The values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively
From the question,
The given function is g(x) = 4 - 3x
We are to evaluate the function for the given values of x
For when x = -3put the value x = -3 into the function
That is,
g(x) = 4 - 3x becomes
g(-3) = 4 - 3(-3)
g(-3) = 4 + 9
g(-3) = 13
For when x = 0,Put the value x = 0 into the function
That is,
g(x) = 4 - 3x becomes
g(0) = 4 - 3(0)
g(0) = 4 - 0
g(0) = 4
For when x = 5,Put the value x = 5 into the function
That is,
g(x) = 4 - 3x becomes
g(5) = 4 - 3(5)
g(5) = 4 - 15
g(5) = -11
Hence, the values of the given function when x = -3, 0, and 5 are 13, 4, and -11 respectively
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Find the value of a and b when a+b = -5, ab = -24
Step-by-step explanation:
a= - 5 - b
Subs. the above into...
ab = - 24
(-5-b)b = - 24
Therefore b=-24 or b=19
Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
a + b = - 5 → (1)
ab = - 24 → (2)
Rearranging (1) expressing a in terms of b, that is
a = - 5 - b → (3)
Substitute a = - 5 - b into (2)
b(- 5 - b) = - 24 ← distribute left side
- 5b - b² = - 24 ( subtract - 5b - b² from both sides )
0 = b² + 5b - 24 ← in standard form
0 = (b + 8)(b - 3) ← in factored form
Equate each factor to zero and solve for b
b + 8 = 0 ⇒ b = - 8
b - 3 = 0 ⇒ b = 3
Substitute these values into (3) for corresponding values of a
b = - 8 : a = - 5 - (- 8) = - 5 + 8 = 3
b = 3 : a = - 5 - 3 = - 8
Thus
a = 3, b= - 8 or a = - 8, b = 3
hello can you help me, thank you!!
Answer:60.58
Step-by-step explanation:add the first numbers 64.67 take that from 125.25 and u got 60.58
Answer:
60.58
Step-by-step explanation:
Subtract the first 2 numbers which equals 64.67 then subtract 64.67 and 125.25 and you get... 60.58
please brainliest??
What is 18.84 rounded to the nearest 10th
18.84 rounded to the nearest tenth is 18.8.
Rounding to place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits.
We can see that round a number to the nearest tenth, we need to look at the digit in the hundredth place. In this case, the number is 18.84.
Therefore, digit in the hundredth place is 4.
If the digit in the hundredth place is less than 5, we round down to the previous tenth. If it is 5 or greater, we round up to the next tenth.
Since 4 is less than 5, we round down. Therefore, 18.84 rounded to the nearest tenth is 18.8.
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What does a function return?
O a procedure
O a routine
O a value
O a subroutine
Answer:
A value
Step-by-step explanation:
Whenever you input a number x into function f(x), you should get an output of y. That means that the function should return a number value.
Answer:
c
Step-by-step explanation:
on edge
A 3-column table with 4 rows. Column 1 is labeled a with entries 1, negative 1, negative 4, negative 6. Column 2 is labeled b with entries 2, negative 2, 1, negative 3. Column 3 is labeled Distance with entries 1 unit, X, Y, Z. A number line going from negative 7 to positive 3. Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.
Answer:
Distance is the number of units between two integers. Use number line to find the distance between each pair of integers.
X = 1
Y = 5
Z = 3
Step-by-step explanation:
its easy lol
Answer:
X = 1
Y = 5
Z = 3
or 1 5 3
Step-by-step explanation:
102) Find the price of one marker if four
markers cost $11.36.
help asap please!!!
Answer $2.84
Step-by-step explanation:
11.36 divided by 4
Answer:
$2.84 a marker divide $11.36 by the number of markers to get the answer $2.84
A coffee dispensary uses ⅘ of a barrel of coffee beans per batch of coffee they ship. Yesterday, the dispensary used 3 ⅕ of a barrel of coffee beans. How many batches of coffee did they produce?
Answer:
4 batches
Step-by-step explanation:
First, you need to convert the mix number into a single fraction:
3 1/5 = 16/5 total barrels of coffee beans used
This allows us to divide the numbers easier in the next step.
Next, because each batch uses 4/5 of a barrel of beans, you need to divide 16/5 by 4/5:
(16/5) / (4/5) = 16/4 = 4 batches
(The fives cancel out because they are the same divisor.)
I hope this helps!
-TheBusinessMan
Please simplify! x+9=21+3x-4+10
Answer:
-9
Step-by-step explanation:
Step 1 : Put like terms together
x + 9 = 21 + 3x - 4 + 10
Subtract 3x on both sides
-2x + 9 = 21 - 4 + 10
Subtract 9 on both sides
-2x = 21 - 4 + 10 - 9
Simplify
-2x = 18
Step 2 : Divide
[tex]\frac{-2x}{-2}[/tex] = [tex]\frac{18}{-2}[/tex]
x = -9
Answer:
x= -9
Step-by-step explanation:
- Put all the same signs together
x-3x = 21-4+10-9
*Quick tip:
-when you cross a sign with a number or without a number over the equal
sign you have to change the sign (positive to negative and negative to
positive.
-x and 1x is the same thing
- Calculate small sections by small sections
-2x = 17 + 1
-2x= 18
-2/-2x = 18/-2
x= -9
If f(x) = 3x + 2 and g(x) = x2 + 1, which expression is equivalent to (fog)(x)?
Answer:
(fog)(x) = f(g(x)) = 3(x^2 + 1 ) + 2
Step-by-step explanation:
For this problem, you simply need to understand the notation (fog)(x) is equivalent to f ( g ( x ) ). This means you simply plug the function g(x) into each x within the function of f(x). Let's do this:
f(x) = 3x + 2
g(x) = x^2 + 1
f(g(x)) = 3(x^2 + 1 ) + 2
(fog)(x) = f(g(x))
Cheers.
How would I solve this?
(3x-4) - (4x-1)
Answer:
-x - 3
Step-by-step explanation:
(3x - 4) - (4x - 1) =
The first set of parentheses is unnecessary, so you can just remove it.
= 3x - 4 - (4x - 1)
To remove the second set of parentheses, you must distribute the negative sign to its left by the terms inside the parentheses. To do this, change every sign inside the parentheses.
= 3x - 4 - 4x + 1
Now combine like terms. Terms with x are like terms and are combined together. Therms without x are like terms and are combined together.
= 3x - 4x - 4 + 1
= -x - 3
What set(s) of numbers does 5 belong to?
Step-by-step explanation: For example, 5 can be written as 5/1. The natural numbers, whole numbers, and integers are all subsets of rational numbers.
can you please tell me the ans with the process
Answer: d) 6 e) 10 g) 900
Step-by-step explanation:
d) [tex]\sqrt{9610} = 98.0306[/tex]
98² = 9604
9610 - 9604 = 6
e) [tex]\sqrt{2906}=53.9073[/tex]
54² = 2916
2916 - 2906 = 10
g) 10 12 15
∧ ∧ ∧
2·5 2·2·3 3·5
The Perfect square is: 2² · 5² · 3² = 30²
30² = 900
Write an integer expression using absolute value symbols to represent the verbal expression.
-the absolute value of negative eight-
Enter the correct answer in the box.
Answer:
[tex]Absolute\ Value = 8[/tex]
Step-by-step explanation:
Given
Digit = -8
Required
Determine the absolute value
The absolute value is calculated as follows;
[tex]Absolute\ Value = |Digit|[/tex]
Substitute -8 for Digit
[tex]Absolute\ Value = |-8|[/tex]
And it returns the positive of its input;
So
[tex]Absolute\ Value = 8[/tex]
What is the solution set of the quadratic equation 1/2 (4x-1) ^2 = 4
Answer:
x = [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]
Step-by-step explanation:
Given
[tex]\frac{1}{2}[/tex] (4x - 1)² = 4 ( multiply both sides by 2 to clear the fraction )
(4x - 1)² = 8 ( take the square root of both sides )
4x - 1 = ± [tex]\sqrt{8}[/tex] = ± 2[tex]\sqrt{2}[/tex] ( add 1 to both sides )
4x = 1 ± 2[tex]\sqrt{2}[/tex] ( divide both sides by 4 )
x = [tex]\frac{1+/-2\sqrt{2} }{4}[/tex]
= [tex]\frac{1}{4}[/tex] ± [tex]\frac{1}{2}[/tex][tex]\sqrt{2}[/tex]
I’ve done this 3 different way and I’m still getting it wrong someone help I feel dumb
note: remember to take the comma out or ignore it. I put it in there to help make the number more readable
===========================================
Explanation:
Let x be the value of the sale in dollars.
x-1900 represents the leftover amount that is over 1900
eg: if x = 2200, then x-1900 = 2200-1900 = 300 is the the leftover amount
taking 9% of (x-1900) leads to the expression 0.09(x-1900) and this expression must be 1000 since this is the extra amount of money the salesman needs (he already has $1000 in base pay)
-------------
Solve for x
0.09(x-1900) = 1000
x-1900 = 1000/0.09
x-1900 = 11,111.11111 approximately
x = 11,111.11111 + 1900
x = 13011.1111
x = 13,011.11 rounding to the nearest cent
Solve the equation. Then check your solution.
6= -2(10n + 7)
A. 1
B 0.4
C. -1
D. 0.05
The function f(x) is given by the set of ordered pairs. Which is true regarding the function? {(8, -3), (0, 4), (1, -5), (2, -1), (-6, 10)}
f(-3) = 8
f(3) = 5
f(8) = 0
f(-6) = 10
Answer:
f(–6) = 10
Step-by-step explanation:
EDGE
f(-6)=10 is the true option regarding the function.
What is a function?The function is a relationship between a set of inputs with a set of outputs such that one input cannot have two outputs.
General form of a function is f(x)=y
The ordered pairs (x,y) or (x,f(x)) represent the graphical points of a function in the coordinate plane.
How to solve the problem?The given function is given by the set of ordered pairs
(x,y)={(8,-3),(0,4),(1,-5),(2,-1),(-6,10)}
Clearly f(-6)=10 is the only correct option.
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Write a mathematical expression to model the following situations.
15. The total cost of a meal, when the price of a pizza is $5 and the price of breadsticks is $3.
16. The total number of wheels in a parking lot, when a car has 4 wheels and a motorcycle has 2 wheels.
17. The total number of legs of insects in a field, when a spider has 8 legs and a cricket has 6 legs.
Answer:
The expressions are as follows:
$5+$3=$84+2=68+6=14Remember whenever it's written total it means you have to do addition. Hope it helps you.
robert has money in his saving account. he spent $35 of it on a new jacket. he has $70 left. how much money did he have his savings before he bought the jacket
Answer:
The answer is $105
Step-by-step explanation:
Solution: 4x = 12
Nina's grades could be better. She gets about five hours of sleep every weeknight and ten hours per night on weekends. How much sleep should she get to better concentrate on schoolwork? five to six hours every night nine to ten hours every night a total of forty hours a week a minimum of eighty hours a week Save and Exit Next Mark this and return
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
Answer:
nine to ten hours every night hope o helped bbbbbbbbbbbbbbbbbbbbyyyyyyyyyyyyeeeeeeeee
Step-by-step explanation:
equation of a line, use the slope intercept formula for points (3,-6) and (5,8) including a check.
please help me learn instead of telling me the answer :)
i’ll show u what i have so far
Answer:
y=7x-27
Step-by-step explanation:
The equation of a line is given by y=mx+C where m is the gradient of the line or slope and c is the intercept on your axis. according to your question, you are given two point on (3,-6) and (5,8). so we can get the gradient m= Y2-Y1/X2-X1= gradient. so Y1= -6, Y2=8 , X1=3, X2=5
slope= 8-(-6)/5-3=14/2=7. so m=7....so the equation of line can be written in form y=7x+C. but we need to find C. C can be gotten from where the line passes through (3,-6) that is when x=3, y=-6. so we can find C from that point. -6=7(3)+C..so we have -6=21+C. C=-6-21=-27
so the equation of the line is y=7x-27
- 3/2 + ( - 4/2 ) pls help !!
what is the equivalence of -5/8
Answer:
One answer could be -10/16
Step-by-step explanation:
Write .24... as a fraction in simplest form.
Answer:
6/25
Step-by-step explanation:
6/25
0.24... as a fraction in simplest form is 6/25.
How to write .24... as a fraction in simplest form?A fraction is in its simplest form if the numerator and denominator have no common factors other than 1.
In other words, you cannot divide the top and bottom any further and have them still be whole numbers. The simplest form is also called lowest terms.
We have:
0.24 = 24/100
In this case, 24 and 100 have a common factor, which is 4. Thus, 0.24 (24/100) in simplest form will be:
0.24 = 24/100 = 6/25 (divide both numerator and denominator by 4)
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Simplify:
7x + 5 - 4x - 16
Which equation represents this sentence? One-half the sum of a number and four is three less than the quotient of five and the number. 12n+4=5n−3 12(n+4)=5n−3 12n+4=3−5n 12(n+4)=3−5n
Answer:
Step-by-step explanation:
"one half the sum of a number and 4" is (1/2)(n + 4)
"three less than the quotient of 5 and the number" is 5/n - 3
putting this all together, we get
(1/2)(n + 4) = (5/n) - 3
Answer:
b.) 1/2(n 4)=5/n−3
Step-by-step explanation:
A card store sells greeting cards that range from less than $1 to $10. The histogram below shows the distribution of cards throughout several price ranges and was determined to be the most accurate way of representing these data.
Hello, I do not see a question nor a histogram for the statement/info provided. I am assuming that the question that you are referring to is "Which of these most likely describes the data shown in the histogram?"
Answer:
The correct answer would be: A, The cards are grouped into five intervals according to price. The prices of the cards vary within each interval, and the highest frequency is 21.
Explanation:
From the histogram (below), you can observe that the highest frequency for the diagram is in fact 21, so you can eliminate answer options B and D.
You are left with either A or C, but you can tell that C is wrong as it states "The prices of the cards are limited to a few whole number values", but in truth the histogram displays values that are decimals, the prices of the cards vary within each interval.
Hope this helps!
Olivia ordered 24 cupcakes and a layer cake. The layer cake cost $16 and the total cost of the order was $57. What was the price of each cupcake?
Let's use an equation to solve this problem.
[tex]y=24x+16[/tex]
Where x is the price of each cupcake, y is the total cost, 16 is the price of the layer cake, and 24 is the number of cupcakes.
[tex]57=24x+16[/tex]
[tex]41=24x[/tex]
[tex]x=\frac{41}{24}[/tex]
Which simplifies around to $1.71 dollars.
Hope this helps.
頑張って!
Write 19/9 as a mixed number
Answer:
2 1/9
Step-by-step explanation:
Divide 19 by 9 and get a number with a remainder
Take remainder and put it as the numerator with 9 and the denominator and with 2 as the whole number
look at image. reflection across y= -2
Answer:
S is -2,-3 r -3,-4 R 0,-5
Step-by-step explanation:
is the reflection points :)