Put the values of x = 4 and y = -2 to the expression 5y² + 3xy - 2x.
Use PEMDAS:
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right).
[tex]5(-2)^2+3(4)(-2)-2(4)=5(4)-24-8=20-24-8=-12[/tex]
if (x+2) is a factor of h(x) = x^3 + 8x² + Ax + 4 , then valoe of A is:
If [tex]x+2[/tex] is a factor of [tex]h(x)[/tex], then by the polynomial remainder theorem, [tex]h(-2)=0[/tex]. So
[tex]h(-2)=(-2)^3+8(-2)^2+A(-2)+4[/tex]
[tex]-8+32-2A+4=0\implies2A=28\implies A=14[/tex]
how to solve this problem in the picture above
Answer:
g=4
Step-by-step explanation:
If you're solving for g, you need to get it alone on one side. The way I did so was to subtract 7 from each side.
15 = 2g + 7
-7 -7
If you do that, the 7 on the right cancels out and you're left with 8 = 2g. To get the g alone, you divide it by it's base on both sides which in this case is 2.
8/2 = 2g/2
That will cancel the 2 out and will leave you with g on the right side and on the left side would be 4 because simple division (8/2=4)
Your final answer should be g = 4
What is the solution to the following equation? 3/8 x + 6(x + 3) = -5( 1/4 x - 1) + 6x x = -13 x = 13 x = 8 x = -8
Answer:
-8 Is the answer
Step-by-step explanation:
x=2y+7
x=y+4
with substitution
x = 2y + 7 (*)
x = y + 4 (**)
Substitute (*) to (**):
2y + 7 = y + 4 subtract 7 from both sides
2y = y - 3 subtract y from both sides
y = -3Put the value of y to the second equation:
x = -3 + 4
x = 1which is of the numbers is composite? 41,77,83,89,97
Answer:
77 is a composite number
Step-by-step explanation:
41 = 1 × 41
77 = 1 × 77 = 7 × 11
83 = 1 × 83
89 = 1 × 89
97 = 1 × 97
Answer:
Step-by-step explanation:I would say 77.The reason is because a composite number is where it has a multiple more than just itself or 1.So what you can do is write the multiples of each number.Then once you do that you can easily tell which numbers are composite and prime numbers.Remember prime numbers are numbers that just have a multiple of one and itself.
Hope this helps!!!!!
Please mark Brainliest!!!!☺
Please hurry!!!!
Does anyone have “algebra 1 B Part 1 semester exam” from Connecticut academy??? I need them please!!!
I'm not in Connecticut academy, but I could help you!!!! :) BTW, I also do Algebra.... Soooo.. I can help!!!
Final answer:
I cannot provide the exam you're seeking, but I can help with Algebra 1 questions.
Explanation:
Apologies, but I cannot provide you with the exam you're seeking. However, I'd be more than happy to help you with any specific questions or concepts you're struggling with in Algebra 1. Just let me know what you need assistance with!
Soft drinks cost $1.89 and refills cost $0.25 each. With $3.80 to spend on the soft drink and refills, what is the maximum number of refills that you can get?
4 less than the product of 6 and a number ?? Help
Answer:
6n - 4
Step-by-step explanation:
product means to multiply
let the number be n, then
product of 6 and n = 6 × n = 6n
4 less than this product means subtract 4 from it, hence
6n - 4 ← required expression
What are the slope and y-intercept of the line?
Slope : rate of change = 2/3 x
Y- int : where the line touches the y axis. Hence, 4
Answer:
Hope this helps!
Step-by-step explanation:
The slope is 2/3
the Y-intercept is 4
y=mx+b
m=slope
b=y-intercept
the heights of subjects in a clinical trial of a new drug is it qualitative or quanitative?
Answer:
The heights of subjects in a clinical trial of a new drug is a quantitative data.
Step-by-step explanation:
Qualitative: If a data represents characteristics, color, quality and it is non-numerical in nature, then it is known as qualitative data.
For example:- favorite color, game, hobby, etc.
Quantitative: If a data represents numerical values, then it is known as qualitative data.
For example:- height, weight, age, etc.
The heights of subjects in a clinical trial of a new drug can be represented by numerical values.
Therefore the heights of subjects in a clinical trial of a new drug is a quantitative data.
35 Points!
Three-tenths of the total volume, v, of water in a bucket spills.
Which statement explains why 310x and 0.3x can each find the volume of the water that spilled?
The fraction 310 is equivalent to the decimal 0.03. Therefore, 310x can be rewritten as 0.03x.
The expressions are not equivalent.
Multiplying by 3 is the same as multiplying by 30%.
Multiplying by 310 is the same as multiplying by 30%.
Answer:
The expressions are not equivalent.
Step-by-step explanation:
Three-tenths of the total volume, v = [tex]\frac{3}{10} (v)[/tex]
= 0.3 × v --- (1)
But, 310x is 310 × v --- (2)
Since (1) and (2) represent the same volume,
0.3 × v = 310 × v
Divide both sides by v,
0.3 = 310 which is a contradiction.
Therefore, the expressions are not equivalent.
The square of a whole number is between 4500 and 4900. The number must be between...
55 and 60
60 and 65
65 and 70
70 and 75
The square of a whole number between 4500 and 4900 must be between 67 and 69, hence the number is in the range of 65 to 70 excluding 70.
The student's question involves finding the whole number whose square falls between 4500 and 4900. To solve for the range of whole numbers, we need to take the square root of both limits. Since the square root of 4500 is approximately 67.08 (rounded down to the nearest whole number is 67) and the square root of 4900 is exactly 70, the whole number must be between 67 and 70. However, since 70 squared gives us 4900, we exclude it from the possible numbers. Therefore, the possible numbers are 67, 68, and 69, which means the correct answer is between 65 and 70.
3/4 ^2
WRITE IT IS A WHOLE NUMBER
Answer:
No.
Step-by-step explanation:
The whole numbers are 0, 1, 2, 3, ... (3/4)^2 is 9/16, which is not a whole number.
find the dimensions of a rectangle with perimeter 74cm if the width and length are consecutive
Answer:
L = 19
W = 18
Step-by-step explanation:
Equation
P = 2*(L + W) Let the Width = WThen the Length = W + 1Givens
P = 74The two consecutive numbers are one after the other.Solution
2*(L + W) = 74 Substitute W + 1 for L 2(W + 1 + W) = 74 Combine like terms on the left2(2W + 1) = 74 Remove the brackets on the left4W + 2 = 74 Subtract 2 from both sides.4W + 2 - 2 = 74 - 2 Combine4W = 72 Divide by 44W/W = 72/4 Do the divisionW = 18L = 18 + 1 = 19Note: If the assumption is incorrect, please finish your sentence with odd or even consecutive numbers. I've used the word consecutive to be un modified. That way consecutive means one number after another.
Help with recursive Arithmetic sequence
Answer:
Slope is 5, y-int is 1, and f(n) = 5n+1
Step-by-step explanation:
So, since we are dealing with an arithmetic sequence, it is linear. If you notice, it is just adding 5 from the previous term. This represents a slope of 5. Increase of 1 in x and increase of 5 in y. Then, f(1) = 6. Since 1 x 5 is 5, and 5 + 1 = 6, the b is 1. This is because the normal 5x is deviated by 1. Since it is arithmetic, that 1 unit deviation will carry on. The last question basically says just write the y=mx + b but just use n and f(n), which is f(n) = 5n + 1.
What is the measure of the third angle in the similar triangles below?
Answer:
65
Step-by-step explanation:
180-80-35=65
Item 18
Question 1
Of the students in your class, 12% are left-handed. What fraction of the students are left-handed? Are there more right-handed or left-handed students? Explain. Write your answers in simplest form.
of the students are left-handed.
of the students are right-handed.
A comparison of these two fractions is:
Final answer:
In a classroom with 12% left-handed students, the fraction representing them is 3/25 after simplification, and with 88% right-handed students, their fraction is 22/25. Since 22/25 is greater than 3/25, there are more right-handed students.
Explanation:
If 12% of the students in your class are left-handed, the fraction of students that are left-handed is 12/100, which can be simplified to 3/25 by dividing both the numerator and the denominator by 4. There are clearly more right-handed students because if 12% are left-handed, then 100% - 12% = 88% are right-handed. The fraction of right-handed students is 88/100, which simplifies to 22/25. Comparing the two fractions, 3/25 for left-handed students and 22/25 for right-handed students, it’s evident that there are more right-handed students in your class.
Please help me fast !!!!!!!
Answer: A. Frederico raised the most money.
Step-by-step explanation:
The easiest way to look at it is to convert the fractions into decimals.
1. 6/7 = .857
2. 5/9 = .3 repeating
3. 11/10 = 1.1
So, when it is put into decimals it is easier to understand who raised the most money (Frederico).
Hope this helps :)
A jar of alphabet tiles contains 10 unique consonant tiles and 5 unique vowel tiles.
Each day, Karen makes 45 loaves of bread at the bakery where she works. Each loaf of bread requires 5 cups of flour. One pound of flour is equivalent to about 4 cups of flour. About how many pounds of flour does Karen need in order to make the loaves of bread?
Answer: 5cups of flour = 1 loaf of bread
45 loaves of bread multiplied by 5 cups of four = 225 cups of flour to make 45 loaves of bread.
225 cups of flour divided by 4 = 56.25 pounds of flour.
Karen needs approximately 56.25 pounds of flour to make the loaves of bread.
Explanation:To find how many pounds of flour Karen needs to make the loaves of bread, we need to convert the number of cups into pounds. Each loaf requires 5 cups of flour, and 1 pound of flour is equivalent to about 4 cups. Therefore, we can set up a proportion to find the number of pounds:
pounds of flour / cups of flour = number of loaves
Let's solve for pounds of flour:
pounds of flour = (number of loaves * cups of flour per loaf) / cups of flour per pound
Plugging in the numbers, we get:
pounds of flour = (45 * 5) / 4 = 56.25 pounds
Therefore, Karen needs approximately 56.25 pounds of flour to make the loaves of bread.
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PLEASE HELP// 40 points
In the coordinate plane shown, how far apart are points E and D? Explain how you can use the Pythagorean theorem to determine this.
Answer:
c is approximately 11.66 units
Step-by-step explanation:
Point E is at coordinates (-3, 5)
Point D is at coordinates (3 ,-5)
Making a right triangle
The x distance is (3--3) = (3+3) 6
and the y distance is (5--5) = (5+5) = 10
We can use the Pythagorean theorem to calculate the hypotenuse, which is the distance from E to D
a^2 + b^2 = c^2
6^2 + 10^2 = c^2
36+ 100 = c^2
136 = c^2
Take the square root of each side
sqrt(136) = sqrt(c^2)
We only take the positive square root since the distance must be positive.
sqrt(4)sqrt(34) = c
2sqrt(34) = c
c is approximately 11.66 units
Simplify: –3(y + 2)2 – 5 + 6y
Answer:
First you'll need to times 3 by 2 which makes 6 which makes your expression now -6(y+2)-5+6y. Then you make -6(y+2) into -6y-12. Which now makes it into -6y-12-5+6y which makes -17 as the answer
Answer:
-3 squared +(-6) +-17
Step-by-step explanation:
Which relation is a function?
{(4, 2),(3, 3),(2, 4),(3, 2)}
{(1, 4),(2, 3),(3, 2),(4, 1)}
{(1, 2),(2, 3),(3, 2),(2, 1)}
{(1, −1),(−2, 2),(−1, 2),(1, −2)}
It would be your second option. It's the only one that passes the vertical line test.
Answer:
2nd option
Step-by-step explanation:
Kyle got in the elevator on the 7th floor. He rode up 2 floors and then down 5 floors. Which expression represents the floor Kyle is on now?
Answer:
7+2-5=f
Step-by-step explanation:
Draw a number line.
Imagine the ground as zero. If Kyle is 7 floors up, then he would be at positive 7.
If he goes up two more floors, he is adding, since he is getting farther away from "zero" or the ground floor.
If he goes down 5 floors, then he would be subtracting 5, since he is going down closer to ground floor.
Hope this helps! (Brainliest please!)
If K is the midpoint of jl ,jk =9x-1 and kl =2x+27, find jl
Answer:
JL = 70
Step-by-step explanation:
If K is the midpoint of the segment, then JK = KL
JK = KL
9x-1 = 2x+27
Subtract 2x from each side
9x-2x -1 = 2x+27-2x
7x-1 = 27
Add 1 to each side
7x-1+1 = 27+1
7x = 28
Divide each side by 7
7x/7 = 28/7
x =4
But we want to find JL
JL = JK + KL
JL = 9x-1 +2x+27
Combine like terms
JL = 11 x+ 26
Substitute x =4
JL = 11*4+26
JL = 44+26
JL = 70
The length of line segment JL, when K is its midpoint and given jk = 9x - 41 and kl = 2x + 27, is 70.
Explanation:This question is related to geometry and specifically the section on line segments. Firstly, if K is the midpoint of line segment JL, that means JK and KL are of equal lengths. So, we can set their equations equal to each other:
9x - 1 = 2x + 27
To solve this equation, start by subtracting 2x from both sides to isolate the variable x on one side:
7x - 1 = 27
Next, add 1 to both sides:
7x = 28
Dividing both sides by 7 gives:
x = 4
Substitute x = 4 into either of the equations, say kl = 2x + 27, gives the length of segment KL as:
kl = 2(4) + 27 = 35
The length of JL would then be twice the length of KL (since K is the midpoint) so:
jl = 2 * 35 = 70.
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The same king cobra is 4.237 meters long. Round the length to the nearest meter.
Answer:
4
Step-by-step explanation:
since 2<5, 4.237 ≈ 4
I currently have 4 wild bunnies running around my yard. They are freaking annoying. Especially because they are doubling in number every month. Assuming this continues how many bunnies will be annoying me in 2 years.
Answer:
y = 67108864 rabbits
Step-by-step explanation:
The equation for growth is
y= a(b)^(t)
where a is the initial amount
b is the growth rate and
t is the time in months
2 years = 24 months
Assuming the population doubles at the end of the 1st month
Substituting in what we know
y = 4 (2) ^ (t)
y= 4 *2 ^ 24
y = 4*16777216
y = 67108864 rabbits
If they do not double at the end of the first month and wait until the second month, divide this number by 2
y = 4 (2) ^ (t-1)
y= 4 *2 ^ 23
y = 4*8388608
y = 33554432 rabbits
What is the area of this circle use 3.14
81
243.06
254.34
300
Answer:
254.34
Step-by-step explanation:
The formula for area of a circle is given by
A = pi * r^2
A = pi * 9^2
A = 81*pi
Using 3.14 as an approximation for pi
A = 3.14*81
A = 254.34
help w math question
1703%1/6
Answer:
If you are saying 1/6 of 1703% then your answer is 2.8383 repeating.
Step-by-step explanation:
Divide 1703 by 1/6
is the following a function?
Answer:
yes it's a function
The graph is not a function as different input but the same output.
What is a function?A function can be defined as the outputs for a given set of inputs.
The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.
Given, A function that is periodic.
If we draw a horizontal line it will intersect the graph at more than one points which lead to different input but the same output so the graph is not a function
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