Simplify the expression. (5x^3+4x^2+6x-3)+(-2x^3+3x^2-7x+9)-(5x+3)(4x^2+x-1)
Answer:
-17x³-10x²+x+9
Step-by-step explanation:
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(5x+3)(4x²+x-1)
(5x³+4x²+6x-3)+(-2x³+3x²-7x+9)-(20x³+5x²-5x+12x²+3x-3)
(3x³+7x²-x+6)-(20x³+17x²-2x-3)
-17x³-10x²+x+9
find the value of x. write your answer in simplest radical form
Answer:
[tex]x = 4 \sqrt{2} [/tex]Step-by-step explanation:
To find the value of x we can use either sine or cosine
Using cosine we have
[tex] \cos(\theta) = \frac{adjacent}{hypotenuse} [/tex]From the question
x is the hypotenuse
4 is the adjacent
We have
[tex] \cos45= \frac{4}{x} \\ x \cos45 = 4 \\ x = \frac{4}{ \cos(45) } [/tex]We have the final answer as
[tex]x = 4 \sqrt{2} [/tex]Hope this helps you
Step-by-step explanation:
Sinø=opp/hyp
Sin45=4/x. (× b.s by x)
xSin45=4. (÷ b.s by Sin 45)
x=4/Sin45
x=4.7
Jackson and Derek have a lemonade stand. They sell lemonade
bob removed 24 fish for his pond over a period of 8 days. He removed the same number of fish each day what was the change in the pond each day
Answer:3
Step-by-step explanation:
24 fish divided by 8 days = 3 fish per day.
In the following figure, the teacher asks a student named Jerrica to find the length of segment AM. Jerrica sets the two sides equal to each other, does some algebra, and proclaims that the length of segment AM is 8 units long
State whether Jerrica is correct in her conclusion. If she is incorrect, explain the source of her error and give the correct length. In at least four sentences, support your response with a brief explanation. Be sure to include the terms midpoint, segment, and bisector in your explanation.
Answer/Step-by-step explanation:
Let us try to find the lenght of AM step-by-step to see if Jessica is correct or incorrect in her conclusion and possibly find out where she made an error if she's incorrect.
Now briefly, keys state some facts that explains or guides us while solving a problem like this:
1. Point M is the midpoint of segment AB.
2. The midpoint M, is a bisector of segment AB.
3. Segment AB is divided into two congruent or equal parts, AM and MB.
4. Therefore, by implication, segment AM (4x - 18) = segment MB (2x - 2).
5. To find the lenght of AM, we need to generate an equation to enable us solve for the value of x.
6. Equation to use to solve using algebra can be gotten by setting segment AM equal to segment MB. Which gives us:
4x - 18 = 2x - 2
Solve for x. Combine like terms.
4x - 2x = 18 - 2
2x = 16
Divide both sides by 2
x = 8
To find the lenght of AM = 4x - 18, replace x with 8 in the expression for the lenght of segment AM. (Note: this is what Jessica failed to do. She assumed 8 to be the length of segment AM.)
AM = 4(8) - 18 (Substitution)
AM = 32 - 18
Length of segment AM = 14 units
Jessica's error was her assuming that x = 8, is the length of segment AM. Her conclusion is wrong.
She ought to have plug in the value of x into the expression given for the lenght of segment AM.
-15 - 7= Please help if you know what it is please show work if you can as well? :)
Answer:
-22
Step-by-step explanation:
Find the equation of a line that is parallel to the line y = 3x and contains the point (1, -2).
e
y=(Type your answer in slope-intercept form.)
st
Answer:
y = 3x - 5
Step-by-step explanation:
Slope-Intercept Form: y = mx + b
Step 1: Define variables
Slope m = 3
Random point (1, -2)
Step 2: Plug in known variables
y = 3x + b
Step 3: Find b
-2 = 3(1) + b
-2 = 3 + b
b = -5
Step 4: Write parallel linear equation
y = 3x - 5
Helpppp I need to turn this in ASAP
Well, this should be a bit easy.
We can move the negative sign to the denominator:[tex] \frac{3}{-8}[/tex]
We can also multiply the entire fraction by an integer.
( I would perfer [tex] \frac{3}{-8}[/tex] as the answer)
:)
s=gr-5gc³, solve for g
Answer:
g=r/1+5c3
Step-by-step explanation:
............ ........
need help 6th grade math
Need soome help on this homework question thanks
Answer:
See Below
Step-by-step explanation:
h(x)= -x^2+3x for h(-3)
"If four shirts cost $112, how much will 10 shirts cost? Assume all the shirts are the same price."
Answer:
$280
Step-by-step explanation:
4 shirts = $112
1 shirt = $112 ÷ 4
= $28
10 shirts = $28 × 10
= $280
Answer:
Step-by-step explanation:
112/4= $28 each
$28 x 10 shirts = $280
The two pentagons in the sketch below are congruent. Which sequence could transform pentagon GHIJK to pentagon
LMNOP?
-A rotation 90° counterclockwise about the origin followed by a translation 6 units down
-A rotation 90° clockwise about the origin followed by a translation 6 units down
-A rotation 180° clockwise about the origin followed by a translation 6 units down
-A rotation 90° counterclockwise about the origin followed by a translation 6 units up
Answer:
b
Step-by-step explanation:
its b
Answer:
Its B.
Step-by-step explanation:
a brownie recipe requires 2/3 cup of sugar for 1/3 batch of brownies. how much sugar is need for 1 batch of brownies?
Answer: 2 Cups
Step-by-step explanation:
1/3 * 3 = 1
2/3 * 2 = 2
Answer:
you will need 2 cups of sugar for 1 batch of brownies
Step-by-step explanation:
2/3 cup ×3 = 6/3 cups or 2 cups
HELP QUICK
Remove grouping symbols and combine like terms.
4a2 - 3[2b - 3b(b - 1)]
Answer:
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Step-by-step explanation:
Distributive Property
[tex]4a^2 - 3(2b - 3b^{2} + 3b)[/tex]
Distributive Property
[tex] {4a}^{2} - 6b + 9b^{2} + 9b[/tex]
Combine Like Terms
[tex]4a^{2} + 9b^{2} + 3b[/tex]
Find the midpoint of the line segment with the given endpoints (-1,-6) (-6,5)
The correct answer is (-7/2,-1/2) or (-3.5,-0.5) To find the midpoint of a segment, add both "x" coordinates, divide by 2. Then add both "y" coordinates, and divide by 2
Please explain how this digraph works.
Angles XQL and MQR are congruent because they are vertical angles. So
209 - 13 b = 146 - 4 b
Solve for b :
209 - 13 b = 146 - 4 b
209 - 146 = 13 b - 4 b
63 = 9 b
b = 63/9 = 7
Then the measure of angle XQL is
(209 - 13*7)º = 118º
What is the solution of the following quadratic inequality? x2 – 4x – 21 ≤ 0
Answer:
This is the answer
Answer: B
Step-by-step explanation:
15 out of 60 is what percentage
Si x2 = 3 a que es igual x6
Answer:
x2=3
x= 3/2
x= 1.5
x•6= 1.5•6
x=9
(Number 5)help plzzz
Answer:
See below.
Step-by-step explanation:
So we want to prove that:
[tex]\sqrt8+\sqrt2=3\cdot 2^{\frac{1}{2}}[/tex]
First, simplify √8. This is the same as:
[tex]\sqrt8=\sqrt{4\cdot 2}=\sqrt4\cdot\sqrt2=2\sqrt2[/tex]
Therefore, our equation is now:
[tex]2\sqrt2+\sqrt2=3\cdot2^{\frac{1}{2}}[/tex]
Combine like terms on the left:
[tex]3\sqrt2=3\cdot 2^\frac{1}{2}}[/tex]
The square root of something is the same as taking that number to the one-half power. Thus:
[tex]3(2)^\frac{1}{2}}=3\cdot 2^\frac{1}{2}}[/tex]
Rewrite:
[tex]3\cdot2^\frac{1}{2}}\stackrel{\checkmark}{=}3\cdot2^\frac{1}{2}}[/tex]
And we're done!
what is the first step to solve -2x+5x=9
Answer:
Step-by-step explanation:
Hello,
You need to group the terms in x
[tex]-2 \times x + \times x = (-2+5) \times x = 3 x[/tex]
And then, you can divide by 3 to find the solution
[tex]-2x+5x=3x=9<=>x=9/3=3[/tex]
Hope this helps
Answer:
add the x's
You have to combine them
you have to subtract the -2x to the 5x
Find the weighted average of these values.
Value Weight
5.005.00 75.0%75.0%
6.006.00 15.0%15.0%
7.007.00 10.0%10.0%
Answers:
The Weighted Average = 5.35
Explanation:
The weighted average is given by:
W(avg) = v1*w1 + v2*w2 + v3*w3
v1.v2.v3 are the values
w1,w2,w3 are the weights
W(avg) = 5.00*0.75 + 6.00*0.15 + 7.00*0.10
W(avg) = 3.75+0.9+0.7
W(avg) = 5.35
Hence, the weighted average is equals to 5.35
make the numbers from 1 to 20 using the numbers 1 9 8 4
Answer:
9-1+8+4
Step-by-step explanation:
9-1=8
use that 8 and add the other 8 to make 16
now add the 4. 16+4=20
Answer:
1, 4, 8, 9, 11, 14, 18, 19
Where in real life do you work with radical expressions and functions? Give an example of your own.
Answer: Radical expressions are utilized in financial industries to calculate formulas for depreciation, home inflation and interest. Electrical engineers also use radical expressions for measurements and calculations.
Step-by-step explanation: Example: √x+y
√16
12+√x
√3*x²
Solve for Xon the following Equations.
1. 4 + 7 x X = 22
Step-by-step explanation:
4 + 7 x X = 22
4+7x=22
7x=22-4
7x=18
x=18/7
What is 17% of 425=?
Find the midpoint between -3π and π
The midpoint is -1π.
Answer:
The midpoint is -1π.
Step-by-step explanation:
If 13x+2=15 then 6x=?
Answer:
6x=6
Step-by-step explanation:
13x+2=15
13x=13
x=1
Answer: 6x = 6
X = 1
Step-by-step explanation:
First you need to find the value of x with the equation given.
13x = 13 (I subtracted 2 from both sides)
X = 1