Answer:
6(2x+1) – 3 = 4x – 5
Firstly multiply
12x + 6 -3 = 4x-5
12x - 4x = -5-3
8x = -8
x =-1
The appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign =
Now the given equation is,
6(2x+1) – 3 = 4x – 5
So, appropriate first step to take to solve for x is expanding the brackets so, expanding the brackets we get,
12x + 6 – 3 = 4x – 5
or, 12x + 3 = 4x – 5
Taking alike terms together we get,
12x - 4x = – 5 - 3
Solving we get,
8x = -8
Dividing both side by 8 we get,
x = -1
which is the required solution of the given equation.
Thus, the appropriate first step for Charlotte to take to solve for x is expanding the brackets and the solution of the given equation is x = -1.
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f(x) = 4x – 10
g(x) = -8x2 + 6x – 10
Find: f(x) · g(x)
Answer: f(x) · g(x)=-32x³+104x²-100x+100
Step-by-step explanation:
Since we are given f(x) and g(x), all we have to do is multiply them together.
f(x) · g(x)=(4x-10)(-8x²+6x-10) [distribute by FOIL]
f(x) · g(x)=-32x³+24x²-40x+80x²-60x+100 [combine like terms]
f(x) · g(x)=-32x³+104x²-100x+100
Now, we have multiplied them together, we have f(x) · g(x)=-32x³+104x²-100x+100.
Reginald has to put fertilizer on his yard. The bags of fertilizer cost $4.79 and cover 3500 square feet. Reginald's yard is a rectangle that measures 427 ft by 231 ft. How much will he spend on fertilizer?
He'll spend 138.91 dollars.
First multiply 427 and 231 to find out how much square feet you need to cover. Then divide the number by 3500 to see how many bags of fertilizer you need. Since there is a remainder, he'll have to buy another bag. Then, multiply the number of bags needed with the price of each bag to get the amount of money spent.
Solve for x: 3x−7=7x+13
Answer:
x=-5
Step-by-step explanation:
[tex]3x-7=7x+13\\\\3x-7+7=7x+13+7\\\\3x=7x+20\\\\3x-7x=7x+20-7x\\\\-4x=20\\\\\frac{-1}{4}(-4x) =\frac{-1}{4}(20)\\\\x=-5[/tex]
Those are the math questions I need the answers of
Answer:
1)
[tex]12\sqrt{18}-3\sqrt{50}+\sqrt{32}[/tex]
[tex]12\sqrt{9}\sqrt{2}-3\sqrt{25} \sqrt{2} +\sqrt{16} \sqrt{2}[/tex]
[tex]12\times3\sqrt{2} -3\times5\sqrt{2}+4\sqrt{2}[/tex]
[tex]36\sqrt{2}-15\sqrt{2}+4\sqrt{2}[/tex]
[tex]25\sqrt{2}[/tex]
2)
[tex]\frac{1}{5+2\sqrt{6}}[/tex]
Multiply [tex]5-2\sqrt{6}[/tex]:
[tex]\frac{1\times \left(5-2\sqrt{6}\right)}{\left(5+2\sqrt{6}\right)\left(5-2\sqrt{6}\right)}[/tex]
Apply Difference of Squares formula: [tex](a+b)(a-b)=a^2-b^2[/tex]
[tex]\frac{5-2\sqrt{6}}{5^2-\left(2\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-2^2\left(\sqrt{6}\right)^2}[/tex]
[tex]\frac{5-2\sqrt{6}}{25-4\times6}[/tex]
[tex]\frac{5-2\sqrt{6}}{1}[/tex]
[tex]{5-2\sqrt{6}}[/tex]
a = 5, b = -2
What type of relationship is indicated by the following set of ordered pairs ? I don’t understand it .
Answer: Since the second differences are constant, there is a quadratic relationship between and .
Step-by-step explanation:
El M.C.M de: 60; 80 y 90
Step-by-step explanation:
wrong question.........??????
Answer:
what ?
Step-by-step explanation:
3(8⋅7−45)+5(6⋅4−1) Just checking to see if it is right
Answer: 148
Step-by-step explanation:
Answer:
3(8⋅7−45)+5(6⋅4−1) = 148
Please help !!!!!!Asap!!
A marine biologist discovered species with a diameter of 0.00085 inches. Express this measurement using scientific notation.
Answer:
8.5 or 8.50
Step-by-step explanation:
Move the decimal to the right four times, it will be in the middle of the 8 and 5.
2y=12+4y please show work
Answer:Step 1: Simplify both sides of the equation.
2y=4y+12
Step 2: Subtract 4y from both sides.
2y−4y=4y+12−4y
−2y=12
Step 3: Divide both sides by -2.
−2y
−2
=
12
−2
y=−6
Answer:
y=−6
Step-by-step explanation:
for auto tech and uhh it’s rlly just about starting a toolbox with tools sort of deal thing with a $600 budget
Danielle put 4.902 gallons of gasoline in a gas tank. What is 4.902 written in expanded form?
A. 4×1+9×110+2×1100
B. 4×1+9×110+2×11,000
C. 4×10+9×110+2×1100
D. 4×10+9×1100+2×11,000
Answer:
(4* 1) + (9 * 1/10) + (2 * 1/1000)
Step-by-step explanation:
Given the figure : 4.902
Writw the figure above in expanded form:
4.902
Using the place value indicators :
Unit___tenth___hundredth___thousandth
4______9_______0___________2
Unit:
4 × 1
After the decimal point :
Tenth :
9 × 1/10 =
Hundredth :
0 * 1/ 100
Thousandth:
2 * 1/1000
Hence :
(4* 1) + (9 * 1/10) + 0 + (2 * 1/1000)
Answer: B
Step-by-step explanation:
4x1+9x1/10+2x1/1000
what is the gradient of the line 3x+y=4
Answer:
The slope is - 3Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
The equation is 3x+y = 4
To find the slope of the line we must first write the equation in the general form above
Make y the subject
That's
y = - 3x + 4
Comparing with the general equation above
Slope of the line = - 3
Hope this helps you
round 9.69 to the nearest whole number
Rounding 9.69 to the nearest whole number gives us 10.
Given that we need to round the decimal number 9.69 to the nearest whole number,
To round 9.69 to the nearest whole number, we look at the decimal part of the number, which is 0.69.
Since the decimal part is greater than or equal to 0.5, we round the whole number up to the next higher number. In this case, 9.69 is closer to 10 than to 9, so we round it up to 10.
Therefore, rounding 9.69 to the nearest whole number gives us 10.
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The ratio of toucans to macaws at the zoo was 5 to 7. If there were 60 total birds, how many were macaws?
Answer:
5+7=12
12=60
7=?
cross multiply
7×60/12
35macaws
what is the value of -2|6x -y| when x-3 and y =4
So, we have been given the following
[tex]-2(6x -y)[/tex]
But, we have also been given heads up that [tex]x=-3[/tex], and [tex]y=4[/tex].
So, that would mean the new equation would be the following.
[tex]-2(6-3 -4)[/tex]
After we solve it our answer should be [tex]2[/tex]!
If this helps then please mark me brainliest!
Answer:
-44Step-by-step explanation:
Given:
-2|6x -y|x = -3y = 4Solution:
-2|6*(-3) - 4| =-2|-22| =Absolute value is always positive, therefore |-22| = 22
-2*22 =-44what is 966×54278 what is the answer
Which problem can be represented by the equation 12z + 2 = 98?
Each train car holds 12 tons of ore. A production facility currently has 98 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 12 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 98 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 98 tons of ore. A production facility currently has 12 tons of ore. The production facility needs a total of 2 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Each train car holds 98 tons of ore. A production facility currently has 2 tons of ore. The production facility needs a total of 12 tons of ore. How many train cars of ore will be required to bring enough ore to the production facility?
Answer:
Its A i took the test while looking at this but no one awnsers so i took a leap and got the right answer here ya go buddy sorry if its not the same anwser for you
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
I need help with math please
Answer:
47/30
Step-by-step explanation:
2.35 * 2/3 =
= 2 35/100 * 2/3
= 2 7/20 * 2/3
= 47/20 * 2/3
= 94/60
= 47/30
Answer:
47/30
Step-by-step explanation:
4. Order the set of numbers from least to greatest: (4 points)
5
6
-5,
5.-26
31
6
O
31
6
.- 26, -5,
-5. -
6
O 5
6'
31 -126
-5,
6
O -126
31
5
6
O 5
6'
-5, -√26,
31
6
Answer:
Sorry to waist your time but no one would know this not even the person who made the question.
Step-by-step explanation:
NEED IT ASAP
what’s is the quotient
2 1/5
———
-1/10
Answer:
2 1/5 ---- 1/10 = 21
10
= 21
10
= 2.1
Step-by-step explanation:
Use the FOIL method to find the product below.
(x + 5)(x2 – 3x)
A. x3 + 2x2 - 15
B. x3+ 5x2 - 15x
C. x3+ 2x2 - 15x
D. x3 + 5x2 - 15
Answer:
work is pictured and shown
what is b ? -14 - 5b + 2b = -2 - 2(1 - b)
Answer: B = -2
Step-by-step explanation:
-14 - 5b + 2b = -2 - 2(1 - b)
-14 -3b = -2 -2 + 2b
-14 - 3b = -4 + 2b
-10 = 5b
b = -2
I'm bad at explaining
Answer:
b = -2
have fun
A water pail in your backyard has a small hole in it. You notice that it has drained a total of 0.5 liter in 4 days. What is the average change in water volume each day?
Answer:-0.125
Step-by-step explanation:
The average change in water volume is -0.125 liter per day.
What is the positive square root of 81?
Answer:
the positive square root of 81 is 9
Step-by-step explanation:
9 times itself equals 81
What is the distance between P(-3, 10 ) and Q( 12,-6)
2 5 x y + =
Solve for Y
Please hellppppppppp
Lynn and Max are divers. Lynn's depth gauge says she is 43.6 feet deep. Max's depth gauge says that he is 54.2 feet deep. Who is closer to the surface? Write two statements of inequality to describe the situation.
Answer: Lynn is closer to the surface.
Step-by-step explanation:
Lynn is 43.6 deep meaning -46.3. Max is 54.2 feet meaning that he is -54.2 feet below sea level. so the smaller the number the close it is to 0 (which in this case is the surface) hope this helped
Help how do i do these
Answer:
Step-by-step explanation: What I would do is make the triangle into a square and what ever is mirroring it i would put that for my answer and then I would round it. I used to do this i don't exactly remember. Sorry if this doesn't help.
The diagram is not drawn to scale
14.
2x-9
Find the value of x.
Answer:Step-by-step explanation:
10
The value of the x is 8 if after using the property of a similar triangle.
What is the similarity law for triangles?
It is defined as the law to prove that the two triangles have the same shape, but it is not compulsory to have the same size. The ratio of the corresponding sides is in the same proportions and the corresponding angles are congruent.
We have a triangle shown in the picture.
By using the property of a similar triangle:
2/1 = 14/(2x-9)
2x - 9 = 7
2x = 7 + 9
2x = 16
x = 8
Thus, the value of the x is 8 if after using the property of a similar triangle.
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