Answer:
The attached image below is what y>x2-4x+3 would look like
−9−5x>-1
2
-5
-10
Or none
Which of the following values are solutions to the inequality
Answer
If my answer is ok for you rate my answer
Answer:
-5 and -10
Step-by-step explanation:
-9-5(-5)
-9+25
=16
-9-5(-10)
-9+50
=41
Write an equation in Standard Form that passes through the point (-8, 7) and has a slope of -3.
Answer:
3x+y=-17
Step-by-step explanation:
Standard form is written as: Ax+By=C where the slope is always -A/B
-A/B = -3/1
A= 3 and B=1
3x+y=C
Plug in point to solve for C
3(-8)+7=C
-24+7=C
-17=C
3x+y=-17
who found roman numerals?
Answer: the ancient Romans
Step-by-step explanation:
Answer:
Step-by-step explanation:
jefferson thompson made the numberal numerebaals
The cost in dollars) of producing a high-end plasma television sets is C = g(2) = 550 + 402. Find a formula for the inverse function g'.g-'(C)=
Given:
The function is,
[tex]g(x)=550+40x[/tex]Explanation:
Assume y = g(x). So
[tex]\begin{gathered} y=g(x) \\ =550+40x \end{gathered}[/tex]Replace variable x with y and y with x.
[tex]x=550+40y[/tex]Solve the equation for y.
[tex]\begin{gathered} x=550+40y \\ 40y=x-550 \\ y=\frac{x-550}{40} \end{gathered}[/tex]So inverse of function g(x) is,
[tex]g^{-1}(x)=\frac{x-550}{40}[/tex]AN ENGLISH EXAM CONSISTS OF TEN ESSAY QYESTIONS. IF A STUDENT MUST CHOOSE 4 OF THE 10 QUESTIONS HOW MANY DIFFERENT SETS OF 4 QUESTIONS ARE AVAILABLE?
Given
Number of questions in an english exam = 10
Find
Number of different sets of 4 questions are available.
Explanation
as we have given that a student must choose 4 of the 10 questions.
so , number of different set of 4 questions are available =
[tex]^{10}C_4[/tex]so ,
[tex]\begin{gathered} ^{10}C_4=\frac{10!}{4!(10-4)!} \\ \\ ^{10}C_4=\frac{10!}{4!6!} \\ \\ ^{10}C_4=\frac{10\times9\times8\times7\times6!}{4\times3\times2\times1\times6!} \\ \\ ^{10}C_4=\frac{5040}{24} \\ \\ ^{10}C_4=210 \end{gathered}[/tex]Final Answer
Hence , the number of different sets of 4 questions are available are 210
so for the trouble this is the last one. and thank everyone for your help.
Mr. Lambert borrows $900 from a credit union to buy a new laptop. The credit union charges 6.5 % simple interest per year. How much interest will he owe if it takes him 18 months to repay the loan? Round to the nearest cent.
$87.75
Step-by-step explanation:
900×6.5%×18months
=58.5×1.5years
=87.75
housing uses 3 cups of sugar to make 36 muffins how many cups of sugar will she need to make 60 muffins
housing uses 3 cups of sugar to make 36 muffins how many cups of sugar will she need to make 60 muffins
3 per 36
36 / 3 = 12
_______________
1 cups per 12 muffins
I need to know the answer to this problem... 3/4(x-8)=-1/2
Answer: x=22/3
Step-by-step explanation: Combine multiplied terms into a single fraction. Distribute. Multiply all terms by the same value to eliminate fraction denominators. Cancel multiplied terms that are in the denominator. Multiply the numbers. Add 24 to both sides. Simplify. Divide both sides by the same factor. Simplify.
A shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. What was the wholesale price?
The wholesale price of the pair of shoe Jill bought is 100 dollars.
How to find the wholesale price of the shoe?Mark up is the difference between a product's selling price and cost as a percentage of the cost.
The shoe store marks up the price of shoes by 35%. Jill wants to buy a pair of shoes that cost $135. The wholesale price of the of the shoe can be calculated as follows:
mark up % = 135 - x / x × 100
where
x = wholesale price35 = 13500 - 100x / x
cross multiply
35x = 13500 - 100x
35x + 100x = 13500
135x = 13500
divide both sides by 135
x = 13500 / 135
x = 100 dollars
Therefore,
whole sale price = 100 dollars
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How far from the base of a wall must a
17-foot ladder be placed in order to
reach the top of a 12-foot wall.
The 12.04m is far from the base to wall.
How to calculate far from the base of the wall??The word "base" in mathematics is used to refer to a particular mathematical object that is used as a building block. The most common uses are the related concepts of the number system whose digits are used to represent numbers and the number system in which logarithms are defined.
Let the base of the 17ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.
By Pythagorean theorem
12²+X²=17²
x²=17²-12²=145
x=√145=12.04
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Simplify the following complex rational expression completely. Detailed Step By Step
Given:
[tex]\frac{\frac{1}{7}+\frac{1}{x}}{\frac{x}{7}-\frac{7}{x}}[/tex]Let us write the numerator as a single fraction, as well as the denominator. This can be written as:
[tex]\frac{\frac{x+7}{7x}}{\frac{x^2-49}{7x}}[/tex]Division by a fraction may become a mu
[tex]\begin{gathered} \frac{x+7}{7x}\times\frac{7x}{x^2-49} \\ \\ =\frac{x+7}{7x}\times\frac{7x}{(x+7)(x-7)} \\ \\ =\frac{1}{x-7} \end{gathered}[/tex]S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.
Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:
[tex]S=\frac{k}{G}[/tex]Where "k" is the Constant of Variation.
Knowing that:
[tex]S=4[/tex]When:
[tex]G=1.8[/tex]You can substitute values and solve for "k":
[tex]\begin{gathered} 4=\frac{k}{1.8} \\ \\ (4)(1.8)=k \\ \\ k=7.2 \end{gathered}[/tex]Then, the equation that models the situation is:
[tex]S=\frac{7.2}{G}[/tex]Substituting this value of "G" into the equation and evaluating:
[tex]G=6[/tex]You get:
[tex]S=\frac{7.2}{6}=1.2[/tex]Hence, the answer is:
[tex]S=1.2[/tex]Mindy gets 3 dollars a week for allowance. She saved all of her allowance for 10 weeks, and then she bought a shirt for 24 dollars. How much money did
she have left?
Answer:
$6 left
Step-by-step explanation:
since she saved up for 10 weeks= 3*10
$30-$24(price of the shirt)
=$6
A survey estimates the current average cost of college to be $34,179.
(a) If the average cost of college increased by 7.4% each year, what will be the average cost of college 15 years from now?
(b) If a savings plan offers a rate of 5.4% compounded continuously, how much should be put in the plan now to pay for 1 year of college 15 years from now?
(Round to the nearest cent as needed)
Bill is trying to plan a meal to meet specific nutritional goals. He wants to prepare a meal containing rice, tofu, and peanuts that will provide 283 grams of carbohydrates, 391 grams of fat, and 197 grams of protein. He knows that each cup of rice provides 50 grams of carbohydrates, 0 grams of fat, and 1 grams of protein. Each cup of tofu provides 4 grams of carbohydrates, 13 grams of fat, and 20 grams of protein. Finally, each cup of peanuts provides 35 grams of carbohydrates, 73 grams of fat, and 31 grams of protein. How many cups of rice, tofu, and peanuts should he eat?
♥Answer:
♥Bill needs to eat 5 Cups of rise, 1 cup of tofu and 4 cups of peanuts
♥Explanation:
♥Its simple calculations:
♥As Bill requirement is 350 grams of carbohydrates, 311 grams of Fats and 168 gram of proteins.
♥Each cup of rice provides 42 grams of carbohydrates, 0 grams of fat, and 1 gram of protein.
♥Each cup of tofu provides 4 grams of carbohydrates, 11 grams of fat, and 23 grams of protein.
♥Each cup of peanuts provides 34 grams of carbohydrates, 75 grams of fat, and 35 grams of protein.
♥If he eats 5 cups of rise than he gets 42 × 5 = 210 grams of carbohydrates. similarly he gets 0 × 5 = 0 grams of fats and 1 × 5 = 5 grams of proteins.
♥If he eats 1 cup of tofu than he gets 4 × 1 = 4 grams of carbohydrates. similarly he gets 11 × 1 = 11 grams of fats and 23 × 1 = 23 grams of proteins, and If he eats 4 cups of peanuts than he gets 34 × 4 = 136 grams of carbohydrates. Similarly he gets 75 × 4 = 300 grams of fats and 35 × 4 = 140 grams of proteins.
♥GRAND TOTAL BECOMES
♥CARBOHYDRATES: 210+4+136=350 grams
♥FATS: 0+11+300= 311 grams
♥PROTEINS:5+23+140=168 grams♥
Consider the function f(x)=2(3)x.
What are the coordinates of the y-intercept of the function?
The coordinates of the y-intercept of the function is (0, 2)
How to determine the coordinates of the y-intercept?The equation of the function is given as
f(x) = 2(3)x
The equation is an exponential function
So, we need to represent it properly
The equation of the function is:
f(x) = 2(3)ˣ
Next, we set the x-coordinate to 0
So, we calculate the y-intercept
f(0) = 2(3)⁰
Evaluate the equation
f(0) = 2
This means that the y-intercept of the function is (0, 2)
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Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.
Step 1
Given; Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.
[tex]\begin{gathered} new\text{ value=142.3} \\ reference\text{ value=167.5} \end{gathered}[/tex]Step 2
[tex]Absolute\text{ change=142.3-167.5=-25.2}[/tex][tex]\begin{gathered} relative\text{ change=}\frac{142.3-167.5}{167.5}=-\frac{252}{1675}\times100 \\ relative\text{ change=-}\frac{1008}{67}\text{ \%} \\ \end{gathered}[/tex]Answer;
[tex]\begin{gathered} Absolute\text{ change=-25.2} \\ Relative\text{ change=-15.04\%} \end{gathered}[/tex]Caley is trying to find the best deal on a flight from New York to Orlando. She checks the price each week and tracks how much it changes.
After 3 weeks she pay $208.10.
From the question, we have
After 3 weeks she pay =
$211.30+$22.50-$17-$8.70 = $208.10
Subtraction:
Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.
The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.
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Find two supplementary angles if the measure of the first is four times the second. Helpful hint: supplementary angles have a sun of 180 degrees
Answer:
I denoted angle a by x and angle b by 4x .Hope it helps
Britta made her last monthly interest-only payment on may 5. her next
payment is due on june 5. what will be the amount of that interest-only
payment?
The amount of that interest-only payment is $21.53.
Define interestsThe term "interest" refers to the extra money an investor makes on top of their investment or the extra money a borrower owes on top of the money they've been loaned. Along with the loan itself, there is an additional sum or interest that must be paid.
Interests come in two types: simple interest and compound interest.
Given,
She has been awarded a $6,000 for 10-year federal loan at 4.29%.
First interest-only payment was done on May 5.
So, on June 5 second interest-only payment is done.
Interest she paid on May 5 is,
First Interest = [tex]\frac{6000*4.29}{12*100}[/tex]
= [tex]\frac{25740}{1200}[/tex]
= $21.45
Thus, the balance after the first interest = $6000 + $21.45
= $6021.45
Interest she paid on June 5 is,
Second Interest = [tex]\frac{6021.45*4.29}{12*100}[/tex]
= [tex]\frac{25832.02}{1200}[/tex]
= $21.53
Thus, the amount of that interest-only payment is $21.53.
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The correct question is:
Britta has been accepted into a 2-year medical assistant program at a career school. She has been awarded a $6,000 unsubsidized 10-year federal loan at 4.29%. She knows she has the option of beginning repayment of the loan in 2.5 years. She also knows that during this nonpayment time, interest will accrue at 4.29%. Britta made her last monthly interest-only payment on May 5. Her next payment is due on June 5. What will be the amount of that interest-only payment?
A cylinder has a radius of 15 millimeters and a height of 17 millimeters.
What is the approximate volume of the cylinder?
O 3,004 cubic millimeters
O 3,405 cubic millimeters
O 12,017 cubic millimeters
O 13,619 cubic millimeters
Answer:
O 12,017 cubic millimeters
Step-by-step explanation:
Volume of cylinder = height x cross-section area(in this question, it's a circle) = hpr^2
17ml x (15ml)^2 x p(ill calculate it in calculator, not as 3.14)
= (approximately) 12017ml^3
Can you explain to me why this question is wrong, and what are the right answers?
Answer:
cos(25) = sin(65)
sin(25) = cos(65)
tan(45) = tan(45)
Explanation:
To know which are the true statements, we will use the following identities
sin(θ) = cos(90 - θ)
cos(θ) = sin(90 - θ)
Therefore,
sin(25) = cos(90 - 25)
sin(25) = cos(65)
cos(25) = sin(90 - 25)
cos(25) = sin(65)
Additionally, tan(45) is equal to itself, so
tan(45) = tan(45)
Therefore, the true statements are
cos(25) = sin(65)
sin(25) = cos(65)
tan(45) = tan(45)
For the number line shown which statement is not true?
|d| <|c|
Ic
|c|>c
|d| = d
Answer:
The answer is C
Step-by-step explanation:
it's always the one in the lines at least that's what my math teacher told me he said it's really easy All you have to do is pick the ones with the lines there's more to it when you're doing homework but when there's just like a few questions it's way easier
Answer the question for me please and explain how you got the answer
Given:
a.) y = 2.5 when x = 9
Let's find the constant of variation (k).
For us to be able to determine which of the given choices is the answer, let's plugin x = 2.5 and y = 9 in each of them to see if it will make the equation correct.
CHOICE A: k = 22.5 ; y = 22.5x
2.5 = 22.5(9)
2.5 ≠ 202.5 (False)
Choice A is not the answer
CHOICE B: k = 3.6 ; xy = 3.6
(2.5)(9) = 3.6
22.5 ≠ 3.6 (False)
Choice B is not the answer
CHOICE C: k = 3.6 ; y = 3.6/x
2.5 = 3.6/9
2.5 ≠ 0.4 (False)
Choice C is not the answer
CHOICE D: k = 22.5 ; xy = 22.5
(2.5)(9) = 22.5
22.5 = 22.5 (True)
Choice D is the answer
Therefore, the answer is CHOICE D.
(25xy^2+75xyz+125x^2yz) / (-5x^2y)
(long division)
The answer of the long division is( -5/x)(y+3a+5x).
What is unitary method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units. What can be values and units.Let's say you go to the store to buy six apples. You are informed by the shopkeeper that he is offering 10 apples for Rs 100. In this instance, the value and the units are the price of the apples.Recognizing the units and values is crucial when using the unitary technique to a problem.Always write the items that need to be computed on the right side and the things that are known on the left side to simplify things.We are aware of the quantity of apples and the amount of money in the aforesaid problem.acc to our question-
(25xy^2 + 75xyz +125x^2yz)]/(-5x^2y)[(25xy)(y+3z+5x)]/(-5x^2y)=[-5(y+3a+5x)]/x=(-5/x)(y+3a+5x)hence,The answer of the long division is( -5/x)(y+3a+5x).
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What is the formula for figuring out how far the students walked?
37.
Add all the distances .
3/4 + 1/2 + 2/3 + 3/4 = 8/3 miles
To add fractions you need equal bottom numbers
find the LCM ( Least common multiple of the denominators )
4 , 2 , 3 , 4 = LCM = 12
Multiply each fraction by the same numerator and denominator, to obtain 12 as a bottom number
(3/4 * 3/3) + (1/2 * 6/6) + (2/3 * 4/4) + (3/4 * 3/3)
9/12 + 6/12 + 8/12 + 9/12
Now that all fractions have the same denominator ( bottom number) you can add them.
Add the numerators ( top numbers ) and put 12 as a denominator.
(9 + 6 + 8 + 9 ) / 12 = 32/12
Simplify ( divide both numbers by 4 )
32/12 = 8/3
Rewrite 7.25 as a mixed number in lowest terms.
A)7 2/5
B)7 1/4
C)7 25/100
D)7 1.5
Answer:
B
Step-by-step explanation:25 as a percent is 1/4 of 100 and the seven is the whole number since they are full numbers not decimals
If tan 0= 15/8 and cos 0= -8/17, then what is sin 0?
Enter the answer as a fraction.
Work Shown:
[tex]\tan(\theta) = \frac{\sin(\theta)}{\cos(\theta)}\\\\\sin(\theta) = \tan(\theta)*\cos(\theta)\\\\\sin(\theta) = \frac{15}{8}*\left(-\frac{8}{17}\right)\\\\\sin(\theta) = \boldsymbol{-\frac{15}{17}}[/tex]
Side note: theta is in quadrant III since sin(theta) < 0 and cos(theta) < 0.
2(x2 - 4x) + 5(x + 1)x(2x + 1) - (4x - 5)(x² - 6x + 7) - (x² - 14x + 13)x(3x - 4) - 3(x² + 2) + 122x(x + 1) + x(x + 1)4(x+ - 1.5x) + 2(x? - 3)8x - 62x2 - 3x + 5Don
Starting with the first expression:
[tex]\begin{gathered} (x^2-6x+7)-(x^2-14x+13) \\ \Rightarrow x^2-6x+7+x^2+14x-13 \\ \text{collect like-terms} \\ x^2+x^2-6x+14x-13+7 \\ \Rightarrow2x^2+8x-6 \\ \\ \text{This is not the answer, as it is not the same with the two(2) expressions given in the solution} \end{gathered}[/tex]Simplifying the second expression:
[tex]\begin{gathered} 2(x^2-4x)+5(x+1) \\ \Rightarrow2x^2-8x+5x+5 \\ \Rightarrow2x^2-3x+5 \\ \\ \text{This expression is equal to the option B} \end{gathered}[/tex]Simplifying the third expression:
[tex]\begin{gathered} x(2x+1)-(4x-5)_{} \\ \Rightarrow2x^2+x-4x+5 \\ \Rightarrow2x^2-3x+5 \\ \\ \text{This expression is also equal to option B} \end{gathered}[/tex]Simplifying the fourth expression:
[tex]\begin{gathered} x(3x-4)-3(x^2+2)+12x \\ \Rightarrow3x^2-4x-3x^2-6+12x \\ \Rightarrow3x^2-3x^2-4x+12x-6 \\ \Rightarrow8x-6 \\ \\ \text{This is correct for option A} \end{gathered}[/tex]Simplifying the last expression:
[tex]\begin{gathered} x(x+1)+x(x+1)-4(x^2-1.5x)+2(x^2-3) \\ \Rightarrow x^2+x+x^2+x-4x^2+6x+2x^2-6 \\ \Rightarrow x^2+x^2-4x^2+2x^2+x+x+6x-6 \\ \Rightarrow8x-6 \\ \\ \text{This expression is also true for option A} \end{gathered}[/tex]