Answer:
No values of x can make f(x)=6
Step-by-step explanation:
Equation with Absolute Value
The absolute value of a number is always positive. That condition must be met when solving equations. Any condition that goes against the rule, must be discarded and not part of the solution.
The function provided in the question is:
[tex]f(x) = -0.5|2x + 2| + 1[/tex]
We need to find the value(s) of x that make:
f(x)=6
It needs to solve the equation:
[tex]-0.5|2x + 2| + 1=6[/tex]
Subtracting 1:
[tex]-0.5|2x + 2| =6-1=5[/tex]
Dividing by -0.5:
[tex]|2x + 2| =5/(-0.5)=-10[/tex]
We reach to this equation to solve:
[tex]|2x + 2| =-10[/tex]
As stated above, the absolute value is always positive, and the equation forces the absolute value to be negative. There is no possible value of x that makes the absolute value negative, thus:
No values of x can make f(x)=6
Answer:
No Solution
Step-by-step explanation:
EDGEN 2021
what is the answer to 10 + 6x = 2(3x – 5)
Answer:
Step-by-step explanation:
10 + 6x = 6x - 10
10 - 10 = 6x -6x
0 = 0
equation is wrong
Maya’s grandfather open a savings account for a while she was born. He open the account with $100 and not add or take out money after that. The money in the account grows at a rate of 4% per year. Make a table to show the amount in the account from the time Maya was born until she turn 10.
Answer:
1140
Step-by-step explanation:
because 4% equals 4 pounds × 10 equals 40% which equals 40 pounds and 100 times 10 equals 1000 plus the extra 100 pounds from the beginning
The answer to the problem 5 x (4 + 1) is called a _____. 2 points
Answer:
25
Step-by-step explanation:
5x(4+1)=
4+1=5
5x5=25
The value of -4^2 is _____.
8
-16
16
-8
And please tell me why
Answer:
16
Step-by-step explanation:
A negative times a negative is a positive. -4^2 is equal to -4 times -4. This would give us 16.
Find the midpoint of the segment with the following endpoints.
(6,3) and (0,9)
help please
An architect is designing a rectangular house that is 60 feet long and 40 feet wide. He uses of the area for the 1/4 living room and of the area for the 1/6 kitchen. What area, in square feet, is left over for other parts of the house?
A 1400 ft2
B 1000 ft2
C 140 ft2
D 100 ft2
Answer:
6o×40=2400
area 1/4=2400÷4=600
area 1/6=600÷6=100
(d)=100 ft2
1.
Write the following number in words: 9,300,695.
Answer:
nine million, three hundred - thousand, six hundred ninety - five
Step-by-step explanation:
nine million, three hundred - thousand, six hundred ninety - five
9,000,000. 300,000. 600. 95.
Answer:
Step-by-step explanation:
nine million three hundred thousand six hundred and ninety five
The length of a rectangle is 3 inches more than its width. If the perimeter is 42 inches find the demensions of the rectangle
Answer:
W-18inches L-21inches
Step-by-step explanation:
42-6 = 36/2 = 18
Width is 18 inches
and
Length is 21 inches
Select the equivalent expression (7/2)^8
A. 7/2^8
B.28
C.7^8/2^8
D.(7-2)^2
Answer:
The answer is A
Step-by-step explanation:
[tex] { (\frac{7}{2} )}^{8} = {7}^{8} \div {2}^{8} [/tex]
use the binomial theorem to expand (4-2z)^3
Answer:
(
t
+
w
)
4
=
t
4
+
4
t
3
w
1
+
6
t
2
w
2
+
4
t
1
w
3
+
w
4
Explanation:
First, you should get to know Pascal's triangle. Here's a small portion of it up to 6 lines. Basically you're just adding the numbers that are beside each other, then writing the sum below them. (For example,
1
+
2
in the third line equals to
3
in the fourth line.) If you want a better explanation for that, feel free to do some more research on it.
Expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
What is binomial theorem?
" Binomial theorem is a way of expanding a binomial expression with exponent n, where n is any positive integer."
Formula used
Binomial Expansion
(a - b) ⁿ = ⁿC₀ aⁿb⁰+ ⁿC₁ aⁿ⁻¹ (-b)¹ + ⁿC₂ aⁿ⁻² + ....... + (-1)ⁿ ⁿCₙ a° bⁿ
According to the question,
Given,
(4 -2z)³
a = 4
b = 2z
Substitute the value in the formula of binomial expansion we have,
= ³C₀ (4)³ (-2z)⁰ +³C₁ (4)² (-2z)¹ +³C₂ (4)¹ (-2z)² + ³C₃ (4)⁰ (-2z)³
= (4)³ - 3 (4)² (2z) + 3 (4) (2z)² -(2z)³
= 64 -96z +48z² -8z³
Hence, expansion of ( 4- 2z)³ using binomial expansion is equals to
64 - 96z + 48z² - 8z³.
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(10 points) I need help
-(x+1)+7=10
4x+7=2x-9
please show all work
Answer:
X= - 4
X= - 8
Step-by-step explanation:
-x - 1 +7 =10
-x +6 =10
-x = 10-6
-x = 4
Divide by - 1
X = - 4
4x +7=2x-9
4x-2x =-9 - 7
2x =-16
Divide by 2
X = - 8
Which equation represents a line that is parallel to the line with equation y = 2x + 1?
Select all that apply.
A. y= 2x - 8
B. y=-2x + 1
C. 2x + y=7
D. -2x + y = 2
E. -2x - y=9
Answer:
A and D
Step-by-step explanation:
Parallel lines have same slope.
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
Options A and D
Given :
The equation of a parallel line [tex]y=2x+1[/tex]
The given equation is in the form of y=mx+b
where m is the slope
Slope of parallel lines are same .
Slope of given line is 2.
Lets check whether the slope of all lines given in the options are equal to 2
[tex]y= 2x - 8\\slope =2\\\\y=-2x + 1\\slope =-2\\\\2x + y=7\\y=-2x+7\\slope =-2\\\\-2x + y = 2\\y=2x+2\\slope =2\\\\-2x - y=9\\-y=2x+9\\y=-2x-9\\slope =-2[/tex]
Equations A and D have same slope 2
equations of a line that is parallel to the line with equation y = 2x + 1 are
[tex]y=2x-8 \; and \; -2x+y=2[/tex]
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please help for 15 points
1289 x 13 =?
a) 17986
b)15678
c) 16757
d)1389
This is for younger kids!
It took Kyle and yuan 11 minutes to canoe across lake Wyandot from one dock to the other. What was their average speed in kilometers per hour?
Answer:
30 min
Step-by-step explanation:
So, how long does it take to kayak a mile? It takes about 30 minutes to kayak 1 mile on flat calm water. Obviously this number will depend on several factors: how much paddling experience you have, wind and wave conditions, and what type of kayak you’re paddling.
is the slope of the line with equation y-3=-1/2(x-2)
Answer:
-1/2 is the slope.
Step-by-step explanation:
y-3 = -1/2(x-2)
y-3 = -1/2x +1
y= -1/2x + 4
m= -1/2
7(6+d)=49 Solve for d.
A:d=7
B:d=-1
C:d=-7
D:d=1
Answer: d = 1
Step-by-step explanation:
First distribute the 7 to each term of (6 + d) = 42 + 7d = 49 now subtract 42 from both sides which = 7d = 7. Divide by 7 = 7d/7 = 7/7 = d = 1
Jesus tiene un terreno cuadrado y su hermano uno rectángulalar,El Largo Del Terreno De Su hermano mide 5 metros más que el lado que el terreno que Jesús.mientras que el ancho del terreno de Si hermano mide lo mismo que el ancho del terreno cuadrado. ¿Cual es el area total de los terrenos?
Answer:
El terreno de Jesus es cuadrado.
El terreno del hermano es rectangular.
Definimos las variables:
Lh = Largo del terreno del hermano.
Ah = Ancho del terreno del hermano
Lj = Largo del terreno de Jesus.
Sabemos que:
Lh = 5m + Lj
Ah = Lj.
Sabemos que el area de un quadrado de lado L es igual a L^2.
Entonces el area del terreno de Jesus es Lj^2.
El area de un rectangulo de largo L y ancho A es igual a A*L.
El area del terreno del hermano de Jesus es:
Lh*Ah = (5m + Lj)*Lj
= 5m*Lj + Lj^2.
x=-3
f (x) = -2x +4
f(x) = ?
Answer:
10
Step-by-step explanation:
-2X+4
-2(-3)+4
6+4
10
Can you prove the red lines in the diagram are parallel ? Explain your answer
Answer:
yes
Step-by-step explanation:
the red lines have the same angle from the blue line
Show some different ways you can make 7,502.
Answer:
7000+500+0+2
Step-by-step explanation:
I hope this helps you!
Solve the equation. If the equation is an identity, choose identity. If it has no solution, choose no solution.
- 1/2x+1=7x−14
(the 1/2 is got a - in the middle before it)
Answer:
x=2
Step-by-step explanation:
- 1/2x+1=7x−14
I need help ASAP cause I'm stuck
Answer:-16r^7
Step-by-step explanation:
please answer. really need help because i dont understand
13m = 3 someone help me!
Answer:13m=3
Step 1: Divide both sides by 13.
13m = 3
Answer:
m= (3 /13)
write it as a decimal
hope this helps
:)
From the sum of 3x-4y+5z,2x-7y and 9z-5y subtract -2xy-2y-2z
Answer:
5x - 14y + 16z + 2xy
Step-by-step explanation:
Given expressions:
3x - 4y + 5z
2x - 7y
9z - 5y
-2xy - 2y -2z
Solution:
Sum of 3x - 4y + 5z
2x - 7y
9z - 5y
= 3x - 4y + 5z + 2x - 7y + 9z - 5y
= 3x + 2x - 4y - 7y -5y + 5z + 9z
= 5x - 16y + 14z
Subtract -2xy - 2y -2z
= 5x - 16y + 14z - ( -2xy - 2y -2z )
= 5x - 16y + 14z + 2xy + 2y + 2z
= 5x - 16y + 2y + 14z + 2z + 2xy
= 5x - 14y + 16z + 2xy
if a normal dice is rolled 900 times how many times is the number 4 expected
Answer:
125 times
Step-by-step explanation:
Here, we are required to determine how many times is the number 4 expected if a normal dice is rolled 900 times.
The number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.For a normal dice, there are six faces labelled numbers; 1, 2, 3, 4, 5, 6.
The probability of obtaining the number 4 each time the die is rolled is; 1/6
At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the first roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the second roll of the normal dice, the probability of obtaining the number 4 is 1/6.At the third roll of the normal dice, the probability of obtaining the number 4 is 1/6.The probability of obtaining 4 in all 3 rolls is;
(1/6 + 1/6 + 1/6) = 3(1/6).
Ultimately, the number of times the number 4 is expected when a normal dice is rolled 900 times is; 900(1/6) = 150times.
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Steps for solving 4x - 12 = 20 are shown.
Explain how Step 3 helps solve the equation.
4x - 12 = 20
4x-12 +12 - 20 +12
4x = 32
4x32
4 4
X = 8
Original equation
Step 1
Step 2
Step 3
Step 4
A. Multiplying both sides by 4 undoes the division.
B. Dividing both sides by 4 eliminates the variable.
C. Multiplying both sides by 4 isolates the variable.
D. Dividing both sides by 4 isolates the variable.
SUBMIT
For the given equation, in step 3 it is dividing both sides by 4 to eliminate the variable. Hence, option B is correct.
What is an arithmetic operation?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
The step 3 according to the question is,
4x = 32
Dividing both sides by 4,
x = 32/4
x = 8
Therefore, the final result will be x = 8.
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The sum of ruqiyo’s age and Mohammed’s age is 117. Five times ruqiyo’s age is 9 more than 3 times mohammed’s age. How old is each person
Answer:
45 and 72Step-by-step explanation:
Let the ages be r and m
We have:
r + m = 1175r = 9 + 3mSubstitute m in the second equation and solve for r:
m = 117 - r5r = 9 + 3( 117 - r)5r = 9 + 351 - 3r5r + 3r = 3608r = 360r = 360/8r = 45Then m is
m = 117 - 45 = 72What’s question number 2? I have been stuck on this.
Answer:
i feel like it's B. 3
Step-by-step explanation:
because if you like simplify the problem 3(m+n)-4=5 and then subtract 4 and add 4 to 5 the 5 becomes a 9. then if you divide 9 by 3 the answer would be 3