Answer:
D
Step-by-step explanation:
We have to find the vertex of m(t) = t² - 4t + 25
a = 1
b = 4
c = 25
To do that we first need to move the 25 to the other side by subtracting 25 from both sides
m(t) = t² - 4t + 25
- 25 - 25
m(t) - 25 = t² - 4t
To continue completing the square, we have to add 4 to both sides since it is the square of half of b.
m(t) - 25 + 4 = t² - 4t + 4
m(t) - 21 = t² - 4t + 4
Now, we already found the minimum amount of members, but let's finish the square completion to find the vertex.
m(t) - 21 = t² - 4t + 4
Factor the right side
m(t) - 21 = (t-2)(t-2)
m(t) - 21 = (t-2)²
Finish it by adding 21 to both sides
m(t) - 21 = (t-2)²
+ 21 +21
m(t) = (t-2)² + 21
With this vertex form equation, we can tell that the vertex is (2,21)
Meaning 21 is the lowest number for m(t) for this equation.
-18 divided by 9
-5x(-7)
Answer:
1) -18 divided by 9 is -2
2) -5x(-7) is 35x
Step-by-step explanation:
[tex] - 18 \div 9[/tex]
[tex] = - (18 \div 9)[/tex]
[tex] = - 2[/tex]
‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐‐
[tex] - 5x( - 7)[/tex]
[tex] = 5x \times 7[/tex]
[tex] = 35x[/tex]
Is the relation {(9, 1), (8, -2), (7, 0), (6, 5)} a function?
Yes or No
Answer:
Since there is one value of y for every x in the relation above, yes this relation is a function.
I hope this helped you get to your answer, or at least help you out a bit. Thanks and have a great day of learning!
You are offered two jobs. One with a yearly salary of $54,262, and the other an hourly
job with a rate of $26 per hour. Both require you to work for 45 hours a week. How
much more will you make by taking the hourly job?
Answer:
126.5 or 126 and 1/2 (one half)
Step-by-step explanation:
To find out how much that yearly salary is in weeks, we can take the number and divide by 52, because there are 52 weeks in the year.
54,262/52 = 1043 and 1/2 or 1043.5
Now, we must do 26 * 45 because you are working for 45 hours, and making $26 an hour.
and that number for 26 * 45 is 1170.
Now to find how much more you make from taking the hourly job over the salary job, you need to find the difference.
To do that, you would subtract 1170 and 1043.5 or 1043 and 1/2.
That is 126.5 or 126 and 1/2 (one half)
What are “DEC” and “CEF” I will mark the brainiest
[tex]\\ \rm\longmapsto <DEC+<CEF=180[/tex]
[tex]\\ \rm\longmapsto 11x-12+2x+10=180[/tex]
[tex]\\ \rm\longmapsto 13x-1=180[/tex]
[tex]\\ \rm\longmapsto 13x=169[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{169}{13}[/tex]
[tex]\\ \rm\longmapsto x=13[/tex]
Now
[tex]\\ \rm\longmapsto 11x-12=11(13)-12=143-12=131[/tex]
[tex]\\ \rm\longmapsto 2x+10=2(13)+10=36°[/tex]
Answer:
∠ DEC = 142°, ∠ CEF = 38°
Step-by-step explanation:
∠ DEC and ∠ CEF are adjacent angles on the straight line and sum to 180° , so
11x - 12 + 2x + 10 = 180 , that is
13x - 2 = 180 ( add 2 to both sides )
13x = 182 ( divide both sides by 13 )
x = 14
Then
∠ DEC = 11x - 12 = 11(14) - 12 = 154 - 12 = 142°
∠ CEF = 2x + 10 = 2(14) + 10 = 28 + 10 = 38°
Find the value of (625)1/4 i want the answer fast please
Answer:
625 =5⁴
so ( (5)⁴)^1/4
that is 5
pls follow me
d) The shadow of a vertical tower on a level ground increases by 10m, when the altitude of sum changes from angle of elevation 45° to 30°. Find the height of the towe correct to one place of decimal. (Take root 3 = 1.732)
Help As soon as possible please with picture please
Answer:
Below.
Step-by-step explanation:
I cant draw you a picture but it will be one right triangle inside the other where the vertical tower will be one leg common to 2 triangles and the base of the 2 triangles will be x and x+10 metres.
Tan 30 = h/ (x + 10)
tan 45 = h/x where h is the height of the tower.
From the second equation x = h / tan45
Substituting in the first equation;
tan30 = h / (h/tan45 + 10
Tan 30 = 1/ √3 and tan 45 = 1 so
1/ 1.732 = h/ (h + 10)
0.5774 = h/(h + 10)
h = 0.5774h + 57.74
0.4226 h = 57.74
h = 136.6 m to nearest tenth.
Find the circumference of a circle if the area of the circle is 256 π in².
Answer:
32π in
= 100.48 in.
Step-by-step explanation:
From Area:
radius, r = √(A/π)
= √(256 π in²/π)
= 16 in
where π = 3.14
》 Circumference = 2π(r)
= 2π(16)
= 32π in.
= 100.48 in
2.
If AB = 9x - 2 and BC = 6x + 13,
then BC = ?
A
B
С
Answer:
AB = 9x - 2BC = 6x + 13Since both have equal length
9x - 2 = 6x + 13
9x - 6x = 13 + 2
3x = 15
x = 15/3
x = 5
Length of BC = 6(5) + 13 = 43 cm
Step-by-step explanation:
Solution,
AB=9x-2
BC=6x+13
Now,
AC=AB+BC
=9x-2+6x+13
=15x+11
PLSLSLSLSLSL HELPPPPP
Answer:
100 ( 4 - π rad )
Jdnzjdhbdudhejdjejd
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
find the numerical cofficient and literal cofficient in 7xy
[tex]numerical \: coefficient \: = > 7 \\ \\ literal \: coefficient \: = > \: xy[/tex]
hope that helps uh..☺
please help me with this ixl i beg you
Answer:
plot these points on the graph and connect them
Step-by-step explanation:
V(2,0)
T(5,-10)
U(9,-10)
the size of a rectangular photo frame 12 11/16 cm by 8 3/4 cm. which of the following gives the product of these dimentions rounded to the nearest whole number of centimeters
A. 12 cm x 8 cm
B. 12 cm x 9 cm
C. 13 cm x 8 cm
D. 13 cm x 9 cm
Answer:
option D is correct
Step-by-step explanation:
=12 11/16 × 8 3/4
=203/16 × 35/4
=12.6875 × 8.75
After rounding of:
=13 cm × 9 cm.
Hey! If you have any confusion ,ask me any question about it.Thanks
find 6x+y when x=5 and y=7
Answer:
37
Step-by-step explanation:
6x+y
Let x = 5 and y = 7
6*5+ 7
Multiply
30 +7
Add
37
I need help please I’m not sure how to do this
Answer:
This is just simply saying 1 divides by 2 we that is 0.5 in decimal
Hope I helped
does (3,-4) lies on the locus x2+y2=25
Answer:
Yes
Step-by-step explanation:
Both arguments are squared so the equation are in the form of a circle.
A lotus is a point that is equidistant from some fixed point of a conic section. This is a circle so the fixed point is called a center of the circle.
The center of the circle is equidistant from any point on the circumference of the circle. In order for a point to be on the circle, it must satisfy the circle equation.
[tex] {x}^{2} + {y}^{2} = {r}^{2} [/tex]
Let plug in what we know
[tex]3 {}^{2} + ( - 4) {}^{2} = {5}^{2} [/tex]
[tex]9 + 16 = {5}^{2} [/tex]
So 3,-4 is on the locus of the circle.
Please answer ASAP please and thank you
Answer:
2 (15/28)
Step-by-step explanation:
[tex]5 \frac{1}{4} - 2 \frac{5}{7} \\ = \frac{21}{4} - \frac{19}{7} \\ = \frac{21\times 7}{4 \times 7} - \frac{19 \times 4}{7 \times 4} \\ = \frac{147}{28} - \frac{76}{28} \\ = \frac{(147 - 76)}{28} \\ = \frac{71}{28} \\ = 2 \frac{15}{28} [/tex]
A survey was conducted to see which of four major sports American college students prefer to watch: baseball, basketball, football, or soccer. Of those
surveyed, 53% said they prefer football, 26% chose basketball, and 15% preferred baseball. Ifthere were 1,000 American college students in a room, hov-
many would you expect to prefer soccer?
9.10
B
D
6
There are 60 students that prefer soccer
The first step is to determine the percentage of students that prefer soccer The percentage of students that prefer soccer = 100 - (53% + 26% + 15% ) = 6%
6% of the students surveyed prefer soccer
The second step is to determine the number of students that prefer soccer
Number of students that prefer soccer = (percentage of students that prefer soccer / 100) x total number of students surveyed
[tex]\frac{6}{100}[/tex] × 1000 = 60 students
A similar question was solved here : https://brainly.com/question/2371435?referrer=searchResults
(1-cosx)(1+1/cosx)= sinx tanx
Answer:
Step-by-step explanation:
[tex](1 - Cos \ x)*(1+\dfrac{1}{Cos \ x})=(1- Cos \ x)* \left(\dfrac{Cos \x }{Cos \ x}+\dfrac{1}{Cos \ x} \right)[/tex]
[tex]= (1-Cos \ x)*\left(\dfrac{Cos \ x + 1}{Cos x}\right)\\\\=\dfrac{(1-Cos \ x)(1+Cos \ x)}{Cos \ x}=\dfrac{1^{2}-Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{1 -Cos^{2} \ x}{Cos \ x}\\\\=\dfrac{Sin^{2} \ x}{Cos \ x}\\\\=Sin \ x * \dfrac{ Sin \ x}{Cos \ x}\\\\[/tex]
= Sin x * Tan x
Hence proved
if x=2,y=3 and z=4 find yz÷x 10x+7xz
Which geometric term is modeled by the stop sign
i dont know what to do help its timed
Answer:
The choose 3.
[tex]f(x) = 0.5(0.2^{x} )[/tex]
f(1)=0.5 (0.2¹) = 0.5×0.2= 0.1
f(2)=0.5(0.2²)=0.5×0.04=0.020
I hope I helped you^_^
Value of expression 3-15 /7
Answer:
6/7
Step-by-step explanation:
3-15 /7
3 - 15/7
= 6/7
What number should be added to -4/7 to get 5/9?
9514 1404 393
Answer:
71/63
Step-by-step explanation:
Let n represent the number of interest.
-4/7 + n = 5/9 . . . . . n must be added to -4/7 to get 5/9
n = 5/9 + 4/7 = (35 +36)/63 = 71/63
The number 71/63 must be added to -4/7 to get 5/9.
In slope-intercept form, write the equation of
the line that passes through the point (-8,2)
with a slope of
1/2
Answer:
y = 1/2x + 6
Step-by-step explanation:
y = 1/2x + b
2 = 1/2(-8) + b
2 = -4 + b
6 = b
Whats 2/5 as a decimal??
Answer:
0.4
Step-by-step explanation:
divide simply the given problem by using calculator
Answer:
0.4
Step-by-step explanation:
2/5 turned into a decimal is simply 0.4! Hope it helps :)
Jane has 63m ribbon.If she cuts 56m 21cm ribbon from it,what length of ribbon will be left.
You are making spaghetti for dinner. You have the choice of marinara, alfredo, or meat sauce, 4 different shaped noodles, and 2 kinds of cheese. How many different spaghetti dinners can you make?
Answer:
DCC
Step-by-step explanation:
CDDCDC
Different type of spaghetti dinners is 8
What is combination ?
"The number of possible arrangements in a collection of items where the order does not matter."
For 4 different shaped of noodles = ⁴c₁
⁴c₁ = 4
For two kinds of cheese = ²c₁
²c₁ = 2
Now , multiplying these 4×2 = 8
Hence, 8 type of spaghetti dinners
For more about combination
https://brainly.com/question/21306575
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evaluate the function
Answer:
-16
Step-by-step explanation:
x = -3 is less than -2, so you should use the first equation 5x-1
thus, 5(-3)-1 = -16
Marking brainliest
Don’t know what to write for the last 2
Answer:
Business, management, marketing and technology.
Engineering, manufacturing and industrial technology.
i am not sure but i hope it will help you.
please mark me as brainlest.