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.
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
please i need help like right now
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:
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
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
Can someone help me which are correct?
Answer:
Between the first option and the last option.
Step-by-step explanation:
first choice: c, a, d, b, e
last/fourth choice: a,c,d,b,e
Mike Is standing on a ladder that is partly in a hole he starts out on a rung that 6 feet underground climbs up 14 feet the climbs down 11 feet what is mikes final position relative to the ground level
Answer:
-3
mike's final position relative to the ground is 3 feet's underground
Step-by-step explanation:
We take positive value when he is above the ground and then take negative value when he is below or underground
6 feet's underground = -6
He climbs up 14 feet = +14
He climbs down 11 feet = -11
We are required to find his last position relative to ground level
= -6+14-11
= (-6) + (-11) + 14
= -17 + 14
= -3
So we have it that mike's final position relative to the ground is 3 feet's underground
4) If two cartons of soda cost $4.98, how much would 5 cartons of seda cost?
Cartons of Soda
Price
Gena's grandparents live 335.5 miles from Gena's house on a trip to visit them she drove 105.6 miles and stop to get something to eat she drove another 180 miles and stop for gas how many miles father did she have to drive to reach her grandparents house
Answer:
49.9
Step-by-step explanation:
335.5 minus 105.6 minus 180 = 49.9
What is the value of the expression below when z = 7 and w=10?
7z +10w
Answer:
149
Step-by-step explanation:
z = 7 and w = 10
Equation:
7z + 10w
Substitution:
49 + 100
Answer:
149
Hope this helps :)
The required value of the given expression at z = 7 and w = 10 is given as 179.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
z = 7 and w = 10
Now put these values in the given expression,
= 7z + 10w
= 7 × 7 + 10 × 10
= 49 + 100
= 149
Thus, the required value of the given expression is given as 179.
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5(x+7)=10
Ghggggggggggggggg
Answer:
x=-5
Step-by-step explanation:
x=10/5 - 7
x=2-7
x=-5
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.
Learn more : brainly.com/question/12870930
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.
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
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
While hiking Mr.Condo burns 402 calories in 6 hours. how many calories does he burn in 60 minutes
which of the following expression, when evaluated, equals an irrational number ?
Answer:
the answer for number 38 is H
When three times the sum of a number and seven is increased by ten, the result is four. What is the number ?
Answer:
x=9 :))
Step-by-step explanation:
First set up your equation.
"3 times" is multiplication
"THE SUM of A NUMBER and seven" that is parenthesis because of the multiplication before it
"is increased by ten" that is an addition at the end
Now we have 3(x+7)+10=4
Solve your equation!
Distribute the 3 now we have 3x+21+10=4
Add like terms
now it should look like this... 3x+31=4
Subtract 31 from both sides and it looks like...
3x=27
Divide by the x-value
x=9
The value of the number will be -9.
What is an expression?
Expression in math is defined as the collection of the numbers, variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that;
The word expression is;
''Three times the sum of a number and seven is increased by ten, the result is four. ''
Now, Let a number be x.
Then, we can formulate the expression as;
3 (x + 7) + 10 = 4
Solve the expression for x as;
3 (x + 7) + 10 = 4
3x + 21 + 10 = 4
3x + 31 = 4
3x = 4 - 31
3x = -27
x = -9
Thus, The value of the number will be -9.
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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)
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.
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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:
i need help? i don’t understand this ?
Answer:
the answer is ab
Step-by-step explanation:
you should go to the x axis and go to the four then go up 7 and it should land on the line in between a and b
Let me know if this helps :)
please help which system of inequalities is represented by the graph
A) y<1
y-x<0
B) y>1
y-x<0
C) y>1
y-x>0
D) y<1
y-x>0
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
EMERGENCY!!! Bro PLEASE Help ME! I'll Mark you as Brainliest from all my accounts! Given the pre-image coordinates (0, 5), (-3, 2), (4, -1) and transformed image coordinates (2, -5), (-1, -2), (6, 1), what is the coordinate transformation in function notation?
Answer:
it transformed each point 2 units to the left and 10 units down.
function notation; f(x)= (2+x) -10
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
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.
Write 81% as a decimal.
Answer: 0.81
Step-by-step explanation: Think about all the way to the 100.
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