long will it take the older sibling to catch the younger sibling, and how far will the older sibling have run at that moment?
The older sibling will catch the younger sibling after ? second(s) and running ? feet.
Answer:
it would take approximately 8 seconds
Step-by-step explanation:
7x8 + 32 =88 but will take 8 seconds to get 88 with going 11 feet per sec 8×11=88
3t+7=3t+6 pls help ...
Answer:
There are no values of t that make the equation true.
No solution
Step-by-step explanation:
The average of the integers 4, 9, 10, 14, a, and b is 10. Find the sum of a and b.
Answer:
The answer is A = 14 B = 4 14 - 4 = 10 I think.
Step-by-step explanation:
It's not a sum its a difference because this is a subtraction problem I think.
The cost of purchasing gasoline varies directly with the number of gallons purchased. Kali paid $52.90 for 23 gallons of gas. What is the direct variation equation that relates y, the cost of a gasoline purchase, to x the number of gallons?
Answer:
y = 2.3x
Step-by-step explanation:
y = kx
52.9 = 23x
52.9 ÷ 23 = x
x = 2.3
What equation could be written for this table?
Answer:
y = 3 + 1/2 * x
Step-by-step explanation:
Help? Will give brainliest
Answer:
2) A
3) A
Step-by-step explanation:
2:
3y + 4x = 15
(divide 15 by 3 to get y by itself... then subtract 4 to the side with 15 so you have the proper equation)
y = 5 - 4x (when you graph it, the y intercept is 5)
3:
since x = -4y ... you substitute that into the second equation
-4y + 5y = 2
then solve for y
y = 2
so now you substitute y into the first line
x = -4(2)
x = -8
Given ABCD what is the value of y?
Answer:
x=7
y=5
Step-by-step explanation:
quadrilaterals have 360 degrees, and their opposite angles are equal
15x+5=16x-2
7=x
(plug back in to find angle)
15(7)+5=110
that angle, plus opposite angle, equals 110.
360-220=140
140/2=70
now we know the value of other unsolved angle
70=12y+10
60=12y
5=y
A student solves this problem by writing an equation. Which strategy could help check the student’s answer? Check that the sum of the final answer, 12, and 15 is 55. Check that the difference of 55 and the final answer is 12. Check that the sum of the final answer, 27, and 15 is 55. Check that the difference of 55 and the final answer is 15.
total = green marbles + red marbles + blue marbles
55 = 15 + 12 + blue marbles
55 = 27 + blue marbles
55 - 27 = blue marbles
28 = blue marbles
Can someone solve these 1.) 4 + c =6
2.) x -7 =13
3.) 7c = 21
4.) x/5 = 9
Please and thanks u :)
Answer:
1. c=1
2. x=20
3. c=3
4. x=40
Step-by-step explanation:
Hope this helps, lemme know if you need this explained (:
Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. StartAbsoluteValue negative 3 EndAbsoluteValue + StartAbsoluteValue negative 5 EndAbsoluteValue = 3 + 5 = 8. The distance is 8 units. Riko correct? Explain why or why not.
Answer:
Riko is wrong because she uses the wrong formula.
Step-by-step explanation:
Given the coordinate points (-2, -3) and (2, -5)
We are to find the distance between the two points
Using the formula:
D = √(x2-x1)²+(y2-y1)²
From the coordinates x1 = -2, y1 = -3, x2 = 2 and y2 = -5
Substitute
D = √(2-(-2))²+(-5-(-3))²
D= √(4)²+(-2)²
D = √16 + 4
D = √20
D = √4*√5
D = 2√5
This shows that Riko is wrong because she uses the wrong formula.
Answer:
No, Riko is not correct. The points do not have the same x-coordinates. If you connect the points, they do not form a horizontal or vertical line, so you cannot count spaces or use absolute value to find the distance.
Step-by-step explanation:
Taras garden is 3/8 are red flowers and 3/6 are yellow flowers which is greater
Answer: 3/6
Step-by-step explanation:
If you convert them into decimals you get
3/8 = 0.375
3/6 = 0.5
Answer: 3/6 is greater
Step-by-step explanation:
I have a very relaxing break playing Solitaire as often as I could. After playing 500 games, my success rate is 49%. How many games do I need to win to increase my success rate to 50%?
Answer:
5 more games to be won for the 50% success rate.
Step-by-step explanation:
Total number games played = 500
Number of successful games = 49% of 500
= 500 × [tex]\frac{49}{100}[/tex]
= 245
Number of successful games for the success of 50% = 500 × [tex]\frac{50}{100}[/tex]
= 250
Therefore, number of game you have to win more = 250 - 245
= 5 games
Andre’s school orders some new supplies for the chemistry lab. The online store shows a pack of 10 test tubes costs $4 less than a set of nested beakers. In order to fully equip the lab, the school orders 12 sets of beakers and 8 packs of test tubes.
Write an equation that shows the cost of a pack of test tubes, , in terms of the cost of a set of beakers, .
Answer:
70
Step-by-step explanation:
Identify the slope and y-intercept. If the equation is in standard form, you may need to switch it to slope-intercept form. Sketch the graph of each line.
y = -4/ 5 x
Answer:
the slope is -4/5 and the y-intercept is 0
Step-by-step explanation:
Please answer all or what you can do <3
Answer:
+150
-15
-75
+35
-24.75
Hope this helps!!
Answer:
a. +$150
b. -15 yards
c.+35 degrees
e. -$24.75
I hope this helps:
what is 3a + 2b - 6c
Answer:
Step-by-step explanation:
a = 3
b = 2
c = 12
3a+2b-6c
3(3)+2(2)-6(12)
-59?
A train travel 20 miles in 15 minutes 40 miles in 30 minutes and 60 miles in 45 minutes which equation represents the speed of the train in miles per hour
Answer:
y = 80x
Step-by-step explanation:
In 30 minutes the train went 40 ml so in an hr the train would be at 80 ml
I need help understand
Answer: -18
2 1/4 = 9/4
9/4×-8/1
9×-8=-72
4×1=4
-72/4=-18
-18
I hope this helps:
plz i need help
In triangle ABC, the measure of ∠B is 90°, BC=16, and AC=20. Triangle DEF is similar to triangle ABC, where vertices D, E, and F correspond to vertices A, B, and C, respectively, and each side of triangle DEF is 1/3 the length of the corresponding side of triangle ABC. What is the value of sinF?
Answer:
Sin F = 0.6
Step-by-step explanation:
From triangle ABC, applying Pythagoras theorem to determine the length AB;
[tex]/hyp/^{2}[/tex] = [tex]/adj1/^{2}[/tex] + [tex]/adj2/^{2}[/tex]
[tex]/AC/^{2}[/tex] = [tex]/BC/^{2}[/tex] + [tex]/AB/^{2}[/tex]
[tex]/20/^{2}[/tex] = [tex]/16/^{2}[/tex] + [tex]/AB/^{2}[/tex]
400 = 256 + [tex]/AB/^{2}[/tex]
[tex]/AB/^{2}[/tex] = 400 - 256
= 144
AB = [tex]\sqrt{144}[/tex]
= 12
AB = 12, AC = 20, BC = 16
Therefore since ΔABC ≅ ΔDEF, and each side of triangle DEF is [tex]\frac{1}{3}[/tex] the length of the corresponding side of triangle ABC.
Then,
DE = [tex]\frac{1}{3}[/tex]AB = [tex]\frac{1}{3}[/tex] x 12
= 4
EF = [tex]\frac{1}{3}[/tex]BC = [tex]\frac{1}{3}[/tex] x 16
= [tex]\frac{16}{3}[/tex]
DF = [tex]\frac{1}{3}[/tex]AC = [tex]\frac{1}{3}[/tex] x 20
= [tex]\frac{20}{3}[/tex]
Then, applying trigonometric function to ΔDEF, we have;
Sin F = [tex]\frac{opposite}{hypotenuse}[/tex]
= [tex]\frac{DE}{DF}[/tex]
= 4 ÷ [tex]\frac{20}{3}[/tex]
= 4 x [tex]\frac{3}{20}[/tex]
= [tex]\frac{3}{5}[/tex]
Sin F = 0.6
In the diagram the length of segment VS is 39 units what is the length of segment TV
Answer:
33
Step-by-step explanation:
Answer: B. 38
Step-by-step explanation:
Got it right, Edge 2022.
