find the zeros of the function f(x) = (x+3)^2-4=0
Answers
Answer:
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Step-by-step explanation:
[tex]f(x)=(x+3)^2-4[/tex]
[tex]0=(x+3)^2-4[/tex]
[tex]0=(x^2+6x+9)-4[/tex]
[tex]0=x^2+6x+5[/tex]
[tex]0=(x+1)(x+5)[/tex]
[tex]x=-1[/tex] and [tex]x=-5[/tex]
Answer:
[tex]x=-1,\:x=-5[/tex]
Step-by-step explanation:
Solve the equation:
[tex]f(x)=\left(x+3\right)^2-4=0[/tex]
[tex]\left(x+3\right)^2-4=0[/tex]
[tex]\mathrm{Add\:}4\mathrm{\:to\:both\:sides}[/tex]
[tex]\left(x+3\right)^2-4+4=0+4[/tex]
[tex]\left(x+3\right)^2=4[/tex]
[tex]x+3=\sqrt{4}:x=-1[/tex]
[tex]x+3=\sqrt{2^2}[/tex]
[tex]x+3=2[/tex]
[tex]x+3-3=2-3[/tex]
[tex]x=-1[/tex]
[tex]x+3=-\sqrt{4}:x=-5[/tex]
[tex]x+3=-\sqrt{4}[/tex]
[tex]x+3=-2[/tex]
[tex]x+3-3=-2-3[/tex]
[tex]x=-5[/tex]
Now, look at the points plotted on the graph:
Related Questions
solve by factoring 9x^4-16=0
Answers
please help!!! Anyone know this? Thanks!!!!!!!
Answers
Answer:
[tex]i\sqrt4 ~ \text{and} ~ 2i[/tex]
Step-by-step explanation:
[tex]\sqrt{-4}\\\\=\sqrt{-1} \sqrt4\\\\=i\sqrt4\\\\=2i[/tex]
How do I write 4 times difference of a number and 8
Answers
Answer:
4(n-8)
Step-by-step explanation:
4(n-8)
I think it'd be written like this
What is f(-3) if f(x)= 1/3x
3
1
-1
-3
Answers
Answer:
-1
Step-by-step explanation:
1/3(-3) cancels the common factor of 3, which leaves the answer as -1.
In the diagram below, TU is parallel to Q R. If
RU = 12, TU = 25, and QR = 40, find the length of
SU. Figures are not necessarily drawn to scale. State
your answer in simplest radical form, if necessary.
Answers
Given that ΔQSR and ΔTSU are similar triangles, therefore, the length of SU is: 20.
Recall:
When two triangles are similar, the ratio of their corresponding side lengths are equal.Thus, given the figure attached below, ΔQSR and ΔTSU are similar to each other.
Therefore:SR/SU = QR/TU
SR = RU + SU = 12 + SU
SU = ?
QR = 40
TU = 25
Plug in the values
[tex]\frac{12 + SU}{SU} = \frac{40}{25}[/tex]
Cross multiply[tex](12 + SU)25 = 40(SU)\\\\300 + 25SU = 40SU\\\\300 = 40SU - 25SU\\\\300 = 15SU\\\\\mathbf{SU = 20}[/tex]
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which statement is true about the function shown in the graph?
please help and only answer if you're for sure it's correct
Answers
Answer:
the function is increasing
Write an equation in slope-intercept form of the line that passes through (1,-9) and (3,-7)
Answers
Answer:
Y= x-10
Step-by-step explanation:
M= Y2-Y1/X2-X1
= -7-(-9)/3-1
= 2/2
= 1
sub x=1 and y=-9 into Y=MX + C
-9=1+C
-9-1=1+C-1
C=-10
What is the sum of all integers which are not divisible by 5 or 9 between 1 and 100?
Answers
The sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
To determine what is the sum of all integers which are not divisible by 5 or 9 between 1 and 100, the following calculation must be performed:
1 + 2 + 3 + .... + 100 = 5050 (5050 - 9 - 18 - 27 - 36 - 45 - 54 - 63 - 72 - 81 - 90 - 99 - 5 - 10 - 15 - 20 - 25 - 30 - 35 - 40 - 50 - 55 - 60 - 65 - 70 - 75 - 80 - 85 - 95 - 100) = X 3541 = X
Therefore, the sum of all integers which are not divisible by 5 or 9 between 1 and 100 is 3541.
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You run a florist shop that both operates at a physical location and sells over the internet. Which search problem must you consider with mobile devices, but not with laptop and desktop computers?.
Answers
The search problems to consider with mobile devices, but not with laptop and desktop computers is
Your website must provide directions to your store's brick and mortar location
In the growing trend in technology, people prefer to have access to everything in mobile devices as they come handy. The chances of users visiting a website via mobile devices is more compared to that of a laptop.
Users also prefer to visit a store in person to get a clearer view of the items to be bought. Therefore, it is necessary to provide all that's required for the user, so that the chances of visiting the store is more, which is why it is good to provide directions to the store for a better user experience - to direct the users to the store on the go.
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sara has $65 and wants to buy the following items from a store boars game 14.95 building blocks $25.49 art kit $35.79 at the store all items are one-fourth off of the original price and there is a 5% sales tax sara wants to know if she can buy whitch statement true?
Answers
Answer:] ):::::::::::
Step-by-step explanation:
Can anybody measure this as an SSS, SAS, and ASA angles?
Answers
i'm sorry i can't answer because i can't see the marks but i would help if i could
What is the next fraction in this sequence? Simplify 3/14,2/7,5/14,3/7, its due today please help
Answers
The next fraction in the given sequence is; 7/14
We are given the sequence;
3/14, 2/7, 5/14, 3/7.
To get the next fraction in the sequence, we have to find the pattern of the differences.
Difference between first and second term is;
2/7 - 3/14 = 1/14
Similarly, for 2nd and 3rd term;
Difference = 5/14 - 2/7
Difference = 1/14
Therefore,the next fraction in the sequence will be gotten by adding 1/14 to 3/7
Next fraction = 3/7 + 1/14
Next fraction = 7/14
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Write an equation in slope-intercept form of the line that passes through the points.
Answers
Answer:
y=-2x
Step-by-step explanation:
M= y2-y1/x2-x1
= 6-0/-3-0
= 6/-3
= -2
when X is 0 Y is also so C is 0
One week Roger earned $425.50 regular pay and $60.50 overtime pay. His net pay for the week was $275.30. How much did he have withheld for deductions?
Answers
Answer:
He had $210.7 withheld for deductions
Step-by-step explanation:
Add his regular pay to his overtime pay
$425.50 + $60.50 = $486
After adding both his overtime and regular pay, he'd have $486. Now, take that and subtract his net pay
$486 - $275.30 = $210.7 :)
hari drags a load of 60 kg along a distance of 12 m. what amount of work does he do?also mention the type of work
Answers
Answer:
----->
Step-by-step explanation:
The weight of the 60kg load is (m g) = 588 Newtons. (Force x distance) = (588 N) x (12 m) = 7,056 Joules of work.
(2 + 10) × 5 = (2 × 5) + ( __ × 5)
Answers
Answer:
10
Step-by-step explanation:
We can use the distributive property to get:
[tex]5(2+10)=5(2)+5(10)[/tex]
Therefore, the blank is 10.
does anyone can help me i dont get and how to solve this
Answers
Answer:
a = 2
Step-by-step explanation:
I hope this helps!
first distribute so you get
4a + 3a - 6 = a + 6
at the 6 to the other side and add the a values together
7a = a + 12
subtract a from each side
6a = 12
divide by 6 to isolate the variable
a = 2
HELP ME PLEASE!! I NEED THIS!
Determine whetherf(z) = 5x^2 -20x + 3 has a maximum or a minimum value and find that value.
the graph" will also not earn the credit.
Answers
Answer:
min{5 x^2 - 20 x + 3} = -17 at x = 2
Step-by-step explanation: here's the graph
Will mark brainliest!
In your own words, explain the pattern! Can you write an equation? What is the y value if x value is 15?
Answers
Answer:
try 5
Step-by-step explanation:
Graph the solution to this inequality on the number line.
w−0.8>−2.4
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
Answers
Given the inequality expression:
w−0.8>−2.4
Inequalities are expressions separated by an unequal sign.
According to the given question, we need to find the solution for "w"
w−0.8>−2.4
Add 0.8 to both sides
w−0.8+0.8>−2.4 + 0.8
w > -2.4 + 0.8
Simplify the result by adding to have:
w > -1.6
Find the number line representing the solution attached;
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Mr. Smith had $50. He found a $5 bill. What is the percent of change in his money?
Please show in step by step how to solve
Answers
Answer:
10%
Step-by-step explanation:
a simple way to put it is 50 * 2 is 100, 5 * 2 is 10, so 10/100 is 10%
Add 2 to me, multiply by 3, then subtract 3. Divide by 8, then subtract 7. You -4
Answers
Answer:
7.
Step-by-step explanation:
Reverse all operations. (Subtract = Add, Add = Subtract, Divide = Multiply, Multiply = Divide)
Add 7+-4 to get 3.
Multiply 8*3 to get 24.
Add 24+3 to get 27.
Divide 24/3 to get 9.
Subtract 9-2 to get 7.
Check the other way:
Add 7+2 to get 9.
Multiply 9*3 to get 27.
Subtract 27-3 to get 24.
Divide 24/8 to get 3.
Subtract 3-7 to get -4.
Factorise
0=X^2+3x-3
Answers
Answer: x = 0.79128784 and -3.79128784
Step-by-step explanation: Round them up
Factorizing an expression involves writing the expression in simpler forms
The expression cannot be factorized.
The expression is given as:
[tex]0 = x^2 + 3x - 3[/tex]
Rewrite the expression as:
[tex]x^2 + 3x - 3 = 0[/tex]
The above expression cannot be factorized.
This is so because 3x can not be expressed using terms that have the product of -3 and x^2
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blueberries cost 4.00 per pound. how many of blueberries can you buy for 1.00
Answers
Answer:
1/4 or .25
Step-by-step explanation:
You cross multiply which would give you 4x=1.
Convert 4 weeks to days.
O A. 28 days
O B. 29 days
O c. 31 days
O D. 30 days. I will mark brainiest hurry
Answers
EXPLANATION
there are 7 days in a week. To find out how many days in 4 weeks multiply the number of days in the week by the number of weeks.
So
4 x 7 = 28
There are 28 days in 4 weeks.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
There are 7 days in a week, so to convert weeks to days, we multiply the number of weeks by 7. For example, if we have 2 weeks, we would multiply 2 by 7 to get 14 days.
In this case, we are given 4 weeks and asked to convert it to days. So we multiply 4 by 7 to get:
4 x 7 = 28
Therefore, there are 28 days in 4 weeks.
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16/32= 0/14 what is the awnser
Answers
[tex]\dfrac{16}{32} = \dfrac{O}{14}\\\\\implies \dfrac 12 = \dfrac O{14}\\\\\implies O = \dfrac{14}2 = 7[/tex]
All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer
Answers
A two-way relative frequency table consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.
Shift Response
Yes No Total
Day
67% 33% 100%
Night
23% 77% 100%
Total
45% 55% 200%
In this table there is data relating to two categories day/ night and yes/no.
Along the rows the percentages of the day/night data are calculated.
Along the columns the percentages of the yes/no data are calculated.
Shift Response
Yes No Total
Day 67/100*100 33/100 *100 100
= 67% =33% 100%
Night 23/100*100 77/100*100 100
= 23% =77% 100%
Total 90/200 *100 110/200*100 200
= 45% = 55% 200%
These calculations are done by dividing the row cells by their respective row totals.
Similarly the columns cells are filled by dividing the column cells with their respective column totals.
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After Lois picks a value for b, Clark must solve the equation 2x + 7 - x = 4x + 2b – 3x - 3b.
Clark uses Lois's b, then tries to solve the equation by repeatedly guessing values of x until he guesses
the right one. However, for every x he picks, the left side is always 3 more than the right side. What
value of b did Lois give Clark?
Answers
The value of b Lois gave to Clark to satisfy the given equation is -7.
The given parameters;
2x + 7 - x = 4x + 2b – 3x - 3b
To obtain the value of b, simplify the equation as follows;
2x + 7 - x = 4x + 2b – 3x - 3b
collect similar terms together
(2x - x) + 7 = (4x - 3x) + (2b - 3b)
x + 7 = x - b
(x - x) + 7 = -b
0 + 7 = -b
7 = -b
-7 = b
b = -7
Thus, the value of b Lois gave to Clark to satisfy the given equation is -7.
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Find the value of two numbers if their sum is 112 and their difference is 66.
Answers
Answer:
x+y = 112 ........ (1)
x-y = 62............ (2)
from (1) and (2)
2x = 174
x = 174/2
x = 87
sub x = 87 in (1)
x+y = 112
87+y = 112
y = 112 - 87
y = 25
so the numbers are 87 and 25
Step-by-step explanation:
Line a ∥ line b. Find the value of x and y. Please show all work for credit.
Answers
Answer:
x = 12, y =
Step-by-step explanation:
a || b
5x - 7 = 3x + 17 Alternative Interior Angles
x = 12 Algebra
Angle 3x + 17 = 53 Substitution
53 + 4y + 3 = 180 Supplementary Angles
y = 31