A = L*w
324 = L*w
324/w = L
P = 2*( L + w)
= 2 * ( 324/w + w)
= 648/w + 2w
= (648 + 2w^2)/w
I’m not sure how to answer this in a Graph, Diagram, and Algebra(algebraic reasoning too) for a,b,c, and d. Can someone please help me?
The outline that that illustrate how k values change so that the solutions are the ones in the question are as follows
(a) The number line solution contains zero
Using algebra, we have;
The given quadratic inequality is; -x² + 4 ≥ x + k
The number line solution is the expression of the solution on the number line.
We have;
-x² + 4 ≥ x + k
-x² - x + 4 - k ≥ 0
Dividing by (-1), we get;
x² + x - 4 + k ≤ 0
When - 4 + k = -2
k = 2, we get;
x² + x - 4 + 2 ≤ 0
x² + x - 2 ≤ 0
(x - 1)·(x + 2) ≤ 0
Given that the result of the product is less than zero, we have;
((-3) - 1)·((-3) + 2) > 0
Therefore, the solution are;
x ≤ 1, or x ≥ -2
Which gives
-2 ≤ x ≤ 1
Using diagram;The solution of the above inequality includes 0 as shown in the attached number line
Graphically;The graph of the inequality is plotted using MS Excel, showing the solution set, of -2 ≤ x ≤ 1
(b) There are no solution to the inequality
In the present case, we have;
((-1)² - 4×(-1) × (4 - k) < 0
17 - 4·k < 0
[tex]k > \dfrac{17}{4}[/tex]
Let k = 5, we have;
-x² + 4 ≥ x + k
-x² - x + 4 - 5 ≥ 0
-x² - x -1 ≥ 0
The discriminant, is (1² - 4×(-1)×(-1)) = -3 < 0, therefore, there are no real
roots to inequality, and -x² - x -1 is not equal to zero.
GraphicallyPlease find attached the graph of the function, which does not intersect with the x-axis, and therefore, has no values at which y = 0
(c) The solution is a single number
-x² + 4 ≥ x + k
When k = x + 5, we have;
0 ≥ x² + 2·x + 1
0 ≥ (x + 1)²
Therefore;
The only solution is; x = -1
Using diagrams:
Please find attached the solution of the function on the number line
GraphicallyThe graph of the function showing only one intercept is attached
Learn more here:
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package of 11 wristbands costs $405.94. At this rate, what is the cost of 1 wristband in dollars and cents?
Answer:
36.90
Step-by-step explanation:
HELP * PICTURE INSERTED*
Answer:
9m^2
Step-by-step explanation:
Area of triangle = 1/2 ×base×height
=1/2(2/3m ×27m)
Area of triangle =9m^2
Simplify the expression: 5+2a - (9+a)
Answer:
a - 4
Step-by-step explanation:
[tex]5+2a-(9+a)\\5+2a-9-a\\a-4[/tex]
Given m||n, find the value of x. (10X-40°)(x-140°
Answer:
1
Step-by-step explanation:
no es mi culpa que eres una caca
Andre rode his bike at a constant speed. He rode 1 mile in 8 minutes. Which of these equations
represents the amount of time tin minutes) that it takes him to ride a distance d of miles?
Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d
Lets test this equation out:
y = 8d 1 minute
y = 8
y = 8d 2 minutes
y = 16
I hope this helps! :)
Tim earns spending money by doing odd jobs for his neighbors. The table shows how much he is paid
for each job. Tim gets $12 for mowing lawn, $9 for washing cars, and $7 for walking dogs. Tim owes his mother $23. What possible combination of jobs could Tim perform to earn
enough money to pay back his mother? Write an addition equation using integers to represent the
situation. Will he have money left over? Select the correct choice below and fill in the answer boxes to complete your choice.
Answer:
D
Step-by-step explanation:
D is the only option where Tim has 23 or more dollars earned.
To show this I will solve each equation...
A) (-23)+9+9 = (-23)+18= -5
-5 < 0 so A doesn't work
B) (-23)+7+7+7 = (-23)+21= -2
-2 < 0 so B doesn't work
C) (-23)+12+9 = (-23)+21= -2
-2 < 0 so B doesn't work
D) (-23)+12+12 = (-23)+24= 1
1 > 0 so D does work!
* I am using 0 to compare each number with the result because Tim should have 0 or more dollars after paying his mom.
Hope this Helps!
Which expressions are equivalent to 2^5 2^4? CHECK ALL THAT APPLY!!!
2^20
2.2^9
2^10 • 2²
2^-2 2^11
(2.2.2.2.2).(2.2.2.2)
Answer:
last option is correct
...................................
I WILL GIVE 30 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
will give brain for right answer
Answer:
luna
Step-by-step explanation:
compare the y values when x=0. looking at the table, gracey was 1 lb at week 0, and looking at the graph, Luna was 2 lbs at week 0 (y-intercept) so luna was heavier at birth
(WILL GIVR BRAINLSIT TO BEST ANSWER)
Find the missing angle measures
Answer:
[tex]( < 1) + 127 = 180(straight \: line) \\ < 1 = 53 \\ \\ ( < 1) + 100 + ( < 2) = 180(triangle) \\ 53 + 100 + ( < 2) = 180 \\( < 2) = 180 - 153 \\ = 27 \\ \\ [/tex]
[tex]75 + ( < 1) + ( < 2) + ( < 3) = 180 \\ 75 + 53 + 27 + ( < 3) = 180 \\ ( < 3) = 180 - 155 \\ ( < 3) = 25[/tex]
[tex]( < 3) + ( < 4) + 75 = 180 \\ 25 + ( < 4) + 75 = 180 \\ ( < 4) = 180 - 100 \\ ( < 4) = 80[/tex]
Lucy has some number cards that each have a whole number on them.
If she chooses a card at random, the probability that the number on it is
even is
3/7
Work out the ratio of even cards to odd cards that Lucy has.
Give your answer in its simplest form.
PLEASE HELP BRAINLIST TO FASTEST AND CORRECT ANSWER
Answer:
Well lucy has a 50/50 chance to get a odd card so that is it
Step-by-step explanation:
The ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.
Let's denote the number of even cards as "x" and the number of odd cards as "y".
The probability of choosing an even card is given as [tex]\frac{3}{7}.[/tex]
The probability of choosing an even card is calculated by dividing the number of even cards by the total number of cards:
Probability of choosing an even card = Number of even cards / Total number of cards
Therefore, we have:
[tex]\frac{3}{7} = \frac{x}{x+y}[/tex]
To find the ratio of even cards to odd cards, we can set up the equation:
[tex]\frac{x}{y} = \frac{3}{4}[/tex]
Therefore, the ratio of even cards to odd cards that Lucy has is 3:4 in its simplest form.
To learn more on probability click:
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#SPJ4
y=−4x−3
y=−2x+1
answer asap
Answer:
Use the system of equations method, this is in y= form so it can be substituted or graphed. Lets do using the substitution, so substitute the second euqation into first...
y=−4x−3 y=−2x+1
-2x+1=-4x-3 substitute
-2x+4x=-3-1 move and combine like terms
2x=-4 divide
x=-2
Have a gud day!
Use the Distributive Property to
simplify the following:
7(y + 3) =
Answer:
7y+21
Step-by-step explanation: i solve it hope this help.
Answer:
[tex]\bold{7y+21}[/tex]
Step-by-step explanation:
Hi there!
Let's solve this math problem by using the Distributive Property.
All we have to do is "distribute" 7 (multiply it by all the terms inside the parentheses):
[tex]\bold{7(y+3)}[/tex][tex]\bold{7y+21}[/tex]Hope it helps! Enjoy your day!
~ Just a teenage girl willing to help
[tex]\bold{Besties4Ever:-):-)}[/tex]
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Learn more about Trigonometry ratios on:
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A trail mix recipe includes granola, oats, and almonds. There are
135 Calories in a __
1
4-cup serving of the trail mix. How many Calories
are in 2 cups of trail mix?
what is the answer plz ?
Answer:
1080
Step-by-step explanation:
in 135 calories there is 1/4 cup
? there is 2 cup
135×2=270 ÷1/4
270×4=1080 cups of trail mix
Is it possible to make a triangle with sides lengths of 12, 16 and 20? If the answer is yes, is the triangle a right triangle?
Answer: Yes it can form a triangle and its a right triangle.
Step-by-step explanation:
Using the Pythagorean theorem we can see that the longest side (20) is our hypotenuse. From there you just check if its true. :)
can anyone help me ?
Find the missing angle measure.
Answer:
x° = 99°
Step-by-step explanation:
The polygon is a hexagon and the sum of its internal angles is:
[tex]180(n-2)=180(6-2)=180(4)=720^{0}[/tex]
subtract the 5 known angles:
[tex]x^{0} =720-145-164-59-132-121=99^{0}[/tex]
Hope this helps
make v the subject of the formula
[tex]T =\dfrac 5{V+1}\\\\\\\implies VT+T = 5\\\\\implies VT = 5-T\\\\\implies V =\dfrac{5-T}T[/tex]
Step-by-step explanation:
One way we can make V the subject of the formulas by rearranging the terms mathematically to get V on one side of the equation and the other terms on the other side:
since T = 5 ÷ (V + 1) [multiply both sides by (V+1)]
T (V + 1) = 5 [divide both sides by T]
(V + 1) = 5 ÷ T [subtract 1 from both sides]
V = (5 ÷ T) - 1 OR [tex]V = \frac{5}{T} - 1[/tex]
If we want the RHS with over a single denominator we can write it as
V = (5 ÷ T) - (T ÷ T) [rewrite 1 in terms of T (T/T)]
V = (5 - T) ÷ T OR [tex]V = \frac{5 - T}{T}[/tex]
40 is a multiple of with number . 6,11,8,15
Answer: 8
Step-by-step explanation: 8 * 5 = 40
The rest don't work.
Would appreciate brainliest <3
Answer:
8
Step-by-step explanation:
You can do 8 *5
simplify √5(8+3√6)
I cant figure this problem out can someone help me?
Multi-Step:
Leigh wants to buy a bike for $429 and a helmet for
$38. If she saves $8 a week, about how many weeks will it take her
to save the money to buy the bike and helmet?
330
Answer:
roughly 58
Step-by-step explanation:
the price of the bike added to the price of the helmet is 467 dollars, and you divide it by the 8 dollars a week to get roughly 59 weeks, which it should all look like this:
429+38=467
467÷8=58.375 (round up)
Answer:
about 59 weeks
Step-by-step explanation:
A line has this equation y=1/4x+6
Write an equation for the perpendicular line that goes through (5,-6)
The sports stores price went up in 2013 a bat that cost $45 in 2012 now cost $55 what is the percent of change
Answer:
10/45 = 22.2% change in price
Step-by-step explanation:
new-old/old
Levi measured the auditorium and made a scale drawing. He used the scale 23 inches : 8 feet. If the actual width of the stage is 16 feet, how wide is the stage in the drawing?
Answer:
the drawing would be 46 inches
HELP ME PLEASE!!!!!!!!!!!!
i frist 1 1 2
Step-by-step explanation:
Y
Answer:
Step-by-step explanation:
i think for number 1 is growth and number 2 decay and for 3 growth...hope this helps!
Daniella has 130 baseball cards. She buys new cards to her collection every month. Which arithmetic sequence describes the number of cards in her collection?
Answer:
a1=130;an=an−1+10
Step-by-step explanation:
The answer is the third one.
She starts with 130
a1 = 130
She adds 10 every month.
So you take the number she had last month (represented by a_n-1) and adds 10.
Answer
a1 = 130
an = an_1 + 10
C
Someone pls pls pls help ASAP
I’ll give brainliest I promise just pls help me
Answer:
Answer attached below.
By VCR Sales A dealer carries two models of VCRs. One sells for
$300 and the other sells for $225. The dealer sells 22 VCRs for a
total revenue of $5700. How many of each type did the dealer sell?
Answer:
2333
Step-by-step explanation:
