Answer:
[tex]x = \frac{40}{6} [/tex]Step-by-step explanation:
To solve the equation
(2x - 1) + (4x + 9) = 32
First of all remove the parenthesis
That's
2x - 1 + 4x + 9 = 32
Simplify
We have
6x - 8 = 32
Add 8 to both sides
Thats
6x - 8 + 8 = 32 + 8
6x = 40
Divide both sides by 6
That's
[tex] \frac{6x}{6} = \frac{40}{6} [/tex]
We have the final answer as
[tex]x = \frac{40}{6} [/tex]
Hope this helps you
Answer:
2x -1 + 4x +9 =32=) 6x +8 =32=) 6x ==32-8=) 6 x = 24=) x = 24/6=) x = 4The area of a square is 8 square meters. Which of these is
closest to the length of one side of the square?
F. 2 meters
G. 2.8 meters
J. 4 meters
H. 3.5 meters
Answer:
G
Step-by-step explanation:
Area of square = 8 m²
Side * side = 8
side = √8
side = 2.82
Side = 2.8 m
Answer:
G 2.8
Step-by-step explanation:
Write a written expression for 1/4( 9 - X)
Answer: The written expression for this equation is one - fourth multiplied by nine minus a number. The variable is "a number" and you use the pronunciation of the other numbers.
Please help me I'm stuck
What is the equation of the line perpendicular to the line y = 3x + 2 and passing through the point (3, -4)?
Answer:
Step-by-step explanation:
perp. -1/3
y + 4 = -1/3(x - 3)
y + 4 = -1/3x + 1
y = -1/3x - 3
What is the sum of the complex numbers -9 - i and -5 - i?
1. -14 - 2i
2. 14 - 2i
3. 14 + 2i
4. -14 + 2i
EXAMPLE 11 Show that the points (1,-1),(5,2) and (9,5) are collinear
Answer:
see explanation
Step-by-step explanation:
They are collinear if the have the same slope
(2 - -1)/(5 - 1) = 3/4
(5 - 2)/(9 - 5) = 3/4
(5 - -1)/(9 - 1) = 6/8 = 3/4
Step-by-step explanation:
Hey, there!!!
Your question is about showing the points A(1,-1), B(5,2) and C(9,5) as a collinear point.
We generally slope to find weather the points are collinear or not.
So, let's find slope for AB.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex] slope = \frac{2 + 1}{5 - 1} [/tex]
Therefore, slope of AB = 3/4.
Now, slope of BC.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]slope \: (m) = \frac{5 - 2}{9 - 5} [/tex]
Therefore, the slope is 3/4.
now, lastly slope of AC.
[tex]slope(m) = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]slope(m) = \frac{5 + 1}{9 - 1} [/tex]
Therefore, the slope of AC is 3/4.
As all point have same slope. They are collinear point.
Hope it helps...
a food store has two stacks of rice weighing 26.3 kg each . what quantity of rice was sold during a day , of at the end of the day the total quantity of rice in the store is 35.5 kg ?
Answer:
17.1 kg
Step-by-step explanation:
One stack of rice = 26.3 kg
Two stacks of rice = 2 *26.3 = 52.6 kg
Remaining rice at end of day = Total weight of two stacks - quantity of rice sold in day
= 52.6 - 35.5
= 17.1 kg
What is the absolute value of –20?
Use the number line to answer the question.
A sequence starts, 1/2,1/4,1/8... Give a rule that the sequence could follow.
Answer:
A rule that the sequence could follow is that the number so for example 1/8 will have to be multiplied by 1/2 so your answer would be 1/16.
Step-by-step explanation:
. If a, b, c are real numbers such that ac # 0
then show that at least one of the equations
ax + bx+ c=0 and -ax + bx+ c=0 has real
roots.
Answer:
if one equation has no real roots, the other must have real roots. Hence, at least one equation has real roots.
Step-by-step explanation:
The discriminant of the first equation is ...
d1 = b^2 -4ac
The discriminant of the second equation is ...
d2 = b^2 +4ac
__
Suppose the first equation has no real roots. Then ...
d1 < 0
b^2 -4ac < 0
b^2 < 4ac
We know that b^2 is non-negative, so this means 4ac is positive. For that case,
d2 = b^2 +4ac
is the sum of a positive number and a non-negative number so will be positive. When the discriminant is positive, there are two real roots.
When the first equation has no real roots, the second one must have two real roots.
__
Suppose the second equation has no real roots. Then ...
d2 < 0
b^2 +4ac < 0
b^2 < -4ac
Again, b^2 is non-negative, so -4ac must be positive. For this case, the sum ...
d1 = b^2 -4ac
is the sum of a non-negative and a positive number, so will be positive. The positive discriminant means there are two real roots.
When the second equation has no real roots, the first one must have two real roots.
One of these equations will have real roots, or not. If not, the other must have (distinct) real roots.
What is the domain and range of the graph?
Answer:
Domain (0, ∞)
Range (-∞, ∞)
Step-by-step explanation:
The domain is the input values
The input is from 0 to infinity
Domain (0, ∞)
The range is the output values
The input is from negative infinity to infinity
Range (-∞, ∞)
It is claimed that an automobile is driven on the average more than 20,000 kilometers per year. To this claim, a random sample of 20 automobile owners is asked to keep a record of the kilometers they travel. Would you agree with the claim if the random sample showed an average of 23,500 kilometers and standard deviation of 3900 kilometers? Use alpha = 5%.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the following :
Sample mean(x) = 23500
Sample standard deviation (sd) = 3900
Sample size (n) = 20
Population mean (m) = 20,000
Null hypothesis : m = 20000
H1: m > 20000
To obtain the z-score :
(population mean - sample mean) / (sample standard deviation /√sample size)
(x - m) / (sd/√n)
(23500 - 20000) / (3900 / √20)
3500 / (3900 /4.4721359)
3500 / 872.06651
= 4.0134
Get the P value to know if to reject or accept the null:
P(z > 4.0134) = 1 - P(z < 4.0134)
P(z < 4.0134) = 1
1 - P(z < 4.0134) = 1 - 1 =0
Since P value is < alpha, we reject the null.
Hence average is > 20000
a theater has 675 seats. there are three times as many seats in a row as their are rows
Answer: 15 rows with 45 seats each
Step-by-step explanation:
Let x = the number of rows, then 3x= the number of seats in a row.
seats × row= total
3x × x=675
3x²=675
x²=225
x=15
Answer:
Step-by-step explanation:
let the number of rows=x
seats in each row=3x
so number of seats=x(3x)=3x²
3x²=675
x²=225
x=15
number of rows=15
and seats in each row=15×3=45
hey guys.... please help me with this question ,chapter lines and angles and i will mark u the brainiest if u answer it 1st (6 marks)
Answer:
Step-by-step explanation:
Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.
Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.
Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.
SOLUTION:
Given: ∠AGE=126°
∠AGE=∠GED=126∘ [alternate interior angles]
(ii) ∠GED=∠GEF+∠FED=126∘
∠GEF + 90° =126°
(GIVEN that EF⊥CD)
∠GEF=126°−90°=36°
∠GEF=36°
(iii) ∠CEG+∠GED=180°
(GIVEN ∠GED=126∘)
∠CEG+126° =180°
∠CEG=180° −126°
∠CEG=54°
∠FGE=∠CEG= 54° (alternate angles)
Un tanque de almacenamiento de agua instalado en una comunidad tiene forma de prisma rectangular y una capacidad de 8 000 litros, su base mide 2.5 m por 2 m. ¿Qué altura tiene este tanque? ¿Qué cantidad de agua contendría si sólo llegara el agua a una altura de 75 cm?
Answer:
a) la altura es de 1.6 metros
b) contendría 3750 litros
Step-by-step explanation:
1000 litros = 1m³
8000 litros = 8000/1000 = 8m³
La formula del volumen de un prisma rectangular es:
v = área de la base * altura
el área de la base es:
ab = 2.5m * 2m = 5m²
entonces:
v = 5 * altura
v = 8m³
así que:
8m³ = 5m²* altura
altura = 8m³/5m²
altura = 1.6 metros
Si la altura fuese de 75cm1 metro = 100 centímetros
75 cms = 75/100 = 0.75 metros
entonces:
volumen = 5m² * 0.75m
volumen = 3.75m³
3.75m³ = 3.75*1000 = 3750 litros
El agua que contendría sería de:
3750 litros
9x + 1 - 7x - 5 = -20
Answer:
-8
Step-by-step explanation:
First add together the x's.
2x + 1 - 5 = -20
Now add 1 and -5,
2x - 4 = -20
Add 4 to both sides,
2x - 4 + 4 = -20 + 4
2x = -16
Divide both sides by 2,
2x/2 = -16/2
x = -8
the sum of two numbers divided by 9
I'm not sure what you're asking.... but
18+18=36
36 divided by 9 is equal to 4
the answer is 4
7/3+3(2/3−1/3)*2 I need an answer to this question really quick, and by the way the two in the end is a second power
Answer:
[tex]\frac{8}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{7}{3}[/tex] + 3([tex]\frac{2}{3}[/tex] - [tex]\frac{1}{3}[/tex] )²
= [tex]\frac{7}{3}[/tex] + 3 ([tex]\frac{1}{3}[/tex] )²
= [tex]\frac{7}{3}[/tex] + 3 × [tex]\frac{1}{9}[/tex]
= [tex]\frac{7}{3}[/tex] + [tex]\frac{1}{3}[/tex]
= [tex]\frac{8}{3}[/tex]
Answer:
8/3
Step-by-step explanation:
7/3+3(2/3-1/3)^2
=7/3+3(1/3)^2
=7/3+3(1/9)
=7/3+3/9
=7/3+1/3
=8/3
Which equation does the graph below represent? A coordinate grid is shown. The x axis values are from negative 5 to positive 5 in increments of 1 for each grid line, and the y axis values are from negative 20 to positive 20 in increments of 4 for each grid line. A line is shown passing through the ordered pairs negative 4, negative 16 and 0, 0 and 4, 16. y = fraction 1 over 4 + x y = fraction 1 over 4x y = 4 + x y = 4x
Answer:
y = 4x
Step-by-step explanation:
Points on the graph:
(-4, -16), (0,0), (4, 16)Slope intercept form:
y = mx + bWorking out slope using two of the points:
m= (y2-y1)/(x2-x1)m= (0- (-16))/(0- (-4))m= 16/4m= 4The equation is now:
y = 4x + bUsing one of the points to find b:
-16 = 4*(-4) +b -16 = -16 + bb = 0So the final form is:
y = 4xCorrect answer choice is the last one
Answer:
The Answer would be y=4x
Step-by-step explanation:
I had this on a quiz once
The graph of y= |x| is reflected across the x axis and then scaled vertically by a factor of 7 what is the equation of the new graph
Answer:
Option (B)
Step-by-step explanation:
Given equation of the absolute function is,
y = |x|
When this function is reflected across the x-axis, new equation of the graph will be
y = -|x|
Now the image of the given function has been scaled vertically by a factor of 7,
Therefore, equation of the new graph will be,
y = -7|x|
Option (B) is the correct option.
When constructing the bisector of a line segment, you are also constructing the perpendicular bisector of a line segment. true or false Explain your reasoning.
Answer:
True
Step-by-step explanation:
A perpendicular bisector may be defined as the line segment that intersects some other given line perpendicularly and it also divides it into two congruent or equal parts. Now, two lines are said to be cut at right angles or perpendicular to each other if they intersect in a way that they form ninety degrees to each other.
Constructing a line bisector.
1. Take any line segment of any length.
2. Take your compass and adjust its length to more than the half of the length of the line segment.
3. Placing the compass pointer on one edge at a time cut arcs above and below the line segment.
4. Now mark the points where both opposite arcs meet and join the point to cut the given line segment in two equal parts.
Thus the bisector will divide the line into two equal line segments and it will be at right angles to the given line segment.
Thus it is true that constructing a line bisector is also constructing a perpendicular bisector of the line segment.
Solve for the two possible values of X:
( 5x – 17)(7x + 12) = 0
what is it ?
(i really need this answer asap)
Can someone please help
Answer:
5[tex]\sqrt{6}[/tex]
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
[tex]\sqrt{150}[/tex]
= [tex]\sqrt{25(6)}[/tex]
= [tex]\sqrt{25}[/tex] × [tex]\sqrt{6}[/tex]
= 5[tex]\sqrt{6}[/tex]
Grace and Bill bought a vacation home for $182,000. A serious medical crisis forced them to sell at $110,000. What was their percentage of loss?
a) 30%
b) 40%
c) 50%
d) 55%
Answer:
Loss percentage = 40% (Approx)
Step-by-step explanation:
Given:
Cost price of home = $182,000
Sales price = $110,000
Find:
Loss percentage
Computation:
Loss = Cost price - Sales price
Loss = $182,000 - $110,000
Loss = $72,000
Loss percentage = [Loss / Cost price]100
Loss percentage = [72,000 / 182,000]100
Loss percentage = 39.5604
Loss percentage = 40% (Approx)
convert y=2x-5 to slope intercept form
Answer:
y = 2x - 5
Step-by-step explanation:
y = 2x - 5 is in the form
y = mx + b
which is the slope-intercept form.
Answer: Answer below :)
Help PLZ HAVENT HAD HELP IN TWO HOUR JUST ONE QUESTION One card is to be drawn from a deck of 52 cards.The deck includes four types of cards.Red heart, red stars , black triangles , black circles .Each type has 13 cards numbered 1-13.What is the probability of drawing a red one a, black three , or a six of hearts.Give your answer in the simplify form .
Answer:
FOR red one = 1/26
FOR black three = 1/26
FOR six of hearts = 1/52
Step-by-step explanation:
TECHNICALLY EVERY CARD WOULD BE 1/52 BUT SINCE THERE R TWO DIFFERENT TYPES OF BLACKS AND REDS THE FIRST TWO ARE 1/26
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
Six friends each use a $2-off coupon to buy themselves a movie ticket. They spend a total of $42. What is the price of one movie ticket without the coupon?
Answer:
$9
Step-by-step explanation:
1.) First, divide 42 by 6 since there are six people and the total is $42.
42/6 = 7
2.) Now, add $2 to 7 since 7 was the price of the movie ticket AFTER the $2 were taken off of it
x = 7+2x=9
4.) So, one movie ticket (x) = $9
Margo uses dots to track her activities on a calendar. Red dots represent homework, yellow dots represent work, and green dots represent practice. In a typical week she uses 5 red dots, 3 yellow dots, and 4 green dots. How many activities does Margo do in 4 weeks?
Answer: Margo does 48 activities in 4 weeks.
Step-by-step explanation:
In the calendar,
Red dots represent homework, yellow dots represent work, and green dots represent practice.
On a typical week , she uses 5 red dots, 3 yellow dots, and 4 green dots.
That means , total activity he does in a week = 5+3+4=12
Then, total activities in 4 weeks = 4 x 12 = 48
Hence, Margo does 48 activities in 4 weeks.
f(x)=1-3x and g(x)=x+4 calculate f(-2)
Answer:
7Step-by-step explanation:
[tex]f(x)=1-3x\\f(-2) = 1-3(-2)\\= 1+6\\=7[/tex]
Use the figure to write the segment addition postulate, write and equation and solve for x.
Pls explain
Answer:
[tex] x = 3 [/tex]
Step-by-step explanation:
From the figure given, we have points A,B, and C, that are collinear. Therefore, according to the segment addition postulate, [tex] AB + BC = AC [/tex].
We are given that:
AB = 9x + 7
BC = -5x + 20
AC = 39
An equation that can be used to solve for x would be:
[tex] (9x + 7) + (-5x + 20) = 39 [/tex]
Solve for x
[tex] 9x + 7 - 5x + 20 = 39 [/tex]
[tex] 9x - 5x + 7 + 20 = 39 [/tex]
[tex] 4x + 27 = 39 [/tex]
Subtract 27 from both sides
[tex] 4x + 27 -27 = 39 - 27 [/tex]
[tex] 4x = 12 [/tex]
Divide both sides by 4
[tex] \frac{4x}{4} = \frac{12}{4} [/tex]
[tex] x = 3 [/tex]