Answer:
f(x).f(x) [tex]=\frac{25}{36} x^2 +\frac{25}{9}x+\frac{25}{9}[/tex]
Step-by-step explanation:
Given f(x) is a linear function.
Let f(x)= ax+c
given,f(-2)=0
∴a(-2)+c=0
⇔-2a +c=0
⇔c=2a ..........(1)
Again f(4) = -5
∴a.4+c=-5
⇔4a+c=5
⇔4a +2a=5 [∵ c= 2a]
⇔6a=5
⇔[tex]a=\frac{5}{6}[/tex]
Putting the value of a in equation (1)
[tex]c=2 \times \frac{5}{6}[/tex]
[tex]\Leftrightarrow c= \frac{5}{3}[/tex]
Therefore f(x) [tex]=\frac{5}{6} x+\frac{5}{3}[/tex]
f(x).f(x)
[tex]=(\frac{5}{6} x+\frac{5}{3})(\frac{5}{6} x+\frac{5}{3})[/tex]
[tex]=(\frac{5}{6} x+\frac{5}{3})^2[/tex]
[tex]=\frac{25}{36} x^2 +\frac{25}{9}x+\frac{25}{9}[/tex]
Break 42 into 7 equal fractions
Answer:
42/7 = 6.00
6.00 x 7 = 42
6.00 is fraction for 42.
Step-by-step explanation:
42 divided b 7 is 6.
A scientist studied a population of 300 lizards. It was revealed that 25/300 lizards had red spots on their back. Based on the results of her study, how many lizards in the population did NOT have spots on their backs
Answer:
[tex]\frac{11}{12}[/tex]
Step-by-step explanation:
300 - 25 = 275
275/300 = 11/12 simplified
Answer:
11/12
Step-by-step explanation:
Help pls will mark brainlist !! :)
Answer:
144 cubic inches
Step-by-step explanation:
a=lxwxh a=6*6*4
Yo sup??
we should know that the volume of a cuboid is l*b*h
from the given figure we can say that
l=6 inches
b=6 inches
h=4 inches
therefore
V=6*6*4
=144 inches^3
therefore the correct answer is option C
Hope this helps.
One number is 5 more than the other. Their sum is 33. Find the numbers.
Final answer:
The two numbers are 14 and 19, where one number is 5 more than the other and their sum is 33.
Explanation:
To find the two numbers where one number is 5 more than the other and their sum is 33, we can set up a system of equations. Let's call the first number x, which means the second number would be x + 5 since it's 5 more than the first. Their sum is given as 33, so we can create the following equation:
x + (x + 5) = 33
Now we simplify the equation:
2x + 5 = 33
To solve for x, we subtract 5 from both sides:
2x = 33 - 5
2x = 28
Finally, we divide both sides by 2 to find the value of x:
x = 28 / 2
x = 14
Now that we have the first number, we can easily find the second number by adding 5:
The second number is x + 5 = 14 + 5 = 19.
The two numbers are 14 and 19.
Unemployment is the ratio of
A. unemployed workers to employed workers
B. unemployed workers to total workers
C. workers to total population
D. workers to nonworkers
Answer:
C. Workers to total population.
Unemployment is defined as the condition of people who are able to work but cannot find jobs. The unemployment ratio is most accurately described by option B: 'unemployed workers to total workers'. This does not include people who are not part of the labor force.
Explanation:Unemployment is defined as the condition in which people who are able and willing to work cannot find jobs. In terms of the provided options, unemployment is best defined by option B: 'unemployed workers to total workers'. This is because the unemployment rate is calculated by dividing the number of unemployed individuals by the total number of individuals in the labor force (which includes both the employed and the unemployed) and then multiplying by 100 to get a percentage.
This measure gives a good representation of the number of people who are jobless compared to the overall amount of people who are either working or actively seeking work. It's important to keep in mind that it doesn't include people who are not part of the labor force, like children, retirees, and others who are not looking for work.
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What is x raised to the 1/2 power multiplied by x raised to the 1/5
Answer:
[tex]x^{3/5}[/tex]
Step-by-step explanation:
[tex]x^{1/2}*x^{1/5}\\[/tex]
Remember, when multipling common variables by an exponent, add the exponents
[tex]x^{\frac{1}{2} + \frac{1}{5}}\\x^{6/10} = x^{3/5}[/tex]
6) Happy Paws charges $20.00 plus $2.50 per hour to keep a dog during the day
Woof Watchers charges $9.00 plus $3.75 per hour, Write an equation and solve
it to find for how many hours the total cost of the services is equal, Use the
variable h to represent the number of hours,
Answer:
8.8 hours
Step-by-step explanation:
Given: Happy Paws charges $20.00 plus $2.50 per hour to keep a dog.
Woof Watchers charges $9.00 plus $3.75 per hour.
Lets assume the number of hours service provided be "h".
First, writing an equation for Happy paws cost for service.
Total cost of service= [tex]\$ 2.5\times h+ \$ 20[/tex]--- equation 1
Second, writing an equation for Woof watchers cost of services.
Total cost of service= [tex]\$ 3.75\times h+ \$9[/tex]--- equation 2
Now, finding number of hours services provided, when cost of service will be equal for both service provider.
∴ [tex]2.5h+ 20= 3.75h+ 9[/tex]
Solving the equation now to find number of hour.
⇒ [tex]2.5h+ 20= 3.75h+ 9[/tex]
Subtracting both side by 2.5h
⇒ [tex]20= 3.75h+ 9-2.5h[/tex]
Subtracting both side by 9
⇒ [tex]1.25h= 11[/tex]
Dividing both side by 1.25
⇒[tex]h= \frac{11}{1,25}[/tex]
∴[tex]h= 8.8\ hours[/tex]
Hence, 8.8 hours is the number of hours when cost of service will be equal for both service provider.
Add the linear expressions. 2x + 1 and x + 2
Answer:
3(x + 1)
Step-by-step explanation:
By adding
(2x + 1) + (x+2)
2x +1 +x +2
3x + 3 or 3(x + 1)
How do you write y= 1/2 x+2 in standard form?
Answer:
The equation is already in the standard form.
y
=
1
2
y
=
x
+
2
Step-by-step explanation:
Solve for n: -4 (3n+3) = 5 (-2-6n) -2
Answer:
Step-by-step explanation:
-12n - 12 = -10 - 30n - 2
-12n - 12 = -12 - 30n
-12n = -30n
-12n +30n = 0
18n = 0
n = 0
Answer:
-12n- 20 = -10 - 30n - 2
-12n - 20 = -12 - 30n
18n - 20 = -12
18n = 18
n = 1
Which numbers are the means of the proportion shown below?
2/3 = 20/30
Answer:
The means are 3 and 20.
Step-by-step explanation:
A proportion is simply a statement that two ratios are equal. In problems involving proportions, we can use cross products to test whether two ratios are equal and form a proportion. To find the cross products of a proportion, we multiply the outer terms, called the extremes, and the middle terms, called the means.
Consider given proportion
Here, 2 and 30 are the extremes and 3 and 20 are the means.
Answer:the answer is below
Step-by-step explanation: 3 and 20
Which situation described relates to the graph?
A)A small pizza cost $2, and each topping costs an additional $6.
B)A small pizza cost $4, and each topping costs an additional $2.
C)A small pizza cost $6, and each topping costs an additional $2.
D)A small pizza cost $6 and each topping costs an additional $4.
Answer:
C) A small pizza cost $4, and each topping costs and additional $2.
Step-by-step explanation:
Answer:
A small pizza cost $6, and each topping costs an additional $2.
what is 5 1/2-1 2/7 in the simplest form
Answer:
31/14
Step-by-step explanation:
5 1/2 - 1 2/7
By multiplying
5/2 - 2/7
By Elysium
(35-4)/14
31/14
Answer:
[tex]4\frac{3}{14}[/tex]
Step-by-step explanation:
[tex]5\frac{1}{2}-1\frac{2}{7}=\frac{11}{2}-\frac{9}{7}=\frac{77-18}{14}=\frac{59}{14}=4\frac{3}{14}[/tex]
After school, Camille had a science club meeting for 1 hour, followed by a choir rehearsal that lasted for 40 minutes. If Camille got out of school at 2:00 P.M., what time did the choir rehearsal end?
Answer:3:40 pm
Step-by-step explanation:
x=9y
5x+3y= -48
What does x equal?
What does y equal?
you can plug the x value (9y) into the second equation
5(9y) + 3y = -48
45y + 3y = -48
48y = -48
y = -1
x = 9(-1)
x = -9
Answer:
x = 9
y = -31
Step-by-step explanation:
5x+3y
y = -31
x = 9
plug it in
Angel walked 1.34 miles from home to school. He then walked 2.12 miles from school to the park. Finally, he walked 1.94 miles from the park back home. Which trip was the furthest distance? Which trip was the shortest distance?
Answer:
The furthest distance was 2.12 miles from school to the park.
The shortest distance was 1.34 miles from home to school.
The furthest distance was from school to the park, and the shortest distance was from home to school.
Explanation:In order to determine which trip was the furthest distance and which trip was the shortest distance, we need to compare the distances of each trip. Angel walked 1.34 miles from home to school, 2.12 miles from school to the park, and 1.94 miles from the park back home.
Comparing the distances, we can see that the trip from school to the park (2.12 miles) was the furthest distance, while the trip from home to school (1.34 miles) was the shortest distance.
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House prices in a certain area went
up by 150% between 1995 and 2005.
The price of a house in the area was
£180 000 in 2005.
What was its price in 1995?
Answer:
£60000
Step-by-step explanation:
PLZ HELP WILL GIVE 10 PTS + BRAINLIEST THX SO SO SO SO SO SO MUCH!!!!
If (6^2)^p = 6^10, what is the value of p?
a. 2
b. 3
c. 4
d. 5
ty! :D
Answer:
d. 5
Step-by-step explanation:
The parking lot at the theater has 9 rows.There are 40 parking spots in each row. How many cars can park in the parking lot ?
Answer: 360 cars can park in the parking lot.
40 parking spots x 9 rows = 360 cars
-4h - 3 < 9
h < 12
h > -3
h < -3
h > -12
The solution of the inequality is h > -3 ⇒ 2nd answer
Step-by-step explanation:
Let us revise very important notes about solving inequalities
You can add and subtract both sides of inequality by a number without change the sign of inequalityYou can multiply or divide both sides of inequality by a positive number without change the sign of inequalityYou can multiply or divide both sides of inequality by a negative number with change the sign of inequality (-2x < 4 ⇒ ÷ (-2) makes it x > -2)∵ -4 h - 3 < 9
- Start with adding both sides by 3 to separate the variable
in one side and the numerical term in the other side of the
inequality sign
∴ -4 h - 3 + 3 < 9 + 3
∴ -4 h < 12
- Now divide both sides by -4 and use the last note above
∵ -4 ÷ -4 = 1
∵ 12 ÷ -4 = -3
∵ < must change to > (because we divide both sides by (-) number
∴ h > -3
The solution of the inequality is h > -3
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Answer:
h> -3
Step-by-step explanation:
X-5/5+10 simplify this algebraic expression
Answer: X - 5 ÷ 15
Step-by-step explanation: The first step to algebra is to collect like terms. Since X is an a variable, we cannot solve X - 5. But we can solve 5 + 10, since those are both numbers. 5 + 10 is 15. So therefore, your simplified expression would be X -5 ÷ 15.
Hope this helps! Please correct me if I'm wrong! :D
The difference of 5 and n cubed
Answer:
6n
Step-by-step explanation:
Final answer:
The difference of 5 and n cubed is calculated by subtracting n cubed from 5. This involves simple algebraic manipulation.
Explanation:
The difference of 5 and n cubed can be represented as 5 - n³. This means subtracting the cube of the variable n from 5.
To illustrate, if n=2, the calculation would be 5 - 2³ = 5 - 8 = -3.
Therefore, the result of the difference between 5 and n cubed is 5 - n³.
which of the following is not a common procedure leading to foodborne illness:
a. undercooked foods
b. poor personal hygiene
c. overcooked foods
d. food held at improper temp
C overcooked foods will not
The statement which is not a common procedure leading to foodborne illness is overcooked foods, the correct option is C.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that;
Four options related to foodborne illness
Now,
Out of the four options you gave only one is not a common procedure leading to foodborne illness:
a. undercooked foods b. poor personal hygiene c. overcooked foods d. food held at improper temperature
Overcooked foods may lose some of their nutritional value or taste but they are unlikely to cause foodborne illness unless they are burned or charred which can produce harmful chemicals such as acrylamide or polycyclic aromatic hydrocarbons (PAHs). However this is not a common procedure leading to foodborne illness compared to the other options.
Therefore, by unitary method the answer will be overcooked foods.
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Natasha has a red and a white sweater. She can wear with a blue skirt, yellow skirt and a black skirt. How many different combinations can she make
Natasha can make 6 different combinations by pairing 2 sweaters with 3 skirts. She can pair each of her red and white sweaters with each of her blue, yellow, and black skirts.
Explanation:Natasha has a red sweater and a white sweater that she wants to pair with a blue skirt, yellow skirt, and a black skirt. To determine the number of different combinations she can make, we use basic combinatorics. Each sweater can be paired with any of the skirts, so we multiply the number of sweaters by the number of skirts.
Here is the calculation:
Number of sweaters: 2 (red and white)Number of skirts: 3 (blue, yellow, and black)Thus, Natasha can make 2 sweaters imes 3 skirts = 6 combinations.
These combinations are:
Red sweater with blue skirtRed sweater with yellow skirtRed sweater with black skirtWhite sweater with blue skirtWhite sweater with yellow skirtWhite sweater with black skirtlim x-1 x2 - 1/ sin(x-2)
Answer:
[tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=0[/tex]
Explanation:
Assuming the correct expression is to find the following limit:
[tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}[/tex]
Use the property the limit of the quotient is the quotient of the limits:
[tex]\lim_{x \to 1}\frac{x^2-1}{sin(x-2)}=\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}[/tex]
Evaluate the numerator:
[tex]\frac{\lim_{x \to 1}x^2-1}{\lim_{x \to 1}sin(x-2)}=\frac{1^2-1}{\lim_{x \to1}sin(x-2)}=\frac{0}{\lim_{x \to 1}sin(x-2}[/tex]
Evaluate the denominator:
Since [tex]\lim_{x \to1}sin(x-2)\neq 0[/tex][tex]\frac{0}{\lim_{x \to1}sin(x-2)}=0[/tex]
Sheila mixed 3 ounces of blue paint with
2 ounces of yellow paint. She decided to
create 20 ounces of the same mixture. How
many ounces of yellow paint does Sheila
need for the new mixture?
Answer:
she needs 6 ouonces of yellow paint
Step-by-step explanation:
she has 5oz, 3 blue: 2 red, she needs 20oz. which means she needs 15oz more. 15/5=3. 3*2=6
Tanya went to Robs diner for lunch and received the bill for her meal even though the receipt was ripped she still knew that the sales tax was 6.5%. how much is the total for her meal after the sales tax is added to the subtotal of $8.50?
Answer:
Therefore total for her male after the sales tax is added to the subtotal of $8.50 is = $(8.50+0.55) = $9.05
Step-by-step explanation:
Given the sales tax was 6.5%.
The sales tax for Tanya's meal is [tex]=\$ \frac{6.5}{100}\times 8.50[/tex]
= $0.55
Therefore total for her male after the sales tax is added to the subtotal of $8.50 is = $(8.50+0.55) = $9.05
Mrs. Morales wrote a test with 19 questions covering spelling and vocabulary. Spelling questions (x) are worth 5 points and vocabulary questions (y) are worth 10 points. The maximum number of points possible on the test is 100.
Part 1 out of 4
Write an equation in slope-intercept form to represent the number of questions on the test.
The equation is .
Answer:
# of questions : y = -x + 19
Step-by-step explanation:
if ur only wanting the equation for the number of questions on the test, then it would be : x + y = 19......y = -x + 19 in slope intercept form.
and if u were wanting the number of points, then it would be :
5x + 10y = 100.....10y = -5x + 100.....y = -1/2x + 10. in slope intercept form
To express the number of questions on Mrs. Morales' test in slope-intercept form, first write the total point equation 5x + 10y = 100, then simplify and solve for y to get the slope-intercept form y = -0.5x + 10.
Explanation:To write an equation representing the number of questions on Mrs. Morales' test, we must consider the total points possible and the value of each question type. The spelling questions (x) are 5 points each, and the vocabulary questions (y) are 10 points each. The total points for the test are 100, which leads us to the equation 5x + 10y = 100.
However, to put this into slope-intercept form, we solve for y. Dividing the entire equation by 10 gives us 0.5x + y = 10. Then, isolating y yields y = -0.5x + 10, which is now in slope-intercept form where the slope (m) is -0.5 and the y-intercept (b) is 10.
The slope-intercept form provides a way to see how many vocabulary questions (y) can be on the test for a given number of spelling questions (x).
Why does 5x2/3 =10x1/3
Explanation of how to simplify expressions with exponents by subtracting exponents. The answer shows the equivalence of 5×2/3 and 10×1/3.
The expression [tex]( \frac{5 \times 2}{3} )[/tex] equals [tex]( \frac{10}{3} )[/tex]. Let's break it down:
[tex]\( \frac{5 \times 2}{3} \)[/tex] means you multiply 5 and 2 first, which gives you 10, then you divide by 3, resulting in [tex]\( \frac{10}{3} \)[/tex].
However, if you're asking why [tex]\( \frac{5 \times 2}{3} \)[/tex] and [tex]\( 10 \times \frac{1}{3} \)[/tex] are equal, it's because multiplication is distributive over division.
In other words, [tex]\( a \times \frac{b}{c} = \frac{a \times b}{c} \)[/tex].
So, [tex]\( 10 \times \frac{1}{3} \)[/tex] can be written as [tex]\( \frac{10 \times 1}{3} \)[/tex], which simplifies to [tex]\( \frac{10}{3} \)[/tex], the same as [tex]\( \frac{5 \times 2}{3} \)[/tex].
A parallelogram has one angle that measures 120°. What are the measures One of three angles in a parallelogram?
Answer:
60 degrees
Step-by-step explanation:
First we need to know how many degrees are in a parallelogram. We can use the formula 180(n-2) (n is the number of sides)
This works out to 180(4-2)=360 degrees.
Now we can set up the following equation as:
2(120)+2x=360 Subtract 240 from both sides to get:
2x=120 Divide by 2 to get:
x=60 degrees
Therefore we know 2 angles are each 120 degrees and the other 2 are 60 degrees.