What are the zeros of f(x) = x2 - 8x+16?
O A. x= 4 only
B. x = -4 and x = 4
C. X=-2 and x = 8
D. x=-4 only
Answer:
x=4
Step-by-step explanation:
f(x) = x^2 - 8x+16
Set equal to zero
0 = x^2 -8x +16
Factor
what 2 numbers multiply to 16 and add to -8
-4*-4 = 16
-4+-4 = -8
0= (x-4)(x-4)
Using the zero product property
x-4 = 0 x-4 =0
x=4 x=4
This polygon is a Quadrilateral (4 sided figure). Based on the interior angle sum, find the value of x.
Answer:
Step-by-step explanation:
The total sum of interior angles of a quadilateral is 360°
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find the missing side.
Answer:
33.4
Step-by-step explanation:
tan50 = x/28
x =28tan50 = 33.3691 = 33.4 (nearest tenth)
Help Please I will
Mark brainliest
Answer:
-2
Step-by-step explanation:
The output of the chart and graph drops by 2 for every input.
Given three consecutive odd integers whose sum is 369, find the smallest of the three integers.
Answer:
Step-by-step explanation:
369 = x + (x+2) + (x+4)
369 = 3x + 6
363 = 3x
121 = x
now that we know that x = 121, we can solve the equation by plugging in the variable
369 = x + (x+2) + (x+4)
369 = 121 + 123 + 125
369 = 369
The smallest three integers are 121,123 and 125.
Let, the smallest odd integers be n
Then according to the given condition,
[tex]n+(n+2)+(n+4)=369\\3n+6=369\\3n=363\\n=121[/tex]
So, the numbers are,
[tex]n=121\\n+2=121+2=123\\n+4=121+4=125[/tex]
Learn More:https://brainly.com/question/2254193
At age 20, to save for retirement, Rebecca decides to deposit 80$ at the end of each month in an IRA that pays 6.2% compounded monthly. Use the formula for the value of an annuity.
A=P[(1+r/n)^nt-1]/(r/n)
How much money will be in the IRA when Rebecca retires?
How much interest will the IRA have gained?
Answer:
159319.26 I Don't know the interest
Solve 2x + 3y = C, for y
Answer:
y= [tex]\frac{c-2x}{3}[/tex]
Step-by-step explanation:
2x+3y=C
isolate y
3y=C-2x
y= [tex]\frac{c-2x}{3}[/tex]
given m||n, find the value of x
Step-by-step explanation:
3x+5+x-25=180°
4x=180°+20
x=50
Because m and n are parallel, we can use the supplementary angles theorem. This means that the two angles add up to equal 180°.
Knowing this, we can add the two angles together and they should equal 180:
(3x + 5) + (x - 25) = 180
4x - 20 = 160
4x = 160
x = 40
If needed, to find the angle measures, we can just plug in our x value to find the measures of the angles.
A function() is graphed
What is the slope of the function?
m
What is the intercept of the function?
Which equation represents the graph of the function?
Seena’s mother is 7 times as old as Seena. After 4 years
her mother will be 4 times as old as she will be then .Find
their present ages.
Seena’s mother is 4 times as old as Seena. After 5 years her mother will be 3 times as old as she will be then .Find their present ages.
Solution :✧ Let us assume :
Seena's age be x
Her mother's age be 4x
✧ After 5 years :
Seena's age = x + 5
Her mother's age = 4x + 5
✧ Ratio of age after 5 years :
Seena's mother = 3
Seena's ratio = 1
Hence, the equation is :
[tex] \looparrowright\frak{ \frac{4x + 5}{x + 5} = \frac{3}{1} }[/tex]
By cross multiplying we get
[tex] \looparrowright \frak{3(x + 5) = 4x + 5}[/tex]
[tex] \looparrowright \frak{3x + 15 = 4x + 5}[/tex]
[tex] \looparrowright \frak{x = 10}[/tex]
Hence, the ages are
Seena's age = x = 10 yrs
Her mother's age = 4x = 4 × 10 = 40 years
∴ Seena's age is 10 and her mother's is 40 respectively
there are nickels, dimes, and quarters in a piggy bank. altogether, the coins are worth $3.65. the number of dimes is three times greater than the number of nickels, and the number of quarters is one greater than double the number of nickels. how many quarters, nickels, and dimes are there?
This question is solved using a system of equations, and doing this, we get that: There are 9 quarters, 4 nickels and 12 dimes.
I am going to say that:
x is the number of nickels.
y is the number of dimes.
z is the number of quarters.
In all, they are worth $3.65.
A nickel is worth $0.05, a dime is worth $0.1 and a quarter is worth $0.25, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
Dimes: 3 times greater than nickels:
This means that:
[tex]y = 3x[/tex]
Quarters: One greater than double the number of nickels:
This means that:
[tex]z = 2x + 1[/tex]
Value of x:
We have y and z as function of x, so we can replace into the equation and find the value of x, so:
[tex]0.05x + 0.1y + 0.25z = 3.65[/tex]
[tex]0.05x + 0.1(3x) + 0.25(2x+1) = 3.65[/tex]
[tex]0.05x + 0.3x + 0.5x + 0.25 = 3.65[/tex]
[tex]0.85x = 3.4[/tex]
[tex]x = \frac{3.4}{0.85}[/tex]
[tex]x = 4[/tex]
y and z:
[tex]y = 3x = 3(4) = 12[/tex]
[tex]z = 2x + 1 = 2(4) + 1 = 9[/tex]
There are 9 quarters, 4 nickels and 12 dimes.
A similar question is found at https://brainly.com/question/17096268
If two natural numbers are n and (n+3) prove that the differences of their square is an even numbers
Answer and explanation:
Given two natural numbers n and n+3, we prove that the difference or their squares is even thus:
(n+3)²-(n)²= (n+3)(n+3)-(n)²
=n²+3n+3n+9-n²
=6n+9
Since the value of the difference of square of the natural numbers n and n+3 is in the form 6n+9, the difference is not an even number.
Solve the equation for all values of x.
- 2x(x − 8)(10x + 1) = 0
From deltamath.com
Answer:
x=0 x=8 x = -1/10
Step-by-step explanation:
- 2x(x − 8)(10x + 1) = 0
Using the zero product property
-2x =0 x-8 = 0 10x+1= 0
x= 0 x= 8 10x = -1
x=0 x=8 x = -1/10
What is an equation for this graph?
Answer:
sinx
Step-by-step explanation:
the shape of the graph shows a sine graph, which is usually denoted by asinbx+c
a is amplitude/2 = 2/2 = 1
b is the period, 360 = 360/b, b=1
since the graph starts at (0,0), c =0
hence, this graph is 1sin1x = sinx
The equation is y = sin(x)
Consider the equation 5(10)^(z/4)=32 Solve the equation for z, express the solution as a logarithm in base-10
Answer:
[tex]\displaystyle z = 4\, \log_{10} \left(\frac{32}{5}\right)[/tex].
Step-by-step explanation:
Multiply both sides by [tex](1/5)[/tex] and simplify:
[tex]\displaystyle \frac{1}{5} \times 5\, (10)^{z/4} = \frac{1}{5} \times 32[/tex].
[tex]\displaystyle (10)^{z/4} = \frac{32}{5}[/tex].
Take the base-[tex]10[/tex] logarithm of both sides:
[tex]\displaystyle \log_{10}\left(10^{z/4}\right) = \log_{10} \left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle \frac{z}{4} = \log_{10}\left(\frac{32}{5}\right)[/tex].
[tex]\displaystyle z = \log_{10}\left(\frac{32}{5}\right)[/tex].
GEOEMTRY- PLEASE HELP , solve for x
Answer:
[tex]17x-23=1/2\times81[/tex]
[tex]17x-23=40.5[/tex]
[tex]17x=40.5+23[/tex]
[tex]17x=63.5[/tex]
[tex]x=63.5/17[/tex]
[tex]x=3.73[/tex]
OAmalOHopeO
prove that...sin^4α+sin^2αcos^2α=sin^2α
Answer:
Note that LHS means left-hand side and RHS means right-hand side.
Step-by-step explanation:
LHS = sin⁴a + sin²a cos²a
= sin²a (sin²a + cos²a)
At this point, you can use the identity sin²a + cos²a = 1,
= sin²a (1)
= sin²a
= RHS (Proved)
Answer:
Step-by-step explanation:
[tex]\Large \boldsymbol{} \sin^4a+\sin^2a \cos^2a=\sin^2a \\\\\sin^2a(\underbrace{\sin^2a+\cos^2a}_1) =\sin^2a \\\\\sin^2a\cdot 1=\sin^2a \\\\\sin^2a=\sin^2a[/tex]
what is the volume of the triangular prism
Answer:
308 cm³Step-by-step explanation:
The volume is:
V = Bl = 1/2(ah)lV = 1/2(7*8)*11 = 308 cm³[tex]\\ \rm\Rrightarrow Volume=Area\:of\;base(Height)[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}Base\times Height \times Height\:of\;Prism[/tex]
[tex]\\ \rm\Rrightarrow Volume=\dfrac{1}{2}(8)(7)(11[/tex]
[tex]\\ \rm\Rrightarrow Volume=4(7)(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=28(11)[/tex]
[tex]\\ \rm\Rrightarrow Volume=308cm^3[/tex]
SOMEONE HELP ME PLEASE
Find the product using suitable property: a.46*102 b.55*1004
Answer:
please
Step-by-step explanation:
follow me
please
please
please
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
If you get it right, you are a critical thinker. You were in the garden, there are 34 people in the yard. You kill 30. How many people are in the garden?
Which equation represents a line which is parallel to the line 7y-x=-56
y=-1/7+1
y=1/7x-1
y=7x-4
y=-7x-2
Answer:
The parallel line is y = 1/7 x - 1
hope this helps!
Help anyone can help me do this question,I will mark brainlest.
Answer:
but what to do in do I have to find the area of the particular Region or a length of that
Select the correct answer from each drop-down menu.
CD is perpendicular to AB and passes through point 95, 12).
If the coordinates of A and B are (-10, -3) and (7,14), respectively, the x-intercept of CĐ is (blank). The point
(Blank) lies on CD.
Answer:
Hello! the answer is CD is 17,0 (-2,19)
Evaluate x^4 • x^-1 when x = 4
Answer:
64
Step-by-step explanation:
4^4*4^-1
4^4*1/4
256*1/4
256/4
64
What is the value of |6x| - |- 2y| if x = - 3 and y= 5?
Answer:
8
Step-by-step explanation:
|6x| - |- 2y|
Let x = -3 and y = 5
|6*-3| - |- 2*5|
|-18| - |-10|
Taking the absolute values
18 - 10
8
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
Y equals 1/3 X +5 through (two, one)
Answer:
No solution
Step-by-step explanation:
1 = 1/3(2) + 5
1 = 17/3
Therefore no solution as 1 is not equal to 17/3
Which dimensions cannot create a
triangle?
• three angles measuring 25° 65°, and 90°
• three angles measuring 50°, 30°, and 100°
• three sides measuring 5 in., 12 in., and 13 in.
• three sides measuring 4 ft, 8 ft, and 14 ft
Answer:
three angles measuring 50°, 50°, 50° because they would add up to 150°. a triangles angles can only add up to 180°
Step-by-step explanation:
Answer:
three sides measuring 4 ft, 8 ft, and 14 ft
Step-by-step explanation:
The sum of the 3 angles of a triangle add to 180
three angles measuring 25° 65°, and 90° 25+65+90 =180
• three angles measuring 50°, 30°, and 100°50+30 +100 = 180
The sides of a triangle a<b<c (a+b) >c
• three sides measuring 5 in., 12 in., and 13 in.
(5+12)>13 true
• three sides measuring 4 ft, 8 ft, and 14 ft
(4+8) >14 false
