Answer:
[tex]\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
Step-by-step explanation:
[tex]\dfrac{x-6}{2}=\dfrac{2-x}{x}\\\\\text{Domain:}\ x\neq0\\\\\dfrac{x-6}{2}=\dfrac{2-x}{x}\qquad|\text{cross multiply}\\\\(x-6)(x)=2(2-x)\qquad|\text{use the distributive property}\\\\(x)(x)+(-6)(x)=(2)(2)+(2)(-x)\\\\x^2-6x=4-2x\qquad|\text{add}\ 2x\ \text{to both sides}\\\\x^2-6x+2x=4-2x+2x\\\\x^2-4x=4\qquad|\text{add}\ 2^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot2+2^2=4+2^2\qquad|\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-2)^2=4+4\\\\(x-2)^2=8\iff x-2=\pm\sqrt8\\\\x-2=\pm\sqrt{4\cdot2}[/tex]
[tex]x-2=\pm\sqrt4\cdot\sqrt2\\\\x-2=\pm2\sqrt2\qquad|\text{add 2 to both sides}\\\\x-2+2=-2\sqrt2+2\ \vee\ x-2+2=2\sqrt2+2\\\\\huge\boxed{x=2-2\sqrt2\ \vee\ x=2+2\sqrt2}[/tex]
is the point (20,13) on this line?
Answer:
yes
Step-by-step explanation:
the graph needs to be shown for us to answer it.
Step-by-step explanation:
The price of an item has been reduced by 15% the original price was $73
Answer:
$62.05 is the new price
the reduced price is $10.95
Step-by-step explanation:
73*.85=62.05
what is the answer?
Answer: 60
Step-by-step explanation:
It’s an equilateral triangle based on the congruent sides.
Find the area of a square with side length x when x is equal to the given value. Are the area of a square and the length of its side directly proportional? Justify your answer. b x=10 in. PLS HELP WILL MARK AS BRIANLIEST PLSS
Given:
Side length of square is x = 10 in.
To find:
Area of a square with side length x when x = 10 in.
Check whether the area of a square and the length of its side directly proportional.
Solution:
Area of square is
[tex]Area=(side)^2[/tex]
[tex]Area=x^2[/tex]
For x=10, we have
[tex]Area=(10)^2[/tex]
[tex]Area=100[/tex]
Therefore, the area of square is 100 sq. in. when x=10 in.
For x=1,
[tex]A_1=1^2=1[/tex]
[tex]\dfrac{A_1}{x_1}=\dfrac{1}{1}=1[/tex]
For x=2,
[tex]A_2=1^2=4[/tex]
[tex]\dfrac{A_2}{x_2}=\dfrac{4}{2}=2[/tex]
Here, [tex]\dfrac{A_1}{x_1}\neq \dfrac{A_2}{x_2}[/tex].
Since, [tex]Area=(side)^2[/tex] and ratio of area and sides are not always same, therefore the area of depends on the side but not directly proportional to its side.
a) Write 7.1 x 10² as an ordinary number.
Answer:
710 is the answer.
Step-by-step explanation:
7.1 x 10^2
10^2= 10 x 10 = 100
so,
7.1 x 100 = 710
Which graph shows y = 2x – 12?
Answer:
(0,6) (0,-12)
Step-by-step explanation:
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12.
The equation y = 2x - 12 represents a linear function with a slope of 2 and a y-intercept of -12. This means that the graph will have a positive slope, indicating a upward trend, and it will intersect the y-axis at the point (0, -12).
To sketch the graph, you can start by plotting the y-intercept at (0, -12). From there, use the slope of 2 to determine additional points by moving 1 unit horizontally (to the right) and 2 units vertically (upward) to plot another point. Repeat this process to plot more points, then connect them to form a straight line.
Keep in mind that a visual representation is essential for accurately identifying the specific graph of y = 2x - 12.
Learn more about graph here
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Sasha sells T-shirts. Each day she earns a set amount, plus a commission.
Assume Sasha sells 24 T-Shirts in one day. How much would she earn that day?
Answer:
137$
Step-by-step explanation:
Let the slope of the equation be
[tex]m=\dfrac{\Delta y}{\Delta x}[/tex]
where y = Total pay
x = T-shirts sold
Take any two values of x and corresponding y value
[tex]m=\dfrac{71-68}{2-1}\\\Rightarrow m=3[/tex]
The equation will be
[tex]y=mx+b[/tex]
Finding b
[tex]68=3\times 1+b\\\Rightarrow b=68-3\\\Rightarrow b=65[/tex]
The equation is
[tex]y=3x+65[/tex]
Now sasha sells 24 shirts [tex]x=24[/tex]
[tex]y=3\times 24+65\\\Rightarrow y=137[/tex]
Sasha would earn 137$ on that day.
If f(x) = 3x - 1 and 2f(b) = 28, what is the value of f(2b)?
=================================
Work Shown:
Solve the second equation for f(b)
2f(b) = 28
f(b) = 28/2
f(b) = 14
----------
Plug in x = b and solve for b
f(x) = 3x-1
f(b) = 3b-1 ... replace every x with b
14 = 3b-1 ..... plug in f(b) = 14
3b-1 = 14
3b = 14+1
3b = 15
b = 15/3
b = 5
-----------
f(x) = 3x-1
f(2b) = 3(2b)-1 .... replace every x with 2b
f(2b) = 3(2*5)-1 .... plug in b = 5
f(2b) = 3*10-1
f(2b) = 30-1
f(2b) = 29
Expand
(2x + 2)(x + 4
Answer:
2x^2+10x+8
Step-by-step explanation:
(2x+2)(x+4)
=(2x+2)(x+4)
=(2x)(x)+(2x)(4)+(2)(x)+(2)(4)
=2x^2+8x+2x+8
=2x^2+10x+8
Answer:
Work shown below!
Step-by-step explanation:
[tex](2x+2)(x+4)=2x^{2} +8x+2x+8=2x^{2} +10x+8[/tex]
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
P>.9 and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Complete Question
The alternative hypothesis is [tex]H_a : p > 0.9[/tex] and it is found the statistic is 1.04 Test the claim with 5% significance level. is the test left right or two tailed and what is the p value
Answer:
This a right tailed test
The p-value is p-value = 0.14917
Step-by-step explanation:
From the question we are told that
The alternative hypothesis is [tex]H_a : p > 0.9[/tex]
The test statistics is [tex]z = 1.04[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally this a right tailed test because from the alternative hypothesis p > 0.9 i.e due to the greater than sign signifying that test will be focusing on the right tail of the normal curve
From the z table the area under the normal curve to the right corresponding to 1.04 is
P( Z> 1.04 ) = 0.14917
Generally the p-value is mathematically represented as
p-value = P( Z> 1.04 ) = 0.14917
Choose the correct answer to 992/16.
Answer:
62
Step-by-step explanation:
How many times can 16 go into 992.
16*10 = 160
16*50 = 800
Now you have 960
16*2 = 32
Now you have 996
Hope this helps ya!!
What is the binary number for 24
Answer:
Here im to lazy to solve so a pic
Step-by-step explanation:
Answer
11000
Explanation
I looked it up
if 6 litres of petrol cover's 60km , how many litres of petrol will a car need to cover 50km
Answer:
5 litres
Step-by-step explanation:
60 ÷ 10 = 6
50 ÷ 10 = 5
So 5 litres of petro
I hope this helped, please mark Brainliest, thank you!
Miguel bikes 23 km per hour and starts at mile 10. Gabby bies 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
y = 23x + 10
y = 28x + 0
Step-by-step explanation:
Given that:
Miguel :
Velocity = 23 km/hr
Starting position = 10 miles
Gabby:
Velocity = 28 km/hr
Starting position = 0 miles
The general form of a linear equation :
y = mx + c
In the scenario above ; the starting points corresponds to the intercept, c
The distance moved per hour (velocity) is the slope (m), which is the change in y per unit change in x
Hence ;
Miguel:
y = 23x + 10
Gabby:
y = 28x + 0
abel has $10. he buys a hotdogs for $2,and then he buys 5 bags of chips. if he has no money left, what was the cost of each bag
Answer:
$1.6
Step-by-step explanation:
do 10-2 then you do 8 dived by 5
Answer:
The cost of each bag is $1.6 according to my calculations.
Step-by-step explanation:
What is the volume of a box that measures 12cm by 7cm by 19cm
Answer:
1,596 cm cubed
Step-by-step explanation:
Volume of box = 12*7*19= 1,596 cm cubed
Answer:
1596
Step-by-step explanation:
To find the volume of a box, you multiply the length, width, and height of the box.
So, 12 times 7 is 84 times 19 is 1596.
1+8k=-6+8k how many solutions? marking brainlyest
Answer:
there is no solutions
Step-by-step explanation:
Answer:
The equation has no solution
Step-by-step explanation:
1 does not equal -6
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answer:
-12
Step-by-step explanation:
Each dash is +-4
if (3x_25)⁰ and( x+15⁰) are complemantary angles find the angles. pls answer fast my friend I will mark brainly
Answer:
50 degrees, 40 degrees
Step-by-step explanation:
3x-25+x+15=90 Complementary angles add up to 90 degrees
4x-10=90
4x=100
x=25
75-25=50 and 25 plus 15=40 50+40=90
x=25°
Further explanationThere are two angles that can form:
• Supplementary Angles: if both angles are added = 180 °
• Complementary Angles: if both angles are added = 90 °
(3x-25)+((x+15)=90
4x-10=90
4x=100
x=25°
calculate the perimeter of a square with vertices on a circle of diameter 4 cm
Answer:
I dont like sqaures.
Step-by-step explanation: Their pointy.
Help me ASAP for this question.
Answer:
C 72
Step-by-step explanation:
complementary meaning they add up to 90 degrees, so 90-18=72
Answer:
72 Degrees
Step-by-step explanation:
Complementary are angles that add up to 90 degrees. So 90 - 18.
For any linear function f(x) = mx + b, when does 5f(x) = f(5x)?
a) always
b) when b = 0
c) when b = 5/4
d) when b = 5
Answer:
B
Step-by-step explanation:
what is the experimental probability that a coin toss will result in two heads showing
what is the experimental probability that a coin toss will result in two tail showing
what is the experimental probability that a coin toss will result in one head and one tail showing
Answer:
50% if its one head and one tail. If it's two heads then it may be 25%
Step-by-step explanation:
Write a recursive rule for the sequence 10, 18, 26, 34….
Answer:
42
Step-by-step explanation: It keeps going up by 8
How many pounds of turkey?
Answer:
11.25pounds
Step-by-step explanation:
Each person is eating two, 3/8
so 2x3/8=0.75 or 3/4
then do 3/4 x 15 = 11.25 pounds and for the price you do 11.25 x 1.05$ which is 11.81$ worth of turkey
what is 5(3x+8) answer?
Answer:
15x + 40
Step-by-step explanation:
5(3x + 8)
Use the distributive property and multiply 5 by 3x and 8
5(3x + 8)
15x + 40
Probably really easy and I’m just overthinking it but please help me
42 divied by 3kg the after you get that answer then multiply that by 4kg
Step-by-step explanation:
3 kg of rump steak = £ 42
So, 1 kg of rump steak = £ 42/3 = £ 14
So, 4 kg of rump steak = £ 14 × 4 = £ 56
In Tallahassee, Florida, CR 373 intersects non-parallel streets CR 363 and Monroe Street. Which locations/structures represent consecutive (same side) interior angles? Select all that apply.
Fast Food 2 and the Park
the Lake and the Post Office
the Apartments and Fast Food 1
Fast Food 2 and the Grocery Store
the Apartments and the Post Office
the Big Box Store and the Grocery Store
Answer:
Option (3)
Step-by-step explanation:
Option (1)
Fast food 2 and the Park → Consecutive exterior angles
Option (2)
The lake and the Post office→ Consecutive exterior angles
Option (3)
The Apartments and Fast food 1 → Consecutive interior angles
Option (4)
Fast food 2 and the Grocery store → Linear pair of angles
Option (5)
The Apartments and the Post office → Linear pair of angles
Option (6)
The Big Box Store and the Grocery Store → Consecutive interior angles
Therefore, Option (3) and Option (6) will be the correct options.
I need help asap thxss
Answer:
Step-by-step explanation: