5x + 2 <22
Inequality
Answer:
the answer to the inequality is
Step-by-step explanation:
x = 3
Answer:
[tex]x < 4[/tex]
Step-by-step explanation:
1) Subtract 2 from both sides.
[tex]5x < 22 - 2[/tex]
2) Simplify 22 - 2 to 22.
[tex]5x < 20[/tex]
3) Divide both sides by 5.
[tex]x < \frac{20}{5} [/tex]
4) Simplify 20/5 to 4.
[tex]x < 4[/tex]
So, therefor, the answer is, x < 4.
Given the function, where a, b, and c are positive numbers:
f(x) = (x - a)(x - b)2(x2 + c)
How many real roots does f(x) have, including multiple roots? |
How many imaginary roots does f(x) have?
Answer:
2 real roots and 1 imaginary roots
Step-by-step explanation:
f(x) = [tex](x-a)(x-b)^{2} (x^{2}+c)[/tex]
There are only 2 real roots and one imaginary roots.
Separate the equation into sections because the function is a multiplication with no outside sum or substraction:
Real Roots:
[tex](x-a)[/tex] = 0 when x = a
[tex](x-b)^{2}[/tex] = 0 when x = b
Imaginary roots:
[tex](x^{2}-c)[/tex] = 0 when x = [tex]\sqrt{-c}[/tex]
Mary spent a total of $291.30 for a party she spent $200.37 on food plus an additional $30.31 for each hour of the party how long was the party
Step-by-step explanation:
total money = $291.30food money = $200.37party money = total money - food money = $291.30 - $200.37 = $90.93party money each hour = $30.31party hour = $90.93 ÷ $30.31 = 3hoursMARK ME BRAINLISTPLZ FOLLOW MEPut together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's collection. How many matchbooks are in Tremaine's collection? How many matchbooks are in Dulcina's collection?
Answer:
Let the Dulcina's collection be 'x'
Let the Tremaine collection be 'x-39'
x + x - 39 =129
2x = 129 +39
2x = 168
x = 168/2
x = 84
Dulcina's collection = x = 84
Tremaine's collection = x - 39 = 84 - 39 = 45
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. Using the average selling price of $1,000 per first-class seat, the total selling price for one new row is
f(r) = 4,000r. Each row in first class eliminates two rows of economy seats. Using the average selling price of $150 per economy seat, the total price for each pair of removed rows is e(r) = 1,800r.
Which is d(r), the profit or loss for adding r rows of first class seats?
A. d(r) = 2,200r
B. d(r) = 5,800r
C. d(r) = –2,200r
D. d(r) = –5,800r
Step-by-step explanation:
From the original question, we can rewrite this as:
An airplane company is determining the difference in selling price if rows of first-class seats are added to a new design. The total selling price for one new row is f(r) = 4,000r. Each row in first class eliminates a pair of rows of economy seats. The total price for each pair of removed rows is e(r) = 1,800r. Which is d(r), the profit or loss for adding r rows of first class seats?
f(r) = 4000r
e(r) = 1800r
d(r) = ? (profit or loss)
Assuming we had added a row of first class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, OPTION A.) d(r) = 2200r
The value of d(r) will be 2200r. The correct option is A.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Assuming we had added a row of first-class seats,
+ f(r) = 4000r
But we had to remove a pair or rows from the economy seats,
- e(r) = 1800r
Translating these into one equation:
d(r) = f(r) - e(r) = 4000r - 1800r = 2200r
Therefore, the value of d(r) will be 2200r. The correct option is A.
To know more about an expression follow
https://brainly.com/question/16004066
#SPJ2
HELP ILL MARK YOU BRAINLIST
Answer:
[tex]-\frac{3}{2}[/tex]
what did you put for #3?
Answer:
huh
Step-by-step explanation:
SOMEONE HELP PLEASE!! ITS DUE AT 16:00 UK TIME ILL GIVE YOU BRAINLIEST IF ITS RIGHT!!!
Answer:
From left column to right
Left Right
1. 23a+18 1. 7a-6
2. 23a-6 2. 7a-18
3. 23a-18 3. 7a+6
4. 0a+4 4. 0a+0
Step-by-step explanation:
The first example you distribute by doing 3 x 5a plus 3 x 2 + 4 x 2a + 4 x 3
Answer is 15a+6+8a+12=
23a+18
Hope this helped :)
What is 20.30 - 19.70 and what are the solving steps?
Answer
0.6
Step-by-step explanation:
here is the working out! Can i get brainliest
Answer:
Look at the image!!
Step-by-step explanation:
Hope this helps!!
Sorry for the bad righting XD
If you want to learn more search Mathisfun.com!!
Maureen is in charge of renting a climbing wall for the school’s fundraiser. The equation y = 170x represents the total cost of renting a climbing wall from Company A. The table shows the relationship between cost and rental time for Company B. The graph shows the relationship for Company C. Which company, if any, offers the best deal? Explain.
GRAPH COMPANY B:
2 340
3 510
4 680
5 850
GRAPH COMPANY C:
2 350
3 525
4 700
5 875
PLEASE EXPLAIN NOT ONLY SAYING WHICH COMPANY ONLY??!!
Answer:
Company A and B
Step-by-step explanation:
For company A- 170 is the cost for one hour
For company B- 170 is the cost for one hour
For company C- 175 is the cost for one hour
So company A and B offer the best deal since they both offer $170 per hour.
Find the value of x.
Answer: x = 20
Step-by-step explanation:
The angle is 90 degrees so we can make an equation
with it.
3x + 10 + x = 90
Combine like terms
4x + 10 = 90
subtract 10 from both sides to cancel it out
4x = 80
Now divide by 4 to leave x by itself
x = 20
Now you can check if it's correct by plugging in x to the equation given
3(20) + 10
60 + 10
70
20 + 70 = 90 degrees
Answer:
D: 20 degrees
Step-by-step explanation:
First, we add 3x+10 and x together because they are within a right angle, which is 90 degrees. This gives the equation 4x+10=90. We solve from here.
We subtract 10 from both sides to isolate the x-variable. 90 minus 10 equals 80. This gives us the equation 4x=80. To further isolate the x-variable, we divide both sides by 4. 80 divided by 4 equals 20.
This leaves us with x=20.
Hope this helped!
help me with this pleas w
Answer: 8
Step-by-step explanation:
4x8= 32
32x8= 256
256x8= 2048
Can you guys help me please
Answer:
a = 42
Step-by-step explanation:
2a + 16 + 80 = 2a + 96
2a + 96 = 180
2a = 84
a = 42
CAN SOMEONE PLEASE HELP ME!!
Answer:
Idont know
Step-by-step explanation:
Answer:
ur answer is b
Step-by-step explanation:
ur welcome
Consider the equation: x^2+10x+22=13
Need help asap!!!!
this is due in a hour!
Answer:
(x + 5)^2 = (5 - 3)^2
Step-by-step explanation:
Given the equation;
x^2 + 10x + 22 = 13
We have;
x^2 + 10x = 13 - 22
x^2 + 10x = -9
Adding half of 10 to both sides and completing the square as usual, we have;
(x + 5)^2 = 5^2 + (-9)
(x + 5)^2 = (5 - 3)^2
Quadrilateral HIJK is similar to quadrilateral LMNO. Find the measure of side OL.
Round your answer to the nearest tenth if necessary.
K
19
J
с
58
N
42
M M
H Н
L
Answer:
128.2
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. The types of triangles are scalene, equilateral, isosceles, and right angled triangle.
Two triangles are said to be similar if the ratio of their corresponding sides are in the same proportion.
Since Quadrilateral HIJK is similar to quadrilateral LMNO, therefore the ratio of their corresponding sides is equal to each other. Hence:
[tex]\frac{OL}{HK}=\frac{ON}{KJ}\\\\substituting:\\\\\frac{OL}{42}=\frac{58}{19} \\\\OL=\frac{58*42}{19} \\\\OL=128.2[/tex]
Write each power as a product of the same factor. Then find the value. 7^2
Answer:
49
Step-by-step explanation:
7^2=49
find the area of E?? i really need this done please and thank you
Answer: 24 square inches
Step-by-step explanation:
To get the whole area Multiply length x width
12 x 7 = 84
Now we get the area of the space in the rectangle
6 x 5 = 30 and multiply that by 2 since there are 2 spaces
in the rectangle.
30 x 2 = 60
84 - 60 = 24
I WILL GIVE BRAINLIEST IF CORRECT
Answer:
Vertical compression
Step-by-step explanation:
g(x)=0.25f(x), if you substitute for f(x) you get B
The sum of the interior angles of each polygon is 360°. In the diagram ABCD=HGEF find the values of x and y look at photo below
Answer:
x = 3
y = 60°
Step-by-step explanation:
The given parameters of the figures are;
The sum of the interior angles of each polygon (quadrilaterals) = 360°
Quadrilateral ABCD = Quadrilateral HGEF
∴ ABCD ≅ HGEF
Therefore;
Segment AB ≅ Segment HG, by Corresponding Sides of congruent polygons are congruent
∴ The length of segment AB = 3 ft. = The length of segment HG = x ft.
∴ 3 ft. = x ft.
x = 3
Similarly, we have;
∠A + ∠B + ∠C + ∠D = 360° Given
∠B = 100°, and ∠D = 70° Given
∴ ∠A + ∠C = 360° - (∠B + ∠D) = 360° - (100° + 70°) = 190°
∠A + ∠C = 190°
∠A ≅ ∠G and ∠C ≅ ∠E Corresponding angles of congruent polygons are congruent
∴ ∠A = ∠G and ∠C = ∠E By definition of congruency
∴ ∠A + ∠C = ∠G + ∠E = 190° by transitive property
∠G = (2·y + 2)°, and ∠E = (y + 8)° Given
∴ ∠G + ∠E = (2·y + 2)° + (y + 8)° = (3·y + 10)° = 190°
3·y = 190° - 10° = 180°
y = 180°/3 = 60°
y = 60°
The value of x and y are 3 feet and 72 degrees respectively
Angle in a quadrilateral.From the given quadrilaterals, the sum of adjacent angles is 180 degrees.
Hence from figure;
m<E + m<F = 180m<B = m<F = 100y + 8 + 100 = 180
y + 108 = 180
y = 180 - 108
y = 72degrees
Similarly;
m<D = mG = 70 degrees.
AB = GH = 3 feet
Hence the value of x and y are 3 feet and 72 degrees respectively
Learn more on Angle in a quadrilateral here: https://brainly.com/question/10975107
In ΔQRS, q = 370 cm, r = 910 cm and ∠S=31°. Find the length of s, to the nearest centimeter.
Answer:623
Step-by-step explanation:
What is the length of a diagonal of rectangle EFGH?
Answer:
Step-by-step explanation:
So it is 3 by 7 rectangle and diagonal
FE=3 EH=7 so FH=6
3x-4y=16 slope and intercept form
Answer:
y=3/4x-4
Step-by-step explanation:
The form is y=mx+b so isolate y
-4y=16-3x
y=-16/4-3x/-4
y=3/4x-4
Answer:
y = 3/4x - 4
Step-by-step explanation:
Slope intercept form: y = mx + b
3x - 4y= 16
-4y = 16 - 3x
4y = -16 + 3x
y = -4 + 3/4x
y = 3/4x - 4
What is the value of x?
Answer:12
Step-by-step explanation:
how to find imaginary zeros anf real zeros of F(x)=-4x^5-8x^3+12x
Answer:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
Step-by-step explanation:
We are given the function:
[tex]f(x)=-4x^5-8x^3+12x[/tex]
And we want to finds its zeros.
Therefore:
[tex]0=-4x^5-8x^3+12x[/tex]
Firstly, we can divide everything by -4:
[tex]0=x^5+2x^3-3x[/tex]
Factor out an x:
[tex]0=x(x^4+2x^2-3)[/tex]
This is in quadratic form. For simplicity, we can let:
[tex]u=x^2[/tex]
Then by substitution:
[tex]0=x(u^2+2u-3)[/tex]
Factor:
[tex]0=x(u+3)(u-1)[/tex]
Substitute back:
[tex]0=x(x^2+3)(x^2-1)[/tex]
By the Zero Product Property:
[tex]x=0\text{ and } x^2+3=0\text{ and } x^2-1=0[/tex]
Solving for each case:
[tex]x=0\text{ and } x=\pm\sqrt{-3}\text{ and } x=\pm\sqrt{1}[/tex]
Therefore, our real and complex zeros are:
[tex]x=\{0, -1, 1, -i\sqrt{3}, i\sqrt{3}\}[/tex]
An item has a listed price of $70 If the sales tax rate is 7% how much is the sales tax (in dollars)?
Answer:
$74.9
Step-by-step explanation:
A tax of 7 percent was added to the product to make it equal to $74.9.
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️☁️
Find the measure of one of the interior angles of a
regular polygon with 12 sides.
A 30°
B 165°
C 150°
D 2160°
75.854 expanded form
Answer:
70+5+0.8+0.05+0.004
Step-by-step explanation:
Can you please help I dont understand it.
Answer:
-3.5
Step-by-step explanation:
4y-6y-10=-3
-2y=-3+10
-2y=7
y=7/-2
y=-3.5
Lengths
Can be side lengths
of a triangle
Cannot be side
lengths of a triangle
9.5, 14.5, 4.5
3, 18,9
5, 15,8
27, 8,7
Answer:
9.5 14.5 and 4.5
Step-by-step explanation:
That’s correct