Find the point(s) of intersection for
y = x2 + 3x – 4 and y = 4x + 2
Answer:
(6,26)
Step-by-step explanation:
You will take the points and graph them since these are both positive equations they will go up and to the right.
both intersect at (6,26)
also if you forgot how to graph it, I got you
1. find the rate of change (as I will call it) THIS IS YOUR NUMBER NEXT TO THE X!!! this means that the line will go up 4 and over 1 then your whole number, in this example would be 2 is your y-intersect (the place on the y-axis where the line passes) after that you should be able to draw your lines and find the poi!
Please comment if I got something wrong! I don't want to be giving bad advice
Let f(x)=2x-6. Solve f^-1(x) when x=2
-5
4
-2
7
Answer:
4.
Step-by-step explanation:
f^-1(x) is the inverse of f(x). That means that f(x) = 2x - 6 becomes...
x = 2y - 6
2y - 6 = x
2y = x + 6
y = 1/2x + 3.
When x = 2...
y = 1/2(2) + 3
= 1 + 3
= 4.
Hope this helps!
Sorry it’s the best quality photo I could get
Explanation:
The idea is to isolate y getting it by itself. We can do this a number of ways, but possibly the quickest way is to add y to both sides
x/2 - y + 6 = 0
x/2 + 6 = 0+y
x/2 + 6 = y
y = x/2 + 6
This is now in slope intercept form, more or less. We could rewrite the x/2 as (1/2)x to get
y = (1/2)x + 6
Then compare this to y = mx+b and note the slope is m = 1/2 and the y intercept is b = 6.
Side note: the quality of the snapshot is fairly good. I've seen much worse.
Use the percent proportion to solve for X. 16 is 32% of x. Find the value of 1.
Answer:
I dont get the question, is there suposed to be a chart?
Step-by-step explanation:
What is the sum of all integers x that satisfy 1 < (pi -1 )x < 10?
Answer:
10
Step-by-step explanation:
pi is 3.14...
pi - 1 is 2.14...
question becomes 1<2.14x and 2.14x < 10
1/2.14 < x, 0.46... < x
x < 10/2.14, x < 4.67...
combining
0.46< x < 4.67
x can be 1, 2, 3, 4
Answer:
Step-by-step explanation:
pi - 1 = 3.14 - 1 = 2.14
x has to be an integer, and the result must be greater than 1.
1 works.
1 < 2.14*1 < 10 2.14 is between 1 and 10.
2 works
1 < (2.14)*2 < 10
1 < 4.28 < 10
3 works
1 < 2.14 * 3 < 10
1 < 6.42 < 10
4 might work
1 < 2.14*4 < 10
1 < 8.56 < 10
and it does work.
5 can't work
1 < 5 * 2.14 < 10
1 < 10.7 < 10 is not true.
Answer: 1,2,3,4
(ab² + 13b - 4a) + (3ab² + a +7b)
Answer:
4ab² + 20b - 3a
Step-by-step explanation:
This question most likely asks us to simplify the expression, as factoring is not possible...
(ab² + 13b - 4a) + (3ab² + a + 7b),
ab² + 13b - 4a + 3ab² + a + 7b,
ab² + 3ab² + 13b + 7b - 4a + a,
Solution : 4ab² + 20b - 3a
dertermine two numbers that have product of 40 but have sum of 13
Answer:
8 and 5.
Step-by-step explanation:
8 x 5 = 40
8 + 5 = 13
simplify (3x + 2)(4x - 4)
Answer:
12x² - 4x - 8
Step-by-step explanation:
Use FOIL method
(3x + 2)(4x - 4) = 3x*4x + 3x*(-4) + 2 *4x + 2*(-4)
= 12x² - 12x + 8x - 8 {add like terms}
= 12x² - 4x - 8
Hint: 3x * 4x -----> Multiply the coefficients = 3 *4 = 12 and then multiply the variables and for multiplying the two variable, add the powers
x*x =[tex]x^{1+1)=x^{2}[/tex]
3x * 4x = 12x²
(c+5)/(-2)=13
Someone please help
Answer:
-31
Step-by-step explanation:
-2((c+5)/(-2))=13*-2
c+5=-26
c=-31
Answer:
c = -31
Step-by-step explanation:
(c+5)/(-2)=13
Multiply each side by -2
(c+5)/(-2) *-2=13* -2
c+5 = -26
Subtract 5 from each side
c+5-5 = -26-5
c = -31
At 6pm on October 23rd you exchange 100 JPY and receive 12.33 GSD
a state the rate you will take and how much you expect to receive?
Answer:
0.123 GSD are expected to be received by each JPY.
Step-by-step explanation:
The exchange rate is the ratio of GSD per each JPY, that is:
[tex]x = \frac{12.33\,GSD}{100\,JPY}[/tex]
[tex]x = 0.123\,\frac{GSD}{JPY}[/tex]
Which means that 0.123 GSD are expected to be received by each JPY.
EXERCISE 2.1
(a)
1.
An agent sells some articles for Rs 5,500. What commission does he get at 5%?
Answer:
250
Step-by-step explanation:
5000×5/100 =250
why because you times it for commission because it what you gain
What is the circumference of a circle with radius pi?
Answer:
2π² or 19.74
Step-by-step explanation:
Circumference of a circle is C = 2πrGiven r = π
Then:
C= 2π*π = 2π²or
≈19.74someone please help, whats the answer for this, write in point-slope form an equation of the line that passes through the point (8, 9) with slope 7. y - _ = _ (x - _)
Answer :
y=7x-47
Step-by-step explanation:
[tex] (8, 9) = (x_1,y_1) \\ m = 7 \\ y - y_1 = m(x - x _1) \\ y - 9 = 7(x - 8)[/tex]
[tex]y - 9 = 7x - 56 \\ y = 7x - 56 + 9 \\ y = 7x - 47[/tex]
I hope it helps
х+у= 9
2x – Зу = 8
someone plz solve
Step-by-step explanation:
x+y=9
x=9-y ----------(i)
Now in second eqn put the value of x
2x -3y=8
2(9-y) - 3y=8
18 - 2y - 3y=8
18-8=5y
10=5y
y=2
Then put the value of y in eqn (i)
x=9-y
x=9-2
x=7
I hope this will be helpful for you.
Answer:
[tex] \huge {\boxed{ \bold{ \boxed{(7 \:, 2)}}}}[/tex]Step-by-step explanation:
Given,
x + y = 9
2x - 3y = 8
Using substitution method:
In this method , a variable is expressed in terms of another variable from one equation and it is substituted in the remaining equation.
[tex] \mathsf{x + y = 9}[/tex]
Move y to right hand side and change it's sign
⇒[tex] \mathsf{x = 9 - y}[/tex]⇔equation ( i )
Now, put the value of X from equation ( i )
⇒[tex] \mathsf{ 2 (9 - y) - 3y = 8}[/tex]
Distribute 2 through the parentheses
⇒[tex] \mathsf{18 - 2y - 3y = 8}[/tex]
Collect like terms
⇒[tex] \mathsf{18 - 5y = 8}[/tex]
Move constant to right hand side and change it's sign
⇒[tex] \mathsf{ - 5y = 8 - 18}[/tex]
Calculate
⇒[tex] \mathsf{ - 5y = - 10}[/tex]
Divide both sides of the equation by -5
⇒[tex] \mathsf{ \frac{ - 5y}{ - 5} = \frac{ - 10}{ - 5} }[/tex]
Calculate
⇒[tex] \mathsf{y = 2}[/tex]
Now, Put the value of y in the equation ( i )
⇒[tex]x = 9 - 2[/tex]
Calculate the difference
⇒[tex] \mathsf{x = 7}[/tex]
Hence, x = 7 and y = 2
The possible solution of the system is the ordered pair ( x , y )
[tex] \mathsf{(x \: , y \: ) = (7 , \: 2)}[/tex]
---------------------------------------------------------
Check if the given ordered pair is the solution of the system of equation
⇒[tex] \mathsf{7 + 2 = 9}[/tex]
⇒[tex] \sf{2 \times 7 - 3 \times 2 = 8}[/tex]
Simplify the equalities
⇒[tex] \sf{9 = 9}[/tex]
⇒[tex] \mathsf{8 = 8}[/tex]
Since all of the equalities are true , the ordered pair is the solution of the system.
[tex] \mathsf{ \underline{ \bold{(x \:, y \: ) = (7 \:, 2)}}}[/tex]
Hope I helped!
Best regards!!
What is the value of x?
Answer:
itś between 30 and 45 but my best guest is 30
Step-by-step explanation:
Answer:
55
Step-by-step explanation:
because i said so
There are 1,332 people under the age 20 in Pierce City. This represents 14% of the total population. What is the total population
Answer:
The total population = 9514.2857143 people.
Step-by-step explanation:
Let the total population be represented by X
In the question, we are told that,1332 people are under the age of 20 and this value = 14% of the total population.
Therefore, the total population is calculated as
14% of X = 1332
14/100 × X = 1332
14X/100 = 1332
Cross Multiply
14X = 1332 × 100
X = 1332 × 100/14
X = 9514.2857143
Therefore, the total population = 9514.2857143 people.
1.Which numbers below could be classified as integers? 2.Which number belongs in the shaded portion of the diagram below?
Answer:
1). Option (3)
2). Option (D)
Step-by-step explanation:
1). Integers are the numbers which are whole numbers with negative or positive notations.
Integers can't be a fraction or a number with decimal.
Out of the numbers given,
-18 and 4 will be the integers
Option (3) is the correct answer.
2). Shaded portion of the diagram represents the rational numbers excluding integers,
By the definition of the rational numbers, any number which can be written as a fraction is a rational number.
Rational numbers → All numbers given are the rational numbers
Integers → [tex]\frac{16}{4}=4, -\frac{30}{5}=6, -\frac{32}{8}=-4[/tex]
Therefore, only one number [tex]\frac{30}{9}[/tex] will lie in the shaded region.
Option (D) will be the answer.
In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer . Roy answered all the questions and scored 30 marks though she got 10 correct? Find the total number of sums .
Answer:
20 questions
Step-by-step explanation:
Given
[tex]Correct \Marks= +5[/tex]
[tex]Incorrect\ Marks= -2[/tex]
[tex]Score\ Obtained = 30[/tex]
[tex]Number\ of\ correct\ answers = 10[/tex]
Required
Number of questions answered
First, we need to get the total correct marks obtained by Roy
This is calculated by multiplying the correct marks by number of correct answers
[tex]Total = +5 * 10[/tex]
[tex]Total = +50\ marks[/tex]
Subtract this from the total scores obtained; This gives the total incorrect answer obtained by Roy
[tex]Incorrect = Scores\ Obtained - Total[/tex]
[tex]Incorrect = 30 - (+50)[/tex]
Open bracket
[tex]Incorrect = 30 - 50[/tex]
[tex]Incorrect = -20[/tex]
Divide this by -2 to get the number of incorrect answers
[tex]Incorrect\ Answers = \frac{-20}{-2}[/tex]
[tex]Incorrect\ Answers = 10[/tex]
Add this to the number of correct answers to give the total number of question answered
[tex]Total = Correct\ Answers + Incorrect\ Answers[/tex]
[tex]Total = 10 + 10[/tex]
[tex]Total = 20[/tex]
Hence, Roy answered a total of 20 questions
Translate to an algebraic expression: 3 times the difference of a number and 4 is 33
Answer:
3 x (14-3) = 33
Step-by-step explanation:
The algebraic expression will be : 3(x - 4) = 33
Given,
3 times the difference of a number and 4 is 33
Now,
Let the number be x .
So,
Three times the difference of x and 4 will be 33 .
So,
First subtract x-4
Then thrice of this is 33
So,
3(x - 4) = 33
Thus the algebraic expression is 3(x - 4) = 33 .
After solving the expression:
x- 4 = 11
x = 15
Know more about algebra,
https://brainly.com/question/16934260
#SPJ6
if f(x)=4x+12 is graft on a coordinate plane what is the y intercept of the graph
For each problem, find the missing value using the Pythagorean Theorem
Answer:
Leg₂ ≈ 6.481 or √42
Step-by-step explanation:
a² + b² = c²
(√7)² + b² = (7)²
7 + b² = 49
b² = 42
b = √42
b ≈ 6.481
How many x or y intercepts can a quadratic function have?
0-2 x-intercepts and 0-1 y-intercept
2 x-intercepts and 1 y-intercept
0-2 x-intercepts and 1 y-intercept
1-2 x-intercepts and 0-1 y-intercept
Answer:
0-2 x-intercepts and 0-1 y-intercepts
Step-by-step explanation:
A quadratic function can have anywhere from 0 to 2 x-intercepts. This is possible because a function can have 0, 1, or 2 solutions.
A parabola can also have either 0 or 1 y intercepts. It is possible for the function to not intercept the y axis at all, and it is also possible for it to intercept it exactly one time.
write the slope intercept form of the equation of the line through the given point with the given slope through (2,5) , slope 2
Answer:
y =2x+1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = 2x+b
Substituting the point into the equation
5 = 2(2)+b
5 = 4+b
5-4 =b
b=1
y =2x+1
Marcella divided 40.8 gallons of paint amount 8 containers. how much paint is in each container?
Answer:
5.1 gallons
Step-by-step explanation:
Using the information provided, we know that there is of course 40.8 gallons of paint to be divided into 8 containers. This means we must use a division problem to figure out our answer.
We are splitting the 40.8 gallons into the 8 containers so that means our dividend is 40.8 and our divisor is 8. With this information, we can go ahead and put this into an expression of:
40.8/8
If you have a calculator, you can plug that equation in to get 5.1, but if you don't then a bit of easy long division will get you the same answer of 5.1 gallons.
Answer: 51 gallons
Step-by-step explanation:
Which expression is equivalent to –2(5x – 0.75)?
10x – 0.75
10x + 0.75
–10x – 1.5
–10x + 1.5
Answer:
-10x+1.5
Step-by-step explanation:
-2(5x-0.75).... distributive property
-10x+1.5
Note:
-&-=+
+&+=+
+&-=-
-&+=-
Hope this helps ;) ❤❤❤
Answer:
d
Step-by-step explanation:
Given a geometric sequence with a1 = 3 and a4 = 24, find a2.
Answer: 6
Step-by-step explanation:
ax/ay=r^(x-y)
in this case it will be
a4/a1=r^(4-1)
24/3=r^3
8=r^3
r=2
----------------------------------
an=a1×r^(n-1) ⇔ geometric sequence formula
a2=3×2^(2-1)
a2=3×2^1
a2=3×2
a2=6
You roll a single die numbered from 1 to 6 twice. The probability of rolling a 6 the first time and an odd number the second is the setup. What is the probability fraction "rolling a 6 the first time"?
Answer:
1 out of 6
Step-by-step explanation:
√36 + √49
Find the perimeter of the rectangle
Hi
perimeter of rectangle is : 2 length+2 width .
to progress in math, you must practice.
So , I let you do the first one which is the esaiest.
48 ) V147+ V147 + V108+V108 = 2V147 +2V108 = 2 ( V147+V108)
is the ratio 5:6 equivalent to 3:4
Answer:
No!
Step-by-step explanation:
This question is essentially asking if [tex]\frac{5}{6}[/tex] = [tex]\frac{3}{4}[/tex]
Well we can easily tell that it doesn't, but if we want to check, we can do cross multiplication.
So we are trying to find out if 5(4) = 3(6).
5(4) = 20 and 3(6) = 18.
[tex]20 \neq 18[/tex] so [tex]5:6 \neq 3:4[/tex]
They are not equal!
Answer:
No, because the numbers in the given ratio must be multiplied by the same number.
Step-by-step explanation:
Right on E 2020
given the area, find the dimension of a rectangle
The length of a rectangle is 12m less than three times its width, its area is 63 square meters.
Answer:
Width W = 7 m
Length L = 9 m
Step-by-step explanation:
Area of a rectangle = L * W
Area = 63 m²
L = 3W - 12
Area = L * W
66 = (3W - 12) * W
63 = 3W² - 12W
3W² - 12W - 63 = 0 ( solve W by using quadratic equation)
-(-12) ± √ -12² - 4 * 3 * (-63)
W = -------------------------------------------
2 * 3
W = 7 ; W = - 3
therefore use W = 7 m
solve for L:
L = 3W - 12
L = 3(7) - 12
L = 9 m
check:
Area = L * W
63 = 9 * 7
63 = 63 ----- OK