Given g(x) = -x + 5, solve for x when g(x) = 3.
2
3(9x-6) = 4x + 10
What is the value of x that makes the equation true?
The value of [tex]x[/tex] is 7.
Important information:
The given equation is [tex]\dfrac{2}{3}(9x-6)=4x+10[/tex].Solve the equation:The given equation can be written as:
[tex]\dfrac{2}{3}(9x)-\dfrac{2}{3}(6)=4x+10[/tex]
[tex]6x-4=4x+10[/tex]
[tex]6x-4x=4+10[/tex]
[tex]2x=14[/tex]
Divide both sides by 2.
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Therefore, the value of [tex]x[/tex] is 7.
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Evaluate 6|5 - c| + 2c when c = 6. 6 18 48 -24
Answer:
18
Step-by-step explanation:
The solution is Option B.
The value of the modulus function is A = 18
What is Modulus Function?Regardless of the sign, a modulus function returns the magnitude of a number. The absolute value function is another name for it.
It always gives a non-negative value of any number or variable. Modulus function is denoted as y = |x| or f(x) = |x|, where f: R → (0,∞) and x ∈ R.
The value of the modulus function is always non-negative. If f(x) is a modulus function , then we have:
If x is positive, then f(x) = x
If x = 0, then f(x) = 0
If x < 0, then f(x) = -x
Given data ,
Let the modulus function be represented as A
Now , the value of A is
A = 6 | 5 - c | + 2c be equation (1)
Now , when the value of c = 6
Substituting the value of c in the equation , we get
A = 6 | 5 - 6 | + 2 ( 6 )
A = 6 | -1 | + 2 ( 6 )
The value of the modulus function always returns a positive value ,
So , A = 6 ( 1 ) + 2 ( 6 )
A = 6 + 12
A = 18
Therefore , the value of A is 18
Hence , the modulus function is A = 18
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Olivia counted the number of ladybugs on each plant in her garden, then made the graph below.
If ten ladybug fly from the lettuce to the alfalfa, which 2 kinds of plants will have the same number of ladybugs?
Choose 2 answers:
A) Roses
B) Lettuce
C) Alfalfa
D) Grape vines
Answer:
A) Roses , C) Alfalfa
Step-by-step explanation:
Each ladybug symbol = 5 ladybugs
Roses: 35 ladybugs
Lettuce: 15 ladybugs
Alfalfa: 25 ladybugs
Grape vines: 10 ladybugs
10 ladybugs go from lettuce to alfalfa. You end up with:
Roses: 35 ladybugs
Lettuce: 5 ladybugs
Alfalfa: 35 ladybugs
Grape vines: 10 ladybugs
Roses and alfalfa end up with 35 ladybugs each.
Answer: A) Roses , C) Alfalfa
SOMEONE PLEASE ANSWER THESE!!! ASAP!!
1.) why isn’t -8 a irrational number?
2.) why isn’t 4.349 a irrational number?
3.) why isn’t -9.7 a irrational number?
4.) why isn’t 7 a irrational number?
5.) why isn’t 3/7 a irrational number?
6.) why isn’t 0 a irrational number?
7.) why isn’t 18 a irrational number?
8.) why isn’t -8/9 a irrational number?
Answer:
1. Because it is an integer.
2. Because it is a terminating decimals.
3. Because it is a terminating decimal as well as an integer.
4.Because it is a natural number.
5.Because it is a terminating decimal when divided.
6. Because it is a whole number.
7. Because it is a natural number.
8. Because it is a terminating negative decimal when divided(simplified basically).
Step-by-step explanation:
Irrational numbers include:
Non terminating,and non recurring decimals.
Example: 1.2345677854903421......so on.
Hope this helps... :-)
Which expressions are equivalent to 4b?
Step-by-step explanation:
5b-b,4b^2/b,...and so on
there are infinite number of equivalent expression..
among them five are here
4*b,
6b-2b,
2*2b,
((5b^3-b^3)/b^2),
2b+2b,etc
One more than the product of a number, x, and 7 is 5 less than that number, x. Rewrite this as an equation then solve for x.
Answer:
(7x+1)=x-5
Step-by-step explanation:
Solve -17 + n over 3 = 33
Answer:
n=82
Step-by-step explanation:
[tex] \frac{17 + n}{3} = 33 \: \: \: \frac{17 + n}{3} = \frac{33}{1} \: \: \: 17 + n = 99 \: \: \: n = 99 - 17 \: \: \: n = 82[/tex]
Proof:
17+n/3=33
17+82/3=33
99/3=33
33=33
Hope this helps ;) ❤❤❤
please someone help me... i need full answer
Answer: see proof below
Step-by-step explanation:
Use the following Sum to Product Identities:
[tex]\sin x-\sin y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\sin\bigg(\dfrac{x-y}{2}\bigg)\\\\\\\cos x-\cos y=2\cos\bigg(\dfrac{x+y}{2}\bigg)\cos\bigg(\dfrac{x-y}{2}\bigg)[/tex]
Proof LHS → RHS
[tex]\text{LHS:}\qquad \qquad \qquad \qquad \dfrac{\sin 2A+\sin 5A-\sin A}{\cos A+\cos 2A+\cos 5A}[/tex]
[tex]\text{Regroup:}\qquad \qquad \qquad \dfrac{\sin 2A+(\sin 5A-\sin A)}{\cos 2A+(\cos 5A+\cos A)}[/tex]
[tex]\text{Sum to Product:}\qquad \dfrac{\sin 2A+2\cos\bigg(\dfrac{5A+A}{2}\bigg)\sin\bigg(\dfrac{5A-A}{2}\bigg)}{\cos2A+\cos\bigg(\dfrac{5A+A}{2}\bigg)\cos\bigg(\dfrac{5A-A}{2}\bigg)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A+2\cos 3A\sin 2A}{\cos 2A+2\cos 3A\cos 2A}[/tex]
[tex]\text{Factor:}\qquad \qquad \qquad \dfrac{\sin 2A(1+2\cos 3A)}{\cos 2A(1+2\cos 3A)}[/tex]
[tex]\text{Simplify:}\qquad \qquad \qquad \dfrac{\sin 2A}{\cos 2A}\\\\.\qquad \qquad \qquad \qquad =\tan 2A[/tex]
LHS = RHS: tan 2A = tan 2A [tex]\checkmark[/tex]
factor (difference of squares) the binomial 25x^2-4 and find one of its factors
Step-by-step explanation:
Hey, there!
Here,
Given that:
[tex] = 25 {x}^{2} - 4[/tex]
we need to find factor,
As it is in a^2-b^2 form as per its factor (a+b) (a-b), keeping same formula here,
25x^2 means (5x)^2
and 4 means 2^2
Now, it would be,
[tex] = ( {5x)}^{2} - {2}^{2} [/tex]
[tex] = (5x + 2)(5x - 2)[/tex]
Therefore, it's factor would be (5x+2)(5x-2).
Hope it helps....
10 + 10 is what!? I’ll give you guys some points
Answer:
20
Step-by-step explanation:
Answer: 20
Step-by-step explanation:
IF my scientific calculations are correct the answer is 20
Let p: A car has automatic windows. Let q: A car has automatic seats. p v q is true for a total of how many cars?
Answer:
d 80
Step-by-step explanation:
Each of 7 reported the number of movies they saw in the past year here is what they reported. 4, 17, 6, 15, 10,10,19 Find the mean number of movies that the students saw.
Answer:
Step-by-step explanation:
4+6+10+10+15+17+19=81
Then you divide 81 by the numbers of the numbers given. Which is 7 numbers so it will be 81/7 which is 11.57 then you approximate it to 11.
Can someone help me, I need to find the function of a graph
Step-by-step explanation:
f(x)=y
(x,y)
(x,f(x))
then,
f(-4)=1
f(0)=2
f(4)=3
If you could help solve this and show your work I would really appreciate it
Answer:
D
Step-by-step explanation:
The difference between 63y and 35y is 28y. 28/2=14, 28/4=7, 28/7=4, 28/9=not whole number so I'm not doing the math, and to make sure we are right, 28/14=2
Answer:
9Step-by-step explanation:
[tex]63y-35y\\=28y[/tex]
[tex]\frac{28y}{2} = 14y\\\\\frac{28y}{4} = 7y\\\\\frac{28y}{7} =4y\\\\\frac{28y}{14} = 2y\\\\\frac{28y}{9} =3.1111y[/tex]
Twice a number increased by seven is twenty-five.
find the area of the figure
Answer:
This is the answer i hope
We have to find the area of rectangle or triangle if triangle
Equation =1/2*length*Breadth
That is 1/2*13*8
=52
Answer:
104 sq. ft.
Step-by-step explanation:
Add the to heights and then multiply your base times height:
6+7=13
13x8= 104
Simplify the exponential expression. 5 4 =
Answer:
???
Step-by-step explanation:
what the expression just 5 and 4 i dont get it
In ΔLMN, \overline{LN}
LN
is extended through point N to point O, \text{m}\angle MNO = (5x-13)^{\circ}m∠MNO=(5x−13)
∘
, \text{m}\angle NLM = (x-4)^{\circ}m∠NLM=(x−4)
∘
, and \text{m}\angle LMN = (2x+19)^{\circ}m∠LMN=(2x+19)
∘
. Find \text{m}\angle NLM.m∠NLM
Answer:
[tex]\bold{\angle NLM = 10^\circ}[/tex]
Step-by-step explanation:
Given a ΔLMN.
Line LN is extended to point O.
such that:
[tex]\text{m}\angle MNO = (5x-13)^{\circ}[/tex]
[tex]\text{m}\angle NLM = (x-4)^{\circ}[/tex] and
[tex]\text{m}\angle LMN = (2x+19)^{\circ}[/tex]
To find:
[tex]\text{m}\angle NLM=?[/tex]
Solution:
Kindly refer to the attached image for the given triangle and dimensions of angles.
Let us recall the external angle property of a triangle:
The external angle of a triangle is equal to the sum of two opposite internal angles.
i.e.
[tex]\angle MNO = \angle NLM + \angle LMN\\\Rightarrow 5x-13 = x-4+2x+19\\\Rightarrow 5x-13 = 3x+15\\\Rightarrow 5x-3x = 13+15\\\Rightarrow 2x=28\\\Rightarrow x =14[/tex]
Putting the value of [tex]x[/tex] in [tex]\angle NLM[/tex].
[tex]\angle NLM=14-4 \\\Rightarrow \bold{\angle NLM = 10^\circ}[/tex]
9) The speed limit on the freeway is 65 miles per hour. a) What is this speed in kilometers per minute?
b) If you drive for 3.5 hours at the speed limit? How many kilometers have you travelled?
Answer: Answer is in the steps
Step-by-step explanation:
A) First convert 65 miles to kilometers
65 miles to kilometers is 104.607
Convert 1 hour to minute and that will be 60 minutes because 60 minutes makes and hour.
Now divide the kilometers by the number of minutes
104.607 / 60 = 1.74345
The speed will be 1.74345 kilometers per minute.
B) Convert 3.5 hours to minutes.
3.5 hours is the same as 210 minutes
Now multiply it by 1.74345 to determine how many kilometers you have traveled.
1.74345 * 210 = 366.1245
You will travel 366.1245 kilometers in 3.5 hours.
In a small company's accounting department, the accounts receivable
coordinator often takes the role of the
O A. bookkeeper
B. credit and collection manager
C. payroll administrator
D. accounting manager
SUBMIT
Answer:
The correct option is;
D. Accounting manager
Step-by-step explanation:
Mid level managers such as accounting managers in a large establishment can comprise three different managers, including accounts payable manager, account receivables manager, and the payroll administrator. However, in a small firm the accounting manager can be responsible for the above accounting duties
In a large establishment, the financial controller has three accounting managers reporting directly to her, which are the accounts receivable manager, the payroll manager, and the account payable manger. In a small firm however all the above named accounting functions will be performed the accounting manager.
Ingrid traveled to Jacksonville, texas, to watch baskets being made. she saw six shelves with 19 baskets on each shelf. how many baskets were on the shelves in all?
Urgent ! Use a table to compress the function y=f(x) vertically by 1/2 . Identify the graph of the function and its transformation . A-B-C- or D ?
The third one is the right answer
Answer:
The first one is right. (A)
Step-by-step explanation:
Whenever we talk about compressions we just need to compress one of the axes in this case we are asked to compress the y-axis which means that the only values that will change are the y-values, don't get confused the x values have to stay the same.
Evaluate 6t -20-32u when t=6 and u=1/4
Answer:
[tex]8[/tex]
Step-by-step explanation:
[tex]6t - 20 - 32u = 6(6) - 20 - 32( \frac{1}{4} ) = 36 - 20 - 8 = 16 - 8 = 8[/tex]
Hope this helps ;) ❤❤❤
Steve had 48 chocolates but decided to give 8 chocolates to each of his coworkers. How many chocolates does Steve have left? Write your answer as an expression.
Answer:
y = 48 - (8x)
Step-by-step explanation:
x = unknown number of coworkers
y = number of chocolates left over
y = 48 - (8x)
Example: If you were to plug in the number 5 for x:
y = 48 - (8(5))
y = 48 - 40
y = 8
The answer is 48-8f
Ccffcxdfcve
Select the correct choice that completes the sentence below -5(x-3) = -5x +15 illustrates the ____ property of multiplication over addition 1. Additive 2. Inverse 3. Distributive 4. Commutative 5. Multiplication
Answer: 3. Distributive
Step-by-step explanation:
Distributive property of multiplication over addition is the only property that is require to multiply an expression to the other expression with two or more than two terms.
For example: a (b+c)= a b+ac , where a,b,c can be any expression.
Given expression: -5(x-3) = -5x +15 , which illustrates the distributive property of multiplication over addition.
Hence, the correct option is 3. Distributive.
The rest of properties cannot work for multiplication over addition as they are used for one operation.
Pls help me and show working
Answer:
4x + 10 > 3x + 14
x > 4
Step-by-step explanation:
Use the given values for length and width in the formula for perimeter of a rectangle. You will be able to find the perimeter of rectangles A and B.
A = 2(l + w)
A = 2(x + 5 + x)
A = 2(2x + 5)
A = 4x + 10
B = 2(l + w)
B = 2(x + 7 + x/2)
B = 2(3x/2 + 7)
B = 3x + 14
The perimeter of rectangle A is larger than that of rectangle B.
A > B
4x + 10 > 3x + 14
(4x + 10) - 3x > (3x + 14) - 3x
x + 10 > 14
(x + 10) - 10 > 14 - 10
x > 4
please help i don’t know if i got the right answer
ooooh lemme drive da bus
Which of the following is not true? Bonus number 7
Answer:
the first one i think
Step-by-step explanation:
i can't see the pic clearly make it better, and i will solve for u
Please help me!! This a mathematical question. I will be so happy if someone helps me♂️
Answer:
The answer is the fourth one.
[tex]\frac{1}{r^7} +\frac{1}{s^12}[/tex]
Step-by-step explanation: