Answer:
the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
Step-by-step explanation:
We need to find the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex]
Solving:
[tex](x + 2)^2 > 2x + 7[/tex]
Using formula: [tex](a+b)^2=a^2+2ab+b^2[/tex]
[tex]x^2+4x+4>2x+7\\x^2+4x+4-2x-7>0\\x^2+4x-2x+4-7>0\\x^2+2x-3>0[/tex]
Now factoring the term: [tex]x^2+2x-3>0[/tex]
Breaking the middle term: 2x= 3x-x
[tex]x^2+2x-3>0\\x^2+3x-x-3>0\\x(x+3)-1(x+3)>0\\(x-1)(x+3)>0\\x-1>0 \ or \ x+3>0\\x>1 \ or \ x<-3[/tex]
So, the range value of x which satisfy inequality [tex](x + 2)^2 > 2x + 7[/tex] is [tex]\mathbf{x>1 \ or \ x<-3}[/tex]
If x is positive and x^2 = 729, what is the value of x?
Answer:
x=27
Step-by-step explanation:
x would be the square root of 729, or 27
Answer:
27
Step-by-step explanation:
(x^2=729, x=?)is the same as finding the sqrt of 729, which is 27
Round the following factors to estimate the products
597x52= ____ x____=_____
A reasonable estimate for 597 x 52
Step-by-step explanation:
597 rounding would be 600 while 52 would be 50.
So 600 x 50
= 30,000
Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week. She ran a total
of 42 miles in the two weeks.
Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,
p?
Answer:
The system of Equations =
r = 2p - 6........ Equation 1
r + p = 42 ........Equation 2
Hence:
the number of miles she ran this week = r = 26 miles
the number of miles she ran the previous week = p = 16 miles
Step-by-step explanation:
Let the number of miles:
the number of miles she ran this week = r
the number of miles she ran the previous week = p
Katelyn is training for a marathon. This week she ran 6 miles less than 2 times the number of miles she ran the previous week.
r = 2 × p - 6 miles
r = 2p - 6........ Equation 1
She ran a total of 42 miles in the two weeks.
r + p = 42 miles
r + p = 42 ........Equation 2
Which system of equations can be used to find the number of miles she ran this week, r, and the number of miles she ran the previous week,p?
The system of Equations =
r = 2p - 6........ Equation 1
r + p = 42 ........Equation 2
We substitute 2p - 6 for r in Equation 2
2p - 6 + p = 42
3p = 42 + 6
3p = 48
p = 48/3
p = 16 miles
Solving for r
r = 2p - 6........ Equation 1
r = 2(16) - 6
r = 32 - 6
r = 26 miles
Hence:
the number of miles she ran this week = r = 26 miles
the number of miles she ran the previous week = p = 16 miles
Let f(x) = -2x + 6 and g(x) = 5x - 7.
Find f+g
a 3x - 1
(b 7x -
© 3x + 13
d -10x - 35
Answer:
a) 3x - 1
Step-by-step explanation:
f(x) + g(x)
(-2x + 6) + (5x - 7)
Drop the parentheses
-2x + 6 + 5x -7
5x and -2x can be combined as well as 6 and -7
So, 3x -1
If <1=(7−19)°and <2=(+5)°, find the <2
If m<5 = 42° and m<1 = 117°, find m
If M is the midpoint of XY, find the coordinates of X if M(-3,-1) and Y(-8, 6).
Find the distance between the two points. Round to the nearest thousandth.(-8, -2) and (6, -1)
If DE = 4x –1, EF = 9, and DF = 9x –22, find the value of x.
Answer:
We know that the section formula states that if a point P(x,y) lies on line segment AB joining the points A(x
1
,y
1
) and B(x
2
,y
2
) and satisfies AP:PB=m:n, then we say that P divides internally AB in the ratio m:n. The coordinates of the point of division has the coordinates
P=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
Let C(1,1) divides the line segment AB joining the points A(−2,7) and B(x
2
,y
2
) in the ratio 3:2, then using section formula we get,
C=(
m+n
mx
2
+nx
1
,
m+n
my
2
+ny
1
)
⇒(1,1)=(
3+2
3x
2
+(2×−2)
,
3+2
3y
2
+(2×7)
)
⇒(1,1)=(
5
3x
2
−4
,
5
3y
2
+14
)
⇒1=
5
3x
2
−4
,1=
5
3y
2
+14
⇒5=3x
2
−4,5=3y
2
+14
⇒3x
2
=5+4,3y
2
=5−14
⇒3x
2
=9,3y
2
=−9
⇒x
2
=
3
9
,y
2
=−
3
9
⇒x
2
=3,y
2
=−3
Hence, the point B(x
2
,y
2
) is B(3,−3).
What percent is equivalent to 12/30?
0 12%
O 30%
0 40%
O 60%
Answer:
40 is the answer
Step-by-step explanation:
4. If the two angles and their non-included side of one triangle is congruent to the two
angles and their non-included side of another triangle, then the two triangles are
congruent by:
a. SAS postulate
b. AAS postulate
c. AAA postulate
d. ASA postulate
Need help with this question, thanks.
Answer:
AE
Step-by-step explanation:
Times 11 for all sides get
11<x+13<33
then 11<x+13
-2<x
x+13<33
x<20
so
-2<x<20
so
AE
Write V – 250 in simplest radical form.
Answer:
5i√10
Step-by-step explanation:
hope this answers your question
:)
Answer:
5√10
Step-by-step explanation:
how many 4-digit number are divisible by 7,8,10 and 25
9514 1404 393
Answer:
7
Step-by-step explanation:
In order for a number to be divisible by all of 7, 8, 10, and 25, it must be a multiple of the least common multiple of those numbers.
LCM(7, 8, 10, 25) = 7×8×25 = 1400
There are floor(10,000/1,400) = 7 4-digit numbers divisible by 7, 8, 10, and 25. They are ...
1400, 2800, 4200, 5600, 7000, 8400, 9800
1.If a number a is always less than another number b, which of the following expressions expresses their relationship?
A.a≤b
B.a≥b
C.a>b
D.a 0
D.x 9
Which of the following sentences is the word equivalent of the expression above?
A.The product between 3 and a number is no less than 9.
B.The product between 3 and a number is greater than 9.
C.The product between 3 and a number is no more than 9.
D.The product between 3 and a number is less than 9.
Answer:
Let's define the symbols:
x < y
means that x is strictly less than y.
x ≤ y
means that x is less than or equal to y.
(both of these signs can be in the other direction, take that in mind).
A) " a is always less than another number b"
Here we should have:
a < b.
a is always less than the other number b.
This is not in the options, so i suppose that there is a mistake in the question.
B) The expression "above" is not shown here, so i will just writhe the correspondent expression for each option, and you can see which one matches with the expression above.
a) "The product between 3 and a number is no less than 9"
3*n ≥ 9.
b) "The product between 3 and a number is greater than 9."
3*n > 9
c) "The product between 3 and a number is no more than 9"
3*n ≤ 9
d) "The product between 3 and a number is less than 9"
3*n < 9
the sales tax is $1002.80 on an automobile purchase of $21800. what is the sales tax rate?
Answer:
21.7391%
Step-by-step explanation:
21800/1002.80
(For #8 -9) Choose ONE of the application problems below and solve it using a system of 2 equations.
Remember - word problem, word answer.
8. The high school FFA is selling fruit. Together, Kay and Ayan sell a total of 25 boxes. Kay sells 13 less than Ayan.
How many boxes does each girl sell?
Define your variables:
X =
Y =
boxes.
boxes, and Ayan sold
Kay sold
Answer:
Kay sold 6 boxes and Ayan sold 19 boxes
Step-by-step explanation:
Let x = number of boxes Kay sells
y = number of boxes Ayan sells
Then the equations will be:
[tex]x+y = 25\\x = y-13[/tex]
We can solve the system by using substitution method
Putting x = y-13 in equation 1
[tex]y-13+y = 25\\2y -13 = 25\\2y = 25+13\\2y = 38[/tex]
Dividing both sides by 2
[tex]\frac{2y}{2} = \frac{38}{2}\\y = 19[/tex]
Putting y = 19 in equation 2
[tex]x = y-13\\x = 19-13\\x = 6[/tex]
Hence,
Kay sold 6 boxes and Ayan sold 19 boxes
Please help brainliest, thanks, five star
Answer:
B
Step-by-step explanation:
Ava is driving home from college this winter holiday. She travels 60 miles during the 1st hour of her trip. If she continues at the same rate, how many TOTAL hours will it take her to reach her home 330 miles away? 5.5 hours 5.5 hours 5 hours 5 hours 6.5 hours 6.5 hours 4 hours
Answer: 5.5 hours
Step-by-step explanation:
distance/speed = time
330/60 = 5.5
Answer:
Step-by-step explanation:
330/60= 5 1/2 or 5.5 hours total time
A bathtub drains at a rate of 4 1/5 liters of water in 1/5 of a minute. How many liters of water does the bathtub drain per minute
Answer:
I think the answer is 252 liters a minute.
Step-by-step explanation:
I got 252 liters a minute because I had to first put 4 1/5 as a fraction and it was 21/5. In ever minute there are 60 seconds. I then multiplied 21/5 times 60 to get me to 252 liters. To double check your work you have to divide 252 by 60. When you divide 252 by 60 you would get 4.2 which reduces to 4 1/5 which makes 252 liters per minute the right answer. Hope this helps.
need help , if you can answer it pls do . thank you
Answer:
9
Step-by-step explanation:
14-5=9
therefore TV=9
hope this helped
How can you tell that a point on a graph is neither a minimum or maximum?
Step-by-step explanation:
i think zero lol i dont know this is wrong or correct lol
Ms. Rex takes attendance and counts 356 students at the assembly.
Actually, there was 376 students. The percent error is 20%.
A.True
B.False
can someone pls help me? :)
Example:
2x + 4x - 3x = 18
6x - 3x = 18 (2x + 4x = 6x)
3x = 18 (6x - 3x = 3x)
x = 6 (18 divided by 3 = 6)
Example:
10s - 4 = 7s + 8
10s - 7s = 8 + 4
3s = 12 (12 divided by 3 = 4)
s = 4
Directions: Solve each of the following equations.
a. Combine like terms
b. Then isolate the variable if necessary
c. Follow rules for signed numbers
1. 15t + 8t - 2t = 16
2. 24m + 24m = 96
3. 26 = 12n + 2n
4. 20a - 3a = 34
5. 170x + 4 = 64
6. 15x - 25 = 200
7. 5s + 3s = 42
8. 10t + 2t = 28
9. 14s + 35s - 7s = 42
10. 124s - 14s + 12s = 12
11. 76x + 23x = 33
12. 140r - 8r - 4r = 216
13. 98c - 99c = 1
14. 104mn + (-84mn) = 36
15. 118j - 234j = 234
Step-by-step explanation:
1 t=16/21
2.m=2
3.n=13/7
4.a=2
5.x=6/17
6.x=15
7.s=21/4
8. t=7/3
9. s=1
10. s=6/61
11. x=1/3
12. r=27/16
13. c=−1
14.m=9/5n
15. j=−117/58
Calculate the area of the shaded region in two different ways. Explain the difference between your two methods.
Answer:
20 unit²Step-by-step explanation:
Method 1Area of trapezium
A = 1/2(b1 + b2)hA = 1/2(3 + 7)(4) = 1/2(10)(4) = 20 unit²Method 2Area of rectangle - Area of triangle
A = lw = 7*4 = 28 unit²A = 1/2bh = 1/2*4*4 = 8 unit²28 - 8 = 20 unit²PLEASEEE ITS EASY ALGEBRA 1 ):
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 > 11
Subtract 7 from both sides
2x/3 > 4
Multiply both sides by 3
2x > 12
Divide both sides by 2
x > 6
6, 7, and 8 are the ones that work
please help, will give brainlist
(x-2)(x-1) use the distributive property
please explain as well!
Answer:
Step-by-step explanation:
(x-2)(x-1)
You need to take the first x and multiply by the other x. Then multiply the first x by the -1. Do this for the -2 also. -2 by the second x and -2 by the -1.
You get x^2-x-2x+2 then combine terms.
x^2-3x+2
Answer:
x² - 3x + 2
Step-by-step explanation:
(x-2)(x-1)
xx - x - 2x + 2
x² - 3x + 2
what is the missing segment in the image below
Solve the compound equality, and show work!!
2(x-1) ≥ 10 or 3-4x > 15
Answer:
To solve a compound inequality, first separate it into two inequalities. Determine whether the answer should be a union of sets ("or") or an intersection of sets ("and"). Then, solve both inequalities and graph.
Step-by-step explanation:
Hope this helps!!!!!
:)
The vice president of the USA has an annual salary of $230,700.00.
determine their weekly salary.*
A. 9228.23
B. not enough information
C. 4436.54
D. 23070
Answer:
C. 4436.54
Step-by-step explanation:
230700.00÷52=4436.54
there are 52 weeks in a year, annual means year
Answer:
the answer is C
C. 4436.54
Sarah would like to hire a clown for her daughter's birthday party. Clown A
is offering his services for an initial fee of $105 in addition to $9 per hour.
Clown B is offering her services for an initial $155 fee in addition to $6 per
hour. When will the two clowns charge the same amount of money? Use a
table to estimate the solution.
The two clowns charge the same amount of money at 16.66 hours.
What is Wages?Payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, let the duration of birthday party be x hours.
For Clown A,
Initial fee = $ 105
Additional charge = $ 9 per hour
Total amount of clown A = $ (9x + 105) ...........(i)
For Clown B,
Initial fee = $ 155
Additional charge = $ 6 per hour
Total amount of clown B = $ (6x + 155) ...........(i)
Now, according to question
9x + 105 = 6x + 155
9x - 6x = 155 - 105
3x = 50
x = 50/3
x = 16.66 hours
Thus, the two clowns charge the same amount of money at 16.66 hours.
Learn more about Wages from:
https://brainly.com/question/14718127
#SPJ1
Find the value of x
X/5 + 1 = 5 X= ?
Answer:
20
Step-by-step explanation:
5-1=4×5=20 that's why
Answer:
x = 20
Step-by-step explanation:
[tex]\frac{x}{5} + 1 = 5[/tex]
isolate the [tex]\frac{x}{5}[/tex] by subtracting 1 from both sides
[tex]\frac{x}{5} + 1 -1 = 5-1[/tex]
[tex]\frac{x}{5} = 4[/tex]
then isolate the x by multiplying both sides by 5
[tex]\frac{x}{5} * 5 = 4 * 5[/tex]
[tex]x = 4 *5 = 20[/tex]
so
[tex]x = 20[/tex]
hope this helps :))
Can someone please help?
I am stressing because I honestly do not understand this and the last person who answered this did not make it clear
Answer:
[tex]\frac{108}{125}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}[/tex]*[tex]\frac{25}{24}[/tex]= [tex]\frac{72}{125}[/tex]
[tex]\frac{72}{125}[/tex]÷[tex]\frac{2}{3}[/tex]=[tex]\frac{108}{125}[/tex]
Hope this helps you!
Help!! Will give the amazing crown!!
Answer:
[tex] - \frac{58}{20} < - \sqrt{8} < \frac{17}{22} < 0.78[/tex]
Step-by-step explanation:
There you go, have a good day