Answer:
-10, -1, 5
Step-by-step explanation:
To find the zeros of a function, you have to set each factor to zero in equations, then solve for x ....
x + 10 = 0 ... then factor 10 over (subtract 10 from each side) ...
x = -10
x-5=0
then repeat (add 5 to both sides) (and subtract 1 from both sides) ...
x -5 = 0 to x = 5
x + 1 = 0 to x = -1
hope this helps!! tell me if it doesnt make sense and i can help you!! also if it is right can i have brainliest :) no worries though happy to help
Find one root of the following equation x2 + 8x - 9 = 0
Answer: was just for a challenge
Step-by-step explanation:
no
Step-by-step explanation:
[tex]x {}^{2} + 8x - 9 = 0 \\ {x}^{2} - x + 9x - 9 = 0 \\ x(x - 1) + 9(x - 1) = 0 \\ (x + 9)(x - 1) = 0 \\ x = 1 \: and \: \: \: \: - 9[/tex]
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet):
if the bank charges 5.3% interest each year?
Answer:
the balance of the loan be after one year is $7897.5.
Step-by-step explanation:
Write the ratio of the first measurement to the second measurement. Compare in inches.
4 feet to 35 inches
Answer:
Step-by-step explanation:
12 inches = 1 foot
12*4= 48 inches
48:35
Describe the transformation of each function compared to its parent function.
I need help please!
Step-by-step explanation:
In general, for all problems like this, remember the acronym VOHI:
vertical outside, horizontal inside.
1. The parent function here would be [tex]f(x)=x^{2}[/tex]. 4 has been subtracted from the inside, so it is a horizontal change. You might think that it is moving left 4, but it's actually moving right 4. There is a reason for this, but it's not necessary for you to know right now. All you need to remember is that when inside the parentheses, minus means moving right, and plus means moving left. You also have a 9 added to the outside. Vertical outside. This is a vertical change, meaning up and down. This function has been moved right 4 and up 9.
2. First, the parent function is again [tex]f(x)=x^{2}[/tex]. This time, we have [tex]\frac{1}{4}[/tex] on the outside of our function. This means it is a vertical transformation. When the value on the outside is > 1, it is a vertical stretch. When the value is between 0 and 1 (0<a<1), it is a vertical shrink. [tex]\frac{1}{4}[/tex] is between 0 and 1. So, this is a vertical shrink by a factor of [tex]\frac{1}{4}[/tex]. Next, there is a 6 on the inside of the parentheses, meaning a horizontal translation. Remember from problem 1, though, minus=right and plus=left. So, this function has been vertically shrunk by [tex]\frac{1}{4}[/tex] and moved left 6.
3. Again, parent function: [tex]f(x)=x^{2}[/tex]. This one just has [tex]\frac{3}{2}[/tex] on the outside. We know that it's on the outside because otherwise there would be parentheses around both [tex]\frac{3}{2}[/tex] and x. There is not, so it is outside. Outside, vertical. This is a vertical change. Looking back at problem two, when a value is >1, which this is, it is a vertical stretch. So this function has a vertical stretch by [tex]\frac{3}{2}[/tex].
I hope this helps!
Transformation involves changing the position and/or size of a function.
The transformations are:
Translate f(x), 4 units right, and 9 units up.Translate f(x), 4 units left, then compress f(x) vertically by 1/4Vertically stretch f(x) by 3/2[tex]\mathbf{1.\ f(x) = (x - 4)^2 +9}[/tex]
The above function is a square function, and the parent function is:
[tex]\mathbf{f(x) = x^2}[/tex]
First, the function is translated right by 4 units (this is represented by subtracting 4 from x.
i.e.
[tex]\mathbf{f(x) = (x - 4)^2}[/tex]
Next, the function is translated up by 9 units (this is represented by adding 9 to the value of y.
i.e.
[tex]\mathbf{f(x) = (x - 4)^2 + 9}[/tex]
So, the transformation from the parent function is: Translate f(x), 4 units right, and 9 units up.
[tex]\mathbf{2.\ f(x) = \frac 14(x + 4)^2}[/tex]
The above function is a square function, and the parent function is:
[tex]\mathbf{f(x) = x^2}[/tex]
First, the function is translated left by 4 units (this is represented by adding 4 from x.
i.e.
[tex]\mathbf{f(x) = (x + 4)^2}[/tex]
Next, the function is vertically compressed a factor of 1/4 (this is represented by multiplying the function by 1/4
i.e.
[tex]\mathbf{f(x) = \frac 14(x + 4)^2}[/tex]
So, the transformation from the parent function is: Translate f(x), 4 units left, then compress f(x) vertically by 1/4
[tex]\mathbf{3.\ f(x) = \frac 32x^2}[/tex]
The above function is a square function, and the parent function is:
[tex]\mathbf{f(x) = x^2}[/tex]
The function is vertically stretched a factor of 3/2 (this is represented by multiplying the function by 3/2
i.e.
[tex]\mathbf{f(x) = \frac 34 \times x^2}\\[/tex]
[tex]\mathbf{f(x) = \frac 34 \timex x^2}[/tex]
So, the transformation from the parent function is: Vertically stretch f(x) by 3/2
Read more about transformations at:
https://brainly.com/question/13801312
9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?
Answer:
A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.
Step-by-step explanation:
x is a t-shirt
y is a hat
9x + y = 93.00
4x + y = 43.00
(9x + y) - (4x + y) = 93.00 - 43.00
9x + y - 4x - y = 50.00
5x = 50.00
x = 50.00/5
x = 10.00 [a t-shirt costs 10.00]
4x + y = 43.00
4×10.00 + y = 43.00
40.00 + y = 43.00
y = 43.00 - 40.00
y = 3.00 [a hat costs 3.00]
The diagram shows a triangle.
4s+9°
3s+1°
6s+1°
What is the value of s?
the number that s is has to equal to 180 once worked out
Answer:
s=13
Step-by-step explanation:
[tex]As\ we\ know\ that,\\"The \ sum\ of\ all\ angles\ of\ a\ triangle\ is\ 180"\\Hence,\\(4s+9)+(3s+1)+(6s+1)=180\\4s+3s+6s+9+1+1=180\\13s+11=180\\13s=180-11\\13s=169\\s=13[/tex]
Round each of these numbers to the degree of accuracy shown in the brackets
a) 4865
(Nearest ten)
Answer:
irst, 4865 rounded to the nearest ten is:
4870
Step-by-step explanation:
Here we will tell you what 4865 is rounded to the nearest ten and also show you what rules we used to get to the answer.
Remember, we did not necessarily round up or down, but to the ten that is nearest to 4865.
When rounding to the nearest ten, like we did with 4865 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.
a line passes through the points 1 , -6 and 4,3 what is the Y intercept of this line
Answer:
y-intercept = -13
Step-by-step explanation:
So you have to put it in slope-intercept form to solve.
slope is 4 so you plug in the one of the coordinate points in for x and y in the equation to find b.
Constant of proportionality characteristics what are some?
Answer: The constant of proportionality is the ratio between two directly proportional quantities.
Two quantities are directly proportional when they increase and decrease at the same rate.
Step-by-step explanation:
y = 3x – 21 is it proportional
Answer:
yes
Step-by-step explanation:
Select the section(s) of the graph where the function is decreasing.
1. blue line
2. red line
3. curved blue line
4. green line
can be more than one
The graph where the function is decreasing is represented by, the blue line, red line and the green line.
What is decreasing function?"If the value of the function f(x) is decreasing on increasing the value of x, then the function is called as decreasing function."
For given situation,
we have been given a piecewise function and its graph.
From the graph of a function,
we can observe that the function f(x) is decreasing for x < -3 , -3 ≤ x ≤ 0, and x > 0
This is represented by, the blue line, red line and the green line
Therefore, the correct options are 1, 2, 4.
Learn more about decreasing function here:
https://brainly.com/question/13391696
#SPJ2
What is the value of (–4) with an exponent of -3
Answer:
-64
Step-by-step explanation:
Because an exponent is basically a number repeated multiple times. So -4 x -4 x -4 would equal -64.
When 142 is added to a number, the result is 64 more than 3 times the number. Find
the number. pls show your work thx
Answer:
The number is 39
Step-by-step explanation:
Turn English into Math and solve for n:
142+n=64+3n
78+n=3n
78=2n
39=n
So the number must be 39
Represent the following expression as an algebraic expression where a number is the letter x ; a number is subtracted from 4
Answer:
4-x
Step-by-step explanation:
since x is a number given and it should be subtracted from 4.
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey's error when simplifying? Expression Simplified Expression 2 x squared minus 4 x minus 9 minus x squared + 2 x + 3 x squared minus 6 x minus 6 Mickey should have added –4 and 2 when combining the coefficients of the x terms. Mickey should have added 2 and 1 when combining the x squared terms. Mickey should have added 9 and 3 when combining the constant terms. Mickey should have added –4 and –1 when combining the x terms. Mark this and return
Full question attached:
Mickey simplified the expression below. He then checked his work by substituting 4 for x. He noticed his two values were not equal. What was Mickey’s error when simplifying?
Expression: 2x^2 - 4x - 9 - x^2 + 2x + 3
Simplified expression: x^2 - 6x - 6
ANSWER CHOICES:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Mickey should have added 2 and 1 when combining the x^2 terms.
Mickey should have added 9 and 3 when combining the constant terms.
Mickey should have added –4 and –1 when combining the x terms.
Answer
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Explanation:
To simplify an expression means to group and organize the expression in a such a way that it becomes more understandable, and can now easily be solved
Given the expression 2x² - 4x - 9 - x² + 2x + 3 to simplify
We first group and find like terms and then add and cancel out
2x²-x²- 4x+2x - 9+ 3
=x²-2x-6
Mickey did not add the coefficients -4 and +2 for x terms in the expression, instead it looked like he added 4+2 as the coefficients
Therefore the correct option is
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Answer:
Mickey should have added –4 and 2 when combining the coefficients of the x terms.
Step-by-step explanation:
Please help:) Due soon!:)
Is it:
A: y-4= -2/3(x+3)
B: y-2= -2/3(x-6)
C: y+4= 2/3(x-3)
D: y+6= 2/3(x-2)
Will give brainliest if correct.
The sencond one is D.
The first one is probable A hope i'm right on this on.
Put it in order yes or no?and how do yk if it is or not
9514 1404 393
Answer:
yes, yes, no, no
Step-by-step explanation:
An equation is linear if no term has a variable with an exponent other than 0 or 1. There can be no products of variables.
The equations with terms x³ or x² will not be linear.
(a, b) linear (yes)
(c, d) not linear (no)
math 6th grade
Suppose an artist is working on a painting. On Monday, he painted 1/2 of it. On Tuesday, he completed another 1/3 of the painting. What percent of the painting has yet to be done? Round your answer to the nearest whole percent.
Answer:
17%
Step-by-step explanation:
1/2+1/3=5/6,so 1/6 left. That is 16.66666666666667 or 17%..
Hope this helps plz hit the crown :D
A picture 10 inches tall and 14 inches wide is to be scaled to 1.5 inches tall to be displayed on a webpage. How wide should the picture be on the webpage for the two pictures to be similar?
Answer:
1.8
Step-by-step explanation:
500000 x 396 / sqrt of 72
Cheeseburger01, If you are there and you find this please repply or answer!
It says your account was deleted and i'm worried.....
Answer:
the answer of 500000x396 is 198,000,000
Answer:
hey, will you tell (at symbol)MichiChan i cant go on pixelart? i keep getting an error 400 on it and i cant do anything. i dont want her to think im ignoring her...thanks
Step-by-step explanation:
:P
PLEASSSSSSSSSSSSSSSSSSSSSSSSSSeeee help 10+ points for you
Answer:
f < -2
Step-by-step explanation:
f+ 4 < 2
-4. -4
f < -2
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
the second
Step-by-step explanation:
Kurt says that if he starts with the number n, multiplies it by the next whole number and then adds 3 he will get 45. N(n+1)+3=45 what number makes kurts equation true?
Answer:
6
Step-by-step explanation:
we start with:
n(n + 1) + 3 = 45
n² + 1n = 42
n² + 1n - 42 = 0
n can be either 6 or -7
(n - 6)(n + 7)
since we cannot have negative numbers, the answer should be 6, but we can verify which number fits our equation:
n = 7 ⇒ n(n + 1) + 3 = 45
7(7 + 1) + 3 = 59 WRONG
n = 6 ⇒ n(n + 1) + 3 = 45
6(6 + 1) + 3 = 45 ✓ CORRECT
Answer:
6
Step-by-step explanation:
US
Find the value of x.
es
les
2x - 4
10
Step-by-step explanation:
[tex]{:}\longrightarrow[/tex][tex]\sf 2x-4=10 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=10+4 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf 2x=14 [/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {14}{2}}[/tex]
[tex]{:}\longrightarrow[/tex][tex]\sf x=7 [/tex]
The senior classes at High School A and High School B planned separate trips to the local amusement park. The senior class at High School A rented and filled 13 vans and 5 buses with 370 students. High School B rented and filled 12 vans and 10 buses with 600 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
please show you work
Answer:
10 students/van
48 students/bus
Step-by-step explanation:
(a) 13v+5b = 370
(b) 12v+10b = 600
(a) - (b)
v -5b = -230
v = 5b-230
12(5b-230) + 10b = 600
60b+10b -2760=600
70b=3360
7b=336
b=48
v = 5(48) - 230 = 10
v = 10
Let's check
12(10) +10(48) = 600
please help. i would rly appreciate it. :/
Jack works at a sporting goods store and makes a commission of 20 percent. His sales for each week are shown below. How much did Jack make in total in commission during all four weeks?
Week
Sales
1
$3,000
2
$2,500
3
$3,500
4
$4,000
$200.00
$260.00
$2,000.00
$2,600.00
Answer:
The answer is D
Step-by-step explanation:
Answer:
D.) $2,600.00
Step-by-step explanation:
Write an equation of the line passing through the point (2,8) that is perpendicular to the line 2x-3y=7
Answer:
y = (-3/2x) + (35/4)
Step-by-step explanation:
So the perpendicular line will have a slope that is the opposite reciprocal of the other line's slope. Solve for the original line's slope first:
2x - 3y = 7 --> -3y = -2x + 7 --> y = (2x/3) - (7/3)
So, the slope of the perpendicular line will be (-3/2x)
Solve for the y-intercept of the perpendicular like by using the linear equation and substituting in (2,8):
8 = (-3/(2*2)) + b --> (32/4) = -(3/4) + b --> b = (35/4)
So, y = (-3/2x) + (35/4)
Hope that helps! :D
is this correct? ILL MARK YOU BRAINIEST
Answer:
yes
Step-by-step explanation:
This is correct.
Since every operation in this is multiplication, you can remove the parentheses. This is the associative property of multiplication. Now you can group the exponents and the normal factors together.
[tex](1.5*2.0)*(10^{0} *10^{-5})[/tex]
[tex]3.0*10^{-5}[/tex]
So the answer you put is correct. But, if your test is online and has a dumb grading system (like edulastic) I suggest you put 3.0 instead of 3.
If y = -30 when x = 15, what is the value of x when y = 60?
Answer:
If y = -30 when x = 15
then x = 60 when y = 60