Answer:
2x² - 5x - 3 < 0
let the positive integer be 'X'
5x < 2x² - 3
-2x² + 5x + 3 < 0
The equation is 2x² - 5x - 3 < 0
2b.) What transformation of f(x) does y correspond to?
a.) a verticle translation 4 units down
b.) a verticle translation 4 units up
c.) a horizontal translation 4 units to the left
d.) a horizontal translation 4 units to the right
Answer:
The transformation is " a horizontal translation 4 units to the right " ⇒ (d)
Step-by-step explanation:
Let us revise the translation of a function
If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h) If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h) If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - kLet us look at the graph and choose some points on the f(x) and find their images on y
∵ Point (1, 2) lies on f(x)
∵ Point (5, 2) lies on y
∵ Point (3, 8) lies on f(x)
∵ Point (7, 8) lies on y
→ There is no change in the y-coordinates of the points, the change
only in the x-coordinates
∴ The translation is horizontally
∵ 5 - 1 = 4 units ⇒ positive value means to right
∴ f(x) is translated 4 units to the right
∴ The answer is " a horizontal translation 4 units to the right " (d)
emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job. how much does emelia's job pay in a day when she works 5 and a half hours? write an expression and evaluate for 5 and a half hours.
Answer:
8.74(5)+3.50=47.20
Step-by-step explanation:
She earns $47.20 that day
$51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
What is Expression?An expression is combination of variables, numbers and operators.
Given emelia earns $8.74 per hour plus a gas allowance of $3.50 per day at her job
We need to find how much does emelia's job pay in a day when she works 5 and a half hours
Let us write the given data in the form of expression.
8.74x+3.50
Now for 5 and half hours we have to calculate
8.74(5.5)+3.50
48.07+3.50
51.57
Hence, $51.57 is the amount emelia's job pay in a day when she works 5 and a half hours
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a librarian arranges 4356 books in rows , such that the number of rows is equal to the number of books in each row , find the number of books in each row.
Answer:
66
Step-by-step explanation:
Given that:
Total Number of books = 4356
Number of books in a row = number of rows
Let number of rows = b
Then number of books in each row = b
Total number of books = (number of rows * number of books per row
Hence,
4356 = b * b
4356 = b²
Take the square root of both sides
Sqrt(4356) = b
66 = b
Number of books in each row = 66
How do you solve
8.4-6.8=-3.2y+16.4
Answer:
y = 4.625
Step-by-step explanation:
Subtract 16.4 from both sides and collect terms.
8.4 -6.8 -16.4 = -3.2y +16.4 -16.4
-14.8 = -3.2y
Divide both sides by -3.2.
-14.8/-3.2 = (-3.2y)/-3.2
4.625 = y
The solution is y = 4.625.
Answer:
y=4.625
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
.
+ 1687 – 1575 - 287 = 4808
Answer:
Step-by-step explain
Google is key
I need help with thisssssssssssssssss
9514 1404 393
Answer:
(a) 90°, 90°
(b) 5, 1
(c) 10°, 20°
(d) 10°, 20°, 150°
Step-by-step explanation:
You need to consider ways in which each statement might not apply.
(a) An obtuse angle is greater than 90°. If both angles are 90°, then neither is obtuse.
counterexample: m∠1 = 90°, m∠2 = 90°
__
(b) If the perimeter is 12, the sum of the side lengths must be 6. There are many ways to get two numbers that have a sum of 6. Here's one:
counterexample: length = 5, width = 1
__
(c) All that is required is that the sum of angles be 30°. They don't have to be equal.
counterexample: m∠ABC = 10°, m∠CBD = 20°
__
(d) We know the three angles of a triangle have a sum of 180°, but that does not require it to be an acute triangle. A triangle can also be right or obtuse.
counterexample: m∠P = 10°, m∠Q = 20°, m∠R = 150°
Find the value of x. PLEASE HELP - test tomorrow
The answer is 59.
I need to show my work.
THANK YOU!!!!!
Answer:
b and 59° are vertical angles so they are equal.
b=59°
You deposit $400 in an account that pays 2.4% annual interest compounded monthly a. When does your balance first exceed $500? after years and months b. Use the compound interest formula to find the balance after this amount of time. The balance is $
Answer:
The answer is $88
Step-by-step explanation:
The Math.random () function returns a floating-point, pseudo-random number in the range 0–1 (inclusive of 0, but not 1) with approximately uniform distribution over that range — which you can then scale to your desired range.
If the planes extend infinitely in all directions, where do plane ADB and line EC intersect?
Answer: In point C.
Step-by-step explanation:
Plane ADB is the plane that contains the points A, D and B.
If you look in the image, you can see that point C also does belong to this plane.
Line EC is the line that connects the points E and C.
Now, remember that Point C does belong to the plane ADB, then the point where the plane ADB and line EC intersect is in point C, because it is a common point to both elements.
PLEASE PLEASE PLEASE HELP ME Which of these lines has a slope of -3?
The equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
What is a slope?Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line.
The line is passing through the points ( 0,0) and (1,-3). The slope of the line is calculated by using the formula below:-
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -3 -0 ) / ( 1 - 0 )
Slope = -3
Therefore, the equation of the line showing the slope of -3 is represented by the fourth graph in the image. The correct option is D.
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-33+2x= -6(1 + 5x) +5x
Answer:
=1
Step-by-step explanation:
Determine a relationship between the x- and y-values. Write an equation.
Answer:
X increasing by one and Y decrasees by 2
The correct relation between x and y is [tex]y=x-2[/tex].
Given information:
The table showing the values of x and y is:
x 1 2 3 4
y -1 0 1 2
From the given table, it can be seen that with an increase in the value of x, the value of y also increases.
From the values of y, it can be seen that y increases by 1 unit with a unit increase in x.
The relation between x and y can be written as,
[tex]y=x-2\\y(1)=1-2\\y(1)=-1[/tex]
Therefore, the correct relation or equation between x and y is [tex]y=x-2[/tex].
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(-5)(10) find the product!
Answer:
-50
Step-by-step explanation:
Luckily for us this one is very simple.
(-5)(10) can also be written as [tex]-5*10[/tex] or with any other multiplicative operator (a symbol that represents multiplication). So this becomes very simple multiplication.
We know that when we multiply a positive number by a negative, the result will be negative - and we also know that 5 times 10 is 50. So our result will be: [tex](-5)(10) = -50[/tex]
Which table represents a linear function? DIFFERENT THAN OTHER QUESTION
Answer:
the first table
Step-by-step explanation:
because there's one output for every input
all the numbers under y are imcresing by the samw number(3)
An office printer prints 25 photos in 12.5 minutes. A home printer prints 15 photos in 6 minutes. Which printer is faster?How many more photos can you print in 12 minutes using the faster printer?
Answer: The answer is that the office printer prints faster and it can print 30 photos in 15 minutes.
Step-by-step explanation:
I know this ain't wrong for a fact.
Perform the indicated row operation
Answer:
0, 10, 8, 2
Step-by-step explanation:
Answer:
0 10 8 2
Step-by-step explanation:
edg 2021
working with children. She was hoping to
become a teacher, but changed her mind after learning of additional
education and licensing that she needed to complete. Which of the following
is a good career alternative for Kelly?
The state of Minnesota covers an area of 51 million acres, while the state of Vermont covers 6 million acres. How many times larger is the state of Minnesota as compared to Vermont
Answer: 8.5
Step 1: Multiply by 6 until you reach 51.
6 x 8 = 48.
Step 2: Subtract.
51 - 48 = 3.
Step 3: Convert 3/6 to decimal.
3/6 = .5
Answer = 8.5 times larger
Answer: 8.5
Step-by-step explanation:
Assume that an investment of $9000 earns an APR of 6% compounded monthly for 18 months. How much money is in your account after 18 months?
Mrs. Smith rode the bus 720 miles in 3 days. On the first day, she traveled 3 times as far as she did on the second day. On the third day, she traveled 2 times as far as she did on the second day. How far did she travel each day?
The first day = 3x
The second day = x
The third day = 2x
720 = 3x + x + 2x
Combine like terms.
720 = 6x
Divide both sides by 6
120 = x
The first day = 3x = 3(120) = 360 miles
The second day = x = 120 miles
The third day = 2x = 2(120) = 240 miles
If people blink about 17 times per minute, how many times do they blink in 8 hours?
Answer:
8,160 times in 8 hours.
Step-by-step explanation: What You must do is Multiply 17 and 60 because there are 60 mins in an hours. You get 1,020 blinks an hour. Now multiply 1,020 and 8 to get 8,160 blinks in 8 Hours.
1/6x=-9 multiply each side of the equation by ___
6x + 9 = 4x - 3
2x + 9 =-3
Multiply both sides by 2
- 4(5x-7)=-18
5x - 7 = 4.5
Multiply both sides by-4
8 - 10x = 7+ 5x
4 - 10x = 3 + 5x
Multiply both sides by 1
x = 4
5x =- 16
Add to both sides
- 4x
12x + 4 = 20x + 24
Add to both sides
3x + 1 = 5x + 6
Mrs. Naoe went down a waterslide at Six Flags. What kind of slope would she have?
a positive
b negative
c zero
d undefined
Write the function in vertex form. y=x^2+5x-9
Answer:
The function in the vertex form is y = (x + 2.5)² - 15.25
Step-by-step explanation:
The vertex form of the quadratic function y = ax² + bx + c is:
y = a(x - h)² + k, where
a is the coefficient of x²h, k are the coordinates of its vertex pointh = [tex]\frac{-b}{2a}[/tex]k equals y at x = h∵ The given function is y = x² + 5x - 9
∴ a = 1, b = 5, c = -9
→ Use a and b to find h
∵ h = [tex]\frac{-b}{2a}[/tex]
∴ h = [tex]\frac{-5}{2(1)}=-2.5[/tex]
∴ h = -2.5
→ Find y at x = -2.5
∵ y = (-2.5)² + 5(-2.5) - 9 = 6.25 - 12.5 - 9
∴ y = -15.25
∴ k = -15.25
→ Substitute a, h, k in the vertex form above
∴ y = 1(x - -2.5)² + -15.25
∴ y = (x + 2.5)² - 15.25
The function in the vertex form is y = (x + 2.5)² - 15.25
y = 3/5х + 2 on a graph
Answer:
Go to desmos graphing calculator and put your equation in and it will graph it for you I used it for my math questions like this
Step-by-step explanation:
HOPE THAT HELPS YOU
How would I solve this question?
Answer:
Step-by-step explanation:
ok you have to find which one by
one i mean ( C or L ) DESCRIBES the best
( C ) that is library and u have to find out wut is ( L )
Using f(x) = 3x - 3 and g(x) = -x, find g(f(0))
Answer:
g(-3)=3
Step-by-step explanation:
Please help due tmmrw I'll give you brainliest
Answer:
12
Step-by-step explanation:
AD: AC=3:6, so the ratio is 1:2
AC:AB=6: AB, AB=12
Solve the equation for x.
3x + 11 – X + 23 = 4
Answer:
x = -15
Step-by-step explanation:
3×+34-×=4
2×+34=4
2×+34-34=4-34
2×=4-34
2×= -30
2×/2=-30/2
×= -15
How do we write this in scientific notation?