Answer:
The value of x is 9.
Step-by-step explanation:
55°
(3 x + 23)
75°
The sum of all the angles of triangle is 180°.
55 + 3 x + 23 + 75 = 180
3 x = 27
x = 9
So, the value of x is 9.
Use the discriminant to determine how many and what
kind of solutions the quadratic equation x2 - x = 1/4
has.
Answer:
Step-by-step explanation:
x²-x-1/4=0
or 4x²-4x-1=0
disc.=(-4)²-4(4)(-1)=16+16=32>0 ,not a perfect square.
Roots are real,different and irrational.
It has 2 roots or 2 solutions.
Answer:
Step-by-step explanation:
x² - x = 1/4
[tex]x^{2}-x -\frac{1}{4}=0\\\\a = 1 \\\\b = -1\\\\c = \frac{-1}{4}\\\\D = b^{2}-4ac\\\\ = (-1)^{2}-4*1*\frac{-1}{4}\\\\= 1 + 1\\= 2[/tex]
D = 2 > 0
So, this equation has real roots
-6x + 7y = 9
2x - 2y = 4
Solve for x and y
Answer:
x = 23 , y = 21
Step-by-step explanation:
-6x + 7y = 9 -- (1)
2x - 2y = 4 -- (2)
(2) x 3 : 6x - 6y = 12 -- (2)'
(1) + (2)' : y = 21 -- (3)
Subtituting (3) into (2),
2x - 42 = 4
2x = 46
x = 23 -- (4)
According (3) and (4),
x = 23 , y = 21
If this helps you, please give brainliest!
What is the value of x in the equation 3x-4y=65, when y equals 4?
Answer:
x = 27
Step-by-step explanation:
3x - 4y = 65
3x = 65 + 4y
Find x, when y = 4
3x = 65 + 4 (4)
3x = 65 + 16
3x = 81
x = 27 [tex][ \ x = \frac{81}{3}\ ][/tex]
4. What is the unit rate for a pound of seed? Circle the correct answer choice.
Pounds of Seed
10
20
Total Cost
$17.50
$35.00
$52.50
$70.00
30
40
$3.50
$1.75
$17.50
$7.25
===================================================
Explanation:
To get the unit cost, we divide the total cost over the number of pounds.
We can do this for any row
row one: ($17.50)/(10) = $1.75row two: ($35.00)/(20) = $1.75row three: ($52.50)/(30) = $1.75row four: ($70.00)/(40) = $1.75You don't need to show all four row calculations. You can simply pick one row.
This tells us that each pound costs $1.75
Put another way: the price is $1.75 per pound
2. Which equation represents a line that is perpendicular to the line
represented by y = 2/3 + 1
Solve the equations and graph the solution
Given:
The inequalities are:
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
To find:
The solution for the given inequalities and graph the solution.
Solution:
We have,
[tex]-5x<-3[/tex] or [tex]2x<-8[/tex]
Solve the above inequalities separately.
[tex]-5x<-3[/tex]
Divide both sides by -5.
[tex]x>\dfrac{-3}{-5}[/tex]
[tex]x>\dfrac{3}{5}[/tex] ...(i)
And,
[tex]2x<-8[/tex]
Divide both sides by 2.
[tex]x<\dfrac{-8}{2}[/tex]
[tex]x<-4[/tex] ...(ii)
From (i) and (ii). we get
[tex]x<-4[/tex] or [tex]x>\dfrac{3}{5}[/tex]
The interval notation of the solution is [tex](-\infty,-4)\cup \left(\dfrac{3}{5},\infty\right)[/tex].
The graph of the solution is shown below.
Please help me please ASAP
Answer:
x = 17
Step-by-step explanation:
(5x-23) + (7x-1) = 180
12x - 24 = 180
12x = 204
x = 17
Answer:
x = 17
Step-by-step explanation:
The 2 given angles are same- side interior angles and sum to 180° , then
7x - 1 + 5x - 23 = 180
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
measures of variability,i have learned that
Answer:
Measures of Variability: Range, Interquartile Range, Variance, and Standard Deviation. ... While a measure of central tendency describes the typical value, measures of variability define how far away the data points tend to fall from the center. We talk about variability in the context of a distribution of values.
A water tank has a dimension 3 m long, 1.8 m wide and 2.2 m
high. It has a capacity of:
Answer:
The answer is 11.8 m
Step-by-step explanation:
Hey Mate,
the volume of a cuboid is = whl....so the volume of it is the capacity of the tank
so 3 x 1.8 x 2.2 = 11.88 m is the answer
mobimax Which of the following statements are true of rational numbers?
Check all that are true.
Decimals that can be written as fractions are rational numbers.
Repeating decimals are rational numbers because they can be written as fractions.
One divided by zero is an example of a rational number.
A rational number can be written as one integer divided by another integer.
Rational numbers can be written as fractions.
Answer:
Options : 1 , 2 , 4 , 5
Step-by-step explanation:
Rational numbers are numbers of the form
[tex]\frac{p}{q}[/tex],
where p and q are integers and q≠0
A decimal number is a rational number , if its :
A) Terminating.
Example : 0.5
B) Non Terminating and Recurring(repeating).
Example : 0.111111111.....
Option 1 : True
Option 2 : True
Option 3 : False [ denominator cannot be zero ]
Option 4 : True
Option 5 : True
In a group of students, every student needs to make a bookmark for each of their groupmates. If the total bookmarks made is 42, how many students are there in this group?
7
Hope this helps! :)
______________
Answer:
very easy there are 42 students because every student needs a bookmark for each of their groupmates
please help me, tysm
5 3 Divide: 3 4
[tex] \frac{5}{?8 \div \frac{3}{?4} } [/tex]
Answer:
Step-by-step explanation:
x
What 2 numbers add to get -9 and multiply to get -30?
Answer:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
Step-by-step explanation:
Let be x the first number and y the second number.
So we have:
[tex]x+y=-9[/tex] (1)
[tex]x*y=-30[/tex] (2)
Solve x from equation 1 and put it into equation 2
[tex]x=-9-y[/tex]
[tex](-9-y)*y=-30[/tex]
[tex]-9y-y^{2}=-30[/tex]
[tex]y^{2}+9y-30=0[/tex]
Solving this quadratic equation and put it on the equation (1) the solutions will be:
[tex]y_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]y_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
[tex]x_{1}=-\frac{9}{2}-\frac{\sqrt{201}}{2}[/tex] or [tex]x_{2}=-\frac{9}{2}+\frac{\sqrt{201}}{2}[/tex]
I hope it helps you!
solve the equation 3x²–2x=5
Answer:
x= -1 or x= 5/3
Step-by-step explanation:
3x²–2x=5
3x²-2x-5=0
(3x+_)(x-_)
(3x-5)(x+1)
(I just use a guess and check method to see what will fill the blanks and let the expression expand to become 3x²–2x=5)
3x-5=0
3x=5
x= 5/3
x+1
x=-1
x= -1 or x= 5/3
Hope this helps!
( 3x + 1 ) ( x - 4 ) - ( x + 2 ) ( x - 3 ) = ( 2x + 5 ) x
Giúp tớ tính với
[tex]\sf \bf {\boxed {\mathbb {x\:=\:0.1333}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](3x + 1)(x - 4) - (x + 2)(x - 3) = (2x + 5)x\\[/tex]
[tex] ➺\: 3x \: (x - 4) + 1 \: (x - 4) - x \: (x - 3) - 2 \: (x - 3) = (2x + 5) \: x\\[/tex]
[tex] ➺\: 3 {x}^{2} - 12x + x - 4 - {x}^{2} + 3x - 2x + 6 = 2 {x}^{2} + 5x\\[/tex]
[tex] ➺\: 2{x}^{2} - 2 {x}^{2} - 10x - 5x + 2= 0\\[/tex]
[tex] ➺\: - 15x = - 2\\[/tex]
[tex]➺ \: x = \frac{ - 2}{ - 15} \\[/tex]
[tex]➺ \: x = \frac{2}{15}\\ [/tex]
[tex] ➺\: x = 0.1333[/tex]
[tex]\huge\bf\purple{*Mystique 35♡༉}[/tex]
What is the sum of 15 – 6i and –2 + 9i?
Answer:
13 + 3i
Step-by-step explanation:
I just used a app for this problem.
Answer:
[tex]13 + 3i[/tex] is the sum of the numbers
Step-by-step explanation:
[tex]13 + 3i[/tex]
[tex]15 - 6i - 2 + 9i[/tex] → Sum
collect like terms
[tex](15 - 2) + ( - 6i + 9i) =13 + 3i[/tex]
What is the value of the expression below?
2[3(4+1)]-2
Answer:
28
Step-by-step explanation:
2[3*5]-2
2*15-2
30-2
28
Could someone help, please?
Answer:
Option B
Step-by-step explanation:
By using geometric mean theorem in the given right angle triangle RST,
[tex]\frac{RT}{ST}=\frac{ST}{VT}[/tex]
[tex]\frac{RV+TV}{ST}=\frac{ST}{TV}[/tex]
[tex]\frac{4.1+10.2}{ST}=\frac{ST}{10.2}[/tex]
ST² = 10.2 × 14.3
ST = [tex]\sqrt{145.86}[/tex]
ST = 12.077
ST ≈ 12.1
Therefore, Option B will be the correct option.
Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45
Answer:
a) Número siguiente = Número anterior * 2
b) Número siguiente = Número anterior + 2
c) Número siguiente = Número anterior + (n + 1)
Step-by-step explanation:
a) Para la secuencia 2,4,8,16,32,64, ....
El siguiente número es dos veces el número anterior.
Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.
b) Para la secuencia 1,3,5,7,9, ....
El siguiente número es igual al número anterior + 2
Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.
c) Para la secuencia1,3, 6,10,15,21,28,36,45
La diferencia entre los números aumenta en +1.
3-1 = 2
6-3 = 3
10-6 = 4
15-10 = 5
21-15 = 6
28-21 = 7
a freight elevator has a weight limit of 2 tons. Each crate that is loaded weighs 80 pounds. What is the greatest number of crates that can be loaded on to the elevator?
25
500
250
50
Please help meh TvT
Answer:
50 crates
Step-by-step explanation:
First we need to convert 2 tons into pounds; 2 short tons = 4000 pounds, so the greatest number of crates that can be loaded onto the elevator is 4000 Hope this helps >:D
please help this is urgent
Write each function in vertex form.
State the coordinate of the turning point (vertex).
f(x) = x2 + 18x + 93
y = 3x2 - 66x + 368
g(x) = x2 - 12x + 45
log base 16 of 256 -log base 16 of 16
Answer:
What’s the question
Step-by-step explanation:
what points are the vertices of this polygon
Answer:
the answers are (2;1)(-3;-2)(-3;4)
Step-by-step explanation:
Answer:
A vertex is a corner point of a polygon, polyhedron, or other higher-dimensional polytope, formed by the intersection of edges, faces or facets of the object.
Step-by-step explanation: i just learned this
At the grocery store last week, small boxes of facial tissue were on sale at 4 boxes for $5. This week they mark a new price at 5 boxes for $4. What is the percent decrease in the price per box this week?
Answer: 36%
Step-by-step explanation:
Since the price last week, was 4 boxes for $5. Therefore, the price per box will be:
= $5/4
= $1.25 per box
This week they mark a new price at 5 boxes for $4. The price per box will be:
= $4/5
= $0.8 per box
The percent decrease in the price per box this week will be:
= (1.25 - 0.80)/1.25 × 100
= 0.45/1.25 × 100
= 36%
The Percentage decrease is 36%
The volume of a piece of wood is 620cm3.
Its density is 0.85g/cm3.
Work out its mass
Answer:
527 grams
Step-by-step explanation:
Use the density formula, d = m/v
Plug in the density and volume, then solve for m (mass):
d = m/v
0.85 = m/620
527 = m
So, the mass is 527 grams
An economist tracks the relationship between the change in the value of the U.S. dollar (a measure known as the dollar index) and the price of corn per bushel. The relationship is modeled by a quadratic function whose values are also shown in the table. For what change in the dollar index is the minimum corn price
What is the lowest value of the range of the function
shown on the graph?
4+
oc
3
O-2
2
OO
O 3
3 45 x
-5 4 -3 -2 -11
12+
-3+
M
-5
Answer:
it's -2 because the lowest the the line is is at the -2 mark under 0
The lowest value of the range of the function is -2, as shown on the graph. The correct answer is an option (B).
What are the Maxima and Minima of a Function?The curve of a function has peaks and troughs called maxima and minima. A function may have any number of maxima and minima. Calculus allows us to determine any function's maximum and lowest values without ever consulting the function's graph.
The point is (3, -2), where the function reaches its minimum value.
The y-coordinate of this point represents the lowest value of the range of the function.
Here, the y-coordinate is -2.
Thus, the lowest value of the range of the function is -2.
Learn more about the lowest value of the range here:
https://brainly.com/question/9384609
#SPJ7
How do you find an equivalent rate with the bottom number (denominator) equal to 1?
PLEASE HELP DUE IN 4 MINUTES!!!!!!!!!!!!
A)Divide the denominator by the numerator
B)Divide both the numerator and denominator by 10.
C)Divide the numerator by the denominator.
Answer:
C) divide the numerator by the denominator
Step-by-step explanation:
Example
6/3=2/1
In the diagram below, DE is parallel to XY. What is the value of y?
8
100
ya
O A. 120
B. 100
o
C. 80
o
D. 60
PREVIOUS
Answer:
100 is answer for math picture
Answer: 80
Step-by-step explanation:
180-100 = 80, y=80
