Express 5x²-15x+1 in the form p(x+q)²+r, where p,q,r ate constants
Answer:
[tex] 5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]
Step-by-step explanation:
[tex] 5x^2-15x +1[/tex][tex]= 5\bigg(x^2-3x +\frac{1}{5}\bigg)[/tex][tex] =5\bigg[x^2-2.\frac{3}{2}x +\bigg(\frac{3}{2}\bigg)^2-\bigg(\frac{3}{2}\bigg)^2+\frac{1}{5}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{1}{5}-\frac{9}{4}\bigg][/tex][tex] =5\bigg[\bigg(x-\frac{3}{2}\bigg)^2+\frac{4-45}{20}\bigg][/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-5.\frac{41}{20}[/tex][tex] =5\bigg(x-\frac{3}{2}\bigg)^2-\frac{41}{4}[/tex]How do I solve augmented matrices??
Write the coefficients of the x-terms as the numbers down the first column.
Write the coefficients of the y-terms as the numbers down the second column.
If there are z-terms, write the coefficients as the numbers down the third column.
Draw a vertical line and write the constants to the right of the line.
6 worker can construct 10 m long wall in 4 days . in how many days 2 worker can contruct 15 m long wall ?
Answer:
it should take the workers 18 days to finish
Step-by-step explanation:
PLEASE HELP ASAP!!!!
A scatter plot is shown below: if you need an image of it look at the bottom
A graph shows numbers from 0 to 10 on the x axis at increments of 1 and the numbers 0 to 15 on the y axis at increments of 1. The ordered pairs 0, 14 and 1, 11 and 2, 9 and 3, 10 and 4, 7 and 5, 7 and 6, 5 and 7, 5 and 8, 3 and 9, 1 and 10, 0 are shown on the graph.
Which two ordered pairs can be joined to best draw the line of best fit for this scatter plot?
(4, 15) and (10, 7)
(1, 6) and (6, 0)
(0, 13) and (10, 11)
(0, 13) and (10, 0)
Reason:
If you were to draw a line through the points mentioned in choice A, the line wouldn't be close to the points since (4,15) isn't close to the points. The same goes for (10,7). So we can rule out choice A. Choices B and C are similar stories.
Choice D on the other hand has its line fairly close to all of the points.
Last option
(0,13)
The point will lie at top(10,0)
The point will lie at bottomSo
both will contain most no of plots so Option D is correct
You plan to move to San Antonio. You earn a salary of $42,000 here in McAllen. How much more must you earn in San Antonio if the cost of living is 15% higher?
Write 9.30 in scientific notation
Please help :)
I’ll give brainliest to whoever comments first and gets it right!
Answer:
9.30 × 10⁰ bro that was so easy
Which value of x solves the equation below?
10(x - 1) = 8x - 2
x = 5
X= 6
th
x=2
X= 4
Answer:
x = 4
Step-by-step explanation:
10(x - 1) = 8x - 2
10x - 10 = 8x - 2
10x = 8x + 8
2x = 8
x = 4
Janet can make 3/4 of a necklace in 10 minutes. At this rate, how many necklaces, to the nearest tenth of a necklace,can janet make in 1 hour?
SHOW WORK
Answer: 2.3
Step-by-step explanation:
Janet can make 3/4 of a necklace in 10 minutes.
We need to find how many necklaces she can make in 1 hour.
1 hour = 60 minutes
We can rewrite it as:
1 hour = 3*(20 minutes)
So Janet can create three 3/4 necklaces in 1 hour
Therefore, the total necklaces Janet can make in 1 hour = 3*(3/4) = 9/4 = 2.25
To the nearest tenth of a necklace = 2.3 necklaces
Select all the expressions equal to sin (30°). *
sin 2/3
cos 5m/3
tan π/6
sin 5/6
cos 60°
cos 11π/6
Solve: log (15x+10) = 2*
The trigonometric expression sin 30° will be equal to cos 60°. Then the correct option is E.
How to convert the sine of an angle to some angle of cosine?We can use the fact that:
sin(θ) = cos(90 - θ)
To convert the sine to cosine (but the angles won't stay the same unless it's 45 degrees).
The trigonometric expression sin 30° will be equal to
The sin 30° can be written as
sin 30° = cos(90° - 30)
sin 30° = cos 60°
Then the correct option is E.
Learn more about sine to cosine conversion here:
https://brainly.com/question/1421592
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Solve 2x2 + 3x − 5 = 0 by factoring.
x=1, 52
x=1, −52
x=1
x=−52
NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?
A. -959,781
B. 29,637
C. 26,661
D. 959,780
Answer:
D
Step-by-step explanation:
the sum to n terms of a geometric sequence is
[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]
where a₁ is the first term and r the common ratio
here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then
S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]
= [tex]\frac{-4(1679616-1)}{-6-1}[/tex]
= [tex]\frac{-4(1679615)}{-7}[/tex]
= [tex]\frac{-6718460}{-7}[/tex]
= 959,780
Find f(-3) for f(x) = 4(2)^x.
ОА. 1/8
O B. -32
O C. -24
OD. 1/2
Answer:
D
Step-by-step explanation:
using the rule of exponents
[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]
substitute x = - 3 into f(x)
f(- 3) = 4([tex](2)^{-3}[/tex] = 4 × [tex]\frac{1}{2^{3} }[/tex] = 4 × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex]
Pls help will give brainilist
Answer:
3. 26 problems left
4. $69.20
Step-by-step explanation:
1. First I divided 5 into 2 to get a decimal, 0.4, and then I multiplied 0.4 to 65.
0.4 x 65 = 26
2. It said that Luke paid 2.75 for himself and 6 other friends, which is 7 people. I then multiplied 2.75 x 7 and got 19.25. I then added 19.25 to the other amount of money, and got 69.20.
49.95 + 19.25 = 69.20
Hope this helps <3
The area of one face of a cube is 144 square inches.what is the volume of the cube?
Check the picture below.
[tex](s)(s)=144\implies s^2=144\implies s=\sqrt{144}\implies s=12 \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of the cube}}{(s)(s)(s)\implies s^3}\implies 12^3\implies 1728~in^3[/tex]
Answer:
1728 in³
Step-by-step explanation:
Given that,
→ Area = 144 sq in
Then the length will be,
→ a² = 144
→ a = √144
→ [ a = 12 ]
Formula we use,
→ V = a³
Now required volume will be,
→ a³ = 12³
→ 12 × 12 × 12
→ 1728 in³
Hence, the volume is 1728 in³.
7 UNIT 2(CALCULATOR 7 OF S
Part A
The first type of cup the manager ordered is in the shape of a right circular cone with the dimensions, in centimeters (cm), as shown in the
figure.
-7 cm
9 cm
What is the volume, in cubic centimeters, of each cup?
O A 110.25m
OB. 47.25T
OC. 36.75m
OD. 10.5m
Part B
Answer:
Volume of Cone=1/3πd²/4×h
= 1/3π×7²/4×9
= 36.75cm³
Can the sides of a triangle have lengths 3, 4, and 19?
Each cube in this figure measures 1 centimeter on each side.
What is the volume of this figure?
112 cm³
84 cm³
33 cm³
31 cm³
Which could be the missing data item for the given set of data if the median of the complete data set is 50?
21 23 60 60 50 54 54 59 26 15 43 15
A. 18
B. 24
C. 45
D. 57
Answer:
D. 57
PLEASE GIVE BRAINLIEST THANK YOU!!!
Which expression shows the distance on the number line between −14 and −5?
∣∣−5−14∣∣
∣∣−14−(−5)∣∣
∣∣−14−5∣∣
∣∣−14+(−5)∣∣
Answer:
||−14+(−5)||
Step-by-step explanation:
awnser okease quicxkly
Answer:
P': (-9,10)
Q': (-2,10)
R':(-2,0)
S':(-9,0)
Answer:
the answer for all of this question should be.
P=(-9,-10)
Q=(-2,-10)
R=(-2,0)
S=(-9, 0)
so hopefully those are the correct answers and sorry if i get them wrong because i tried my best i could as possible to get them right so have a great day.
Step-by-step explanation:
Which symbol in a chemical equation separates the reactants from the products? = → >
The symbol in a chemical equation that separates the reactants from the products is →
How to determine the symbol?A chemical equation is represented as:
A + B → C + D
Where A and B are the reactants, and C and D are the products.
The symbol → links the reactants with the products
Hence, the symbol that separates the reactants from the products is →
Read more about chemical reactions at:
https://brainly.com/question/16416932
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Answer:
→
Step-by-step explanation:
edge 2022
Football boot sizes of a football team continuous or discrete
Answer:
discrete?
according to probability of basic things we know that there are more people different than same so there is more than enough probability of those sizes being discrete.
The following spinner has four sections. There are equal sections for 1, 4, and 3. The section for 2 is twice as large as each of the other sections. 1 2 4 3
Answer:
it would be 39t for the extra 8s
Step-by-step explanation:
What is the measure of ZEKY in this figure?
O 104°
O 115°
O 129°
O I don't know.
Please answer fast!
Answer: 104 degrees
Step-by-step explanation:
Three times a number decreased by 2 equals forty
Answer:
14
Step-by-step explanation:
40 plus 2 is 42
42 divided by 3 is 14
help me find the value of x I will give BRAINLIEST HELP QUICK
Answer:
560
Step-by-step explanation:
If this isn't correct Im sorry I rushed it should be right but if not it should be close.
he pyramid shown below represents the Pyramid of the Moon, which is located in Teotihuacan, Mexico.
What is the volume of this pyramid?
Answer:
1156528
Step-by-step explanation:
you multiply all of the numbers to get it i think hope this helps
can you help me with this
Answer:
c
Step-by-step explanation:
The diameter of a volleyball is 8.4 in. what is the approximate volume of the volleyball? a. 222 in.3 b. 233 in.3 c. 296 in.3 d. 310 in.3
Answer:
C.
Step-by-step explanation:
According to the volume equation of a sphere (V=4/3πr³)
8.4/2 equals a radius of 4.2, which when cubed equals 74.088 (base area). You then multiply your base area by the numerator of 4/3, giving you 296 when rounded or 296.352 when not rounded. Giving you the answer of C.
What is the y-intercept of the line 15 - 3y = x?
The y-intercept of the line 15 - 3y = x is ( 0 , 5 )
Sure hope this helps you