Answer:
The options are not given, so I will answer in a general way:
A quadratic equation can be written, in general form, as:
y = a*x^2 + b*x + c
Then if we want this, we need to replace:
a = 1
b = -3
c = -5
Then the equation that we want is:
y = x^2 - 3*x - 5
Is likely that the options are in the factorized way to write a quadratic equation (so it is kinda harder to you)
Such that the factorized way is written as:
y = (x - k)*(x - h)
where k and h are the roots of the quadratic equation.
So you just need to expand that expression and find the one that looks like:
y = x^2 - 3*x - 5
Just to be complete, let's find the factorized form of this particular quadratic equation.
The roots are given by:
0 = x^2 - 3*x - 5
And the two solutions are given by Bhaskara's formula:
[tex]x = \frac{-(-3) \pm \sqrt{(-3)^2 - 4*1*(-5)} }{2*1} = \frac{3 \pm 5.39}{2}[/tex]
The two roots are:
h = (3 + 5.39)/2 = 4.195
k = (3 - 5.39)/2 = -1.195
Then the factorized form is:
y = (x - 4.195)*(x + 1.195)
Solve the expression below: 3(x-3) + 2x(4x+6)=
SOMEONE PLEASE EXPLAIN THIS TO ME. IVE GOTTEN THIS WRONT 3 TIMES AND I DONT KNOW WHAT IM DOING WRONG
Answer:
I believe the answer is 58.1 degrees
Step-by-step explanation:
acrsin 45/53=58.1
45/53 is the sin of P
Find the measures of ZX and ZY.
Z
Х
P
1649
V
102°
w
o
mZX=
o
mZY=
Answer: 303
Step-by-step explanation:
The mean age of the employees at a large corporation is 35.2 years, and the standard deviation is 9.5 years. A random sample of 4 employees will be selected. What are the mean and standard deviation of the sampling distribution of the sample mean for samples of size 4
Answer:
35.2 ; 4.75
Step-by-step explanation:
Given that :
Mean age, μ = 35.2 years
Standard deviation, σ = 9.5 years
The mean of the sampling distribution will be equal to the population mean, μ, this is according to the central limit theorem.
The standard deviation of the sampling distribution, is given by : σ/√n
n = sample size = 4
SD of sampling distribution = 9.5/√4 = 9.5 / 2 = 4.75
Find the volume of the figure. Use 3.14 for Pi
Answer:
The answer would be 17
Step-by-step explanation:
The answer would be 17 because if you add 12 plus 5 That would be your answer
$3840 with a discount of 10%
Answer: 384
Step-by-step explanation: 10% also equals 0.1 so, 3840*0.1 = 384.
Answer:
$3840
Step-by-step explanation:
10%= x/10 and the x is equal to 3840. 3840/10=384 now that I know what %10 of 3840 I can take off the discount price onto the original price, 3840-384=3456. So 3456 is the final price after including the 10% discount.
Sam is using the expression m/8n in class. what is the value of the expression when m = 4 and n = 1/2?
Answer:
1
Step-by-step explanation:
m/8n > 4/8(1/2) ( since its 1/2 all u need to do is change the fraction to whole number which is 1/2 = 0.5)
The given will become 4/4 then simplest form is 1
please help and show work
9514 1404 393
Answer:
5. x° = 38°; b° = 90°
6. m∠TSU = 110°
Step-by-step explanation:
The relationship relevant to these problems is that an inscribed angle is half the measure of the arc it intercepts. That is also true of the angle formed by a chord and a tangent.
__
5. Angle x° intercepts an arc marked 76°, so is half its measure: 76°/2 = 38°
x° = 38°
Arc b° is intercepted by an inscribed angle of 45°, so is twice that measure.
b° = 90°
__
6. Long arc SU is the remaining portion of the circle after short arc SVU is subtracted:
long arc SU = 360° -140° = 220°
Angle TSU is half that measure: 220°/2 = 110°.
m∠TSU = 110°
A chipmunk population is experiencing exponential growth with a population growth rate of 265 individuals/year, and a per capita rate of increase of 0.15. How many chipmunks are currently in this population
Answer:
There are 1766 chipmunks in the population
Step-by-step explanation:
Number of individuals increasing per year = 265
Rate of increase = 0.15
Rate of increase = increase in number of individuals in a given population /total population
Substituting the given values, we get -
0.15 = (265/total population)
Total population = 265/0.15 = 1766
PLEASE HELP!!!!!!!!!!!!!!!
Solve the following inequality. Show all work.
−4 + 2 ≥ 20
Answer:
The answer is -2 ≥ 20
Step-by-step explanation:
You add -4 and 2
12 1/2-(4 1/2) = ? I really need help
Answer:
8
Step-by-step explanation:
So we have 12 1/2 - (-4 1/2)
6-(-2)
6+2
8
[tex] \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]
____________________Solution :-Given Information :-Fraction 1 ➢ [tex] \sf12 \frac{1}{2} [/tex]Fraction 2 ➢ [tex] \sf -4 \frac{1}{2} [/tex]Operation ➢ Subtraction To Find :-The difference between two fractionsCalculation :-[tex] \sf: \implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \boxed{ ? }[/tex]
Firstly, converting mixed fractions to improper fractions, We get,
[tex] \sf: \implies \frac{25}{2} - ( - \frac{9}{2} ) = \boxed?[/tex]
Now, solving the parentheses, We get,
[tex] \sf: \implies \frac{25}{2} + \frac{9}{2} = \boxed ?[/tex]
Since, We have like terms, We will directly add up the two fractions, We get,
[tex] \sf: \implies \frac{25 + 9}{2} = \boxed?[/tex]
Calculating further, We get,
[tex] \sf: \implies \frac{34}{2} = \boxed?[/tex]
Bringing the fraction to it's lowest terms, We get,
[tex] \sf: \implies \frac{ \cancel{34} \: \: \tiny{7}}{ \cancel2} = \boxed7[/tex]
[tex] \sf :\implies \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{ \bf7 }}[/tex]
____________________Final Answer :-[tex] \sf \sf12 \frac{1}{2} - ( - 4 \frac{1}{2} ) = \red{ \boxed{\bf7 }}[/tex]____________________Please help I have a test tomorow and I just want to know if I'm correct on my answer I got x=2p on question 11,D
Answer:
Yea you correct, you answer is right
I NEED HELP FAST! I NEED THESE MATH SHEETS CHECKED OVER ( will be given brainly )
there is one additional problem and it is r^10s^6/r^-5s^9
Answer:
The answer is r^10s^6/r-5s^9= r^10/r-^5 = r^15
Step-by-step explanation:
the answer is r^15
Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 4 kilometers, and the eastbound car has traveled 3 kilometers. Measured in a straight line, how far apart are the two cars?
Answer:
The distance between them is 5km
Step-by-step explanation:
Given
[tex]Car\ A =4km[/tex]
[tex]Car\ B =3km[/tex]
Required
Distance between them
The scenario can be represented with the attached image
The distance between them is then calculated using Pythagoras theorem
[tex]d^2 = 4^2 +3^2[/tex]
[tex]d^2 = 16 +9[/tex]
[tex]d^2 = 25[/tex]
Take square roots of both sides
[tex]d = \sqrt{25[/tex]
[tex]d = 5[/tex]
Please help. Find the two missing sides and write your answer as in simplified radical form.
Answer:
x and y = 5√2.
Step-by-step explanation:
This is a 45:45:90 triangle so length of x = length of y.
In this triangle the ratio of the sides is 1:1:√2
Finding length of x and y:
1/√2 = x/10
√2x = 10
x = 10/√2
= 10√2/2
= 5√2.
help me with this please
Step-by-step explanation:
y = -4x + 17
=> (4,1)
x=4 --> y = -4(4)+17=-16+17=1
(4,1) matched
=> (2,9)
x=2 --> y=-4(2)+17=-8+17=9
(2,9) matched
A 70 cm long stick is cut into two parts in such a way that the longer part is 20 cm longer than the shorter part. How long is each part?
Answer:
Long part= 45
Short part= 25
Step-by-step explanation:
Let the short part of the stick be x
Let the long part be x+20
The total length of the stick is 70cm
x + (x+20)= 70
x+x+20= 70
2x+20= 70
2x= 70-20
2x= 50
x= 50/2
= 25
Longer part length= 20+25
= 45
The short part is 25
Is someone smarten than me plz
Answer:
11.70
Step-by-step explanation:
d=√((16-5)^2+(14-10)^2)=11.7046999...
Two points A and B on a plan represent two localities 12 m apart. Given that the segment AB is 6cn long, find the scale used to draw the plan.
Answer:
The scale is 1:200
Step-by-step explanation:
On the plan we have the drawing as 6 cm
In real representation, we have the distance as 12 m
Firstly we have to convert to same unit
In this case, we use the cm for convenience
Mathematically, 100 cm is 1 m
Thus, 12 m
will be 12 * 100 = 1,200 cm
So, we have the ratio as;
6 cm : 1,200 cm
and that is 1:200 (since 6/1200 = 1/200 and in ratio form, we have that as 1:200)
find the value of x pls help
Answer:
x = 16
Step-by-step explanation:
*A triangle's interior angles always add up to 180 degrees*
1. The square on the left-hand side means 90 degrees
2. To find the degrees on the 150 degrees side we need to subtract 180 from 150 as the line it's on equals 180 degrees
180 -151 = 29
3. Now we know 3 out of the two angles, so if we add them up and subtract them from 180 degrees we will have the 3rd angle
29 +90 = 119
180 - 119 = 61
4. Now we can put that in with the equation
4x + 3 = 61
5. Solve
4x - 3 = 61
+ 3 +3
4x = 64
/4 /4
x = 16
The length of 12cm and 5 cm missing one
Answer:
13cm
Step-by-step explanation:
Let the given lengths be the opposte amd adjacent sides of a right triangle'
The missing side will be the hypotenuse
Using the pythagoras theorem;
hyp^2 = 5² + 12²
hyp² = 25 + 144
hyp² = 169
hyp =√169
hyp = 13cm
Hence the missing one is 13cm
help no files and no links pls help
Answer:
X would be equal to 37 degrees
Step-by-step explanation:
Answer:
x=37
Step-by-step explanation:
118+25+x= 180
143 + x = 180
= 37
check answer by 25+118+37=180
what is the variable if 13 and p
Answer:
p because variables are shown by letters not numbers
Hope this helped:)
Step-by-step explanation:
5/8+3/4 over this problem(/) -2/3-5/6.
Answer:
5/8 + 3/4= 11/8
-2/3-5/6 =-3/2
Since the second is dividing the first
11/8 ÷ -3/2
Flipping; Then change the bottom to the top(Do this to the second fraction)
11/8 x -2/3
=-11/12.
A silo has a cylindrical part and a roof that is a hemisphere.
The radius of the cylinder is 3m and its height is 12m.
Find the volume of the silo.
Answer:
339.29
Step-by-step explanation:
Use formula for cylinder: [tex]V=\pi r^2h[/tex].
Note: I rounded to the nearest hundreth.
help!! need this turned in by today!
Bob the Wizard makes magical brooms. He charges 125 gold pieces for each magical broom he makes for
his customers. He also charges a one-time fee of 50 gold pieces for his initial consultation.
The total number G of gold pieces Bob charges is a function of 2, the number of magical brooms he makes
Write the function's formula.
G =
Answer:
G = 50
Step-by-step explanation:
50 is the initial after-cost, right?
answer is : The function formula will be
Since we have given that
Charges per each magical broom he makes for his customers = 125 gold pieces
Charges of one time fees = 50 gold pieces
Let the number of magical brooms he makes be 'x'.
Let the total number of gold pieces be 'G'.
According to question, it becomes
Step-by-step explanation:Since we have given that
Charges per each magical broom he makes for his customers = 125 gold pieces
Charges of one time fees = 50 gold pieces
Let the number of magical brooms he makes be 'x'.
Let the total number of gold pieces be 'G'.
According to question, it becomes
Since we have given that
Charges per each magical broom he makes for his customers = 125 gold pieces
Charges of one time fees = 50 gold pieces
Let the number of magical brooms he makes be 'x'.
Let the total number of gold pieces be 'G'.
According to question, it becomes
If the principal is $4,500 and the rate of interest is 8%, what is the amount of interest after one year? Formula is I =PRT
Step-by-step explanation:
I=?
P= $4500
R=8%=0.08
T=1 year
8%*0.01= 0.08
I=(4500)(0.08)(1)
(4500)(0.08)=360
360*1=360
The interest after one year is $360
Rachel has 132 baseball card his brother has 5/6 as many baseball card how many baseball card does his brother have
Answer:
110
Step-by-step explanation:
5/6 of 132 is 110
HELP PLEASE! I NEEDED IT! T0T
Applying the 45-45-90 Theorem, Find the lengths of the other two sides of a right triangle if the length of the hypotenuse is 4√2 inches and one of the angles is 45°.
Rule: If x is the leg of a 45-45-90 triangle, then x*sqrt(2) is the hypotenuse.
We can prove this by showing that x^2+x^2 = (x*sqrt(2))^2 is an identity. It's from the pythagorean theorem a^2+b^2 = c^2.
Put another way, if we know that a = x and b = x are the two congruent legs, then x^2+x^2 = c^2 leads to c = x*sqrt(2). This triangle is known as an isosceles right triangle.
So if 4*sqrt(2) is the hypotenuse, we match that up with the template x*sqrt(2) and see that x = 4 must be the case.
Who could help me please and thank you
Answer:
( Hint)
Step-by-step explanation:
55-5= 5x>-25-5
50= 5x>-30
10=x>-6