Step-by-step explanation:
an equation is a function, if it delivers for every possible input value x exactly one result value y.
b(x) = y = x² + 3
y - 3 = x²
x = sqrt(y -3)
our formally correct
y = sqrt(x - 3)
that is actually NOT a function, as a square root delivers for most x values 2 y values : a positive and a negative value.
d(x) = -9
that means for every possible value of x the result is -9.
reversing this means that the input value of -9 has infinitely many possible results
that is NOT a function.
m(x) = y = -7x
x = -y/7
or formally correct
y = -x/7
that is a normal function. every possible value of x leads to exactly one value of y.
p(x) = y = 1x¹ = x
y = x is its own inverse function.
and this is, of course, a function. every possible value of x leads to exactly one value of y.
can someone help me with this quickly please
Plug in -3 for f(x) into the first equation.
-3 = x^2 - 5x + 3
x^2 - 5x + 6 = 0
Factor!
(x - 3)(x - 2) = 0
Set each binomial equal to 0 to get the x-value of the point.
x = 3
x = 2
Plug each x-value back into the first equation (the answer should be -3, though it's always good to check) to get the y-value.
(3)^2 - 5(3) + 3
9 - 15 + 3
-6 + 3
-3
(2)^2 - 5(2) + 3
4 - 10 + 3
-6 + 3
-3
Ordered pairs of the solutions for this system of equations: (2, -3) and (3, -3)
Hope this helps!! :)
Round 607.5 to the nearest whole number.
Answer:
608
Step-by-step explanation:
607.5 on a number line would be round 608
because 5 is rounded to 10 like that
Apply sam technique
Ross sold b boxes of cookies, and gabby sold 35 boxes of cookies. Together they sold a total of 69 boxes of cookies
Lisa estimates the product 351 x 34 is more than 10,000. Gene disagrees. He estimates the product is less than 10,000. Whose estimate is better?
Answer:
Lisas
Step-by-step explanation:
You have to multiply 351X34
then you subtract 10,000, 10,000
4. Two pairs of related (x, y) values for a function are (-3, 9) and (-1, 13).
Find the slope and y-intercept, and write the equation of the function.
equation: __
slope: __
y-intercept: __
Step-by-step explanation:
Find the slope:
m = (13 - 9)/( - 1 + 3) = 4/2 = 2Find the y-intercept:
9 = 2(-3) + b9 = -6 + bb = 9 + 6b = 15The equation is:
y = mx + by = 2x + 15Slope
m=13-9/-1+3m=4/2m=2Equation in point slope form
y-9=2(x+3)y-9=2x+6y=2x+15Y intercept=15
Factories 16xy*2 +10xy
Answer:
[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]
What is the equation of the blue line
Answer:
y = - 3x - 1
Step-by-step explanation:
Slope = 3/-1 = -3 (rise/run)
y-intercept= -1
y = -3x - 1
Alex and her friends went out to lunch at the diner. The bill for lunch was $34.56 which included an 8% sales tax. How much was the price of the lunch before tax?
Answer:
34.48
Step-by-step explanation:
8% as a decimal is 0.08
34.56 - 0.08 = 34. 48
How do I solve systems of equations?
y=5x-8 5y=2x+6
Answer:
y=5x-8 , 5y=2x+6
y=5x-8 , y=2x+6-5
y=5x-8 , y=2x+1
y=3x , y=3x
Step-by-step explanation:
we checkout the equation and put the common factors then solve
Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60
Answer:
Step-by-step explanation:
-(8/11)/(-3/5) = -(8/11)*(-5/3)
-(8/11)*(-5/3) = 40/33 [ or 1 7/33]
I can't interpret the rest of the question. I see:
"Add 2/5 + 3/6 + 1/4 0 1 11/60 O 13/20 o 17/20 1 13/60"
The domain of a function h(x) is x≤-2, and the range is y<1. What are the domain and range of its inverse function, h^-1(x)
Using it's concepts, it is found that the domain and the range of the inverse function are given as follows:
The domain is x < 1.The range is [tex]y \leq 2[/tex].What are the domain and the range of a function?The domain of a function is the set that contains all the values of the input.The range of a function is the set that contains all the values of the output.In an inverse function, the domain and the range are exchanged, hence, considering the original function, for the inverse function we have that:
The domain is x < 1.The range is [tex]y \leq 2[/tex].More can be learned about domain and range at https://brainly.com/question/10891721
#SPJ1
The number of words Latisha can text, y,
varies directly with x, the number of
minutes spent texting. If Latisha texted 180
words in 5 minutes, find k, the constant of
proportionality.
Answer for A it’s 24
solve pls brainliest
Answer:
x = 45
Step-by-step explanation:
JKL = MKL + JKM
80 = 35 + x
x = 80 - 35
x = 45
I hope I helped you^_^
Find a primitive Pythagorean triplet (a, b, c) where c=a+50.
Answer:
Pythagorean triple (PT) can be defined as a set of three positive whole numbers that perfectly satisfy the Pythagorean theorem: a2 + b2 = c2.
theorem: a2 + b2 = c2.
This set of numbers are usually the three side lengths of a right triangle. Pythagorean triples are represented as: (a, b, c), where, a = one leg; b = another leg; and c = hypotenuse.
There are two types of Pythagorean triples:
Primitive Pythagorean triples
Non-primitive Pythagorean triples
Primitive Pythagorean triples
A primitive Pythagorean triple is a reduced set of the positive values of a, b, and c with a common factor other than 1. This type of triple is always composed of one even number and two odd numbers.
For example, (3, 4, 5) and (5, 12, 13) are examples of primitive Pythagorean triples because each set has a common factor of 1 and also satisfies the
Step-by-step explanation:
Pythagorean theorem: a2 + b2 = c2.
(3, 4, 5) → GCF =1
a2 + b2 = c2
32 + 42 = 52
9 + 16 = 25
25 = 25
(5, 12, 13) → GCF = 1
a2 + b2 = c2
52 + 122 = 132
25 + 144 = 169
169 = 169.
hope you all like this answer.
mark this answer as brainlist.
rate this answer quys.
Thank you ❤️.
what number has 62 ones, 20 ten thousands, and 300 tens
Answer:
20,326
Step-by-step explanation:
what number has 62 ones, 20 ten thousands, and 300 tens
Hope it helped you brainiest plz and thank you have a great day!!!
The number for the given statement is 203,062.
We need to find what number has 62 ones, 20 ten thousand, and 300 tens.
How to write the number into a word statement?In general, use words to express numbers zero through nine, and use numerals to express numbers 10 and above. However, there are exceptions to this general guideline for number usage.
Now, 62 ones=62×1=62
20 ten thousand=20×10,000=200,000
300 tens=300×10=3000
Now add all these numbers.
That is, 200,000+3000+62
=203,062
Therefore, the number for the given statement is 203,062.
To learn more about the numbers visit:
https://brainly.com/question/17429689.
#SPJ2
Solve for c.
-2c + -6 = 2
C =
Help is highly appreciated thank u
Answer:
c= -4
Step-by-step explanation:
4325 as a product of its prime factors
Answer:
5*5*173=4325
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
5²×173
Step-by-step explanation:
4325 as a product of its prime factors
5²×173
multiplicative inverse of 3/7 x 2/7
Sorry if I didn't understand the question right-
Answer:
[tex]\frac{49}{6}[/tex]
Step-by-step explanation:
The inverse of [tex]\frac{3}{7}[/tex] is [tex]\frac{7}{3}[/tex].
The inverse of [tex]\frac{2}{7}[/tex] is [tex]\frac{7}{2}[/tex].
Now we multiply:
[tex]\frac{7}{3}[/tex] × [tex]\frac{7}{2}[/tex] = [tex]\frac{49}{6}[/tex]
Hope this helped :)
If DG≈FG,DE=3v, and EF=v+48, what is the value of v?
Answer:
Step-by-step explanation:
As DF is perpendicular to EG and DG = FG, then the two triangles are congruent and therefore DE will equal FE
DE = FE
3v = v + 48
2v = 48
v = 24
A group of friends paid a total of 50.24 for tickets to the museum each friend pay the same amount for a ticket how much did each friend pay for a ticket to the museum
Answer:
50.24 ÷ number of people
Step-by-step explanation:
When you divide the total cost by the number of people there are, you will get the amount of money each person paid. Hope this helps!
At what values of the variable a is the value of the expression a (a + 5) greater than the value of the expression a (a - 4)?
Answer:
every number that is less than -1
Step-by-step explanation:
4 consecutive integers of 182
44,95,96,97
Step-by-step explanation:
first just do gcf and find your numbers with x
What plus what equals -8 ?
Answer:
-4+-4
Step-by-step explanation:
Two number whose sum equal to - 8 are - 11 and 4.
We have to given that,
To find two numbers whose sum equal to - 8.
Now, Let us asume that,
Two numbers are - 11 and 4.
Sum of both numbers are,
- 11 + 4
= - 8
Hence, Two number whose sum equal to - 8 are - 11 and 4.
Learn more about the addition visit:
https://brainly.com/question/25421984
#SPJ6
Question
A square has an area of 81 square inches. How long are its sides?
Someone please I need help ASAP !!
Answer:
Step-by-step explanation:
it is like 9x9=81
but yeah like he said it is a square so all sides are the same
but that is if you want to find the parameter
this question is talking about area
so when a question gives you an area you ask yourself what can be multiplied by what in order to give me the area
or since all sides are the same like he said you could just do simple division and do 81/9 which will =9
and since the question mentions that the area is in square inches it is obvious that the answer would be put in inches
answer: 9 inches
If 10 plums can be bought for 80p, what will be the cost of three plums
Answer:
3 plums = 24p
Step-by-step explanation:
10 plums = 80p / 3 plumps = ?p
Divide 80 by 10: 1 plum = 8p
Multiply by 3: 8*3 = 24p
Total cost of 3 plums : 24p
What is the graph of y <= 5x + 2?
Mindy's dog, Rex, weighed 80 pounds a year ago. Now he weighs 92 pounds. What is the percent increase in his weight?
A.
16%
B.
15%
C.
12%
D.
13%
Answer:
b.15%
Step-by-step explanation:
Alejandra quiere comprar lápices de color verde y morado. Los lápices verdes van en cajas de 100 unidades, mientras que los morados van en cajas de 40.¿Cuál es el mínimo número de cajas de cada color que debe comprar Alejandra para tener el mismo número de lápices de ambos colores?
2 CAJAS
3 CAJAS
4 CAJAS
5 CAJAS
Kim bought a blouse for $17.16, a skirt for $28.19, and a purse for $35.14. The sales tax was 12%. If she hands the clerk a $100 bill how much will she get back?
Based on the cost of her items, if Kim hands over $100, she will get back $9.85.
The total that Kim will pay includes the cost of all three items as well as the sales tax.
The total cost of the three items is:
= Blouse + Skirt + Purse
= 17.16 + 28.19 + 35.14
= $80.49
The total including the sales tax will be:
= Cost + (Cost x Sales tax)
= 80.49 + (80.49 x 12%)
= $90.15
The change she will get is:
= 100 - 90.15
= $9.85
In conclusion, Kim will get a change of $9.85.
Find out more at https://brainly.com/question/13706696.
tan(-x) cos(-x) =
Simplify the expression
Answer:
- sin (x)
Step-by-step explanation:
hope this helps :)
Answer: tan(-x) cos(-x) = -sin(x)
Step By Step Explanation:
tan(-x) cos(-x)
Use the negative angle Identity to get:
Cos (x) (-tan(x))
Remove the parenthesis to get:
-Cos (x) tan (x)
Express with sin,cos to get:
-sin(x)
I got my explanation from www.symbolab.com
https://www.symbolab.com/solver/simplify-calculator/tan%5Cleft(-x%5Cright)%20cos%5Cleft(-x%5Cright)%20%3D?or=input
, Hope this Helps :)
Have a great day!!
