The ordered pairs (−4,−3)
, (−2,−2), (4,1), (6,2), and (8,3) represent a function. What is a rule that represents this function?
Write an inequality for the following statement:
The difference between twice a number and 6 is at least 35.
6−2n≥35
2n−6≥35
2n−6≤35
6−2n<35
The formula below represents the standard form of a quadratic equation.
ax2+bx+c=0
Solve for b.
b=−ax2−cx
x=−ax2−c
x=−ax2−cb
b=x−ax2−c
The tables below each follow a different pattern
Which table follows the input-output rule: “Each output is one less than double the input”
table 2
table 4
table 1
table 3
Which inequality accurately represents the graph shown below?
Jordan has a part-time job which pays $75 a week. He has already saved $55 toward the purchase of a $400 iPhone. Write an inequality you could use to find the minimum number of weeks Jordan must work to have enough money to buy the iPhone.
55w+75≥400
75w+55≤400
55w+75≤400
75w+55≥400
Answers
The equations and inequality expresses the relationship between the variables.
The correct responses are;
First part; The rule that represent the function is; y = 0.5·x - 1Second part; the correct option is the inequality; 2·n - 6 ≥ 35Third part; [tex]\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}[/tex]Fourth part; Table 4Fifth part; [tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]Sixth part; 75·w + 55 ≤ 400Reasons:
First part;
The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;
The rate of change of the function, m, is therefore;
[tex]\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5[/tex]
The slope and intercept form of the equation of the function is therefore;
y - 3 = 0.5·(x - 8) = 0.5·x - 4
y = 0.5·x - 4 + 3 = 0.5·x - 1
The rule that represent the function is; y = 0.5·x - 1
Second part;
2·n represent twice the number
The difference between twice the number and 6 = 2·n - 6
At least 35 = ≥ 35
Therefore, the inequality is; 2·n - 6 ≥ 35
Third part;
The given quadratic equation is; a·x² + b·x + c = 0
Therefore;
[tex]\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}[/tex]
Fourth part;
The best correct option is table 4, given that the table is as follows;
[tex]\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right][/tex]
Fifth part;
The y-intercept of the graph is -0.5
The slope is -4 ÷ 8 = -0.5
Therefore, the equation is; y = -0.5·x - 4
The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;
[tex]\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}[/tex]
Sixth part;
The amount Jordan part-time job pays = $75
The amount he has already saved = $55
The cost of the iPhone = $400
Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;
75·w + 55 ≤ 400
Learn more about writing equations and inequalities here:
https://brainly.com/question/14321394
Related Questions
I have three bits of tinsel measuring the following: 2.3m, 45cm and 750mm. How long is my tinsel altogether in metres?
Answers
——————-
750 mm = 0.75 m
45 cm = 0.45 m
2.3 m
——————
Add and you should get 3.5. The tinsel is 3.5 meters long.
One serving of ice cream has 320 calories. If there are 6 servings in the container and you ate of the container, how many calories did you eat?
Answers
Answer: You ate 1920 calories
Step-by-step explanation:
It’s pretty simple,
all you have to do is multiply 6 by 320.
this then gets you 1920
Answer:
1920 calories
Step-by-step explanation:
6servings*320cal/servings = 1920cal (servings cancel)
Which of the following ordered pairs are solutions to the system of equations below?
Answers:
A.) (3.5, 5.8)
B.) (3.5, -5.8)
C.) (-3.5, -5.8)
D.) (-3.5, 5.8)
Answers
The answer is B. 3.5, -5.8
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?
Answers
you can come to this conclusion by calculating 13/52
3. The sum of the second term and the ninth term of an arithmetic sequence is -5. The sum of the third and fourth terms of the same sequence is 7. Find the first term of the sequence.
Answers
Answer:
First term of the sequence is [tex]11[/tex]
Step-by-step explanation:
Let [tex]a[/tex] be the first term and [tex]d[/tex] be the common difference
We have
The sum of the second term and the ninth term of an arithmetic sequence is [tex]-5[/tex]
[tex]a+(2-1)d+a+(9-1)d=-5\\\\2a+9d=-5---eqn1[/tex]
The sum of the third and fourth terms of the same sequence is [tex]7[/tex]
[tex]a+(3-1)d+a+(4-1)d=7\\\\2a+5d=7---eqn2[/tex]
eqn 1 - eq2
[tex]4d=-12\\\\d=-3[/tex]
Substituting in eqn 1
[tex]2a+9\times -3=-5\\\\2a=22\\\\a=11[/tex]
First term of the sequence is [tex]11[/tex]
What is the product? (x 3)(2 x minus 1) 2 x squared minus 3 2 x squared 6 x 2 x squared 5 x minus 3 2 x squared 6 x minus 3.
Answers
The product of the function is 2x^2+ 5x - 3
We are to find the product of the functions x + 3 and 2x -1
let f(x) = x+ 3g(x) = 2x - 1Taking the product:
f(x)g(x) = (x+3)(2x -1)
f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)
f(x)g(x) = 2x^2 - x + 6x - 3
f(x)g(x) = 2x^2+ 5x - 3
Hence the product of the function is 2x^2+ 5x - 3
Learn more on product of functions here: https://brainly.com/question/25638609
Answer:
c
Step-by-step explanation:
HELP PLZ I NEED THIS DONE ASAP
Answers
[tex]\text{Given that,}\\\\y^2 +9y +3 \\\\\text{when}~ y = -2,\\\\(-2)^2 +9(-2) +3 = 4-18+3 = 7 -18 = -11,[/tex]
Write the equation of the line, in slope-intercept form, with the
following information:
slope:
3
point: (6,-1)
Answers
Answer:
y=3x-19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=3(x-6)
y+1=3(x-6)
y=3x-18-1
y=3x-19
can you help me solve 4^3/4^4?
Answers
Answer:
64/256
Step-by-step explanation:
4*4*4=64/4*4*4*4=256
Answer: 0.25
Let’s break the question down.
4^3 (4 x 4 x 4) = 64.
4^4 (4 x 4 x 4 x 4) = 256.
64/256 = 0.25.
33 + 55 = __ (3+5)
Help me with this
Answers
Answer:
11 I think and hi how are u ::):):):):):):):):):):):):):
What is the perimeter of a rectangle whose length is twice the width? Width = 7 cm.
Answers
Answer:
42 cm is the perimeter
Step-by-step explanation:
Brainleast answer mo nalang
Answer:
P = 42 cm
Step-by-step explanation:
The perimeter (P) is the sum of the 4 sides of the rectangle with opposite sides being congruent.
Given width = 7 cm then length = 2 × 7 = 14
P = 7 + 7 + 14 + 14 = 42 cm
WILL GOVE 50 POINTS AND BRAINLIEST PLZZZZZZZZZZZZZZZZZ HELP
Examine the diagram of a chloroplast.
Which choice best describes the function of the part labeled B?
enclosed space containing proteins used in ATP formation
membranes enclosing open space
layered stacks of membranes
fluid space that contains DNA, ribosomes, and other enzymes
Answers
Answer:
fluid space that contains DNA, ribosomes, and other enzymes
Step-by-step explanation:
B is points towards the "empty" space, meaning its Stroma.
Stroma defintion: involved in the synthesis of organic molecules from carbon dioxide and water or the fluid of the chloroplast surrounding the thylakoid membrane;
Let's look at the answer choices.
A. enclosed space containing proteins used in ATP formation
B. membranes enclosing open space
C. layered stacks of membranes
D. fluid space that contains DNA, ribosomes, and other enzymes
Obviously not C.
A is Synthase.
B is the whole thing.
It is D.
(BTW THIS IS MATH!! Not science!! Just in case you have more questions!)
Answer:
raw
Step-by-step explanation:
im having a mental breakdown can someone please just do this for me
Answers
when you add a coefficient (number) in front of |x|, it will either make the slopes steeper or more flat. the larger the value of the coefficient, the steeper the slope will be (vice versa for a coefficient smaller than 1, which would make the slope more flat than the parent(original) function).
because these are absolute value functions, they will have two slopes. one slope for the end going up from left to right, and one for the end going down from left to right. this means that one slope must be positive and the other slope must be negative for each function.
with this in mind, the slopes of y = 2|x| are m = 2 and m = -2. the coefficient of 2 narrows the function by a factor of 2 (it is twice as narrow as the parent function). the same rules apply to y = 4|x| with the slopes of this function as m = -4 and m = 4 (it is 4 times narrower than the parent function).
with the fraction coefficients, the function is being widened. therefore, the slopes of y = 1/2 |x| are m = -1/2 and m = 1/2. the slopes of y = 1/5 |x| are m = -1/5 and m = 1/5.
Answer:
it only changes the magnitude.
for any general a let f(x) be =a|x| , a>0
so for any x say ±3 your function will throw out a×3.
A car is 12 feet long. Levi makes a scale model of the car at 1:8 of its actual size. How long is the model
Answers
Answer:
1.5 feet
Step-by-step explanation:
Answer:
1.5 feet or 3/2 feet
Step-by-step explanation:
pls answer don’t scam
Answers
Answer:
y=x
step by step:
graph equation is y=mx+c
y intercept (c) is 0
gradient (m) is 1
gradient is represented as (m), so the equation is just y=1x, simplified-> y=x
Answer:
money = 2×tickets
Step-by-step explanation:
For 1 ticket sold, $2 is collected. for 8 tickets sold, $16 is collected. The relationship appears to be proportional with a constant of proportionality of $2 per ticket.
The axes are labeled "money" and "tickets", so we can write the equation ...
money = 2×tickets . . . . . where money is in dollars
__
If you like, you can use y to represent dollars collected, and x to represent tickets sold. Then the equation is ...
y = 2x
Given that f(x) = 10 - 3x and g(x) = x-3/2 find the value of fg(4)
Answers
Answer:
-1
Step-by-step explanation:
(fg)(x) is the product of f(x) and g(x).
We can find (fg)(4) by first finding f(4) and g(4) and then multiplying the results together:
f(x) = 10 - 3x, so f(4) = 10 - 3(4) = -2, and
g(x) = x - 3/2, so g(4) = 4 - 3/2 = 1/2
Then (fg)(4) = (-2)(1/2) = -1
A 12 ounce Starbucks latte costs $3.36. What is the constant of proportionality that relates the cost in dollars, y, to the number of ounces, x, in a Starbucks latte?
Answers
Answer:
Y = X times 0.28
Step-by-step explanation:
1. You set it up as a proportionality
12/1 and 3.36/x
The x stands for how much money it takes to get 1 ounce
2. You do the old man line.
12 times x = 3.36 times 1
12x = 3.36
3. Now you divide 3.36 by 12
3.36 divided by 12
.28
4. You insert 0.28 into the problem
12 times 0.28 = 3.36
X = 0.28
So 1 ounce costs $0.28
So Y = X times 0.28
Answer:
Step-by-step explanation:
. .. . . . . . .. . .. . so easy
Answers
Answer: 7
Step-by-step explanation: if it's so easy, why do you need brainly? (not judging, just confused why you'd waste points)
Does anybody know how to does this pleaseee helppppp. The first 2 my teacher did them for me but I’m still confused pleaseee helpppp
Answers
Answer:
below
Step-by-step explanation:
A triangle can only be a triangle if the two shortest sides add up to be greater than the longest side.
For example on the first one, the segments 1 2 and 3 will not make a triangle as 1 + 2 = 3 and if the two smallest sides of a triangle are equal to the longest side it will not be a triangle at all.
So to make this easy, out of the three numbers given: add the two smallest numbers. This number has to be greater than the third number given, and it cannot be equal.
For question three: 3+9 = 12
And 12 is greater than 11, therefore this can make a triangle.
PLEASE HELP QUESTION IN PICTURE
Answers
Answer:
y=4x+5
Step-by-step explanation:
Can someone please give me the (Answers) to this? ... please ...
Answers
What is another word for change in y
Answers
When finding the slope of real-world situations, it is often referred to as rate of change. change in y Rate of change = change in x change in height change in time The average rate of change or a rider between 0 and 5 seconds is —24 ft/s. magnitude relation. Another synonym is "velocity".
Hope this helps
20x+10x-8=0 solution set of equation
Answers
2. Isolate the variable (30x =8)
3. Divide both sides by the coefficient (x= 8/30)
4. Simplify (x= 4/15)
Answer:
0.2666666666Step-by-step explanation:
20x+10x-8=0
first of all, you will +8 on both sides so there are no negative numbers onany side
20x+10x=8
now gather everything up
30x=8
divide everything by 30 now to get the value of 1x
30x/30=x
8/30=0.2666666666
Simplify Simplify 6 - 23 + (-9 + 5) · 2.
Answers
Answer:
The answer is −42
Zack buys some potatoes from a store. The potatoes cost $6.78 for 3 pounds. He wants to buy more vegetables, but at the same price per pound as the potatoes. Which of the following vegetables could Zack buy?
Answers
Answer:
well we dont know other vegis are going for each pound is 2.26 but any vegtable thats is going 2.26 per pound works
Step-by-step explanation:
A 26 foot ladder is set against the side of a house so that it reaches up 24 feet. If Mila grabs the ladder at its base and pulls it 12 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 12 ft.) Round to the nearest tenth of a foot.
Answers
Answer:
13.9 ft
Step-by-step explanation:
What is the area of a rectangle with the following measurements:
Answers
Answer:
24x^5
Step-by-step explanation:
3 x 8 = 24
x multiplied by x^4 = x^5
(the exponents add to each other when multiplied)
7363626x726=???? Helpppppp
Answers
Answer:
The answer is 5345992476
Step-by-step explanation:
Which expression is equivalent to 24 1/3?
Answers
Answer:
2∛3
Explanation:
∛24=(∛8)(∛3)=2∛3
Hopes This Helps :)
19=5+7x i need explanation it’s two step equation btw
Answers
Answer:
x = 2
Step-by-step explanation:
subtract both sides by 5. left with 14=7x. divide both sides by 7. x=2
Answer:
[tex]\boxed{\sf x=2}[/tex]Step-by-step explanation:
[tex]\sf 19 =5+7x[/tex]
First, let's swap sides so that all variable terms are on the left hand side.
[tex]\sf 5+7x=19[/tex]
Subtract 5 from both sides:
[tex]\sf 7x=19-5[/tex]
Subtract 5 from 19:
[tex]\sf 7x=14[/tex]
Divide both sides by 7:
[tex]\sf \cfrac{7x}{7} =\cfrac{14}{7}[/tex]
[tex]\sf x=2[/tex]
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