The transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
Given equation is: [tex]x^{2} -2x-2[/tex]
What is the expansion of the square of (a+b)?The expansion of (a+b)² is a²+b²+2ab.
We can rewrite the given expression as:
[tex]x^{2} -2x+1 -3[/tex]..........(1)
We know that [tex]x^{2} -2x+1[/tex] is the expansion of [tex](x-1)^2[/tex].
So, (1) can be written as:
[tex]x^{2} -2x+1 -3[/tex]
[tex](x-1)^2 -3[/tex]
So, [tex]x^{2} -2x-2 = (x-1)^2-3[/tex]
Therefore, the transformation of the expression [tex]x^{2} -2x-2[/tex] is [tex](x-1)^2 -3[/tex].
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Answer:
The answer is B. (x-1)^2 - 3
Step-by-step explanation:
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What is the equation of the line that contains the points (-5, 0) and (0, 6)?
Answer:
y=6/5x+6
Step-by-step explanation:
Solve by row equivalent method. 6x-4y=0.
x+y-5=0
Answer:
x=2 , y=3
Step-by-step explanation:
SOMEONE PLS HELPPPPP
Answer:
answer will be 3rd graph----------------------------------------------
Lines q and r are parallel. Parallel lines q and r are cut by transversals s and t. The angles formed by the intersection of lines q, s, and t, clockwise from top left, are blank, 53 degrees, blank, 57 degrees, blank, blank; formed by s and r are blank, 5 x degrees, blank, blank. What is the value of x? 14 22 53 70.
Alternate Interior Angles are formed on the interior of the parallel lines, on the opposite sides of the transverse. The value of x is 14.
What are Alternate interior angles?When two parallel lines are cut by a transverse. the angles formed on the interior of the parallel lines, on the opposite sides of the transverse are known as the Alternate Interior Angle.
As we can see in the centre where the triangle is formed, the measure of the different angles can be written as,
Vertically opposite Angles, [tex]\angle A = 53^o[/tex]
Alternate Interior Angles, [tex]\angle C = 57^o[/tex]
[tex]\angle B = 5x[/tex]
Now, the sum of all the angles of this triangle can be written as,
[tex]\angle A+\angle B+\angle C = 180^o\\\\53^o + 5x + 57^o = 180^o\\\\110^o + 5x = 180^o\\\\5x = 180^o-110^o\\\\5x = 70^o\\\\x = 14[/tex]
hence, the value of x is 14.
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Answer:
22
Step-by-step explanation:
Kevin runs a farm stand that sells apples and raspberries. Each pound of apples sells for $3.50 and each pound of raspberries sells for $4. Kevin sold twice as many pounds of raspberries as pounds of apples and he made $115 altogether. Determine the number of pounds of apples sold and the number of pounds of raspberries sold.
Answer:
Step-by-step explanation:
10 pound of apple Sells and 20 pound of Raspberry sells
Evaluate 8x−y2−3 when x=−1/4 and y=3.
Answer:
-14
Step-by-step explanation:
I believe you meant 8x−y^2−3. The expression 8x−y2−3 is meaningless.
Letting x take on the vaue -1/4 and y the value 3, we get:
8(-1/4) − (3)^2−3, or
-2 - 9 - 3, or
-2 - 12. Final answer is -14
What is the volume of a sphere with a radius of 25. 9 in, rounded to the
nearest tenth of a cubic inch?
Answer:
Step-by-step explanation:
Formula
V = (4/3) pi r^3
Givens
pi = 3.14
r = 25.9 inches
Solution
V = (4/3) pi r^3 Substitute values
V = (4/3) * 3.14 * 25.9^3
V = (4/3) * 3.14 *17373.98
V = 72739.1
Solve the inequality.
-4 (7 + 6x)< -2(x+3)
write in inequality integer form
Answer:
-1 >x
Step-by-step explanation:
-4(7+6x)<-2(x-6)
-28-24x<2(x-6)
-28-24x<-2x-6
+6. +6
-22-24x<-2x
+24x +24x
-22 < 22x.
-22÷-22=1 that canceled out
+22÷-22= -1
-1>x. because we divided by a negative the inequality switched.
Hope this helped
A lime has a mass of 90 grams, and is in the shape of a sphere with radius 1 point
2.5 centimeters. What is the density of the lime?
The density of the lime is 1.38 g/cm^3.
What is the density of a lime?
Remember that the density is given by the quotient between mass and volume.
Here, the lime is a sphere with a radius of 2.5 cm, remember that the volume of a sphere of radius R is given by:
V = (4/3)*pi*R^3
So our lime has a volume:
V = (4/3)*3.14*(2.5 cm)^3 = 65.42 cm^3
And the mass is M = 90 grams, then the density is:
D = M/V = (90 g)/(65.42 cm^3) = 1.38 g/cm^3
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Amrit's income is 32% more than Bethan's income. Amrit and Bethan's combined income is £54868.
Calculate Amrit's income.
Can you show your working?
b = Bethan's Income
hmmm how much is 32% of "b" anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{32\% of b}}{\left( \cfrac{32}{100} \right)b}\implies 0.32b~\hfill \stackrel{\textit{Amrit's Income}}{b~~ + ~~0.32b} \\\\[-0.35em] ~\dotfill[/tex][tex]\stackrel{\textit{\Large Incomes}}{ \stackrel{Bethan}{b}~~ + ~~\stackrel{Amrit}{(b+0.32b)}~~ = ~~\stackrel{combined}{54868}}\implies 2.32b=54868 \\\\\\ b=\cfrac{54868}{2.32}\implies b=23650~\hfill \underset{\textit{Amrit's Income}}{\stackrel{23650~+~0.32(23650)}{\pounds ~31218}}[/tex]
How much time will Alex need to walk to his school, which is 2 1/4 miles away from his house, if he would walk with the speed of
3 3/4 mph
Answer:
it would take 3/5 of an hour or 0.6 as a decimal
Step-by-step explanation:
3 3/4 divided by 2 1/4 is 3/5 or 0.6
Hope this helped!
Answer:
it would take 3/5 of an hour or 0.6 as a decimal
Step-by-step explanation:
3 3/4 divided by 2 1/4 is 3/5 or 0.6
John’s current salary is $40,000 per year. His annual pay raise is always a percent of his salary. For the foreseeable future, his pay increases will be 4%. Write an explicit formula for the sequence of amounts. Let s represent John's salary and y represent the number of years.
Answer:johns my fraind
Step-by-step explanation:
Last year, there were k ples baked for the bake sale. This year, there were 214 ples baked. Using k, write an expression for the total number of ples baked in the
two years.
Answer:
total number of ples baked in the two years= 214+k
you are supposed to be able to do it your own, i think the maths teacher think in this way.
(a) If NC. 200 = 2.45 Australian dollar and 8816 Australian dollar 8152 Canadian dollar. how much Canadian dollar can be exchanged with NC, 45000 ?
The amount of Canadian dollar that can be exchanged with NC. 45000 is; 533.69 canadian dollar
What is the currency equivalent?
We are told that;
NC. 200 = 2.45 Australian dollar
8116 Australian dollar = 8152 canadian dollar
Thus;
NC per Australian dollar = 200/2.45 NC/AUS Dollar
Thus;
200/2.45 NC = 1 Australian dollar
8116/8152 Australian dollar = 1 canadian dollar
Since 1 Australian dollar = 200/2.45 NC , then
8116/8152 Australian dollar = 8116/8152 * 200/2.45
⇒ 81.272 NC
Thus;
81.272 NC = 1 canadian dollar
Then; NC.45000 = 45000/81.272 = 533.69 Canadian dollar
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Adalia ate lunch and wanted to leave her waitress a 15% tip. Hermeal cost $8.95. How much money should adalia leave for the dip?
Answer:
$1.34
Step-by-step explanation:
15% × 8.95 =
(15 ÷ 100) × 8.95 =
(15 × 8.95) ÷ 100 =
134.25 ÷ 100 =
1.3425 ≈
1.34;
Answer:
1.34$
Step-by-step explanation:
Multiply 8.95 by 0.15 to get 15% tip.
Pete Brodes dirt bike 2/3 of a 150 mile course how many miles did Pete ride?
Answer:
100
Step-by-step explanation:
The fraction 2/3 says there are 3 total parts to the track, but Pete only rode 2 of them.
In this type of problem you always multiply the amount of the whole (150) times the fraction of the whole you are calculating (2/3) to get the answer.
150*2 = 300 divided by 3 = 100
Or 150 * (2/3) = 150 * 0.66667 = 100
trim the exam the equation below and said that the equation has exactly one solution -8(x - 4) + 2x = -4(x - 8) - 2x which explains whether Trina is correct:
a.) Trina is correct because the two sides of the equation are equivalent
b.) Trina is correct because the two sides of the equation are not equivalent
c.) Trina is not correct because the two sides of the equation are equivalent
d.) Trina is not correct because the two sides of the equation are not equivalent
I'm super confused on this can somebody help me
The answer is C Trina is not correct because the two sides of the equation are equivalent
find the missing angle measures
Answer:
Step-by-step explanation:
180° ( n - 2 )
n = 6 sides
4( x )° + 2( x - 6 )° = 180° ( 6 - 2 )
4x + 2x - 12 = 720
6x = 732
x = 122
x° = 122 °
( x - 6 )° = 116 °
122° + 116° + 122° + 122° + 116° + 122° = 720°
"given that g(x) = x^2-5, work out the value of: g(0) g(2) g(4)"
Answer:
g(x)= x^2-5
g(0)= (0)^2-5
= 0-5
= -5
g(2)= (2)^2-5
= 4-5
= -1
g(4)= (4)^2-5
= 16-5
=11
Megan is 109 cm tall sunil is 137 cm how much taller is sunil than megan
Answer:
sunil is 28 cm taller than Megan
Answer:
28cm
Step-by-step explanation:
so basically
Sunil take away Megan =answer
137-109=28cm
What is the image of the point (-1,7)(−1,7) after a rotation of 90^{\circ}90∘counterclockwise about the origin?
Answer:
(- 7, - 1 )
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x ) , thus
(- 1, 7 ) → (- 7, - 1 )
Pls answer the question attached.
I WILL MARK U BRAINLIST
To simplify, we multiply each single one in the first bracket with both in the second bracket :
[tex](3x+1)(3x-5) = 9x^{2} -15x + 3x - 5[/tex]
5 yr. 8 mo.
8 yr. 6 mo.
+ 4 yr. 5 mo.
We’re the answer
Bryce needs to save at least $1400 for new baseball gear. He has $600 and will continue saving $25 a week. Select all the inequalities below that represent this situation where, n, is the number of weeks.
25n + 600 < 1400
25n > 800
25n - 600 > 1400
25n < 800
25n - 600 < 1400
25n + 600 > 1400
Answer:
25n + 600 > 1400
Step-by-step explanation:
lim x-V16-12
D
x4
Plz help
Answer:lim x- √16-x²=32
Step-by-step explanation:
[tex]x^{4}[/tex]-16
=(x²)²-4²
=(x²-4)(x²+4)
=(x²-2²)(x²+4)
=(x-2)(x+2)(x²+4)
So:
[tex]\frac{x^{4}-16 }{x-2}[/tex]=[tex]\frac{(x-2)(x+2)(x^{2}+4) }{(x-2)}[/tex]=(x+2)([tex]x^{2}[/tex]+4)
with exclusion:
x[tex]\neq[/tex]2
Hence:
lim [tex]\frac{x^{4}-16 }{x-2}[/tex]
x-2
((x+2)([tex]x^{2}[/tex]+4))=
((2)+2)((2)²+4)=4⋅8=32
Jasmine loves to babysit. On Saturday, she babysat from 3:29 p.m. to 4:52 p.m. On Sunday, she babysat from 1:37 p.m. to 3:16 p.m. How long in total did she babysit? Explain how you found the answer.
BRAIILEST IF CORRECT
The surface area of the prism is _____ square units. All measurements in the image below are in units. (Input whole number only.)
A triangular prism is shown with 2 right triangular sides having legs 4 and 3 and hypotenuse 5. The length of the prism is 4.5
Answer:
54 and here is why..
Step-by-step explanation:
In order to calculate the surface are of the prims, you have to calculate the area of each face of the prism, also you have to remember the different formulas to calculate the areas:
Rectangle will be (Length x Width) and
Triangle will be (Base x Height / 2)
SOOO, You just have to insert the values into formulas:
Rectangle1 = 4 x 3.5
Rectangle1 = 14
Rectangle 2 = 5 x 3.5
Rectangle 2 = 17.5
Rectangle 3 = 3 x 3.5
Rectangle 3 = 10.5
Triangle 1 = 4 x 3 / 2
Triangle 1 = 6
Triangle 2 = 4 x 3 / 2
Triangle 2 = 6
SOoo again, if you add all the faces, you get the surface area of the prims:
14+17.5+10.5+6+6=54
I hope this help you my friend, have a good day
Answer:
Step-by-step explanation:
Give him brainliest
Help!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11 2/3
Step-by-step explanation:
Let’s do this
5*2 1/3
Convert the mixed fraction to an improper fraction
2 1/3= 3*2+1=7/3
Now let’s multiply straight across
5*7/3=5/1 * 7/3=35/3
To get mixed number, divide
35/3=11 2/3
And if we convert 11 2/3 to improper, we get 35/3, which is correct. So therefore the answer is 11 2/3.
Hope this helps!
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How to understand the Triangle-sum Theorem?
Answer:
Its Simple All the angles in a triangle adds up to 180°
Step-by-step explanation:
∠A + ∠ B + ∠C = 180° NO matter what. You can also use this in inverse If you have two out of three angles then you can add the two angles you have and subtract the from 180 to get the measurement of the 3rd angle.
Hope this helps
a student earns R220 a week.What does he earn in a year of it takes 2 weeks unpaid.
R11 000 in a year.
Step-by-step explanation:
Student earn R220 a week.A year have 52 weeksIt takes 2 weeks unpaidTherefore:
52 weeks - 2 weeks unpaid = 50 weeks
50 weeks × R220 = R11 000 in a year