Answer:
4.25+9.75+0.5x≤18
Step-by-step explanation:
4.25+9.75+0.5x≤18
14+0.5x≤18
0.5x≤4
x≤8
She can buy at most 8 packs of crackers.
Hope this helps :)
Fiona can buy maximum 8 number of packages of crackers.
What is subtraction?Subtraction is mathematic operation. Which is used to remove terms or objects in expression.
Given that Fiona has $18 to spend and she spent $4.25 .
Now, she has the money $18 - $4.25 = $ 13.75
And she needs to save $9.75 from rest of the amount.
Therefore, $13.75 - $ 9.75 = $4
Now she has $4 to spend and one packet of crackers cost $0.50.
So $4 / $0.50 = 8 number of packages Fiona can buy with the rest of money.
Therefore, Fiona can buy maximum 8 number of packages of crackers.
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or Precalculus
Unit: Get ready for trigonometry
x
Unit test
f is a trigonometric function of the form f(x) = a cos(bx + c) + d.
Below is the graph of f(x). The function has a maximum point at (pi, 9) and a minimum point at
(3pi/4, 1)
Find a formula for f(x). Give an exact expression.
Answer:
4cos(4x-4pi)+5
Step-by-step explanation:
It was from khan
4.875 = d - 2.125
what do I do here?
Answer:
d=7
Step-by-step explanation:
7-2.125= 4.875
7 is your answer as it balances both sides of the equation.
i got seven by adding 2.125. to 4.875
Answer:
Step-by-step explanation:
1. add 2.125 to both sides of your equation
4.875 = d - 2.125
+2.125 +2.125
7 = d
The d is now isolated which allows us to see the answer is 7 for d
Remainder Theorem: When f(x) = ax³ + 7x² - 7x - 3 is divided by x - 1, the remainder is 7. Find the value of the constant (a)
I NEED AN ANSWER AS FAST AS POSSIBLE!!
What is the equation of a line with a y-intercept at (0, 2) and a slope of 3? a. y = 2 x + 3 c. y = 3 x + 2 b. y = 3 x minus 2 d. y = negative 2 x + 3
Answer:
C) y = 3x + 2
Step-by-step explanation:
Given the slope of the line, m = 3, and the coordinates of the y-intercept, (0, 2).
We can substitute these values into the following slope-intercept form, y = mx + b, where:
m = slope
b = the y-coordinate of the y-intercept.
Therefore, the correct answer is option C, where it shows the equation of the line in slope-intercept form is: y = 3x + 2.
Answer and explain every step of your solution.
Answer:
min: (-2;-6) & (1; 3/4); max: (0;2).
Step-by-step explanation:
1) f`(x)=3x³+3x²-6x;
2) f`(x)=0, ⇒ 3x³+3x²-6x=0;
3) 3x³+3x²-6x=0; ⇒ x(x²+x-2)=0; ⇒ x(x-1)(x+2)=0; ⇒ x₁=0; x₂=1; x₃=-2;
other steps are provided in the attachment.
Which point could be used to find f(2)?
point A will represent the input-output values of the function.
What is number line ?
Number line is virtual representation of numbers along with coordinates axis with number equally spaced with equal number of interval.
In the graph of y = f(x),
For every x-value (input value), value of the function is the y-value (output value).
For the input value x = 2,
Output value of the function will be,
y = f(2)
Therefore, point A will represent the input-output values of the function.
check and know more about function here :
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Evelyn bought snacks for her team's practice. She bought a bag of chips for $2.99 and
a 20-pack of juice bottles. The total cost before tax was $36.39. Write and solve an
equation which can be used to determine i, how much each bottle of juice costs.
(36.39- 2.99)/20
Total- chips, so total amount for juice.
Then, divide by 20 because she bought 20 bottles
Answer:
1.67
Step-by-step explanation:
36.39 - 2.99 = 33.4 33.4 ÷ 20 = 1.67
simplify by combining like terms 3k-2k
Answer:
k
Step-by-step explanation:
3k-2k=1k
1k=k so this is the answer
-7x+6y=34 7x+4y=-24 helppp
Answer:
x=–4, y=1
Step-by-step explanation:
adding the 2 equations, we see the X's go away and we are left with: 10y=10. we can simplify and solve for y by dividing both sides by 10 and we are left with y=1
plugging 'y=1' into the fist equation we get: -7x+6=34. we can now solve for x by subtracting 6 from both sides and dividing both side by –7, so we are left with: x=–4
we can check by plugging both x and y into one of the original equations:
-7(-4)+6(1)=34
28+6=34
34=34✓
Select the correct expression. Which expression is equivalent to 5^4 · (5^-2)^3 ?
5-^3
5^2
5^-2
5^-1
we have 5^4 . (5^-2)^3 = 5^4 . 5^-6 = 5^ (4-6) = 5^-2
ok done. Thank to me :>
What is the sum of the 2nd cube number and the 1st cube number?
What is the sum of the 2nd cube number and the 1st cube number
If the vertical length is 10, what is the horizontal length?
Answer:
5
Step-by-step explanation:
it is half of ten which is 5
Hope this helps
Answer:
top one is correct I think
will give brainliest !!
Answer:
Triangle A'B'C'
A'B'= 7.81
B'C'= 6
A'C'=5
C) Perimeter= 18.81 Area 15
Triangle ABC
AB=5
BC=4
AC=3
c) Perimeter = 12 Area = 6
Step-by-step explanation:
Triangle ABC work
Perimeter 4+3+√4^2+3^2=12
Area 4*3/2=6
Triangle A'B'C' work
Area 6*5/2=15
Perimeter 6+5+√6^2+5^2=18.81025
Please give brainliest
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
Will give brainliest no files plz
Answer:
x=3 and y= 4 / 3 (Fraction)
Step-by-step explanation:
Substitute x for 6y-5.
2(6y−5)−3y=2
Add 6y and 3y, and multiply 5 by 2/Simplify the equation.
9y−10=2
Add 10 to both sides, and then divide each side by 9.
9y−10+10=2+10
9y / 9 = 12 / 9
y = 4/3.
Repeat the process but replace y with 4/3!
Answer:
x=3
y= 4/3
Step-by-step explanation:
2(6y-5)-3y=2
y= 4/3
x=6x 4/3-5
x=3
5y-3=-23
ttttttttttttttttttttttttttttttttt
[tex]5y-3 = -23\\\\\implies 5y = -23 +3 = -20\\\\\implies y = -4[/tex]
Elena and her family are season ticket holders for their favorite baseball team. Last year, the cost of season tickets was $1,510. This year, the cost is $1,208. What was the percent of decrease in the cost of season tickets?
Answer:6
Step-by-step explanation:
6.
Identify the vertex of the parabola.
A. (−4, 0)
B. (−3, 1)
C. (1, −3)
D. (−1, −3)
Step-by-step explanation:
the vertex is the point, where the parabola turns around. it is (depending on its orientation, if it is opening upwards or downwards) the maximum or the minimum of the curve.
so, as we can see on the grid, that point is x = -3, y = +1 = (-3, 1).
so, B is correct
Answer:
B. (−3, 1)
Step-by-step explanation:
-3, 1 is the vertex I believe
-3,1 should be the one
Make x the subject of the formula
dx - t = 8
Answer:
x = (8+t)/d
Step-by-step explanation:
Since you want to make x the subject of the formula, you would want it along. so you should move the t to the other side, which will get you dx = 8+t, then you will have to divide both sides by d to get the x along, and in this case, you will get x = (8+t)/d
The given formula can be written as x = (8 + t)/d.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The given formula is as below,
dx - t = 8
Since, it is a linear equation with variable x. It can be rewritten as follows,
dx - t = 8
=> dx = 8 + t
=> x = (8 + t)/d
Hence, by making x as the subject the given formula becomes as x = (8 + t)/d.
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After school, Cindy had a science club meeting for 55 minutes, followed by a choir rehearsal that lasted for 1 hour and 35 minutes. If Cindy got out of school at 1:15 P.M., what time did the choir rehearsal end?
Please help
Answer:
3:10
Step-by-step explanation:
Disposal time=1:15PM
Choir ending time:-
[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 27. find the value of a.
Answer:
a = 16
Step-by-step explanation:
The median is the middle value of the data arranged in ascending order.
If there is no exact middle then the median is the average of the 2 values either side of the middle
a + 1 , 2a - 1 , a + 7 , 3a + 4
↑ middle
Then
[tex]\frac{2a-1+a+7}{2}[/tex] = 27 ( multiply both sides by 2 to clear the fraction )
3a + 6 = 54 ( subtract 6 from both sides )
3a = 48 ( divide both sides by 3 )
a = 16
20 points
Please help me with these questions I am being timed
Answer the picture ones too please
Simplify:
(-8 + 35) + |-16 + 4|
Answer:
do I need to answer the questions in every pic?
Answer:
open the ones in bracket first
(_6)2 = _ 36
Step-by-step explanation:
so there fore 26.08 + (- 36) + 3.4 - 8.9 ÷ 9
open bracket by multiplying the signs
which implies
26.08 - 36 + (3.4 - 8.9) ÷ 9
- 9 .92 + (- 5.5) ÷ 9
open brackets by multiplying the signs
-9.92 - 5.5 ÷ 9
- 15.42 ÷ 9
which will give -1.713 approximately
Please help!! I’m taking a math course a grade above mine but since i’m on break my teacher isn’t able to help me.
Answer:
Slope = ½
Step-by-step explanation:
Given the two points on the graph, (-4 , 0) and (0, 2):
Let (x₁, y₁) = (-4 , 0)
(x₂, y₂) = (0, 2)
Substitute the given points into the following slope formula:
[tex]\LARGE\mathsf{m = \frac {(y_2\: -\: y_1)}{(x_2\: -\: x_1)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: -\:(-4)}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2\: -\:0}{0\: +\:4}}[/tex]
[tex]\LARGE\mathsf{m = \frac {2}{4}\:=\:\frac{1}{2}}[/tex]
Therefore, the slope of the line is ½.
The population density of Peru one year was approximately 23 people per square kilometer. Brazil has a land area of approximately 8. 5 million square kilometers. If Brazil had the same population density as Peru that year, approximately how many people were living in Brazil? 370,000 people 2,700,000 people 31,500,000 people 195,500,000 people.
Answer:
195,500,000 people.
Step-by-step explanation:
8.5 mil times 23 equals 195,500,000
Can anyone help me to verify identities
Answer:
Step-by-step explanation:
18.
LHS
[tex]\frac{cos^{2}a-sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a }{sin^{2}a.sin^{2}b} -\frac{sin^{2}b }{sin^{2}a.sin^{2}b}[/tex]
= [tex]\frac{cos^{2}a}{sin^{2}a}[/tex] × [tex]\frac{1}{sin^{2}b}[/tex] - [tex]\frac{sin^{2}b}{sin^{2}b}[/tex] × [tex]\frac{1}{sin^{2}a}[/tex]
= [tex]cot^{2}a[/tex] × [tex](1+cot^{2}b)[/tex] - 1 × [tex](1 + cot^{2}a)[/tex]
= [tex]cot^{2}a[/tex] + [tex]cot^{2}a.cot^{2}b[/tex] - 1 - [tex]cot^{2}a[/tex]
= [tex]cot^{2}a.cot^{2}b[/tex] - 1
Then you can conclude that LHS = RHS
19. It's weird. I tried a few ways like simplifying, dividing both numerator and denominator on LHS by tan or sin or cos but it didn't work out.
What is 4600000 in standard form?
Answer:
4.6x10^6
Step-by-step explanation:
4.6x10^6=46000000
Awnser this for brainliest
In 2005 a town with a population of 10,000 finds that its population is declining by a rate of 0.3% per year. Find the following
of the original population. He answered that it would never reach half, what is the incorrect assumptions Johnny made? (answer with a Johnny was asked how long it will take the population to reach complete sentence)
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
The parameters are given as:
[tex]\mathbf{P_o = 10000}[/tex]--- the population in 2005
[tex]\mathbf{r = 0.3\%}[/tex] -- the rate at which the population declines
To model a population, we make use of the following exponential function
[tex]\mathbf{P = P_o \times(1 -r)^t}[/tex]
Where P is the current population in t years.
So, we have:
[tex]\mathbf{P = 10000 \times(1 -0.3\%)^t}[/tex]
When the population reaches half of the initial population, then P = 5000.
So, we have:
[tex]\mathbf{5000 = 10000 \times(1 -0.3\%)^t}[/tex]
Divide both sides by 10000
[tex]\mathbf{0.5 = (1 -0.3\%)^t}[/tex]
[tex]\mathbf{0.5 = (0.997)^t}[/tex]
Take logarithm of both sides
[tex]\mathbf{log(0.5) = log(0.997)^t}[/tex]
Rewrite the equation as
[tex]\mathbf{log(0.5) = tlog(0.997)}[/tex]
Make t the subject
[tex]\mathbf{t = \frac{log(0.5)}{log(0.997)}}[/tex]
[tex]\mathbf{t = 231}[/tex]
This means that the population will halve its initial population in 231 years.
Johnny's assumption is that, none of the residents of the town will live up to 231 years.
Read more about population functions at:
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ASP please
What is the slope of the line on the graph
Answer: 6
Step-by-step explanation:
Let's look at two points on this line (1, 5), and (0, -1)
Using the slope formula ([tex]\frac{y_2-y_1}{x_2-x_1}[/tex])
[tex]\frac{((5) - (-1))}{(1)-(0)}[/tex]
[tex]\frac{6}{1}[/tex]
Hope it helps :)
Answer:
Well you could count and use the Rise/Run method, or you could use the Slope formula (x2 - x1) / (y2 - y1)
From point (0, -1) to point (1, 6) would look like this
(1 - 0) / (6 + 1) = 1/7, so your slope is 1/7
Since you already have you y-intercept (where x is 0), your whole equation would be this:
y = 1/7x - 1
What is the interquartile range of the lengths of bananas?
Answer:
I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/
that contains quartile ranges of stored bananas
Step-by-step explanation:
If this doesn't help please correct your question or tell me more so I can better help you