The formula for the given condition will be x=14t, where x is the number of books that Tea has and t is the number of books that Joseph has.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression in mathematics is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) You can think of expressions as being comparable to phrases. A phrase in language may contain an action on its own, but it does not constitute a whole sentence.
Here,
let x be number of books tea have be x,
Joseph has 14 books.
Tea have t times the book joseph have,
x=14t
The expression for the given condition will be x=14t where Tea have t times the book joseph have and x be number of books tea have.
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In 1/4 cup lemonade, there is 1/3 cup sugar. How much lemonade would 1 cup sugar make?
Answer=
Cups
Hello please solve this
Find all zeros of
F(x)=x^3-7x-6
Answer:
{-2, -1, 3}
Step-by-step explanation:
You want the zeros of F(x)=x^3-7x-6.
Descartes' rule of signsThe signs of the coefficients in order of decreasing degree are +--. There is one sign change, so there is one positive real root.
Rational root theoremThe rational root theorem tells you any real roots will be divisors of the constant, 6. Hence, we only need to try ±1, ±2, ±3.
The sum of coefficients is 1-7-6 = -12, so x=1 is not a solution. The positive solution is greater than +1.
The sum of coefficients of odd-degree terms is (1 -7) = -6, equal to the sum of coefficients of even-degree terms (0 -6) = -6, so -1 is a root.
FactorizationThe attachment shows F(x) divided by the corresponding factor (x+1) using synthetic division. The quotient is (x² -x -6), so we know the factorization is ...
F(x) = (x +1)(x² -x -6) = (x +1)(x -3)(x +2)
The zero product rule tells us the roots are ...
x = {-2, -1, 3}
The graph of the function tells us the same thing.
__
Additional comment
The constants in the binomial factors of x² -x -6 will be factors of the constant term, -6, that sum to the linear term coefficient, -1. These are -3 and +2.
We like a graphing calculator for finding roots of a cubic and higher-degree polynomials. It will show only the real roots, so more steps are required for complex roots.
Explain step-by-step how to simplify -5(2x - 3y + 6Z - 10)
Answer:
-10x + 15y - 30z + 50
Step-by-step explanation:
apply the distributive property
-10x + 15y - 30z + 50
Sally can paint a room in 5 hours while it takes steven 7 hours to paint the same room. How long would it take them to paint the room if they worked together?
Answer:
2 hours and 55 minutes
Step-by-step explanation:
1/5+1/7-=1/x
12/35=1/x
cross multiply
12x=35
35/12=2 hr 55 mins
convert 7 1/2 cup to tbsp
The conversion of the units is 7 1/2 cup is 112.5 tbsp
How to convert the units?From the question, we have the following parameters that can be used in our computation:
convert 7 1/2 cup to tbsp
This can be represented using the following equation
7 1/2 cup = x tbsp
Express as decimal
x tbsp = 7.5 cups
1 cup = 16 tablespoons
So, we have the following representation
x tbsp = 7.5 * 15 tablespoons
Evaluate
x tbsp = 112.5 tablespoons
Hence, the conversion is 112.5 tablespoons
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What is the length of OP’ if the scale factor of the dilated segment is 2.5?
A. 10cm
B. 2.5cm
C. 6.5 cm
D. 7.5 cm
Select all of the equations that are true.
823÷418=2110
1112÷834=11135
256÷314=319
1223÷614=2275
123÷112=1
There are no equations that 's suitable.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
823÷418=2
1112÷834=1.333333333
Hence, There are no equations that 's suitable.
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A quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6). What is the vertex of the function defined as g(x) = f(x +2) - 2?
If a quadratic function y = f(x) is plotted on a graph and the vertex of the resulting parabola is (4, 6), the vertex of the function defined as g(x) = f(x +2) - 2 is (2, 4).
How to determine the vertex of the function defined as g(x)?In Mathematics, the translation a geometric figure or graph to the left simply means subtracting a digit from the value on the x-coordinate of the pre-image while the translation a geometric figure or graph downward simply means subtracting a digit from the value on the y-coordinate (y-axis) of the pre-image.
In Geometry, the function g(x) = f(x + 2) - 2 simply means shifting a graph of the parent function by 2 units to the left and 2 units down.
In this context, we can reasonably infer and logically deduce that the vertex of the image g(x) is given by;
Vertex = (4 - 2, 6 - 2)
Vertex = (2, 4).
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a plane ticket cost $30 per ticket max ended up haveing to spend $900 how many tickets did he buy ???
Answer:
30 tickets
Step-by-step explanation:
A plane ticket cost $30 per ticket max ended up having to spend $900 how many tickets did he buy ?
900/30 = 30 tickets
How many full cae and additional item are needed to fulfill the order?
80 item ordered item per cae
In linear equation,2 is the number of cases and the number of additional units.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
13 cases of 6 units each = 78
Additional units = 2
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The complete question is -
80 units needed, 6 units per case. What is the number of cases and the number of additional units?
A stalk of wheat grows at a rate of 4 inches every month. Emerson planted A stalk of wheat when it was initially only 6 inches tall. > Create an explicit formula for this situation.
Answer: 4x+6
Step-by-step explanation:
We know that the growth rate is 4 inches every month, so let x represent the number of months, so we have 4x.
We know that it was originally 6 inches, so we have +6
So the equation is 4x+6
If you can, please give me a Brainliest, I only need 2 more to become an Ace, thank you!
What kind of function best models each situation?
Cate started with $0 in her account. After one week Cate saved $1; after two weeks she saved $4; after three
weeks she saved $9; and after four weeks she saved $16.
The function representing the given situation will be f(x) = x², where x is the number of week.
What is function?A function is defined as a relation between a set of inputs having one output each.
Given that, Cate started with $0 in her account. After one week, Cate saved $1; after two weeks she saved $4; after three weeks she saved $9; and after four weeks she saved $16.
As we see,
In 1 week the amount is $1
In 2 week the amount is $4
In 3 week the amount is $9
Which is showing that the amount is square of the week.
Hence, we can write the function as f(x) = x², where x is the number of week.
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Find the x- and y-intercepts of the graph of −2x+y=36. State each answer as an integer or an improper fraction in simplest form.
Answer:
Step-by-step explanation:
y= 2x+36
x=36
Pls help due today!!!!! -
Answer:
-3<2-y<-1
Step-by-step explanation:
1/5 1/y and 1/3 y is
Find the sale price: Sergio bought a belt that was discounted 43% from an original price of $543.
Answer: $309.51
Step-by-step explanation:
100% - 43% = 57%
543 times 0.57 = $309.51
What is the percent of increase from 37.5 to 73.2?
Please help need an answer by tonight :(
Rewrite x^2+4x−20=−8
in the form (x−p)2=q
Step-by-step explanation:
then we do the multiplications and compare :
(x - p)² = q
x² - 2px + p² = q
x² - 2px + p² - q = 0
our target is
x² + 4x - 20 = -8
x² + 4x - 12 = 0
now we compare the variable expression with the target.
x² = x² check
4x = -2px
4 = -2p
p = -2
-12 = p² - q = 4 - q
-16 = -q
q = 16
so, we have
(x - -2)² = 16
(x + 2)² = 16
Please help me do these inequalities.
Answer:
[tex]f=-29[/tex]
Step-by-step explanation:
Multiply both sides by 29.
[tex]-1*29\leq \frac{f}{29}*29[/tex]
Simplify the left side by multiplying −1 by 29.
[tex]-29\leq \frac{f}{29}*29[/tex]
Simplify the right side by canceling the common factor of 29.
[tex]-29\leq f[/tex]
Rewrite so f is on the left side of the inequality.
[tex]f\geq -29[/tex]
You have a recipe that indicates to use 7 parts of sugar for every 4 parts of milk. You use 28 cups of sugar how much milk do you need
You'll need 16 parts of milk and sugar.
What is unitary method ?Area is the total amount of space that an object's shape or a flat (2-D) surface occupy.
Create a square on paper by using a pencil. Tw dimensions make it up. A shape's area on paper is the space it takes up.
Imagine that your square is made up of smaller unit squares.
The area of a figure is equal to the number of unit squares required to completely cover the surface area of a particular 2-D shape. Square cms, square feet, square inches, square meters, etc. are a few common units for measuring area.
To get the area of the square figures presented below, draw unit squares with 1-centimeter sides. Therefore, the shape will be measured.
Hence, You'll need 16 parts of milk and sugar.
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Mona wants to buy some pens. Each pens costs rs 3.50 she can only buy 3 pens with the money she has. which of these could be the money she has?
a. rs 14
b. rs 11
c. rs 10
d. rs 9
Answer:
she would have at least rs 11
Step-by-step explanation:
since each pen cost rs 3.50 she will probably have
3.50 × 3
= rs 10.5
approximately rs 11
Divide negative 3 and one-sixth ÷ negative 8 and two-fifths.
252 over 95
95 over 252
51 over 30
30 over 51
The value of the expression divide negative 3 and one-sixth ÷ negative 8 and two-fifths is 95 over 252. Option B
What is a fraction?A fraction can be defined as the part of a whole item, number or element.
The several types of fractions are;
Simple fractionsProper fractionsImproper fractionsMixed fractionsComplex fractionsFrom the information given, we have that;
-3 1/ 6 ÷ - 8 2/ 5
Turn into improper fractions
-19/ 6 ÷ 42/ 5
Take the inverse of the divisor and multiply
- 19/ 6 × 5/ 42
95/252
Hence, the value is 95/252
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a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet. find the total distance traveled by the ball. (round your answer to two decimal places.)
a ball is dropped from a height of 20 feet. each time it drops h feet, it rebounds 0.89h feet, 343.63 feet the total distance traveled by the ball.
What is distance?The length of the line connecting any two places is known as their distance from one another. Subtracting the different coordinates will reveal the distance if the two locations are on the same horizontal or vertical line.
h₁ = 20 feet = h
h₂ = 0.89h
h₃ = 0.89²h
h₄ = 0.89³h
...........................
h(n) = 0.89ⁿh
Therefore, total distance travelled = 20 + 2 (0.89h + 0.89²h + 0.89³h +.....)
= 20 + 2h (0.89 + 0.89² + 0.89³ +.....)
Sum of (h.p)∞ = a/ (1-r)
Where, a = first term = 0.89
r = common ratio = 0.89
total distance travelled = 20 + 2 × 20 ×(0.89) × [1/(1 - 0.89)]
= 343.63 ft.
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what's the GCF of 3a+5a
The common factor, in this case, is a, so the GCF is still a.
What is the greatest common factor (GCF)?
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share. For example, 12, 20, and 24 have two common factors: 2 and 4. The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
To find the greatest common factor (GCF) of two or more terms, we need to factor each term and then identify the factors that are common to both terms.
In this case, we have the terms 3a and 5a. To find the GCF, we can factor each term as follows:
3a = 3a
5a = 5a
The only common factor between the two terms is a, so the GCF of 3a and 5a is a.
Alternatively, we could have written the terms as:
3a = 3 * a
5a = 5 * a
Hence, The common factor, in this case, is a, so the GCF is still a.
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Help with this real fast
It is growing exponentially so this is non linear function of squares of given negative numbers.
What is function?A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.
Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element. A relation between a domain and range is called a function when each value in the domain only has one value in the range.
Here,
0²=0
-1²=1
-2²=4
-3²=9
Hence, It is a nonlinear function of the squares of the given negative numbers because it is growing exponentially.
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Will give Brainliest if correct answer!
Identify each description of a quadrilateral as one of the following.
I. a characteristic of parallelograms
II. a condition ensuring a quadrilateral is a parallelogram
III. both I and II
Iv. Neither I nor II
a. two pairs of congruent opposite sides
b. two pairs of congruent opposite angles [III]
c. two pairs of consecutive sides are congruent
d. four congruent angles e. one pair of parallel sides and a pair of congruent opposite sides
Answer
l-a
ll-d
lll-c
lV-b
don't think it is completely right but I tried
What is 467 x 6 method
Answer:
2,802
Hope this helps :)
Step-by-step explanation:
1. Multiply the numbers.
467
× 6
2,802
2. Check.
2,802 ÷ 6 = 467 ✓
SY FOR
f(x)= x³ - 8x² + kx-20
When f(x) is divided by (x - 1), the remainder is R.
When f(x) is divided by (x - 2), the remainder is 4R.
Find the value of k.
Applying polynomial division and solving the equation for the value of k using the substitution method, The answer is 32.
What do you mean by a polynomial?Sums of terms with the form kxⁿ, where K is any number and N is a positive integer, are known as polynomials.
What is a substitution method for solving equation?For each of the variables, solve one equation. Solve the other equation by substituting this expression. To identify the matching variable, rewrite the value's original equation.
Divide f(x) by x-1 , we get
k-27=R
Divide f(x) by x-2, we get
2k-44=4R
substitute value of R in second equation and solve, we get
k=32
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what is y=5x-4? Explain
Answer:
It is a LINEAR FUNCTION with the form Y = mX + B where m is the slope
Step-by-step explanation:
Answer:
Slope-intercept form
Step-by-step explanation:
Given equation,
→ y = 5x - 4
Now it is in the form of,
→ y = 5x - 4
→ y = mx + b
(Slope-intercept form)
It is Slope-intercept form.
Jethro added $50 to hi cafeteria account that had $40 already on it. Each time he buy lunch,$4. 50 i deducted from the account. Write an equation in lope intercept form relating the number of lunche he can purchae (x) to the amount of money remaining on the cafeteria account (y). What i the maximum number of lunche Jethro can buy
He has a total of $90 in his cafeteria wallet, thus the most lunches he may purchase is 20.
What is division?
A number is divided in division, which is a straightforward procedure. The simplest way to conceptualize it is as a set of objects being distributed among a set of individuals, as in the example given above. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that can be made. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.
Here,
Amount added=$50
Amount already in wallet=$40
Total amount in wallet=50+40
=$90
Cost of each lunch=$4.5
Number of lunch he can buy,
=90/4.5
=20
The maximum number of lunch he can buy is 20 lunch as he has a total of $90 in his cafeteria wallet.
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Which equation accurately represents this statement? Select three options. Negative 3 less than 4.9 times a number, x, is the same as 12.8. Negative 3 minus 4.9 x = 12.8 4.9 x minus (negative 3) = 12.8 3 + 4.9 x = 12.8 (4.9 minus 3) x = 12.8 12.8 = 4.9 x + 3
Option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.
What is an expression?
It is defined as the combination of constants and variables with mathematical operators.
The options are:
A: -3 - 4.9x = 12.8
B: 4.9x - (-3) = 12.8
C: 3+ 4.9x = 12.8
D: (4.9 - 3)x = 12.8
E: 12.8 = 4.9x + 3
We have a statement:
A negative 3 less than 4.9 times a number, x, is the same as 12.8.
We can write in a mathematical form:
4.9x - (-3) = 12.8
or
4.9x + 3 = 12.8
or
12.8 = 4.9x + 3
Thus, option B, option C, and option E are correct because the equation is Negative 3 less than 4.9 times a number, x, which is the same as 12.8.