Evaluate the expression using the values given.
4y(y + x); use x= 3/2, and y = -5/4
Answers
Answer:
-5/4 or -1 1/4
Step-by-step explanation:
Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:
[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]
Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.
[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]
Now, our expression is a little easier to work with. It looks like this now:
[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]
First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.
[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]
Alright, this is our simplest expression yet. What's -5 times 1/4?
[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]
So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)
Related Questions
Lol pls hurry!!
I need this asap
Answers
Answer: 2, D
Step-by-step explanation: f=-2, so 4x-2 would give -8 add 10 would give 2 as it is for the negative
A large box contains 12 medium boxes and 18 small boxes. Each small box contains 25 chocolate bars while there are 20 vanilla bars in each medium box. How many chocolate bars are in a large box?
Answers
Answer:
Step-by-step explanation:
The answer is there are 450 chocolate bars in the large box because the small box has 25 chocolate bars and it is 18 small boxes in a large box so you will have the problem of 18 x 25= 450
x^2+12x-20/3x-5 = x^2+8x+12/2x+3
[tex] \frac{ {x}^{2} + 12x - 20}{3x - 5} = \frac{ {x}^{2} + 8x + 12}{2x + 3} [/tex]
Solution give;;;
Answers
Answer:
In attachment I have answered this problem.
Simplify.
3 √ b^2
-.2√x^2
Answers
Answer:
[tex]1.3 \sqrt{b {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex]3b[/tex]
[tex]2. - 2 \sqrt{x {}^{2} } [/tex]
Pull terms out from under the radical, assuming positive real numbers.
[tex] - 2x[/tex]
Secondary succession occurs following triggers such as logging, mining, wildfires, or
drought. The presence of soil nutrients allows for a faster recovery.
Hardwood trees
Pine trees
Perennials
and
grasses
Shrubs
Answers
Answer:7777
Step-by-step explanation:
.Evaluate the radical expression 256−−−√4. Enter your answer as a whole number, like this: 42
Answers
Answer:
254
Step-by-step explanation:
First get the square root of 4 and that is 2. Then minus it in 256 and you will get 254.
Hope it can help you lovelots
The solution to the radical expression 256-√4 will be 254.
What is a radical expression?An expression with the radical (√) symbol is referred to as a radical expression in mathematics. Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The given radical expression will be solved as below:-
256-√4 = 256 - 2
= 254
Therefore, the solution to the radical expression 256-√4 will be 254.
To know more about radical expression follow
https://brainly.com/question/1601861
#SPJ5
Anyone able to help?!
Answers
[tex]\cos \theta = \dfrac 12\\\\\implies \theta = 2n\pi \pm \dfrac{\pi}3\\\\\text{For n =0 ~ \text{and}~ n=1}\\\\\\\theta = \dfrac{\pi}3 , \dfrac{5\pi}{3}\\\\\text{In degrees,}\\\\\theta = 60^{\circ} , ~ 300^{\circ}[/tex]
Question
The table below gives the value of a hypothetical $10,000 investment in a certain money market fund. Use a calculator or a
spreadsheet program to find an exponential regression model of the formy - ab' for the data set, and use it to estimate
the value of the investment 12 years after purchase.
Time (years) Value of Investment (USD)
0
10,000
1
11,000
2
12, 100
3
13,310
4
14,641
5
16,105,1
6
17,715.61
Answers
Answer:
$31,384.28
Step-by-step explanation:
If you're familiar with Pascal's triangle, you probably recognize the digits of the given values match successive lines of that triangle. This immediately suggests that the base of the exponential function is exactly 1.1, and the model can be written immediately as ...
y = 10000(1.1^x)
For x=12, the value of the investment is predicted to be ...
y = 10,000(1.1^12) ≈ 31,384.28
The value of the investment 12 years after purchase is predicted to be $31,384.28.
__
In any event, a graphing calculator or spreadsheet can deduce the model for you. The attached calculator output shows it to be as described above.
The city commission would like to install new flagpoles that are each 15 yards tall. If there are 3 feet in 1
yard, how tall are the flagpoles in the model?
Answers
If each rabbit consumes 10 pounds of rabbit food each year, then how much rabbit food is consumed in 10 years
Answers
Answer:
100 pounds in 10 years
Step-by-step explanation:
10 pounds per year for 10 years
We simply multiply 10 pounds to 10 years to get 100 pounds
-Chetan K
Solve for b.
b+23=114
Enter your answer as a fraction in simplest form in the box.
b =
Answers
b + 23 = 114
- 23 - 23
b = 91
Not quite sure how this would appear as a fraction.
An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91.
What is the equation?There are many different ways to define an equation.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
More than one variable may be present inside a linear equation.
As per the given equation,
b + 23 = 114
Add -23 both sides
b + 23 - 23 = 114 - 23
b + 0 = 91
b = 91
Hence "An equation is a collection of variables and constants. The value of b for the given equation b + 23 = 114 will be 91".
For more about the equation,
brainly.com/question/10413253
#SPJ3
Joey spends 2/5 his $3,500 monthly salary on rent How much does he spend on rent ?
Answers
Hope this helps!
Answer:
1.400$
Step-by-step explanation:
what if 5476 divided by 74? i need the working out too please!
Answers
I hope that the attachment helps you..
5 An army cook wants to make pudding
for dessert. He has a recipe that calls for
2 cups of milk to make 4 servings. There
are 16 cups in a gallon. How many gallons
of milk does the cook need to make
864 servings of pudding?
Answers
Answer:
27
Step-by-step explanation:
First you dvide 864 by 4 to get 216. Next you multiply the 216 by 2 to find that there are 432 cups in 864 servings. Finally you divide by 16 to turn 432 cups into 27 gallons.
I hope this helps!
Answer:
27 gallons
Step-by-step explanation:
First, multiply each number by 8, so you can get 16 cups.
16 cups to make 32 servings or 1 gallon to make 32 servings
Then find out what you multiply 32 by to get 864 by dividing 864/32 which is 27.
Now multiply the 1 gallon by 27 to get 27 gallons in 864 servings
Original price of a comics book $2.95 Discount 10% Tax 5%
Answers
Answer:
The price of the comic book would be $2.79 after the discount and the tax.
We first take 10% of 2.95 or 0.295 from 2.95 to get our first value of 2.66.
Then we add 5% of 2.66 or 0.133 back to 2.66 to get our last value of 2.79.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Find the value of x.
Answers
parallel lines rules says that adjesent angles are equal. which will give me 69
Find the values of the six trigonometric functions for angle θ.Give answers in simplest form.
Answers
Answer:
Below in bold.
Step-by-step explanation:
The length of the side opposite to theta:
= √(24^2-21^2)
= √(24-21)(24+21)
= √(135)
= 3√15.
sin theta = 3√15/ 24 = √15/8. csc theta = 1/√15/8 = 8/√15 = 8√15/15.
cos theta = 21/ 24 = 7/8. sec theta = 8/7.
tan theta = 3√15/21 = √15/7. cot theta = 7/√15 = 7√15/15.
A rectangle has a height of 362 and a width of 464 + 26 -6 what is the area?
Answers
Answer:
175,208 square units
Step-by-step explanation:
Lets calculate the width first:
464 + 26 - 6 = 484
The area is equal to the length times the width, so
362 x 484 = the area
= 175,208 square units
F(x) = x - 3√×
graph this function
Answers
Y intersects: (0, -square root of 3)
Whalen recorded the amount of money people spent for gasoline to the nearest dollar. Which type of graph would be the most appropriate to illustrate Whalen’s information?
Answers
Answer:
c :)
Step-by-step explanation:
i guessed and got it right <3
what is the point slope form?
Answers
Answer:
2
Step-by-step explanation:
14 blue cars out of 70 cars
Answers
Answer:
66 cars
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Answer:
14-70=56
Step-by-step explanation:
its subtraction so you just need 70 and take away 14.
reasoning being that theyre all still cars no matter the color and you just need to take away 14 from 70, leaving you with 56.
[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!
Answers
Answer:
10.4
Step-by-step explanation:
x=3⇒f(3)= 4×3+3=15
x=3⇒g(3)=8/3+2≈4.6
f(3)-g(3)=15-4.6=10.4
which number is not a member of the solution set of the inequality 4x ≥ 18
A. 4.4
B. 4.5
C. 4.6
D. 4.7
Answers
Answer:
4.4
Step-by-step explanation:
4 (4.4) ≥ 18 does not make sense. 4 x 4.4 = 17.6, which is not more than or equal to 18.
Answer:
Step-by-step explanation:
Find the measure of
Answers
Answer:
64
Step-by-step explanation:
360-115-129=116 (the sum of exterior angles of triangle is 360)
180-116=64
How is sin 10° = cos 80°??
Answers
Check the picture below.
Answer:
See below.
Step-by-step explanation:
Location is Q1
Angle is less than 90
cos Ф = sin(90° - Ф)
cos 80° = sin (90° - 80°)
cos 80° = sin 10° set your calculator in degree mode
Check
cos 80° = 0.1736481777
sin 10° = 0.1736481777
In a family with 77 children, excluding multiple births, what is the probability of having exactly 22 girls
Answers
Answer:
22/77
Step-by-step explanation:
just put the probable amount over the total amount for these
Kayla drives her new car to work every day. It uses 1 3/5 gallons of gas for each round trip. How many round trips to work can Kayla drive on a 16-gallon full tank of gas?
Answers
Answer:
16 road trips
Step-by-step explanation:
Help with this one please
Answers
[tex]\huge \bf༆ Answer ༄[/tex]
The Translation can be expressed as : -
A Translation -
up 3 units and left 4 units[tex]꧁ \: \large \frak{Eternal \: Being } \: ꧂[/tex]
The length of a rectangle is 2 in longer than its width.
If the perimeter of the rectangle is 68 in, find its length and width.
Answers
Answer:
Length: 18
Width: 16
Step-by-step explanation: