Answer:
x = 16
Step-by-step explanation:
Get x alone on one side.
-4 + x = 12
(-4 + x) + 4 = 12 + 4
x = 16
if f(x)=3x^2+1 and g(x)=1-x, what is the vaue of (f-g)(2)?
[•12 •14 •36 •38]
Step-by-step explanation:
(f-g)(x) = f(x) - g(x).
When x = 2, f(2) - g(2) = 3(2)^2 + 1 - (1 - 2) = 12 + 1 + 1 = 14.
Jon borrows $4.50 from his friends to pay for snacks, and $13.65 from his sister to go to the movies. How much money does he reed to repay?
Answer:
$18.15
Step-by-step explanation:
4(2x-1)=3x+5-x do y’all know the answer ?
Answer:
Step-by-step explanation:
4(2x-1)=3x+5-x
8x-4=3x+5-x
8x-4=2x+5
6x-4=5
6x=9
x=3/2
Answer: x=1.3
Explanation: Just simplify the equation so there is a variable on one side and a number on the other.
please i need help like right now
The question i’m asking is if you can help me get 2 equations that if you type on a graph you will get the point (2,5)
Answer: The equations are y = 4x-3 and y= 3x -1
Step-by-step explanation:
So lets say both equations will have positive slopes. Using that, we can input any slope and solve for the y intercept using the coordinates.We will use the formula, y=mx + b where m is the slope and b is the y-intercept
Let's say the slope is 3.
5 = 3(2) + b
5= 6 + b
-6 -6
b= -1
We can now come up with the equation, y= 3x -1
We need to find another equation that will intersect with it at the point (2,5)
For lines to intersect, they need to have different slopes and different y-intercepts.
We need to come up with a new slope, the slope of the second equation could be 4. Now using the formula, use the coordinates so solve for the y intercept.
5= 4(2) + b
5 = 8 + b
-8 -8
b = -3
The equation will be y = 4x -3
We now have the equations y=4x -3 and y = 3x -1
To find that their solution is (2,5) substitute one of the y-values into the other and solve for x then solve for y.
4x -3 = 3x -1
+3 +3
4x = 3x + +2
-3x -3x
1x = 2
x = 2
We know now that the value of x is true because the value of x is 2.Input it into one of the equations and solve for y.
y = 4(2) - 3
y = 8-3
y = 5
The solution is indeed (2,5) .
q(x) = 2x+5
f(x)= x^2+1
find (gof)(7)
Answer:105
Step-by-step explanation:
first find f(7)
(7)^2 + 1
=50
then put the answer for f(7) in g of x
2(50) + 5
=105
There are not asymptotes for the parent function
f (x) =1/x
True
False
Answer:
True
Step-by-step explanation:
the parent function f(x) = 1/x has a vertical asymptote at x = 0 and a horizontal asymptote at y = 0
Red pencils cost 3 for 10¢. Blue pencils cost 5¢ each. Green pencils cost 2 for 5¢. If you can purchase any color you wish, what is the greatest number of pencils you can you can buy for 50¢?
Answer: 20 green pencils
Step-by-step explanation:
given data:
cost of red pencils = 3 for 10¢.
cost of green pencils = 2 for 5¢.
cost of blue pencils = 5¢/each.
Greatest number of pencils one can buy for 50¢ By choosi any color is 20pencils which is green
red pencils 50¢ = 15 pencils
green pencils 50¢ = 20 pencils
blue pencils 50¢ = 10 pencils
Answer:
20
Step-by-step explanation:
solve for n. n-5•2/3=3/4
Exact form is N=49/12 mixed number form is N=4 1/12
Step-by-step explanation:you have to simplify both sides and then isolate the variable.
Answer:
n=49/12 or 4 1/12
Step-by-step explanation:
n-5•2/3=3/4
n-10/3=3/4
n=3/4+10/3
n=49/12 or 4 1/12
the sum of a number and -43 is 102.what is the number
Answer: 145
Step-by-step explanation:
Answer: 145
Step by step explanation:
PLEASE HELP!!!!There is an 80% chance of rain. The tennis team has a 75% chance of winning if it doesn't rain and only a 35% chance of winning if it does rain. Make a tree diagram with the following probabilities. ~Will mark brain
Answer:
00304761
Step-by-step explanation:
Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
Answer:
[tex]x = 7[/tex]
Step-by-step explanation:
Given
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Required
Solve for x
[tex]\frac{4}{3}x - \frac{1}{3} = 9[/tex]
Add [tex]\frac{1}{3}[/tex] to both sides
[tex]\frac{4}{3}x - \frac{1}{3} + \frac{1}{3} = 9 + \frac{1}{3}[/tex]
[tex]\frac{4}{3}x = 9 + \frac{1}{3}[/tex]
Take LCM
[tex]\frac{4}{3}x = \frac{27 + 1}{3}[/tex]
[tex]\frac{4}{3}x = \frac{28}{3}[/tex]
Multiply both sides by [tex]\frac{3}{4}[/tex]
[tex]\frac{3}{4} * \frac{4}{3}x = \frac{3}{4} *\frac{28}{3}[/tex]
Evaluate the left hand side
[tex]x = \frac{3}{4} *\frac{28}{3}[/tex]
[tex]x = \frac{28}{4}[/tex]
Divide 28 by 4
[tex]x = 7[/tex]
Answer:
x=7 we are both correct
Step-by-step explanation:
Solve this equation. 2(3x+5)=4(2x-3)
Answer:
x = 11Step-by-step explanation:
2(3x+5) = 4(2x - 3)
First expand the terms
That's
6x + 10 = 8x - 12
6x - 8x + 10 = - 12
- 2x + 10 = - 12
Subtract 10 from both sides
That's
- 2x + 10 - 10 = - 12 - 10
- 2x = - 22
Divide both sides by - 2
We have the final answer as
x = 11Hope this helps you
Simplify (6-2)(33)(3-6)
Answer:
-396
Step-by-step explanation:
Plug it into a calculator
4 x 33 = 132
132 x -3 = -396
4 x 33 x -3= 132 x -3= -396
What is being constructed based in the markings in the following diagram?
Answer:
Perpendicular line through a point off a line
Step-by-step explanation:
Based on the markings in the diagram, we have;
Marking points E and F along AB extended forms two points equidistant from the point C on the line AB
Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.
Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB
Hence the correct option is the construction of a perpendicular line through a point off a line.
Answer:
C. Perpendicular line through a point off a line (its off not on) Took the test and got it right
Step-by-step explanation:
Help me solve this Question thanks
Answer:
C
Step-by-step explanation:
Given
[tex]\frac{-m}{2}[/tex] - [tex]\frac{5}{4}[/tex] ≤ [tex]\frac{5m}{12}[/tex] - [tex]\frac{7}{6}[/tex]
Multiply through by 12 to clear the fractions
- 6m - 15 ≤ 5m - 14 ( subtract 5m from both sides )
- 11m - 15 ≤ - 14 ( add 15 to both sides )
- 11m ≤ 1
Divide both sides by - 11, reversing the symbol as a result of dividing by a negative quantity
m ≥ - [tex]\frac{1}{11}[/tex] → C
which of the following expression, when evaluated, equals an irrational number ?
Answer:
the answer for number 38 is H
While hiking Mr.Condo burns 402 calories in 6 hours. how many calories does he burn in 60 minutes
Show that each function is a quadratic function by writing it in the form
f(x) = ax² + bx+c and Identify a, b, and c.
1. h(x) = 2(x + 1)(3x – 4)
Answer:
h(x) = 2x² - 2x - 8
Step-by-step explanation:
Step 1: Write out equation
h(x) = 2(x + 1)(3x - 4)
Step 2: FOIL
h(x) = 2(x² - 4x + 3x - 4)
Step 3: Combine like terms (x)
h(x) = 2(x² - x - 4)
Step 4: Distribute
h(x) = 2x² - 2x - 8
HAS TO BE DONE BY TOMORROW - A positive integer is called snakelike if its digits alternately increase and decrease or vice versa. For example, 130 and 91727 are snakelike. However 123 is not snakelike (2 is greater than 1 but not 3) and 91727 is not snakelike (7 is greater than 1 but not 7) A) How many 4-digit snakelike numbers contain each of the digit 1,2,3,4 exactly once B) How many 3-Digit snakelike numbers have 6 as their middle digit C) a 7-digit snakelike number starts with digit 9. Explain why it last digit cannot be 0
Answer:
A)
The simplest way to solve A is by checking 1st digit one-by-one.
selecting 1 as 1st digit, we have 2 ways
1324 and 1423
selecting 2 as 1st digit, we have 3 ways
2143, 2314, and 2413
selecting 3 as 1st digit, we have 3 ways
3142, 3241, and 3412
selecting 4 as 1st digit, we have 2 ways
4132 and 4231
=> 2 +3 + 3 + 2 = 10 ways in total.
B)
Use the same strategy as A)
selecting 1st digit that is greater than 6, there are 3 digits: {9, 8, 7}
selecting 9 as 1st digit => 967, 968
selecting 8 as 1st digit => 867, 869
selecting 7 as 1st digit => 768, 769
=> 3 x 2 = 6 ways
selecting 1st digit that is smaller than 6, there are 5 digits: {5, 4, 3, 2, 1}
selecting 5 as 1st digit => 565, 564, 563, 562, 561, 560
similarly, selecting 4, 3, 2, 1, there are 6 ways to select that last digit
=> 5 x 6 = 30 ways
=> 30 + 6 = 36 ways in total
C)
a 7-digit snakelike number starts with digit 9 (the largest digit)
=> 2nd digit is smaller than 9
=> 3rd digit is larger than 2nd digit
=> 4th digit is smaller than 3rd digit
=> 5th digit is larger than 4th digit
=> 6th digit is smaller than 5th digit
=> 7th digit is larger than 6th digit (this is impossible because 0 is smallest digit)
63001 square root by division method
Answer:
this is a correct answer
5(x+7)=10
Ghggggggggggggggg
Answer:
x=-5
Step-by-step explanation:
x=10/5 - 7
x=2-7
x=-5
Help me do this please
Answer:
r = - 2
Step-by-step explanation:
Use the slope formula to find m then equate to - 1
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (6, r) and (x₂, y₂ ) = (9, - 5)
m = [tex]\frac{-5-r}{9-6}[/tex] = [tex]\frac{-5-r}{3}[/tex] = - 1 ( multiply both sides by 3 )
- 5 - r = - 3 ( add 5 to both sides )
- r = 2 ( multiply both sides by - 1 )
r = - 2
evaluate f(g(5)) if F (x) = 5x + 2 and g (x) =X2 -4
Answer:
Step-by-step explanation:
g(5) = 5^2 - 4 = 25 - 4 = 21
f(21) = 5(21) + 2 = 105 + 2 = 107
Using the remainder theorem, which quotient has a remainder of 20?
OA (3r4 – 573 + 5x + 2) = (x - 2)
O B. (3r3 + 702 + 5x + 2) = (x - 2)
Oc. (13 + 5x2 4r + 6) = (x + 5)
OD. (74 – 812 + 16) = (x + 4)
Answer:
The answer is A. (3x^4-5x^3+5x+2) =(x-2)
Step-by-step explanation:
we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
What is the remainder theorem?The remainder theorem states that when a polynomial p(x) is divided by
(x - a), then the remainder = f(a).
We have,
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2) ____(1)
We can directly find the remainder as:
x - 2 = 0
x = 2
Putting x = 2 in (1) we get,
= 3 x 16 - 5 x 8 + 5 x 2 + 2
= 48 - 40 + 10 + 2
= 20
The remainder is 20.
(3x³ + 7x² + 5x + 2) ÷ (x - 2) ) _______(2)
x - 2 = 0
x = 2
Putting x = 2 in (2) we get,
= 3 x 8 + 7 x 4 + 5 x 2 + 2
= 24 + 28 + 10 + 2
= 64
The remainder is 64.
(x³ + 5x² - 4x + 6) ÷ (x + 5) ______(3)
x + 5 = 0
x = -5
Putting x = -5 in (3) we get,
= - 125 + 5 x 25 - 4 x (-5) + 6
= -125 + 125 + 20 + 6
= 20 + 6
= 26
The remainder is 26.
([tex]x^{4}[/tex] - 8x² + 16) ÷ (x + 4) _______(4)
x + 4 = 0
x = -4
Putting x = -4 in (4) we get,
= 256 - 8 x 16 + 16
= 256 - 128 + 16
= 144
The remainder is 144.
Thus we see that the polynomial that gives the remainder as 20 is
(3[tex]x^{4}[/tex] - 5x³ + 5x + 2) ÷ (x - 2)
Option A is our correct answer.
Learn more about the remainder theorem here:
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what is the simplified value of the expression -2.6+5.8
Answer:
[See Below]
Step-by-step explanation:
✦ Solve:
✧ -2.6 + 5.8 = 3.2
✦ Sometimes in math simplify could mean just solve and get the smallest version of that number. That's what it means in this case. So the simplified version would be 3.2.
~Hope this helps Mate. Feel free to message me if you need anything.
Which sequences are arithmetic? Select three options.
–8.6, –5.0, –1.4, 2.2, 5.8, …
2, –2.2, 2.42, –2.662, 2.9282, …
5, 1, –3, –7, –11, …
–3, 3, 9, 15, 21, …
–6.2, –3.1, –1.55, –0.775, –0.3875, …
Answer:
it should be 2nd option, 3rd, and 5th.
Step-by-step explanation:
From the given options
options I, III and IV are Arithmetic sequences.
Given :
we are given with sequences. we need to check which one is arithmetic sequence.
A sequence is arithmetic when the consecutive terms have common difference.
Lets check one by one
[tex]-8.6, -5.0, -1.4, 2.2, 5.8,......\\-5-(-8.6)=3.6\\-1.4-(-5)=3.6\\2.2+1.4=3.6\\[/tex]
Its arithmetic because common difference is same 3.6
2, –2.2, 2.42, –2.662, 2.9282, …
-2.2-2=-4.2
2.42+2.2=6.62
Its not arithmetic
5, 1, –3, –7, –11, …
1-5=-4
-3-1=-4
-7+3=-4
-11+7=-3
Common difference is -4. So it Arithmetic
–3, 3, 9, 15, 21, …
3+3=6
9-3=6
15-9=6
Its Arithmetic
–6.2, –3.1, –1.55, –0.775, –0.3875, …
-3.1+6.2=3.1
-1.55+3.1=1.55
Its not Arithmetic
So, options I, III and IV are Arithmetic sequences.
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4. a) In a sale, a car costing $ 9500 Średuced by
30%
what's the sale Price?
Answer:
$6650
Step-by-step explanation:
→ Calculate the decimal multiplier
100 - 30 = 70
70 ÷ 100 = 0.7
→ Multiply the decimal multiplier by the cost
9500 × 0.7 = 6650
Answer:
$6,650
Step-by-step explanation:
This is called percentage decrease:
(100 - 30)% = 70%
9500 × 70/100
= $6,650
complete the statement.
(7m-2m2n)2
m = -6 and n = 2
The value of the given expression (7m - 2m²n)² = 34,596 at m = -6 and n = 2.
What is an expression?An expression consists of variables, constants, and operators. Based on the number of terms in an expression, they are named linear, binomial, and so on.
Calculation:The given expression is (7m - 2m²n)²
It is given that m = -6 and n = 2
To evaluate the given expression, the given values are substituted in it.
On substituting these values,
(7m - 2m²n)² = (7(-6) - 2(-6)²(2))²
⇒ (-42 - 4(36))²
⇒ (-42 - 144)²
⇒ (-186)²
∴ (7m - 2m²n)² = 34,596
Therefore, the required value of the given expression is 34,596.
Learn more about an expression here:
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Write 81% as a decimal.
Answer: 0.81
Step-by-step explanation: Think about all the way to the 100.