Answers
Answer:
Lesser x = -10
greater x = -2
Step-by-step explanation:
Find the zeroes:-
[tex]f(x)=(x+6)^{2} -16=0[/tex]
[tex](x+6)^{2} -16=0[/tex]
[tex](x+6)^{2} =16[/tex]
[tex]\sqrt{(x+6)^{2} }=\sqrt{4^{2} }[/tex]
[tex]x+6=[/tex] ± [tex]4[/tex]
[tex]x+6=4[/tex]
[tex]x=4-6[/tex]
[tex]x=-2[/tex]
or, [tex]x+6=-4[/tex]
[tex]x=-4-6[/tex]
[tex]x=-10[/tex]
So, [tex]x=-10, \: or\: x=-2[/tex]
OAmalOHopeO
Answer:
LESSER X=-10
GREATER X=-2
Hope it helps:)))
have a marvellous day every single day!
Step-by-step explanation:
Related Questions
The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.
1. Find the temperature in Celsius if it is 50°F.
2. Find the temperature in Celsius if it is -10°F.
Answers
Answer:
1.) 10
2.) 14
Step-by-step explanation:
2. -10-32= -42•5/9= -23.33*C
Choose the correct equation. Then solve the equation.
A sales representative earns weekly base salary of $250 and a commission of 8% on her weekly sales. (A commission is money earned that equals a percent of the sales.) At the end of one week, she earned $410. How much did she sell that week? Let s represent the total sales.
A. 250 + 0.08s = 410
B. 250 + 410 = 0.08s
Answers
-250. -250
0.08s= 160
0.08s/0.08s 160/0.08s
S=2000
Quadrilateral
A
R
M
Y
ARMYA, R, M, Y is rotated
9
0
∘
90
∘
90, degrees about the origin.
Answers
Answer:
See explanation
Step-by-step explanation:
From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.
The question is incomplete; so, I will give a general explanation.
The rule for 90 degrees rotation about the origin is:
[tex](x,y) \to (-y,x)[/tex]
For instance:
A point (4,6) will become (-6,4) after rotation.
Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.
Answers
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196
Answer:
Step-by-step explanation:
Olivia pays $189 for a painting, including tax.
If the actual price is $179.50, what is the sales tax rate?
Answers
1. you would take 189 and subtract 179.50
2. from that you would get 9.50
3. you would then divide 9.50 by 179.50
4. therefore the tax rate would be 0.05 or 5%
The sales tax rate = 5.29%
What is the formula for tax rate?"Tax rate = (Tax amount / Price before tax) × 100% "
What is the formula for tax amount?"Tax amount = Final price - Price before tax"
For given question,
Olivia pays $189 for a painting, including tax.
⇒ Final price = $189
The actual price of the painting is $179.50
⇒ Price before tax = $179.50
Using the formula of tax amount,
⇒ Tax amount = Final price - Price before tax
⇒ Tax amount = 189 - 179.50
⇒ Tax amount = 9.5
Now we find the sales tax rate.
Using the formula of tax rate,
⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%
⇒ Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]
⇒ Tax rate = 5.29%
Therefore, the sales tax rate = 5.29%
Learn more about the tax rate here:
https://brainly.com/question/16890531
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what is the gradient?
Answers
Answer:
[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]
Answer:
The gradient (slope) is -4.
Step-by-step explanation:
Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3). As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8. Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.
Greg purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Greg paid.
Answers
Make sense? If not, ask more.
Mary
Answer:
c = 4n
Step-by-step explanation:
The total cost (c) is going to be of the 4 notebooks together
We don't know how many notebooks Greg got, so it's represented by n.
It doesn't matter how many notebooks Greg purchased, because each of them were $4.
So to represent the total cost of the notebooks, you would write c = 4n
Find the missing numbers.
Answers
1. 6
2. 1
3. 4
Answer:
Step-by-step explanation:
1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)
The equation below shows the relationship between the number of apples purchased, a, and the total cost
of the apples in dollars, c. Based on the equation, what is the cost per apple, in dollars?
a/5 = c/4
a. $0.80
b. $1.25
c. $4.00
d.$ 5/3
Answers
Answer:
C
Step-by-step explanation:
a (5) = c (4)
5 x 4 = 20
20 (total) divided by the 5 apples is $4.
What is 1/2[4x + 6(2 + 2x)]
Answers
Answer:
8x+6
Step-by-step explanation:
1/2[4x + 6(2 + 2x)]
Work inside out
Distribute inside
1/2[4x + 12 + 12x)]
Combine like terms
1/2[16x +12]
Distribute
8x+6
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{\dfrac{1}{2}[4x+6(2+2x)] }[/tex] [tex]\sf{\dfrac{1}{2}[4x+12+12x] }[/tex] [tex]\sf{\dfrac{1}{2}[16x+12] }[/tex] [tex]\sf{\dfrac{1}{2}[2(8x+6)] }[/tex] [tex]\sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6) }[/tex] [tex]\sf{ 8x+6 }[/tex][tex]\sf{ }[/tex]
questions
solve for k.
4m+5k=3t
solve for b.
a/7 + b/3 = x/21
Answers
Explanation: Solve as if you knew the numbers
Explanation: Solve as if you knew the numbers
PLEASE HELP
Write an equivalent expression for -5x+3×2.5x
Answers
Answer:
2.5x
Step-by-step explanation:
-5x+3*2.5x
Multiply
-5x+7.5x
Combine like terms
x(-5+7.5)
2.5x
Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.
Answers
Answer:
325
Step-by-step explanation:
You must have heard about Arithmetic Progressions (AP)
Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.
Our very own counting numbers form AP
For example :-
2 = 1 + 1
3 = 2 + 1
4 = 3 + 1
The number in bold (1) is that constant number which is added to a number to form its successive number.
To find the sum of series forming AP, we use the formula :-
[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]
here,
n is the number of termsa is the first number of the series an is the last number of the seriesSo we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).
and n is 25
[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]
[tex] = \frac{25 \times 26}{2} [/tex]
[tex] = 25 \times 13[/tex]
[tex] = 325[/tex]
So, the value of S comes out to be 325.
Answer:
s= 325
Step by step explanation:
Add all numbers 1 to 25 to get 325.
please help me answer this question quickly
Answers
Answer:
A and D is true.
(see how to solve in pic)
Please answer my question and explain it.
Answers
================================
Work Shown:
4 1/2 = 4 + 1/2 = 4 + 0.5 = 4.5
In short, 4 1/2 cups is the same as 4.5 cups
---------
1 cup = 8 fluid ounces
4.5*(1 cup) = 4.5*(8 fluid ounces) ....... multiply both sides by 4.5
4.5 cups = 36 fluid ounces
Answer:
D
Step-by-step explanation:
Can Some1 Tell Me the answer?
Answers
Answer: D
Step-by-step explanation:
Answer: D(2.8a-12a-3.6
hope that helped <3
Express the extended fraction at the right as a simple fraction in lowest terms.
Answers
Answer: 5/2
Yes it has to be 5/2
Answer:
5/2
Step-by-step explanation:
Stacey earns money by walking dogs she walks the same route seven days a week each week she walks a total of 56 miles what is her walking rate in miles per day
Answers
Answer:
8
Step-by-step explanation:
56/7 = 8
56 miles a week/ 7 days in a week = 8 miles per day
Andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flower per cupcake is needed for Corey’s recipe?
I will give Brian list plz help
Answers
Answer:
The Answer is 0.03
Step-by-step explanation:
Andrea = 3.12/8 flower per cupcake
3.12/ 8 = .39
Corey = 2.25/ 7 flower per cupcake
2.25/ 7 = .36
So Corey's recipe needs
( 0.39 - 0.36) = 0.03 flower per cupcake
Can someone please help me with this question I need to find the unit rate.
Answers
First we have to take any point, I'll take (5,3).
X-axis represents number of pounds and y-axis represents total cost (in $).
So, 5 pounds = $3
=> 1 pound = $3/5
=> 1 pound = $0.6
=> 1 pound = 60 cents
Answer:
60c per pound.
Step-by-step explanation:
If 5lbs cost 3 dollars, 1lb = 3/5
3/5 = 0.6$
60c
(01.01 LC)What should be added to 3 to make the sum 0?
−3
−2
0
3
Answers
Answer:
-3
Step-by-step explanation:
math
Answer:
-3
Step-by-step explanation:
Adding -3 to 3 makes the sum equal to 0:
3 + (-3) = 3 - 3 = 0
Which coordinate grid shows Point A at (0.25, −1.75)?
Answers
Step-by-step explanation:
If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this
please help me answer for this quickly
Answers
2, never
3, sometimes
(i think)
I NEED HELP PLEASEEEE
Answers
Answer:
D
Step-by-step explanation:
a,b,c are the same thing just in different forms so d is the right one.
also a is suppose to be a/1 i think for question d
Please answer this question will give brainiest please answer
Answers
Answer:2 and 3
Step-by-step explanation:
Good luck on your assingment hope this helps :)
11 and 14 please!! I’ll give Brainlist please
Answers
Answer:
11. p-(780/6) or p-130
14. 12
Step-by-step explanation:
11. 780/6 because there are 6 people so we split it evenly.
14. 24/2 = 12
MacKenzie surveys 80 of her classmates and finds that 65% of them like sports. She also finds that 75% of her 64 relatives like sports. How many more of her classmates like sports as compared to her relatives? Pls help
Answers
Answer:
65%×80=52
(80-52=28) no of classmates who liked sports
75%×64=48
(64-48=16) no of relatives who liked sports
no of classmates who liked sports - no of relatives who liked sports
= 28-16 = 12
Hence, 12 more of her classmates like sports as compared to her relatives
There are total 4 more of her classmates like sports as compared to her relatives.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the information given in the question,
Total number of students surveyed = 80
Percentage of students who like sports = 75%
So,
(80 × 65)/100
= 5200/100 = 52
Total number of Relatives = 64
Percentage of relatives who like sports = 75%
So,
(64 × 75)/100
= 4800/100 = 48
Then, the number more of her classmates like sports compared to relatives will be:
52 - 48
= 4
To know more about Percentage:
https://brainly.com/question/29306119
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Johnny rode his bicycle down a hill. It took him 15 seconds to ride from the top of the hill to the bottom of the hill. The equation h = -3t + 45 models his height, h, in feet, above the bottom of the hill as a function of the time, t, in seconds, after he started riding down the hill. Part A: What is the average rate of change in Johnny’s height? Part B: What is the height of the hill? Part C: How long will it take Johnny to travel 1/3 of the distance down the hill?
Answers
From the height function, we get that:
a) The average rate of change is of -3 feet per second.
b) The height of the hill is of 45 feet.
c) It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
-------------------------------
The height, after t seconds, is given by:
[tex]h(t) = -3t + 45[/tex]
-------------------------------
The height of the hill is [tex]h(t)[/tex] when [tex]t = 0[/tex], thus [tex]h(0) = -3(0) + 45 = 45[/tex]. 45 feet, which means that the the answer for option B is 45 feet.-------------------------------
Item a:
The initial height is of 45 feet, at [tex]t = 0[/tex] seconds.The final height is of 0 feet, at [tex]t = 15[/tex] seconds.Thus, the average rate of change is given by:[tex]A = \frac{0 - 45}{15 - 0} = -\frac{45}{15} = -3[/tex]
The average rate of change is of -3 feet per second.
-------------------------------
Item c:
One-third of the distance of 45 feet is [tex]\frac{1}{3}45 = 15[/tex] feet, thus, we have to find the time at which he is at 30 feet, that is, t for which [tex]h(t) = 30[/tex][tex]h(t) = -3t + 45[/tex]
[tex]30 = -3t + 45[/tex]
[tex]3t = 15[/tex]
[tex]t = \frac{15}{3}[/tex]
[tex]t = 5[/tex]
It will take Johnny 5 seconds to travel 1/3 of the distance down the hill.
A similar problem is given at https://brainly.com/question/20732437
Name the property shown by each statement:
(commutative, associative, identity, or multiplicative property of zero)
1. 7 + 10 = 10 + 7
2. 4 • 1 = 4
3. 10 + 8y = 8y + 10
Answers
Answer:
1. commutative
2. identity
3.multiplicative
hope it helps^-^
Answer:
1. commutative
2. identity
3.multiplicative
Step-by-step explanation:
!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!
Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answers
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750
Answer:
Rate of Change: $60 Per year
Step-by-step explanation:
We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.
So,
2000:750
2001:810
2002:870
2003:930
2004:990
2005:1050
2006:1110
2007:1170
2008:1230
2009:1290
2010: 1350
You can graph it out with that, now.
