Answer:
no mistakes
Step-by-step explanation:
There are no mistakes in the derivation of the quadratic formula by completing the square
Step 1
Move c to the right hand side
Step 2 Get x^2 to have a coefficient of 1
Step 3 complete the square by adding ( b/2a) ^2 to each side
Step 4 Write in the completed square form ( x+ b/2x) ^2 = -c/a + ( b/2a) ^2
Step 5 take the square root of each side, remembering the plus and minus
Step 6 subtract (b/2a) from each side
Which function is graphed on the right? y = 2x+3 – 2 y = 2x–3 + 2 y = 2x–2 + 3 y = 2x–2 – 3
Answer:
y=2x-2-3
Step-by-step explanation:
First you will need graphing paper. Go ahead and locate the y intercept on each of these equations. Then locate the slope. (y=mx+b). If the slope is positive count the amount of blocks up the slope's value is. And if negative count down. Then count to the right depending on the denominator. (2/1) You will make a triangle draw the line on the hypotenuse of the triangle. Then you have the line. You can also just use desmos.
The equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
What are functions?Functions are used to represent equation, graphs and tables
The parent function of the graph is an exponential function represented by
[tex]y = 2^x[/tex]
First, the function is shifted 2 units right.
So, we have:
[tex]y = 2^{x - 2}[/tex]
Next, the function is shifted 3 units up.
This is represented as:
[tex]y = 2^{x - 2} + 3[/tex]
Hence, the equation of the graphed function is [tex]y = 2^{x-2} + 3[/tex]
Read more about exponential functions at:
https://brainly.com/question/11464095
Jeffrey estimates there's a 40% chance to eat pizza for dinner, it's 60% chance he'll drink cold out, and it's 30% chance to eat pizza and drink Cola. What's the probability of Jeffrey drinking cola, if he eats Pizza?
Answer:
a. 75%
Step-by-step explanation:
Let "p" represent the probability that Jeffrey will eat pizza, and "c" represent the probability that he will drink cola.
We are given ...
P(p) = 0.40
P(p&c) = 0.30
The conditional probability of interest is ...
P(c|p) = P(p&c)/P(p) = 0.30/0.40 = 0.75
The probability Jeffrey will drink cola, given that he eats pizza, is about 0.75.
How many two-digit primes have both their digits non-prime?
Answer:
89
Step-by-step explanation:
8 is divisible by 4
And 9 is divisible by 3
Does anyone know the answer ?
Answer:
3.75
Use the pythogorean theorm for sqrt(6.25^2 - 5^2) = x
B^7 divided b^4 simplified
Answer:
[tex] = {b}^{3} [/tex]
Step-by-step explanation:
[tex] \: \: \: \: \: \: \: \frac{ {b}^{7} }{ {b}^{4} } \\ = {b}^{7 - 4} \\ = {b}^{3} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
tell whether this has one solution, infinitely many solutions, or no solution. Explain your reasoning. y=2x+7, y=3x-1
Answer:
One solution
Step-by-step explanation:
They have isolated y for you in both equations so you can plug either one into the other.
y = 3x - 1
2x + 7 = 3x - 1
isolate the x
7 = x - 1
x = 8
Go back to the original and plug 8 into x to get y.
y = 2 (8) + 7
y = 16 + 7
y = 23
This means at (8, 23) y = 2x+7 is equal to y = 3x-1. In other words they share a point at (8, 23). This is the only solution because for any other x and y they'd not be equal.
[tex] - \frac{1}{2} x > 4[/tex]
Answer:
x< -8
Step-by-step explanation:
To solve the inequality, we must get x isolated.
-1/2x>4
We have to perform the inverse operation to both sides. x is being multiplied by -1/2. The inverse of multiplication is division. Divide both sides by -1/2.
-1/2x / -1/2 > 4/ -1/2
When dividing by fraction, you can also multiply by the reciprocal.
To find the reciprocal, flip the numerator and the denominator.
-1/2–> -2/1
-2/1 *-1/2x > 4* -2/1
x> 4* -2/1
When multiplying or dividing by a negative number in an inequality, you must flip the inequality sign.
x < 4* -2/1
x < 4*-2
x< -8
3. A soccer team played 160 games and won 65 percent of them. How many games did the team win?
a. 94
b. 104
c. 114
d. 124
Answer:
b.) 104
Step-by-step explanation:
Percent formula:
x/y = p/100
where x is the fraction, y is the total, and p is the percent
This means:
x = number of games the team won
y = total number of games
p = percent the number of teams won
Let's plug these values into the equation:
x/y = p/100
x/160 = 65/100
Solve by cross-multiplying:
x/160 = 65/100
100(x) = 100x
160(65) = 10,400
100x = 10,400
/100 /100
x = 104
Therefore, the team won 104 games.
Which algebraic expression represents this mathematical statement?
75 less than a number
O A. 75-n
O B. n-75
O C. n: 75
O D. n+ 75
Answer:
B
Step-by-step explanation:
Subtraction mean how much less than a number
The perimeter of a pentagon is 20t + 7.
Four sides have the following lengths:
6t, 2t, 4t – 5, and 5t + 1.
Answer:
3t+11
Step-by-step explanation:
A pentagon has 5 sides
Perimeter is the total measurement around an object=20t+7
we have not been given the 5th side measurement so lets make it x
6t +2t+4t-5+5t+1+x=20t+7
put the liketerm together i e
6t+2t+4t+5t-20t+x=7+5-1
17t-20t+x=11
-3t+x=11
x=11+3t.
So the measurements of the fifth side is 11+3t same as 3t+11
The proof that TriangleMNG ≅ TriangleKJG is shown.
Given: AngleN and AngleJ are right angles; NG ≅ JG
Prove: TriangleMNG ≅ TriangleKJG
What is the missing reason in the proof?
a) the reflexive property
b) ASA
c) AAS
d) the third angle theorem
Answer:
b) ASA
Step-by-step explanation:
If you were to look at both triangles the marked angles are rothe other same for the side and also the angle of G which connects both triangles together.
The missing reason in the question is option B which is ASA that is ANGLE SIDE ANGLE.
What are congruent triangles?Triangles are congruent when they have three corresponding sides and exactly the corresponding three angles are equal to other.
What are similar triangles?If two triangles can be superimposed on each other then it is said to be similar triangles.
How to check similarity between triangles?Two triangles are said to be similar if two angle and a side, one angle and two sides are equal to other.
If we look at the figure we found that both triangles the marked angles are same for the side and also the angle of G which connects both triangles together.
Hence the correct option for the problem is ASA (Angle Side Angle)
Learn more about congruent triangles at https://brainly.com/question/2938476
#SPJ2
What is the value of f(x) = 2.2 for f(-2)?
here is your ansewewrew
If today is not Thursday then tomorrow is not Wednesday
Answer:
Not sure what your choices are but.. assuming its finding these,
Inverse: If tomorrow is not Wednesday, then today is not Thursday.
Contrapositive: If Today is not Thursday, then tomorrow is not Wednesday.
Converse: If tomorrow is Wednesday, then today is Thursday.
Step-by-step explanation:
For a musical show, x children were present. There were 60 more adults than children. An adult paid N5 and a child N2.
If a total of N1294 was
collected, calculate the value
of x *
Answer:
142
Step-by-step explanation:
5*(x+60)+2*x=1294
5x+5*60+2x=1294
7x+300=1294
-300 -300
7x=994
x=994:7
x=142
142
Step-by-step explanation:
5(60+x) +2(x) = 1294
300+5x+2x= 1294
7x= 994
X= 142
Help ? What’s the answer ?
Answer:
D. - i
Step-by-step explanation:
i = √( - 1)
i³ = √( - 1)*√( - 1)*√( - 1) = √(-1)² *√(-1) = - 1*i = - i
can anybody help me on this please I will be giving 15 points..
Answer:
BC=[tex]\sqrt{95}[/tex]
Angle A (or BAC)=54.31466...
Angle C (or ACB)=35.68533...
Step-by-step explanation:
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}[/tex]
[tex]BC=\sqrt{12^2-7^2}[/tex]
[tex]\sqrt{12^2-7^2}=\sqrt{95}[/tex]
[tex]\frac{\sqrt{95}}{\sin \left(\angle \:BAC\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:BAC=54.31466[/tex]
[tex]\frac{7}{\sin \left(\angle \:ACB\right)}=\frac{12}{\sin \left(90\right)}\quad :\quad \angle \:ACB=35.68533[/tex]
Using the pythagorean theorem
[tex]AC^2=AB^2+BC^2\\BC=\sqrt{AC^2-AB^2}\\BC=\sqrt{12^2-7^2}\\BC=\sqrt{144-49}\\BC=\sqrt{95}[/tex]
[tex]sin A=\frac{BC}{AC}=\frac{\sqrt{95} }{12}\\A = sin^{-1}(\frac{\sqrt{95} }{12})\\A = 54.31[/tex]
[tex]A + C = 90\\C = 90-A\\C= 90- 54.31\\C = 35.69[/tex]
9.3 × 10^{7} - 3.4×10^{6} = ?
Answer:
8.96 x 10^7
Step-by-step explanation:
9.3 x 10000000 - 3.4 x 1000000 = 93000000-3400000 = 89600000
89600000 can also be written as 8.96 x 10^7
A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remaining eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?
46+w=231
w=185
# brown eggs (46) + # white eggs (w) = total # of eggs (231)
Answer:
231 - 46 = 185
Step-by-step explanation:
We know that the restaurant used 231 eggs last week. (That's a lot!)
That is out starting point. It doesn't change.
Then, it says 46 are brown eggs.
To find the number of white eggs, we know it must equal to 231 when added to the 46 brown eggs. Or, 46 + ? = 231.
So, we do the opposite operation of addition; subtraction.
Like this:
231 eggs - 46 brown = ? white eggs.
That equals 185 white eggs.
Keep up the EGGcellent work! ;)
-Bella,
BrainlyBluebell
Can someone please help me
Answer:jss needed point srry
Step-by-step explanation:
Can you please help
The perimeter of an isosceles triangle is 10 ¾ cm . If one of its equal side is 2 ¾ cm ,the third side IS, *
Answer:
4 cm
Step-by-step explanation:
Given is an isosceles triangle. Therefore it's two sides will have equal lengths.
Let the length remaining sides be x cm.
[tex]x + x + 2 \frac{3}{4} = 10 \frac{3}{4} \\ \\ 2x + \frac{11}{4} = \frac{43}{4} \\ \\ 2x = \frac{43}{4} - \frac{11}{4} \\ \\ 2x = \frac{32}{4} \\ \\ 2x = 8 \\ \\ x = \frac{8}{2} \\ \\ \huge \red{ \boxed{x = 4 \: cm \: }}[/tex]
Please help please :( I will really appreciate it thank you
Answer:
an Altitude
Step-by-step explanation:
Its altitude indicated by point A to line BC
Answer:
Im pretty sure that would be an altitude
Step-by-step explanation:
Helpppppp meeeee please URGENT
True or False
Answer:
false
Step-by-step explanation:
you cant have same size without congruent
[tex]x^{2}-5x-24=0[/tex]
Quadratic Formula
Please show every step
Answer:
[tex]x=8,\:x=-3[/tex]
Step-by-step explanation:
[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]
[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]
a.
If f(x) = 25 - xand g(x) = 5 - , which is the rule of function (8 + 9)(x)?
-x2 + x+ 20
5 + x
x? - 5x2 - 25x + 125
--X2 - x + 30
b.
C.
d.
Please select the best answer from the choices provided
Answer:
The answer is D.
Step-by-step explanation:
You have to add both functions together :
[tex]f(x) = 25 - {x}^{2} [/tex]
[tex]g(x) = 5 - x[/tex]
[tex](f + g)(x) = 25 - {x}^{2} + 5 - x[/tex]
[tex](f + g)(x) = 30 - {x}^{2} - x[/tex]
[tex](f + g)(x) = - {x}^{2} - x + 30[/tex]
According to the vertical line test, is the equation x=y^2 a function?
Answer:
No it is not a function
Step-by-step explanation:
EASY question for y’all mathy people. Easy points! Question in photo!
Answer:
B 1/7^2
D 7^-10 / 7^-8
Step-by-step explanation:
7^-2
We know that a^-2 = 1/a^2
1/7^2 = 1/49
We also know that anything with a power of 2 in the denominator is good
7^-8 / 7^-10 = 7^2
7^-10 / 7^-8 = 7^-2 = 1/7^2 = 1/69 that is the second answer
Answer:
Step-by-step explanation:
Answers C and D are correct.
Note that in C we have 7^(-8)
---------- ,
7^(-10)
which is equivalent to 7^(-8 + 10), or 7^2, or 49.
What number is the arrow point at?
Answer:
see below
Step-by-step explanation:
The lines in between 2 and 3 are splitting it up into 5ths and because the arrow is pointing to the fourth one the answer is [tex]2\frac{4}{5}[/tex].
What is the volume of a cone if the diameter is 5 and the height is 13?
Answer:
85.095cm³
Step-by-step explanation:
Volume of cone is ¹/³ πr ²h
volume = ¹/³ x 3.142 x (2.5)² x 13
volume = 85.095cm³
Sean is travelling. He has a flight of 4 hours 20 minutes, a stopover of 35 minutes and then another flight of 3.75 hours. What is his total travel time? Give your answer in hours and minutes.
Answer:
Th=8[tex]\frac{2}{3}[/tex]h Tmin=520min
Step-by-step explanation:
4h 20min = 13/3h = 260min
35min = 7/12h
3.75h = 15/4h = 225min
Total in min: 225+260+35=520min
Total in h: 520/60=52/6=8[tex]\frac{4}{6}[/tex]=8[tex]\frac{2}{3}[/tex]h