[tex]4( \frac{1}{5} x + 7) = 2x - 2[/tex]
[tex]x = 25[/tex]
Solve for xxx. Enter the solutions from least to greatest. Round to two decimal places. (x + 8)^2 - 2 = 0
Answer:
55
Step-by-step explanation:
The values of the x are -6.59, and -9.42 if the quadratic equation is (x + 8)² - 2 = 0.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
The complete question is:
Solve for x.
Enter the solutions from least to greatest. Round to two decimal places.
(x + 8)² - 2 = 0
It is given:
(x + 8)² - 2 = 0
Using (a + b)² = a² + 2ab + b²
x² + 16x + 64 - 2 = 0
x² + 16x + 62 = 0
Compare with the standard form of the equation:
a = 1
b = 16
c = 62
Plug the above values in the formula:
[tex]\rm x = \dfrac{-16 \pm\sqrt{16^2-4(1)(62)}}{2(1)}[/tex]
x = [-16 ±√8]/2
x = [-16 ±2.83]/2
Take + sign:
x = [-16 + 2.83]/2
x = -6.59
Take - sign:
x = [-16 - 2.83]/2
x = -9.42
Thus, the values of the x are -9.42, and -6.59 if the quadratic equation is (x + 8)² - 2 = 0.
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solve it : -
[tex] \dfrac{44}{4} [/tex]
_______
Answer:
11Step-by-step explanation:
[tex] \frac{44}{4} [/tex]
= 44 ÷ 4
= 11 (Ans)
Answer:
solution
44÷4=11 ^_^
Thanks for points
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
Will give as the best answer
{x+2y=10
{6y=-3x+30
Help please
Answer:
Step-by-step explanation:
x+2y=10
6y=-3x+30
~~~~~~~~~~~~~~~~
x =10 -2y
substitution
6y=-3x+30
6y=-3(10 -2y)+30
6y = -30 + 6y + 30
6y = 6y
everything disappears.... that means the lines are "the same line"
"co-incident" ... "infinite solutions"
Note" if you ended up with something like 3=0 then the lines are parallel
Mrs. Smith wants to purchase table pads for her circular dining room table. If the table has a diameter of 3 feet and the pads cost 50 cents per square foot, approximately how much will the table pads cost? Use 3.14 for
Answer:3.53
Step-by-step explanation:
I found it on a quiz game got it right
find the points on the y-axis, each of which is at a distance of 13 units from the point (-5,7)
Answer:
The answer is (0,19) or (0,-5).
By distance formula,
after squaring on both sides we and solving we get,
so, y=19 or -5
Step-by-step explanation:
you get the idea, but i don't think this is the answer yet?
the probabilities of having 0,1,2,3, or 4 people waiting in line at a grocery store are shown in the probability distribution below. what is the expected number of people waiting in line, rounded to the nearest tenth?
Answer:
1.4
Step-by-step explanation:
Given the probability distribution :
X _____ 0 ____1 ____ 2 ____ 3 ____4
P(x) _ 0.16 _ 0.41 _ 0.32 __ 0.09 __ 0.02
Expected number of people waiting in line :
E(X) = Σ(x * p(x))
E(X) = (0*0.16) + (1*0.41) + (2*0.32) + (3*0.09) + (4*0.02)
E(X) = 1.4
Answer:
1.4
Step-by-step explanation:
Calculate the length of side WX:
Answer:
WX = 38
Step-by-step explanation:
To get this, we are gong to use the cosine rule
We have the general form as;
a^2 = b^2 + c^2 - 2bc Cos A
Let WX be a
a^2 = 17^2 + 26^2 -2(17)(26) cos 123
a^2 = 1446.46
a = √1446.46
a = 38.03
Identify each situation as a permutation or a combination.
1. choosing friends to invite to a party
2. choosing your top 10 favorite actors
Answer:
1. Combination
2. Permutation
Step-by-step explanation:
Permutations occur in cases where the order of something changes the arrangement (e.g. Choosing letters of a password). Combinations occur when the order of something does not matter (e.g. choosing three donut flavors).
1. Since the order of which you choose and invite your friends does not change who you've invited, this is a combination (order does not matter).
2. When ranking a top-10 list, the order of your ranking affects the ranking itself and makes a difference (order matters). Therefore, this situation is a permutation.
From the given figure,write the corresponding angle of puv
Answer: RVN
Step-by-step explanation:
Corresponding angles are angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
By that - the bottom angle RVN can be an example of corresponding angles.
Please give brainliest!
Answer:
∠ RVN
Step-by-step explanation:
∠ PUV and ∠ RVN are corresponding angles.
Each is in the same position (lower left hand corner ) in its group of 4 angles.
(-26)x(-41)
evaluate the following equation.
help me please
Answer:
[tex]1066[/tex]
Step-by-step explanation:
[tex]( - 26) \times ( - 41)[/tex]
[tex]26 - 41[/tex]
[tex]1066[/tex]
Hope it is helpful....Carrie is comparing the growth of plants under natural and artificial light sources.
Part A
Use the measures of center from the box plots to make an inference about the data.
Part B
Use the box plots to make an inference using the variability of the data.
Answer:
Median :
P = 2 ; Q = 3.5
Variability :
P = 1.5 ; Q = 1.5
Step-by-step explanation:
The measure of center we can infer from the box plot is the median, which is the point marked by the vertical line in between the box ;
For Group P:
Median = 2 inches
For Group Q :
Median = 3.5 inches
To infer the variability :
We calculate the interquartile range (IQR) :
IQR = Q3 - Q1
Q3 = Upper quartile (end point of box) ; Q1 = lower quartile (start point of box) in the plot
Locate QI and Q3
Group P:
IQR = Q3 - Q1 = 3 - 1.5 = 1.5
Group Q :
IQR = Q3 - Q1 = 4.5 - 3 = 1.5
What is the area of this trapezium
Answer:
66.5cm²
Step-by-step explanation:
Area of trapezium = [tex]\frac{1}{2}[/tex] (sum of parallel sides) × height
Let parallel side 1 = 12cm
parallel side 2 = 7cm
height = 7cm
Area = [tex]\frac{12 + 7}{2}[/tex] × 7 = 66.5cm²
Which expression is equivalent to
Answer:
5^15
Step-by-step explanation:
5^10 * 5^5
We know that a^b * a^c = a^(b+c)
5^(10+5)
5^15
Answer:
5¹⁵
Step-by-step explanation:
5 ¹⁰ . 5⁵
multiply the term with the same base by adding their exponent.5¹⁰+⁵
5 ¹⁵
Pls help
Am not very good at this
Answer:
Step-by-step explanation:
Given angles are central angles and the measure of central angles are equal to the measure of the ark they see so the measure of arc BD is equal to angle <A and A is equal to 360 - 150 - 97 (since the sum of these angles equal to 360)
ark BD = 113 and the measure of arc DCB
150 + 97 = 113
What is the inequality for this verbal description?
The value of y is greater than or equal to the sum of five times the value of x
and negative three.
Answer:
y >= 5x - 3
Step-by-step explanation:
since the verbal description mentions "sum", we need to have at least two things to add together.
for this reason we cannot misinterpret the -3 as an element to be included in the "5 times" term, because otherwise we would not have a second thing to build a sum.
At LaGuardia Airport for a certain nightly flight, the probability that it will rain is 0.07 and the probability that the flight will be delayed is 0.12. The probability that it will not rain and the flight will leave on time is 0.87. What is the probability that it is raining if the flight has been delayed? Round your answer to the nearest thousandth.
Answer:
it would be 0.7 got it right when i done it
Step-by-step explanation:
Answer: real answer is 0.278
Step-by-step explanation:
A person 5.5ft tall casts a shadow that is 6ft long. At the same time of day a
lamppost cast an 18ft shadow. How tall is the lampost?
17.5 feet
16.5 feet
1.83 fee
15,5 feet
Write 0.1177 to 2 decimal places
Answer:
0.12 is the correct answer
What is the remainder when 19x^2 +14x +12 is divided by x-2?
Answer:
116
Step-by-step explanation:
x-2 take -2 to the other side which will be +2 thus sub +2 into the quotient and calculate
The circumference of a circle can be found using the formula C = 2r.
Which is an equivalent equation solved for r?
r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.
Answer:
r = C/(2π)
Step-by-step explanation:
C = 2πr
Divide both sides by 2π
C/(2π) = r
r = C/(2π)
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.
What is a circle?A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;
C = 2πr
Where r is radius and π is constant pi ( π = 3.14 )
Now, if the circumference C = 2πr, lets make radius r the subject of the formula.
C = 2πr
Divide both sides by 2π
C/2π = 2πr/2π
C/2π = r
r = C/2π
Given that the circumference of a circle, its radius r becomes r = C/2π.
Option C) r = start fraction C over 2 pi end fraction is the correct answer.
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What is the theoretical probability for a family with three children for two girls and a boy
Answer:
1 time 2 ratio per boy, and 3 to 2 ratio per girl
Step-by-step explanation:
What must be added to f(x) = 4x4 + 2x3 -2x2 +x - 1, so that the resulting polynomial is divisible by g(x) = x2 +2x -3?
Answer:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
Step-by-step explanation:
We want to find a polynomial p(x), such that if we add that polynomial to:
f(x) = 4*x^4 + 2*x^3 - 2*x^2 + x - 1
we get:
g(x) = x^2 + 2*x - 3
This is:
f(x) + p(x) = g(x)
Notice that f(x) is a polynomial of degree 4 and g(x) is a polinomial of degree 2, so p(x) must be also a polynomial of degree 4.
p(x) = a*x^4 + b*x^3 + c*x^2 + d*x + e
Then we get:
(4*x^4 + 2*x^3 - 2*x^2 + x - 1) + (a*x^4 + b*x^3 + c*x^2 + d*x + e) = x^2 + 2*x - 3
We can simplify the left side to:
(4 + a)*x^4 + (2 + b)*x^3 + (-2 + c)*x^2 + (1 + d)*x + (-1 + e) = x^2 + 2*x - 3
Because in the right side we do not have terms with exponent 4 and 3, we must have that:
4 + a = 0
2 + b = 0
and for the other exponents of x we just match the exponent in the left side with the correspondent one in the right side:
(-2 + c) = 1
(1 + d) = 2
(-1 + e) = -3
Solving the 5 equations we get:
a = -4
b = -2
c = 1 + 2 = 3
d = 2 - 1 = 1
e = -3 + 1 = -2
Then the equation for p(x) is:
p(x) = -4*x^4 - 2*x^3 + 3*x^2 + 1*x - 2
What is the area of the triangle below?
3 18
A. 27 sq. units
B. 18 sq. units
C. 21 sq. units
D. 54 sq. units
Helppppp ASAP please
Answer:
A. 27 sq. units
Step-by-step explanation:
A = 1/2 · b · h
A = 1/2 · 3 · 18
A = 1/2 · 54
A = 27 sq. units
Answer:A-27
Step-by-step explanation:
A=1/2 18*3=27
Find the sum
1/(1x3) + 1/(2x4) + 1/(3x5) + .... + 1/(98x100)
Answer:
Step-by-step explanation:
What percent of the data is between 25 and 30 on the number line?
a 25%
b50%
c75%
d100%
'Option A' is the correct answer....
The solution is Option A.
The percentage of the data in the number line is 25 %
What is Percentage?
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %
Given data ,
Let the number line be represented as A
Now , the percentage of the data between 25 and 30 on the number line be P
And , the equation will be
The data on the number line stretches from 30 to 50 with 4 equal parts
So , Since there are 4 equal parts , and each part equals 25 %
And , the percentage of data between 25 and 30 is a part
So ,
The percentage will be 25 %
Hence , the percentage of data is 25 %
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7. Lin is saving $300 per year in an account that pays 15% interest per year,
compounded annually. About how much money will she have 20 years after she
started?
A. $545.45
B. $3,748.78
C. $9,411.43
D. $1,124,634,54
Answer:
c
Step-by-step explanation:
to much working out but just as a summary section of working out
3*15=45
300+45=$345(1st year)
345+300=645
6.45*15=96.75
645+96.75=$741.75(2nd year)
keep on doing that until you beat 2 in list and use common sense to realise that (d) is too big, and (b, a) is too small so (c) is the correct amount. (this is quicker than actually doing all 20 years)
The total money with Lin after 20 years will be $4910.
What is the formula to calculate compound interest?The formula for compound interest -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
Given is that Lin is saving $300 per year in an account that pays 15% interest per year, compounded annually.
We can write the total money with Lin after 20 years as -
[tex]$A = P(1 + \frac{r}{n}) ^{nt}[/tex]
A = 300(1 + 0.15/1)²⁰
A = 300(1 + 0.15)²⁰
A = 300 x (1.15)²⁰
A = 300 x 16.37
A = 4910
Therefore, the total money with Lin after 20 years will be $4910.
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If a = 3 inches and c= 5 inches, what is the measure of b?
2 inches
3 inches
4 inches
8 inches
B is 4 inches i think
hope that helps
Calculate the length of side AC:
Answer:
146⁰ + x = 180
x = 34⁰ is AC ..a..a.