Answer:
See below.Explanation:
easy way to solve:
[tex]x^2-6x-7=0[/tex]
[tex]x^2+x-7x-7=0[/tex]
[tex]x(x+1)-7(x+1) =0[/tex]
[tex](x-7)(x+1)= 0[/tex]
[tex]x = 7, -1[/tex]
Mistake:
In step 5,
Josh should have given:
[tex](x-3)^2=16[/tex]
[tex]x-3 = \pm \sqrt{16}[/tex] [ changing sides changes square sign to [tex]\pm[/tex] square root ]
[tex]x-3 = \pm 4[/tex]
[tex]x -3 = 4[/tex], [tex]x-3 = -4[/tex]
[tex]x = 7[/tex], [tex]x = -1[/tex]
What is the missing numerator?
Answer:
The missing numerator is 2
Step-by-step explanation:
Assign "x" to the numerator sought:
[tex]\frac{x}{7} +\frac{13}{14} =1\frac{3}{14}[/tex]
[tex]\frac{14x+91}{98} =\frac{14+3}{14}[/tex]
[tex]14x+91=98(\frac{17}{14} )[/tex]
[tex]14x=\frac{1666}{14} -91[/tex]
[tex]14x=119-91[/tex]
[tex]x=\frac{28}{14}[/tex]
[tex]x=2[/tex]
Hope this helps
solve and reduce to lowest terms 4\7 x 5\8
Answer:
5/14
Step-by-step explanation:
4/7 x 5/8 = 20 /56
Then divide by 4
20/56 x 4/4 = 5 /14
Answer:
The answer is 5/14
Step-by-step explanation:
i know cuz i took the test
Ahmad has $112 in his checking account and earns $75 per week
working part-time. Assume he has no expenses currently.
Create an equation to model the above scenario.
Answer:
total = 75x + 112
Step-by-step explanation:
I did 75x because x would be how many weeks and added 112 because of the starting amount
Pls answer this for brainliest A refrigerator worth Rs.58000 is offered for sale at Rs.45000. What per cent discount is offered during the sale?
Discounts are used to reduce the price of items
The percentage discount during the sale is 22.41%
How to calculate the percentage discountThe given parameters are:
Worth = Rs 58000
Selling price = Rs 45000
Start by calculating the discount amount
Discount = Worth - Selling Price
So, we have:
Discount = Rs 58000 - Rs 45000
Discount = Rs 13000
The percentage discount is then calculated as:
[tex]\% Discount = \frac{Discount}{Worth}[/tex]
This gives
[tex]\% Discount = \frac{13000}{58000}[/tex]
Simplify
[tex]\% Discount = 22.41\%[/tex]
Hence, the percentage discount during the sale is 22.41%
Read more about discounts at:
https://brainly.com/question/25567167
Look at image please
Answer:
the answer is going to be letter b
***Need answer and help to understand
Answer:
a. given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.
Step-by-step explanation:
There are several things you need to know to be able to answer this question.
corresponding angles where a transversal crosses (parallel) lines are angles that are in the same direction from the points of intersection. Here angles 1 and 2 are both "northwest" of the points of intersection, so are corresponding angles.the "corresponding angles theorem" tells you "if the lines are parallel, then corresponding angles at a transversal are congruent."the converse of a theorem "if A, then B" is "if B, then A". Here, the converse of the "corresponding angles theorem" is "if the corresponding angles at a transversal are congruent, then the lines are parallel."__
You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.
∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.
Find the surface area of this shape
Answer:
295 cm[tex] {}^{2} [/tex]
Function of the
graph
HELP ME QUICK!!
Complete the equation that represents the relationship between n and s.
Answer: s=n+6
Step-by-step explanation:
We know that s increases by 1 every time n increases by 1.
So we have s = n + [something]
To find this [something], we can just substitute one pair of values.
Take n=1, s=7 - we'll get 7 = 1 + [something] -> [something] = 6
So we have s = n+6
Consider the line y = -8x+5.
Find the equation of the line that is parallel to this line and passes through the point (-4, 5).
Find the equation of the line that is perpendicular to this line and passes through the point (-4, 5)
Answer:
parallel: y = -8x+-27
perpendicular: y= [tex]\frac{1}{8} +5\frac{1}{2}[/tex]
Step-by-step explanation:
Which of the following expressions is equivalent to:
The phasor representation of the signal v = 24 sin (θ - 30⁰) would be the vector Question 2 options: 24∠-30 24∠0 24∠90 24∠30
The vector representation of the phasor is given by:
24∠-30
What is a phasor?A phasor is a complex number, in the following format:
[tex]p = M\sin{(\theta - s)}[/tex]
In which:
M is the magnitude.s is the phase-shift.The vector representation is given by:
M∠s.
In this problem, the signal is:
[tex]v = 24\sin{(\theta - 30^\circ)}[/tex]
Hence, the vector representation is given by:
24∠-30
More can be learned about phasors at https://brainly.com/question/26334176
Find the values of x between 0 and pi where the tangent line to the graph of y = sin(x) cos(x) is horizontal.
Answer:
π/4, or 3π/4
Step-by-step explanation:
dy/dx = cos(x)*cos(x)+sin(x)*[-sin(x)]=(cosx)^2-(sinx)^2=[1-(sinx)^2]-(sinx)^2 = 1-2(sinx)^2
Tangent line is horizontal, so dy/dx = 0
1-2(sinx)^2 = 0
(sinx)^2 = 1/2
sinx = [tex]\frac{1}{\sqrt{2}}, -\frac{1}{\sqrt{2}}[/tex]
Between 0 and pi, sinx >0
so sinx = [tex]\frac{1}{\sqrt{2}}[/tex]
x = π/4, or 3π/4
- Length of lease: 32 months
- MSRP of the car: $26,260
-Purchase value of the car after lease: $14,330
- Down payment: $1270
- Security deposit: $605
- Acquisition fee: $765
-Lease factor: 0.00073
1. What is the amount of cash due at signing?
2. What would be his monthly payments?
3. What is the total amount of money that he would spend on monthly payments
4. What is the total amount of money that he would spend on monthly payments?
5. What is the total cost of leasing the car, assuming that he does not get the security deposit back
Answer:
I'm pretty sure you would just add and subtract as needed.
Step-by-step explanation:
Sorry if i'm wrong.
A concert promoter is forecasting this year's attendance for one of his concerts based on the following historical data: What is this year's forecast using exponential smoothing with alpha = .2, if last year's smoothed forecast was 15,000?
The smoothed forecast for this year depends on last years forecast and
observation, as well as the value of alpha.
Response:
The forecast for this year is 16,000What relationship can be used to find the smoothed forecast?The given parameter are;
α = 0.2
From a similar question online, we have the following possible values;
Last year's smoothed forecast, F₄ = 15,000
Last years actual value, A₄ = 20,000
Required:
The forecast this year
Solution:
The exponential smoothing relationship is expressed as follows;
F₅ = F₄ + α·(A₄ - F₄)
Which gives;
F₅ = 15,000 + 0.2 × (20,000 - 15,000) = 16,000
This year's forecast, F₅ = 16,000
Learn more about forecasting here:
https://brainly.com/question/4941976
A shirt she is making. One button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch, the button hole in the shower is 2/6 of an inch which of the buttons will fit through the button hole and explain
Answer:
1/4
Step-by-step explanation:
Please help I don’t understand how to do this
Answer:
65 degrees
Step-by-step explanation:
All angles of a triangle have to add up to 180 degrees. After establishing that, we can see that there are two angles given. 25 degrees and a 90-degree symbol. So if two angles add up to 115 degrees, we can do 180-115=65 to find the angle of C.
Answer:
m∠C=65°
Step-by-step explanation:
m∠B=90°
m∠A=25°
m∠A+m∠B+m∠C=180°
25°+90°+m∠C=180°
m∠C=180°-(90°+25°)
m∠C=65°
Hope it helps! :)
how do i solve this question for maths gcse ocr
Answer:
3 times
Step-by-step explanation:
Area of circle =pi*r^2
Area of shaded area=pi*4*4\2 (semi circle)
Area of unshaded area=pi *6*6-pi*4*4/2=pi*24
Divide 2nd by 1st
We get 3 times
The scale on a 1:50 000 Ordnance Survey map indicates that 2 cm on the map
= 1 km on the ground.
How many centimetres would 1km be represented by on a 1:25 000 scale map?
?cm
Express the set using the roster method. {x | XEN and x> 9)
Answer:
A(8,9,10,11,12)
Step-by-step explanation:
A(8,9,10,11,12)
-
3/1
213
- 3)
-
Simplify the expression
properties of operations used.
Cite the
5
(please help if you can and thank you so much!) hurry
Answer:
7/10 or 0.7
Step-by-step explanation:
-3/2 (1/3 - 4/5)
(-3/2) (1/3 + -4/5)
(-3/2)(1/3) + (-3/2)(-4/5)
-1/2 + 6/5
7/10
I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.
I dont get this question could someone help me out i will mark brainliest include steps!
Answer:
12.5
Step-by-step explanation:
In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9
Note MK = 2 * MN, so
2x + 9 = 2 * (3x + 1)
expand:
2x + 9 = 6x + 2
Solve:
9 - 2 = 6x - 2x
4x = 7
x = 7/4
MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5
what is the equation?
Answer:
Step-by-step explanation:
convert 6.19 to fraction
Answer:
[tex]6.19=6\frac{19}{100}[/tex]
Step-by-step explanation:
[tex]6.19=6\frac{19}{100}[/tex]
Help math math ASAP please please
Answer:
B. Parallel lines have the same slope
Step-by-step explanation:
The slope is the inclination, two parallel lines have the same inclination and never intersect.
Hope this helps
make b the subject of formula
[tex]a = \frac{1}{2} bh[/tex]
Answer:
[tex]a = \frac{1}{2} bh \\ \\ b = a \div ( \frac{1}{2} h) \\ \\ b = a \times \frac{2}{h} \\ \\ b = \frac{2a}{h} [/tex]
Christina used 2 1/3 gallons of gas to drive her car 64 1/6 miles. What was the fuel efficiency of her car, in miles per gallon, for the trip?
Answer: 27 1/2 miles per gallon
Step-by-step explanation: trust me bro
please help the question is on the picture attached.
PLS HELP
Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?
Answer: 30 mph
Step-by-step explanation: As we know: the formula for Average Speed (AS) is Average Speed = Total Distance ÷ Total Time.
Since we don't know exactly how far Jen needed to drive, our distance there will be 1, and since we don't know how long it took to get there, we will put 1 as well.
Now we have to state the distance and time to get back. The distance will stay the same so we keep it 1. Now it is stated that when returning, it took Jen 3 times slower to get back, so we do 1 × 3 (because it took her longer) and get 3.
Next, we substitute: AS=TD÷TT ⇒ AS= (1+1) ÷ (1+3) = 2 ÷ 4= 1/2 or 1.4
Since our given beginning speed was 60mph, we need to multiply by 1/2 to get the final answer:
1/2 x 60 = 30
So ya, this is the answer *100% correct, checked on another website*
1.Spooky has a favourite number. It is a 2 digit number. The total of the digits is 10. It is an even number It is less than 30. What is it? .........
Answer:
10
Step-by-step explanation:
Even numbers less than 30 are:
2,4,6,8,10,12,14,16,18,20,22,24,26,28
We know it has two digits so we can cross out:
2,4,6,8
We are left with the last piece of information being that it's total is 10 - none of the remaining numbers add up / total to 10 therefore Spooky's favourite number is 10 !