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Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )
(f - g)(x) = 3^x + 10 - 2x+4
(f - g)(x) = 3^x - 2x + (10+4)
(f - g)(x) = 3^x - 2x + 14
f(x)= (x - 1)^2+2
Graph the function and identify the axis is symmetry
Answer:
f(x)= (x - 1)^2+2 = 1
Step-by-step explanation:
Write F ( x ) = ( x − 1 ) 2 + 2 as an equation.
y=(x−1)2+2
Use the vertex form, y = a ( x − h )^2 + k , to determine the values of a , h , and k .
a = 1
h = 1
k = 2
Since the value of a is positive, the parabola opens up. Opens Up
Find the vertex ( h , k ) .
(1,2)
Find p , the distance from the vertex to the focus.
[tex]\frac{1}{4}[/tex]
( 1, [tex]\frac{9}{4}[/tex] )
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
x = 1
I hope this helps.
hi please can you answerrr
2x² + x + 15 = 0
Answer:
x=(-1+i√119)/4
AND
x=(-1-i√119)/4
Step-by-step explanation:
[tex]2x^{2} +x+15=0[/tex]
step1: identify a,b and c from the equation.
a=2
b=1
c=15
step2: use the quadratic formula.
[tex]x=\frac{-b+or- √b^{2}-4ac }{2a}[/tex]
(sub a,b and c)
[tex]x=\frac{-1+or- √1^{2}-4*2*15 }{2*2}[/tex]
(simplify)
[tex]x=\frac{-1+or-√-119}{4}[/tex]
(write the two possible answers)
[tex]x=-\frac{1+i√119}{4}[/tex]
AND
[tex]x=-\frac{1-i√119}{4}[/tex]
Will give brainliest. please help me. Select all that are equal to 6^4(6^-5). check all that apply.
A. 1/6^-1
B. 1/6
C. 6^-1
D. 1/6^1
E. 1/-6
Let's find 1/2 - 1/6. First, write the subtraction so the fractions have denominator . Then subtract. 1/2 - 1/6 = blank/6 - 1/6 blank/blank
Answer:
1/3 or 0.3 (repeating decimal)
Step-by-step explanation:
The subtraction the fractions gives 1/3.
What is a fraction?The fractions include two parts, numerator and denominator.
Numerator: It is the upper part of the fraction, that represents the sections of the fraction.
Denominator: It is the lower or bottom part that represents the total parts in which the fraction is divided.
Given that are two fractions 1/2 and 1/6, we need to subtract them,
Firstly, equating the denominators,
1/2 = 6/12
1/6 = 2/12
Therefore,
1/2 - 1/6 = 6/12 - 2/12
= (6-2)/12
= 4/12
= 1/3
Hence on subtracting the fractions we get 1/3.
Learn more about fractions click;
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what is 4x=8 proof reason
Answer:
x=2
Step-by-step explanation:
4x=8
/4 /4
divide both sides by 4
x=2
Answer:
x = 2
Step-by-step explanation:
divide both sides by 48÷4 = 2Solve the equation:
t+3/3 = 11
Answer:
t = 2
Step-by-step explanation:
3 times 3 = 9 and 11 minus 9 equals 2
can someone please help me with this question
Answer:6
Step-by-step explanation:
Which side of triangle XYZ is the longest. x=62, y=55, and z=63
Answer: XY should be the answer
Step-by-step explanation: A guess I took and got right
Kelsey went bowling. It cost her a one-time fee of $3.50 to rent shoes, and $6.50 per game she played. She does not want to spend more than $23.00. Write an inequality that could be used to determine how many games she can afford to play. Use "g" for the number of games. NO
SPACES.
$6.50g+$3.50=$23.00
What are the solutions to this equation?
x² – 108 = 13 Pleasee HELP ASAP
Answer:11
Step-by-step explanation:
x^2-108 =13
+108 +108
x^2=121
2√x= √121
x=11
Use the figure at the right for Exercises 1-4
1) Name a pair of vertical angles.
Name a pair of adjacent angles with vertex M.
3) Name a pair of adjacent angles with vertex S.
N
4) Name a linear pair.
Answer:
Use the figure at the right for Exercises 1-4
1) Name a pair of vertical angles.
Name a pair of adjacent angles with vertex M.
3) Name a pair of adjacent angles with vertex S.
N
4) Name a linear pair.
Step-by-step explanation:
please help
Solve the equation. 5( 3x - 2 ) - 7 = 23
X= 8/3 :)) hope this helps !
R is between Q and S.
If RS = 44.6 and SQ = 68.4, find QR.
Answer:
23.8. I think
Step-by-step explanation:
So we already have 2/3 parts of the line, so SQ-RS=QR=23.8. because 68.4 minus 44.6 equals 23.8. Hope this helps.
(+6) + (+4) + (+6) + (+5)
simplify
Write a quadratic function in standard form with zeros 1 and -10
Answer:
f(x)=x^2+9x-10
Step-by-step explanation:
Standard Form of Quadratic Function
The standard form of a quadratic function is:
[tex]f(x)=ax^2+bx+c[/tex]
where a,b, and c are constants.
The factored form of a quadratic equation is:
[tex]f(x)=a(x-\alpha)(x-\beta)[/tex]
Where [tex]\alpha[/tex] and [tex]\beta[/tex] are the roots or zeros of f, and a is constant.
We know the zeros of the function are 1 and -10. The function is:
[tex]f(x)=a(x-1)(x-(-10))[/tex]
[tex]f(x)=a(x-1)(x+10)[/tex]
Operating:
[tex]f(x)=a(x^2+10x-x-10)[/tex]
Joining like terms:
[tex]f(x)=a(x^2+9x-10)[/tex]
Since we are not given any more restrictions, we can choose the value of a=1, thus. the required function is:
[tex]\boxed{f(x)=x^2+9x-10}[/tex]
If x<0 and y=0 where is the point (x,y) located
Answer: Anywhere along the negative x axis
For example, the point could be (-1,0) or (-2,0)
All that matters is that x is negative and y = 0
Any point is on the x axis when y = 0
The negative portion of the x axis is to the left of the y axis.
due very soon but I can buy myself some time.
please at least explain how to do it and/or how to set it up.
also, ignore the empty set sign on 5 I realized it was probably wrong but didn't want to take another picture
Answer:
4) 16√3 in²
5) 63 cm²
Step-by-step explanation:
The formula to use in these cases is ...
A = (1/2)ab·sin(θ)
where a, b are the side lengths and θ is the angle between them.
It helps to know the trig functions of the "special" angles used here.
sin(120°) = sin(60°) = (√3)/2
cos(60°) = 1/2
sin(135°) = cos(45°) = (√2)/2
__
4) The external angle at the base is the supplement of 120°, so is 60°. Then the length of the missing segment between the end of the base and the right angle at h is ...
x = (8 in)cos(60°) = (8 in)(1/2) = 4 in
So, the bottom edge of the triangle is 12 in - 4 in = 8 in.
The area is ...
A = (1/2)(8 in)(8 in)sin(120°) = (1/2)64(√3)/2 in² = 16√3 in²
__
5) As in the previous problem, the difference between the given horizontal dimension and the base of the triangle is ...
x = (18 cm)cos(180°-135°) = 18(√2)/2 cm = 9√2 cm
Then the base of the triangle is ...
16√2 cm -9√2 cm = 7√2 cm
The area is then ...
A = (1/2)(18 cm)(7√2 cm)(√2)/2 = 63 cm²
geometry, i have other questions ill post in a minute but i need the answers aaa
Answer:
Angle 6 = 91 degrees
Step-by-step explanation:
There are several ways you could use to find angle 6.
You could either find angle 5 then 6, 2, then 6, or 4 then 6 as they can all be found using the given angle with different rules.
First, we can find angle 5 using the corresponding angles rule which states that angles in the same corresponding quadrant are equal. That is angles that are in the same corresponding 'section' in their groups of angles at both intersect points. E.g. Angle 5 and 89 are corresponding angles, therefore angle 5 is equal to 89.
From here we can find angle 6 by using the rule that states that angles on a straight line add to 180. Angle 6 and angle 5 make up a straight line together which we know is 180 degrees. Therefore 180 - angle 5 = angle 6
180 - 89 = 91
Angle 6 is 91 degrees.
We also could have done this by first finding angle 2, which in on a straight line with the given angle. Therefore 180 - 189 = angle 2
Angle 2 = 91
Then used the corresponding angle rule to find angle 6. Angle 2 = Angle 6
Angle 6 = 91.
The final way we could have found it is by finding angle 4 first. The opposite angles rule states that opposite angles sharing a vertex are equal. This means that 89 and Angle 4 are equal. From there we can use the co-interior rule which states that angles in the same 'section' between parallel lines are co-interior (Angle 4 and angle 6) and are equal.
Therefore angle 4 = angle 6
Angle 6 = 91
Sorry if this answer was a bit confusing, hope it helps!
Lee left to go to the mall at 4:27 pm he arrived at 5:08 pm how long did it take lee to go to the mall
Answer: 41 minutes
Step-by-step explanation: I just counted by 10s until I got to 57 then added 10 seconds to make it 5:07, added 1 and boom 41 minutes
The time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.
How to subtract the time?To subtract the time, follow the steps,
Write the minute and hours parts of the given time separately.Subtract the minutes together and hour together.If the part of minute in higher time value is small than the other, then borrow 60 minutes from the hour part.Lee left to go to the mall at 4:27 pm he arrived at 5:08 pm. Subtract time in the following way,
5 hours 08 minutes4 hours 27 minutesAs the 8 minute is shorter than 27 minute, thus borrow 60 minute from the hour and subtract 1 from the hour. Thus,
4 hours 68 minutes
- 4 hours 27 minutes
_________________
0 hours 41 minutes
_________________
Thus, the time taken by Lee to go to the mall, when he left to go to the mall at 4:27 pm he arrived at 5:08 pm, is 41 minutes.
Learn more about the subtraction of time here;
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HELP PLEASE!
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 3(x + 9)2(x - 93
A) 4, multiplicity 1; -9, multiplicity 3; 9, multiplicity 3
B)4, multiplicity 1; 9, multiplicity 1; -9, multiplicity 1
C)-9, multiplicity 3; 9, multiplicity 2
D)-9, multiplicity 2; 9, multiplicity 3
Dao receives an employee discount on the purchase of a new automobile. The automobile that he is interested in has a
sticker price of $18,560. If his discount is 18 percent, what is the price that Dao will pay?
O $3,340.80
$3,712.00
$12,992.00
$15,219.20
Answer: It’s $15,219.20
a.k.a D at least that’s what it says on mine
Step-by-step explanation:
Hope this helps and just answered question correct on edg so yea
what is 715 divided by 6
Answer:
119.166667
Step-by-step explanation:
Did math on calculator.
Answer:
119.166666667
Step-by-step explanation:
Kyle had cable television installed in his house. At the time of installation, there was an initial charge of $199 for the cable box and a setup fee of $49. There is a monthly charge of $79 for cable services. His total bill over a certain number of months, m, was $880. Choose an equation that represents the total costs of Kyle's cable installation and monthly charge. Then, choose the number of months he has had cable
Answer:
The equation is [tex]199+49+79m=880[/tex]
Kyle has had cable for 8 months.
Step-by-step explanation:
Let m denotes number of months cable services have been used.
Initial charge for the cable box = $199
Setup fee = $49
Monthly charges for cable services = $79
Also,
Total bill over a certain number of months, m = $880
Therefore,
[tex]199+49+79m=880[/tex]
Now solve the equation.
[tex]199+49+79m=880\\248+79m=880\\79m=632\\m=\frac{632}{79}\\ m=8[/tex]
That is Kyle has had cable for 8 months.
Please answer this...
Answer and Step-by-step explanation:
The equation would be y = 5x + 75
Now, plug in 1, 2, 6, and 12 for x (which represents the hours) and solve for y (which represents the price).
1 hour - $80
2 hours - $85
6 hours - $105
12 hours - $135
PLEASE HELP MEEEEEEEEE
Q7) ) Match each rectangular sequence with the oval nth term expression card. ( write the number of the formula against the letter of the sequence, eg: card F- card vi) *
The distance to the moon is 238,900 miles. How is this expressed in scientific notation?
a. .00238 X 10^5
b. 2.389 x 10^5
c. 2.3 X 105
d. 2.389 x 10-5
Answer:
Answer is b because scientific notation is a variable between 0-10 to the power of a number depending on how many digits it has.
A number from 1-10 in 238,900 miles is 2.389 so the base variable is 2.389. The decimal got moved from 238900. to the left. It moved 5 places.
It went like this;
1 left: 23890.0
2 left: 2389.00
3 left: 238.900
4 left: 23.8900
5 to the left: 2.38900
So the scientific notation is 2.389^5
What is the probability that 2 cards selected from a standard deck of 52 cards without replacement are both odd numbers?
Answer:
25/52, bcos there are 25 odd numbers from 1 to 52
A hiker walks 11 km due north from camp and then turns and walks 11 km due east. What is the angle of the displacement (on a straight line) of the
hiker from the camp?
Answer:
45°
Step-by-step explanation:
If you walk forwards, and make a 90° turn and walk the same amount, the angle will be half of 90, which is 45.
5 points
1.Mary has been saving her weekly allowance for the past 20 weeks. She
started with $100 and now has $300. Which equation can be used to find
the amount of money Mary receives for her weekly allowance? (7.10 A)
O A. 100 = 300 + 20%
B. 300 - 100x = 20
C.300 = 100 + 20x
D. 300 = 100 – 20x
ima go with B my dude good luck
Which of the following statements are true of a transversal?
It is a line.
It is parallel to other coplanar lines.
It intersects two or more coplanar lines.
It bisects line segments.
It can never be perpendicular to other lines.
Answer:
Intersects two or more coplanar lines
Step-by-step explanation:
In geometry, the transversal line is a line that passes through two separate lines on the same plane (coplanar) at 2 distinct points.
Answer:
A, C, and E
Explanation: