Answer:
x = 1 and x = 7
Step-by-step explanation:
The given equation is [tex]x^2 - 8x + 7 = 0[/tex].
We need to solve the equation.
It is a quadratic equation whose solution is given by :
[tex]x=\dfrac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
Here, a = 1, b = -8 and c = 7
Put values,
[tex]x=\dfrac{-(-8)\pm \sqrt{(-8)^2-4(1)(7)} }{2(1)}\\\\=\dfrac{8\pm \sqrt{64-28}}{2}\\\\=\dfrac{8\pm 6}{2}\\\\=\dfrac{8+6}{2},\dfrac{8-6}{2}\\\\=7,1[/tex]
So, the values of x are x = 1 and x = 7.
NEED HELP WITH THIS QUESTION
"All congruent triangles are similar, but all similar triangles are not congruent". Justify please!
Answer:
True similar triangles don't have to be the same size
Step-by-step explanation:
Answer:
Congruent means that the triangles are exactly the same in size and shape whereas similar means that the triangles have the same shape, but not the same size. Hope this helps!
Brennan ate 2 1/4 apples.Then he ate another 1 2/4 apples the next day.How many apples did Brennan eat altogether?Write in simplest.
Answer:
UwU your welcome!
Step-by-step explanation:
Convert the mixed fractions to a decimal. 2 1/4 is 2.25 1 2/4 is 1.5 2. Add them up. 3. 3.75 as a decimal or 3 3/4 as a mixed fraction or 15/4 as a improper fraction.
HELP ME PLS!!!
I need help :(
Answer:
Step-by-step explanation:
Remark
I nearly found the length of a chord PQ. Be careful you don't make the same mistake. It is an arc which is part of the circumference.
Equation
Length of arc PQ = angle/360 * 2* pi * r
Givens
Angle = 110
r = 4 in
Solution
Length of arc PQ = 110/360 * 2 * 3.14 * 4
Length of arc PQ = 0.305555 * 6.28 * 4
Length of arc PQ = 7.67555
Length of arc PQ = 7.68
A man bought 5 laptops and a desktop for taka 229600. If a laptop costs taka 32750 find the cost of the desktop
Answer:
65850
Step-by-step explanation:
Answer:
65,850
Step-by-step explanation:
5 laptops costs 163,750(5x32750). Total costs of 229,600-laptops 163,750=costs of desktop 65850.
You rent a boat for $1.00 per hour plus a $15.00 insurance fee. Your friend rents another boat for $4.00 per hour and no fee. For how many hours will you end up paying the same?
Answer:
5 hours
Step-by-step explanation:
x = per hour
y = total cost
You:
y = x + 15
Your friend:
y = 4x
To find the same:
y = x + 15
y = 4x (Multiply by -1)
y = x + 15
-y = -4x
0 = -3x + 15
-3x = -15
x = 5
What is 5/4 minus 1/3?
Answer:
11/12
Step-by-step explanation:
5/4 ---- 15/12
1/3------ 4/12
11/12
Answer:
11/12
Step-by-step explanation:
Hello! The answer to this question is 11/12. In this case, we want to make the denominator the same. To make the denominator the same we need to find the lowest common multiple. In this case the lowest common multiple is 12, (because 12 is the smallest number that 3 and 4 are both factors for.) 4x3=12 so now the denominator in 5/4 is 12 but whatever we do the bottom we do to the top. So since we multiplied the bottom (denominator) by 3 we have to multiply the top (numerator) by 3 as well. 5x3=15. Therefore, we now changed 5/4 to 15/12. Now, we have to do the same to the 1/3. 3x4= 12. 1x4=4. Now we have the two numbers, 15/12 and 4/12. 15/12-4/12=11/12! Therefore, your answer is 11/12. Hope this explanation helps! Happy learning!
Which of the following is the product of the rational expression shown below 2/x+2•5/3x
Answer:
[tex]\frac{16}{3}[/tex]x
Step-by-step explanation:
2/x = 6/3x
6/3x + 10/3x = 16/3x
Answer:
10/(3x^2+3x)
Step-by-step explanation:
Does each equation have no solution, one solution, or infinitely many solutions? Place a check in the correct column.
One Solution
No Solution
Infinitely Many Solutions
3(4x - 2) = 12x - 6
3(4x - 2) = -12x - 6
-3(4x - 2) = -12x - 2
Amare is building a rectangular fence. Originally, he plans to build an 18 ft by 14 ft fence but later decides to increase each dimension by x feet.
Which equation represents the new perimeter of the fence?
P = (18 + x ) + (14 + x )
P = (18 + 2x ) + (14 + 2x )
P = 2(18 + x ) + 2(14 + x )
P = 2(18 + 2x ) + 2(14 + 2x )
Answer:
P = 2(18 + x ) + 2(14 + x )Step-by-step explanation:
Given,
Dimensions of the fence = 18 ft and 14 ft
Then x ft is increased in both dimensions ,
New dimensions of the fence = (18 + x)ft and (14 + x)ft
Therefore,
Perimeter of the fence = 2 ( l + b)
= 2 l + 2 b
= 2(18 + x) + 2(14 + x) (Ans)
Hence,
Option C is correct.
Find sin 0
16
20
A.
В.
C.
D.
13
Answer:
dont know im sorry
Step-by-step explanation:
Rectangle JKLM is shown. To the nearest tenth of a centimeter, what is the distance from J to M?
Answer:
10.2
Step-by-step explanation:
Answer:10.2
Step-by-step explanation:
Identify the quadrant each ordered pair is located in.
(-5,8)
(5,8)
(-5,-8)
(5,-8)
Find the exact value of x
Answer:
Step-by-step explanation:
"x" is geometric mean
x² = 4 × 16
x² = 64
x = 8
The dot plot below shows how many campsites have each number of campers.
What is the mean absolute deviation of the data set shown?
Plezz help :(
Answer:
1
Step-by-step explanation:
The answer is 1.
Answer: The answer is 1 100%
Step-by-step explanation: i took the test
Its me I told u to look for my username to help me with this questions
Answer:
96
Once again, apologies for the chicken scratch
Answer:
$96
Step-by-step explanation:
→ Work out the discount multiplier
( 100 - 20 ) ÷ 100 = 0.8
→ Multiply answer by price
0.8 × 120 = $96
Privacy issues: In a Fall 2014 Pew Research survey, 25% of American adults say they are "not at all confident" that the records of their activity maintained by credit card companies will remain private and secure. With numerous data breaches since then, a consumer group is interested in determining whether the proportion has increased this year. They select a random sample of 300 adults and find that 30% state they are not at all confident. After conducting the hypothesis test for p = 0.25 compared to p > 0.25 . we obtain a -value of 0.023. Which of the following interpretations of the -value is correct? There is a % chance that 25% of American adults say they are not at all conħdent that the records of their activity maintained by credit companies will remain private and secure. There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure it 25% of Americans are not at all confident this year. There is a % chance that 30% or more of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if assume 25% of American adults are not at all confident in 2014. There is a 2.3% chance that 30% of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secur
There is a 2.3% chance that 30% or more of a sample of 300 American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure if 25% of Americans are not at all confident this year. Answer:
Step-by-step explanation:
The null hypothesis is “the percentage of American adults say they are not at all confident that the records of their activity maintained by credit card companies will remain private and secure is 25%. If this is true, there is a 2.3% chance that a sample of 300 American adults will have 30% or more who say they are not at all confident.
Help with this one? Thanks
Answer:
I think the answer of this question is b
g(x)=2x-x when x=-5
What is the answer to this please solve
9514 1404 393
Answer:
-5
Step-by-step explanation:
The given linear equation simplifies to ...
g(x) = 2x -x
g(x) = x
For x = -5, this is ...
g(-5) = -5
Which equation has a slope of –2 and passes through the point (5, 0)?
A. y = 2x + 5
B. y = 2x + 10
C. y = –2x + 5
D. y = –2x + 10
Answer:
D. y = –2x + 10
Step-by-step explanation:
1) First, write the equation of the line in point-slope form with the given information. Use the point-slope formula [tex]y-y_1 = m (x-x_1)[/tex] and substitute values for [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex].
Since [tex]m[/tex] represents the slope, substitute -2 in its place. Since [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects, substitute the x and y values of (5,0) into the formula as well. This gives the following equation:
[tex]y - 0 = -2(x-5)\\y = -2(x-5)[/tex]
2) Expand the right side of the equation to find the answer:
[tex]y = -2(x-5)\\y = -2x+10[/tex]
So, option D is correct.
Can someone please give me the answer I will mark u brilliant
Answer: The first solid's volume is 15/16 or 0.9375. The second solid's volume is 7/4, 1 3/4, or 1.75.
Step-by-step explanation:
First Solid
V= l*w*h
V= 5/8*3/4*2
V= 15/16
15/16 as a decimal is 0.9375
Second Solid
V= l*w*h
V= 6*7/12*1/2
V= 7/4
7/4 as a mixed fraction is 1 3/4. 7/4 as a decimal is 1.75.
In 1.8 s, a smart and swift dachshund caught his prey that was 8.5 m away what was the dogs speed?
The radius of a circular clock is 13 centimeters. What is the
area of the clock?
Use 3.14 for pi
Answer:
452.16
Step-by-step explanation:
A = (3.14)r^2
A=(3.14)12^2
A=452.16
Answer:
530.66 cm
Step-by-step explanation:
A= π r 2
input known values
A= (3.14) (13^2)
Simplify
A= (3.14) 169
A= 530.66
un campo de fútbol mide de largo 105m y de ancho 65m¿cuál es el área total del campo de fútbol?
Answer:
6825
Step-by-step explanation:
area=largo X ancho
area= 105 x 65= 6825
Use the laws of Sines and law of cosines to find missing dimensions
9514 1404 393
Answer:
11. inconsistent information
12. 26°
Step-by-step explanation:
11. The given numbers are inconsistent. (The first attachment shows one of the 4 possible solutions.)
__
12. In order to find angle C, we need to know side AC. We can find that using the Law of Cosines.
b = √(a² +c² -2ac·cos(B)) = √(19² +15² -2(19)(15)cos(120°)) = √871
b ≈ 29.513
Then angle C is found from the Law of Sines.
C = arcsin(c/b·sin(B)) = arcsin(15/29.513·sin(120°)) ≈ 26.11°
Angle C is about 26°.
The second attachment shows the output of a triangle solver.
Does the mapping diagram represent a function? Why or why not?
Answer:
If I was you I can go
for A because the function name is one to many
MAJOR HELP PLSSS!!!!!
Young company expects to double their profits every year for the next 10 years. If their profits were $5000 this year, which expression represents the profits after 10 years
A.5,000x2x10
B.5,000x2^10
C.5,000^2x10
D.5,000^10
Answer:
Suppose profits were $1
At 1 yr profit = 2 (2)^1
2 yr = 4 (2)^2
3 yr = 8 (2)^3
10 yr = 1024 (2)^10
So the correct answer should be 5000 * (2)^10
how many five-miute segments are in 3\4 of an houre
i need help and fast is 23 points good
Answer: 9
Step-by-step explanation: because 3/4 of an hour is 45 minutes and 45/5 is 9 and it’s in 5 min segments that’s why you divide 45 by 5
sorry for the first one i read the question wrong
A regular ice cream cone is 5 inches tall and has a diameter of 2.5 inches. A waffle cone is 7 inches tall and has a diameter of 3.75 inches.
(a)
Find the volume (in cubic inches) of the regular ice cream cone to the nearest tenth.
cu. in
(b)
Find the volume (in cubic inches) of the waffle cone to the nearest tenth.
cu. in
(c)
How much more ice cream (in cubic inches) fits in the waffle cone compared to the regular cone? Round your answer to the nearest tenth.
cu. in
Answer:
a) 8.2 in^3 b) 25.8 in^3 c) 17.6 in^3
Step-by-step explanation:
volume of cone=(1/3)π(r^2)*h
a) 8.2 in^3
regular ice cream cone=(1/3)π(1.25^2)*5=8.18=8.2 in^3
b) 25.8 in^3
waffle cone=(1/3)π(1.875^2)*7=25.77=25.8 in^3
c) 17.6 in^3
waffle cone-regular ice cream cone= 25.8-8.2=17.6 in^3
A 12-sided sold has faces numbered 1 to 12. The table shows the results of rolling the solid 200
times Find the experimental probability of rolling a number greater than 10
Results
Number
1 2 3 4 5 6 7 8 9 10 11 12 Total
rolled
Frequency 17 13 15 15 17 14 15 32 16 14 15 17 200
The experimental probability of rolling a number greater than 10 [#/#] is
(Simplity your abswer)
Answer:
4/25 maybe?
Step-by-step explanation: