Answer:
2
Step-by-step explanation:
Given the function
f(x) = x^3 − x + 4 in the interval [1,2]
We are to find the value of x for which f(x) = 7
Substitute f(x) = 7 into the expression as shown!
f(x) = x^3 − x + 4
7 = x^3 − x + 4
x^3 − x + 4 -7 = 0
x^3 − x - 3= 0
x^3 -x = 3
x(x²-1) = 3
x²-1 = 3 and x = 3
x² = 3+1
x² = 4
x = ±√4
x = ±2
Since x lies within the interval, [1,2] hence the value of x is 2
Before beginning voice lessons, Aubrey already knew how to sing 357 pieces, and she expects to learn 2 new pieces during each week of lessons. After 78 weeks of voice lessons, how many pieces will Aubrey be able to sing, in total? Write and solve an equation to find the answer. pieces
If 3 < 1 - x, what is value for x
Answer:
x < -2
Step-by-step explanation:
a. When x= -1, what is the value of y?
b. When y= 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?
Answer:
When x=-1, y=3; when y=7, x=1; the y-intercept is 5; the x-intercept is 2.5; the slope is 2; the lines' equation is y=2x+5
Step-by-step explanation:
The first two answers can be easily interpreted by looking at the graph. For the next two, remember, the x-intercept is the point where the line touches the x-axis and the y-intercept is the point where the line touches the y-axis. For question e, the slope can be calculated by plugging the two coordinates from the first two questions, (-1,3) and (1,7), into the formula [tex]\frac{y_2 - y_1}{x_2-x_1}[/tex] or by using the graph to count the slope. The equation of the line is written in slope-intercept form, y=mx+b. Here, m is the slope and b is the y-intercept. Plug in these values that you already found while answering the previous questions and you have the answer.
A recent study suggests that men are more likely to go to a social media channel to compare prices of products than women at a ratio of 6:5 complete the chart, graph the data, and write the equation that models this proportional relationship
Answer:
just graph it 6 women to 5 men so put that on a graph?
Step-by-step explanation:
Jenny is having a party. She has one
large container of soda with 179
ounces in it. A second container holds
128 ounces, but half of it has already
been used. If there are 12 people at
the party, how much soda can each
person have?
Jakob is asking to simplify the expression -3a + 4b + 5a + (-7b).
He writes: -3a + 4b + 5a + (7b) = -3a + 5a + 4b + (7b).
Which property allows him to do this?
A. the associative property
B. the commutative property
C. the distributive property
D. the additive identity property
Answer:
B. Commutative
Step-by-step explanation:
He can do that because it's a sum
Answer:B
Step-by-step explanation:
find x if 2^(3x-1)=128√5
Answer:
i think its x=6
Step-by-step explanation:
-3(x + 5) = 6 - 3(2x + 4) solve for x and show work
Answer:
-3
Step-by-step explanation:
-3(x + 5) = 6 - 3(2x + 4)
-3x - 15 = 3(2x + 4)
-3x - 15 = 6x + 12
+3x +3x
-15 = 9x + 12
-12 -12
-27 = 9x
-------------
9
x = -3
What is the slope of y=x+5?
Answer:
1
Step-by-step explanation:
since the formula is
y=x+5 and x is the slope
1 is the slope
Answer:
the slope is 1 and the y intercept is 5
Customers at an ice-cream shop took a survey. The results showed that 144 customers rated the shop as being very satisfactory" This number represented 45% of the total number of customers who took
the survey
What was the total number of customers who took the survey?
A 189
B 65
C 99
D 320
Answer:
D
Step-by-step explanation:
At the museum, there were 4,050 students in attendance from a total
of 15 different school districts. What was the average attendance from
each school district?
First to Answer:
270
Step by step
4050/15 = 270
Im not certain its 270 So i'd wait for another answer to confirm! Let me know if its correct or not!
Can someone help with this question?
What is the solution to the equation 3/5(y-5) = - (y+3) +2
Answer:
[tex]\frac{5}{4}[/tex]
Step-by-step explanation:
Given expression:
[tex]\frac{3}{5}[/tex](y - 5) = - (y + 3) + 2
To solve this problem, multiply both sides by 5;
5 x [tex]\frac{3}{5}[/tex](y - 5) = 5[-(y + 3) + 2}
3(y - 5) = 5(-y - 3 + 2)
expand,
3y - 15 = 5(-y -1)
3y -15 = -5y - 5
Collect like terms;
3y + 5y = -5 + 15
8y = 10
y = [tex]\frac{10}{8}[/tex] = [tex]\frac{5}{4}[/tex]
Jack works after school. Each day he is paid a set amount, plus an hourly wage. Look at the table. Choose the linear function f Jack can use to find his pay.
Hours 1 1.5 2 2.5 3
Pay 18 23 28 33 38
A. f(x) = 10x + 8
B. f(x) = 15x + 3
C. f(x) = 0.5x + 1
D. f(x) = x + 18
Answer:
A: f(x)=10x+8
Please a need the answer and the solution please
Answer:
Step-by-step explanation:
To find the first table y = 4x + 2, to find each y value we have to substitute each x value into the equation.
4(-2) + 2 = -6 so -2 is going to have the y as -6
4(-1) + 2 = -2 so -1 is going to have the y as -2
4(0) + 2 = 2 so 0 is going to have the y as 2
4(1) + 2 = 6 so 1 is going to have the y as 6
4(2) + 2 = 10 so 2 is going to have the y as 10
So these are the points you would graph (-2, -6), (-1, -2), (0, 2), (1,6), and (2, 10)
For the next talbe y = 3x + 1 we do the same thing
3(-2) + 1 = -5 so -2 is going to have the y as -5
3(-1) + 1 = -2 so -1 is going to have the y as -2
3(0) + 1 = 1 so 0 is going to have the y as 1
3(1) + 1 = 4 so 1 is going to have the y as 4
3(2) + 1 = 7 so 2 is going to have the y as 7
The ooints to graph are (-2, -5), (-1, -2),(0,1), (1, 4) and (2,7)
For the next table y = 6x - 5
6(-2) - 5 = -17 so -2 is going to have the y as -17
6(-1) - 5 = -11 so -1 is going to have the y as -11
6(0) - 5 = -5 so 0 is going to have the y as -5
6(1) - 5 = 1 so 1 is going to have the y as 1
6(2) - 5 = 7 so 2 is going to have the y as 7
The points to graph (-2, -17), (-1, -11), (0, -5), (1, 1) and (2, 7)
For the next table y = 5 + 2x
5 + 2(-4) = -3 so -4 is going to have the y as -3
5 + 2(-2) = 1 so -2 is going to have the y as 1
5 + 2(0) = 5 so 0 is going to have the y as 5
5 + 2(3) = 11 so 3 is going to have the y as 11
5 + 2(5) = 15 so 5 is going to have the y as 15
(-4, -3), (-2, 1), (0, 5), (3, 11) and (5, 15)
For the next table y = 8x - 10
8(-4) - 10 = -42 so -4 is going to have the y as -42
8(-2) - 10 = -26 so -2 is going to have the y as -26
8(0) - 10 = -10 so 0 is going to have the y as -10
8(2) - 10 = 6 so 2 is going to have the y as 6
8(4) - 10 = 22 so 4 is going to have the y as 22
(-4, -42), (-2, -26), (0, -10), (2, 6) and (4, 22)
For the last table
2(-2) = -4 so -2 is going to have the y as -4
2(-1) = -2 so -1 is going to have the y as -2
2(0) = 0 so 0 is going to have the y as 0
2(-1) = -2 so -1 is going to have the y as -2
2(-2) = -4 so -2 is going to have the y as -4
(-2, -4), (-1, -2), (0, 0), (-1, -2) and (-2, -4)
PLEASE ANSWER QUICK A team is ordering sweatshirts and sweatpants for its players. Each sweatshirt costs $25 and each pair of sweatpants costs $21. Write an algebraic expression to represent the total cost if x players want sweatshirts and y players want sweatpants.
Answer:
25x+ 21y
You multiply x by sweatshirts and y by sweatpants
Step-by-step explanation:
I don't know what sport your talking about or how many people are on the team so im not really sure but hete
Marcia works 11 hours per day, 6 days a week. How many hours does she work in a 5-week period? Plz plz plzzzz help.
Answer:
330
Step-by-step explanation:
11*6=. 66
66*5= 330
Evaluate the expression when c= -6.
c^2+ 7c+8
Answer:
2
Step-by-step explanation:
1. Substitute c with -6... so the equation would be -6^2 + 7(-6) + 8
2. Simplify... so -6^2 is 36 because when you square something you times it by itself and two negatives multiplied together equals a positive so -6*-6=36 then 7*-6 is -42 because a positive multiplied by a negative is always a negative
3. So now you have 36 + -42 + 8 or 36 - 42 +8 because an when adding a negative it’s basically just like subtracting because they cancel out
4. So when you simplify it’s simply it’s simply 2 because 36-42 is -6 added by 8 is 2
Sorry if this was confusing I’m really bad at explain gm but hope this helps :)
Hey there!
c^2 + 7c + 8
= -6^2 + 7(-6) + 8
= -36 - 42 + 8
= -78 + 8
= -70
Therefore, your answer is: -70
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
What are the correct answers?
Answer:
A function is a relation between sets where for each input, there is exactly one output.
1) Yes
2) Yes
3) Yes
4) No
Answer:
1) Yes
2) Yes
3) Yes
4) No
if a polygon is translated, which of the following characteristics of the polygon are the same?
A side length
B area
C the coordinates of the vertices.
the following characteristic of the polygon that are the same are A SIDE LENGTH AND B AREA
Translation is a rigid transformation.
The characteristics that will remain the same are: (a) side length and (b) area
When a polygon is translated, the polygon undergoes a rigid transformation.
A rigid transformation does not change the side length and angle of a shape.
The side lengths of the polygon would remain unchanged.Since the side lengths are not altered, then the area of the polygon will also remain unchanged.However, the coordinates would change; because the polygon would change its position after translation.
Hence, the correct options are:
(a) and (b)
Read more about translations at:
https://brainly.com/question/12463306
what is k in 1/4k = 3 (-1/4k + 3)?
Answer:
k = 9
Step-by-step explanation:
1/4k = 3(-1/4k + 3) distribute
1/4k = -3/4k + 9
+3/4k +3/4k Add
k = 9 Answer
Brian has reduced his cholesterol level by 8% after his last check up. If his original level was 260, what is his approximate cholesterol level now?
my head is HURTINGG and I cannot do this
put these decimals in order
3.5
14.2
4.37
10.4
17.86
8.93
Answer:
I think you didn't specify what order this decimals you want to be so:
If you want these to be in ascending order (lowest to highest), then:3.5, 4.37, 8.93, 10.4, 14.2 and 17.86.If you want these to be in descending order (highest to lowest), then:17.86, 14.2, 10.4, 8.93, 4.37 and 3.5.Hope this helps and if you could mark me as brainliest. Thanks!
What is the measure of angle A'B'C?
All Angles Added: 180
Measures of Idiviudual Angles
A=70 C=70 B=40
-------------------------------------------------------------------------------
Step-by-step explanation:
All angles of a triangle when combined must equal 180 degrees.
Since the triangle is an isosceles triangle, at least 2 sides must be congruent meaning that A=C since the triangle is not equilateral.
On Olga's 16th birthday, her uncle invested $2,000 in an account that was locked into a 1.75% interest rate, compounded monthly. How much will Olga have in the account when she turns 18? Round to the nearest cent.
Answer:
$2070.6Step-by-step explanation:
Step one:
given data
principal p= $2000
Rate r= 1.75% = 0.0175
time t= 18-16= 2years
Required
The final amount of the compounded principal
The compound interest formula is
A=P(1+r)^t
A=2000(1+0.0175)^2
A=2000(1.0175)^2
A=2000*1.0353
A=2070.6
The account when she turns 18 will be $2070.6
Can someone help me?
Answer: 17=2/9 and 16=3.6
Step-by-step explanation:
Find the value of:
a) x2 when x = 6
b) y2 when y= -9
c) z2 when z = 0.7
Step-by-step explanation:
(a)= 6×2= 12
(b)= -9×2=-18
(c)= 0.7×2=1.4
Dan noticed that each of the four times he ate a hamburger and shake at a fast food emporium, he got a poor grade on a Spanish test that day. He conjectures that he should eat only Mexican food on the day of a Spanish test.
Poor or good inductive reasoning explain why?
Answer:
That is poor reasoning
Step-by-step explanation:
There is no evidence that because he ate a burger that he will get a good grade. He just sucks at Spanish. He should study more.
PLZ HELP, ILL GIVE BRAINLIEST
Solve for x: one over eight (8x + 15) = 24
9
49
one hundred seventy-seven over eight
two hundred seven over eight
Answer: 177/8
Step-by-step explanation: Step 1: Simplify both sides of the equation.
1
8
(8x+15)=24
(
1
8
)(8x)+(
1
8
)(15)=24(Distribute)
x+
15
8
=24
Step 2: Subtract 15/8 from both sides.
x+
15
8
−
15
8
=24−
15
8
x=
177
8
Answer:
The person above is correct i got it right on my quiz. :)
Step-by-step explanation:
How can you solve standard form and intercept form?
Answer:
The standard form of such an equation is Ax + By + C = 0 or Ax + By = C. When you rearrange this equation to get y by itself on the left side, it takes the form y = mx +b. This is called slope intercept form because m is equal to the slope of the line, and b is the value of y when x = 0, which makes it the y-intercept.
Step-by-step explanation:
Sandra has $60 in a savings account. The interest rate is 5%, compounded annually.
To the nearest cent, how much interest will she earn in 1 year?
Answer:
$3 or 300 cents.
Step-by-step explanation:
She has 60 dollars in the savings account, and the interest rate is 5%, so you do 60*1.05 and get 63.