[tex]12>-2(y-4)\\\\\implies -\dfrac{12}2 <y-4~~~;[\text{Dividing by a negative number, so reverse the inequality.}]\\\\\implies -6<y-4\\\\\implies -6+4<y\\\\\implies -2<y\\\\\implies y>-2\\\\\text{Interval,}~ (-2,\infty)[/tex]
The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.
The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.
By factor the polynomial we get the following roots:
[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]
[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]
Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].
To learn more on rectangles, we kindly invite to check this verified question: https://brainly.com/question/10046743
30% of 70 is what?
me is not smart
Answer:
21
Step-by-step explanation:
30/100 × 70= 2100/100
= 21
y=2x squared +4x-1 . help me
Answer:
y = 9/8 for part one of solving y in this equation .
Step-by-step explanation:
Answer:
x= (√2y+6/2)-1
Step-by-step explanation:
Swap sides so that all variable terms are on the left hand side.
2x^2+4x−1=y
Subtract y from both sides.
2x^2 +4x−1−y=0
Using quadratics formula:
x=-4±√4²-4*2(y-1)/2*2
x= −4±2√ 2y+6/4
Next solve the equation by using either ± = subtraction or addition
I am using ± = addition. This means I add -4 to 2. From there I simplify equation.
x= (√2y+6/2)-1
Not sure if this means to find x, but I think this is what it would be.
Which expression is equivalent to 9x – 2x2 + 4x – x?
Answer:
-2x^2+12x
Step-by-step explanation:
Solve the quadratic equation given.
6x2 - 24 = 0
[tex] {6x}^{2} - 24 = 0 \\ = > 6( {x}^{2} - 4) = 0 \\ = > 6 {((x)}^{2} - {(2)}^{2} ) = 0 \\ = > 6(x - 2)(x + 2) = 0 \\ = > 6(x - 2) = 0 \: \: \: or \: \: 6(x + 2) = 0 \\ = > 6x - 12 = 0 \: \: \: or \: \: \: 6x + 12 = 0 \\ = > x = 2 \: \: \: or \: \: \: x = - 2[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
h(x) = x^2 - 5x +7
Find h(-5)
Answer:
57
Step-by-step explanation:
h(-5) = (-5)^2 - 5(-5) + 7
h(-5) = 25 + 25 +7
h(-5) = 57
Answer:
[tex]\bold{h(-5)=57}[/tex]
Step-by-step explanation:
Substitute [tex]-5[/tex] for everywhere there is [tex]x[/tex]
[tex]h(x) = x^2 - 5x +7\\=-5^2 - 5(-5) +7[/tex]
[tex]-5^2 - 5(-5) +7[/tex]
PEMDAS order of operations
Parenthesis
[tex]\bold{-5\times(-5)}\\=25[/tex]
[tex]-5^2+25 +7[/tex]
Exponents
[tex]\bold{-5^2}\\=-5\times-5\\=25[/tex]
[tex]25+25 +7[/tex]
Addition
[tex]25+25+7\\=50+7\\=57[/tex]
Therefore, [tex]\bold{h(-5)=57}[/tex].
A solid wood cone 12 cm in diameter and 8 cm high sells for $1.19. A second wood cone is 17 cm in diameter and 12 cm high. the fair price for this second cone rounded to the nearest cent, is
a) $2.53,
b) $3.58
c) $5.06
d) $10.75
e) $14.33
Answer:
Answer is a
Step-by-step explanation:
I think it's "A", im looking for answer as well :(
3. In a survey of 200 people about a bus company, 77 said they were satisfied with the bus
company's performance. What percent of the people were satisfied with the bus company's
performance?
O 23%
38.5%
061.5%
077%
The percentage of the people that were satisfied with the bus company's performance is: B. 38.5%
Given the following data:
Population = 200 peopleSatisfied people = 77 peopleTo determine the percentage of the people that were satisfied with the bus company's performance:
In this exercise, you're required to find the number of the people that were satisfied with the bus company's performance as a percentage of the total population in this survey.
Thus, we would use this formula:
[tex]Percentage = \frac{Satisfied\;people}{Population} \times 100[/tex]
Substituting the given parameters into the formula, we have;
[tex]Percentage = \frac{77}{200} \times 100\\\\Percentage = \frac{77}{2}[/tex]
Percentage = 38.5%
Read more on percentage here: https://brainly.com/question/14432715
It took Mr. Jefferson 20 minutes to ride the 5-mile path along the lake at a constant speed on his bike. Which equation below could be used to determine the number of miles, x, Mr. Jefferson could ride in 12 minutes at that same constant speed?
Answer:
Part A. 4x
Part B. Mr. Jefferson could ride 3 miles in 12 minutes
Step-by-step explanation:
Part A. 4 being the time it takes him to travel 1 mile and x being the number of miles rode.
Part B. To find the time it took him to travel each mile I divided 20 by 5 which gave me four. Then to find the miles he could ride in 12 minutes I divided 12 from 4 which gave me three, stating that he could travel 3 miles in 12 minutes.
__________________________________________________________
Hope this helps!!!
If I am incorrect, please tell me; I enjoy learning form my mistakes:)
the graph of linear function g is shown on the grid
what is the zero of g
-6
-9
0
-5
just solved this easy question 2 + 2 × 2 + 2 ÷ 2=
Answer:
7 is the answer.
Pls mark brainliest.
Write an explicit formula for a_na n , the n^{\text{th}}n th term of the sequence 72, 12, 2,
Answer:
divide by 6
Step-by-step explanation:
Find the total surface of :
Gerry purchases 12 hamburgers at a fast food restaurant for $2.25 each. For half the amount of money, he could purchase 5 buffalo chicken sandwiches. How much does 12 burgers cost?
Find the zeros of ƒ(x) = x3 + 6x2 + 8x.
A) x = 0, –2, –4
B) x = 0, 2, 4
C) x = 2, 4
D) x = –2, –4
Answer:
Option A: [tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
Step-by-step explanation:
[tex]f(x)=x^3+6x^2+8x[/tex]
[tex]0=x^3+6x^2+8x[/tex]
[tex]0=x(x^2+6x+8)[/tex]
[tex]0=x(x+2)(x+4)[/tex]
[tex]x=0[/tex], [tex]x=-2[/tex], and [tex]x=-4[/tex]
[tex]x^3+6x^2+8x = 0\\\\\implies x^3+2x^2 +4x^2+8x =0\\\\\implies x^2(x+2) +4x (x+2) =0\\\\\implies (x+2)(x^2 +4x) = 0\\\\\implies x (x+2) (x+4)=0\\\\\text{Hence,} \\\\x = 0 ,-2,-4[/tex]
Pls help if correct ill mark brainliest. fill in the blanks with the correct term :p
Answer:
11. attends
12. attend
If triangle ABC is congruent to DEF, then what side is congruent to BC?
A. FD
B. EF
C. ED
D. CA
Answer:
EF
Step-by-step explanation:
BC is the hypotenuse of the left triangle. The corresponding side on the right triangle would be EF.
Answer:
EF
Step-by-step explanation:
The corresponding side to BC is EF.
Look at the bolded letters
ABC ⇒ DEF
notice the similarities?
7x - 4 = -18?
please give an answer.
Answer:
x=-2
Step-by-step explanation:
7x - 4 = -18
+ 4. +4
7x = -14
÷7. ÷7
x=-2
Answer:
x = -2Step-by-step explanation:
7x - 4 = -18?
7x - 4 = -18
7x = -18 + 4
7x = -14
x = -14 : 7
x = -2
-----------------
check
7 * (-2) - 4 = -18
-14 - 4 = -18
-18 = -18
the answer is good
60.98 x 62xv Whats v
I need help with this question
Answer:
Option D
Step-by-step explanation:
a^2 + b^2 = c^2
5^2+b^2=9^2
25+b^2=81
b^2=56
b=2√14
Need help now pls on HS geometry
Answer:
b
Step-by-step explanation:
RT is a perpendicular bisector of QS , then
Δ QRS is isosceles with 2 congruent legs , that is
QR = SR
7x - 22 = 4x + 5 ( subtract 4x from both sides )
3x - 22 = 5 ( add 22 to both sides )
3x = 27 ( divide both sides by 3 )
x = 9
Then
RS = 4x + 5 = 4(9) + 5 = 36 + 5 = 41
5 |2x + 6| = 25 what is x
Step-by-step explanation:
මාපාංක සුලු කිරිම.
l xl means ± x .
then |2x+6| = ±(2x+6)
for positive no;
5 (2x+6) = 25
10x + 30 = 25
10x = -5
x = -1/2
for negative no;
5(-2x - 6) = 25
-10x - 30 = 25
-10x = 55
x = - 11/2
otherthan that I observed.
5 |2x + 6| means only consider about the positive number. i think it called as amplitude.
then you have to calculate by considering only considering plus value.
How ever in my openion is first method is correct. i have doubt about that. so you have to discuss your teacher dear. to find correct way.
Find the unknown side (w) of the rectangular solid. Please help..
Answer:
2 cm
Step-by-step explanation:
8x13=104
208/104=2
3(x+2)+5x how do i simplify that expression?
Answer:
2(4x+3)
Step-by-step explanation:
Distribute 3 ( + 2 ) + 5 to 3 + 6 + 5
Combine the terms 3 + 6 + 5 to 8 + 6
Common factor Factor 3 ( + 2 ) + 5 to 2 ( 4 + 3 )
The measure of angle b = 80° and the measure of angle c = 40°. the measure of angle a equals....?
angle a = 180°-80°-40°=60°
for each value c determine how many solutions the system has
Answer:
can we get a picture or something? we cant help unless we have more context
Step-by-step explanation:
Help!!
So I think that someone is tracking my truck with an apple airtag but I don't know for sure. The only apple product I have is an iPad and I don't know how to check if an airtag is near by!!
Answer:
well....
Step-by-step explanation:
trow the apple
CAN SOMEONE HELP ME PLEASE ASAP!?
if u can get a better picture I can help you
Describe the translation in j(x)=(2x)+3 as it relates to the graph of the parent function?
Answer:
Horizontal compression by a factor of 2 followed by a vertical shift by positive 3
Step-by-step explanation:
a*f(k(x-d))+c
k=2
c=3
Harry had $32. He spent all the money buying three notebooks for x dollars each and four packs of index cards for y dollars each. If Harry had bought five notebooks and five packs of index cards, he would have run short by $18. The following system of equations models this scenario: 3x 4y = 32 5x 5y = 50 Use the system of equations to solve for x and y. (8, 2) (1, 5) (2, 8) (5, 1).
Answer:
x = notebooks
y = indexboks
3x+4y=32 ( here is spent all money so I add 32 here )
5x+5y=50
by elemination method
3x+4y=32×5
5x+5y=50×4 ( here I'm going to eliminate y )
15 x+20y= 160
20x+20y= 200
- - = -
____________
-5x = -40
x = - 40 / -5
x = 8
here - × - = + so iam taking positive 8
now substitute the value of x in any equation
3×8+4y = 32
24 + 4y = 32
4y = 32-24
y = 8 / 4
y = 2
CHECKING
SUBSTITUTE BOTH VALUES IN ANY EQUATION
5×8+5×2 = 50
40 + 10 = 50
50 = 50
I SUBSTITUTE IN 2ND EQUATION
Answer:
(8,2)
Step-by-step explanation:
Given that:
3x + 4y = 32 --------- eq1
5x + 5y = 50 --------- eq2
From taking 5 common from eq2:
x + y = 10
Or it can also be written as:
x = 10 - y ----------eq3
Now put this value of x in eq1
3(10 - y) + 4y = 32
By simplifying:
30 - 3y +4y= 32
30 +y = 32
Subtracting 30 from both sides:
y = 32 - 30
y = 2
Putting value of y in eq 3
x = 10 - 2
x = 8