Answer:
Let the first integer be 'n.' Then n(n+2)+38=(n+2)^2. Solve using the quadratic equation: n=17. The two odd integers are 17 and 19.
Step-by-step explanation:
The integers are -39 and -38.
What are natural numbers, rational numbers, integers and irrational numbers?Natural numbers are: 1, 2, 3, ....
Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )
Rational numbers are numbers which can be written in the form of [tex]\dfrac{a}{b}[/tex] where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.
Irrational numbers are those real numbers which are not rational numbers.
Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.
Given;
The product of two consecutive positive odd integers is 38 less than the square of the greater integer
Now, let the numbers be x and x+
So, the equations will be
x(x+1)-38=(x+1)^2
x^2+x-38=x^2+1+2x
x=-39
x+1=-38
Therefore, the integer numbers will be -39 and -38.
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What is the missing variable???
Can you Please Answer, This question
Min and Evan played a video game. Min scored 6,978 points. This is 3 times the number of points that Evan scored.
How many more points did Min score than Evan?
Step-by-step explanation:
Find the score for evan then subtract the points for min and evan tu find the difference
please help me solve this question i need help pls
the taxi charges in a city consist of a fixed charge together with the charge for the distance covered. For a distance of 10 km, the charge paid is 105 and for a journey of 15 km, the charge paid is 155. How much does a person have to pay for traveling a distance of 25 km?
Answer:
255
Step-by-step explanation:
total cost paid = fixed cost + total variable cost
total variable cost = distance travelled x variable cost per unit
two equations can be derived from the question
a + 10b = 105 equation 1
a + 15b = 155 equation 2
a = fixed cost
b = variable cost per unit
Subtract equation 1 from 2
5b = 50
b = 10
Substitute for b in equation 1
a + 10(10) = 105
a = 105 - 100 = 5
a = 5
cost of travelling a distance of 25km
5 + 10(25) = 255
The first and last terms of a 10-term arithmetic series are listed in the table. What is
the sum of the series? (2 points)
Term Number Term
1
3
10
75
find the remainder
PLSS HELP!
Answer:
The remainder is 24
Step-by-step explanation:
[tex]\frac{3x^4-2x^2+5x-6}{x+2}=[/tex]
[tex]3x^3+\frac{-6x^3-2x^2+5x-6}{x+2}=\\[/tex]
[tex]3x^3-6x^2+\frac{10x^2+5x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x+\frac{-15x-6}{x+2}=[/tex]
[tex]3x^3-6x^2+10x-15+\frac{24}{x+2}[/tex]
Therefore, the remainder is 24.
What is the answer for this?
Answer:
D. Four right angles
Step-by-step explanation:
Answer:
DStep-by-step explanation:
one of the property of all rectangles is that it has four right angles
:-)
help me plesse how do i solve this multi step equation?
Answer:
h = -34/3
Step-by-step explanation:
7h +8 = 4h - 26
Subtract 4h from each side
7h-4h +8 = 4h-4h - 26
3h+8 = -26
Subtract 8 from each side
3h+8-8 = -26-8
3h = -34
Divide by 3
3h/3 = -34/3
h = -34/3
Answer:
h = - [tex]\frac{34}{3}[/tex]
Step-by-step explanation:
Given
7h + 8 = 4h - 26 ( subtract 4h from both sides )
3h + 8 = - 26 ( subtract 8 from both sides )
3h = - 34 ( divide both sides by 3 )
h = - [tex]\frac{34}{3}[/tex]
Plss help me with this equation
Answer:
x = 110 degree
Step-by-step explanation:
Hope this helps u !!
What is the volume of the plastic rocket???
Answer:
A) 151 in³ or 151 cubic inches
Step-by-step explanation:
Volume of rocket = Volume of Cylinder + Volume of Cone
Step 1
Find the volume of the cylinder
Volume of a cylinder = πr²h
r = Diameter/2
= 5/2 = 2.5 inches
h = 6 inches
Hence,
π × 2.5² × 6
= 117.81 cubic inches
Step 2
Find the volume of the cone
Volume of a cone =1/3 πr²h
h = 11 inches - 6 inches
= 5 inches
r = 2.5 inches
Hence,
1/3 × π × 2.5² × 5
= 32.72 cubic inches
Therefore:
Volume of rocket = Volume of Cylinder + Volume of Cone
= 117.81 cubic inches + 32.72 cubic inches
= 150.53 cubic inches
Approximately to the nearest inch = 151 in³ or 151 cubic inches
Option A is correct
Answers include A.5/13
B -5/13
C 5
D -5
Answer:
i solve the question and answer is (a)5/13
Which geometric property is illustrated for the lengths of line segments: If DE = FG then FG = DE A. Reflexive Property B. Symmetric Property C. Transitive Property D. this is not a geomtric property as it does not hold
Answer:
I'm sorry I wish if I could help you but not sure of the answe
Answer:
B.
Symmetric Property
Step-by-step explanation:
8. The product of a non - zero whole number and its successor is always
(a) an even number. (b) an odd number. (c) a prime number (d) divisible by 3.
Answer:
( a ) an even number
Step-by-step explanation:
The product of a non - zero whole number and its successor is always an even number.
Answer:
A
Let a non-zero is X, if X is odd number than Successor become even. ( A+1= even number ) X is odd ×(A+1)= Even. If X is even number than Successor become odd
PLEASE ANSWER 20 POINTS!
Answer:
Base - 7 yards
Height - 10 yards
Area - 35 square yards
Step-by-step explanation:
By definition, the base and height must be perpendicular. Technically, they are interchangeable, but base usually refers to the relative bottom of a figure.
The area of a triangle with base [tex]b[/tex] and height [tex]h[/tex] is equal to [tex]A=\frac{1}{2}bh[/tex].
Therefore, we have:
[tex]A=\frac{1}{2}\cdot 7\cdot 10=\boxed{35\:\text{square yards}}[/tex]
What is the constant of 8x^2-7x+6
Answer:
6 is the constant
Step-by-step explanation:
8x^2-7x+6
The constant is the term that does not change ( the one with out the variable)
6 is the constant
Find the values of x and y
X=
Y=
Answer:
x = 7
y = 4
Step-by-step explanation:
y + 12 = 3x - 5
5y - 4 = 3x - 5
So y + 12 = 5y - x
To solve the equation above, y =4
Sub y = 4,
x = 7
Math help please show work I will mark Brainlist if correct
Answer:
Step-by-step explanation:
(2). 1 yd ≈ 0.9144 m
1 yd³ ≈ 0.76455 m³
2 yd³ ≈ 1.53 m³ ≈ 2 m³
(3). 1 ft ≈ 0.3048 m
1 ft² ≈ 0.0929 m²
162 ft² ≈ 15.1 m²
(4). 1 mi ≈ 1.60934 km
1 mi² ≈ 2.59 km²
503 mi² ≈ 1302.8 km²
The angle measurements in the diagram are represented by the following expressions.
LA=5x-5°
ZB = 3x + 13°
B
Answer:
x=9
Step-by-step explanation:
angle A =angle B (because they are corresponding angles)
5x-5=3x+13
5x-3x=13+5
2x=18
x=18/2
x=9
angle A=5x-5
=5*9-5
=45-5
=40
angle B=3x+13
=3*9+13
=27+13
=40
Answer:
A = B
5X-5 = 3X+13
5X-3X. =13+5
2X =18
X = 9
5X-5
(5×9)-5
45-5
=40
ANGLE A=ANGLE B =40
To solve by completing the square, what needs to be moved in this equation?
x2 = 9 - 4x
A. The x^2
B. =
C. The - 4x
D. The 9
Answer:
To complete the square, we need to have the equation set up like this:
x^2 +4x =9
To do that, we'd need to move the 4x to the left side producing
4x + x^2 = 9
And that can be rewritten as
x^2 +4x =9
So the term that needs to be moved is -4x
https://www.1728.org/quadr2.htm
Step-by-step explanation:
Middle school math!!
What does the graph tell you about the solution to the system equation?
Answer:
Step-by-step explanation:
The two lines intersect at one point. At this one point, the two students will have drunken the same amount of liquid.
There is sufficient info here so that one could determine that time and that volume of liquid if desired.
In a right triangle, the hypotenuse / the opposite side is:
answer choices:
cosine
cotangent
cosecant
secant
Find the slope of the line please! Will mark as brainliest :)
Answer:
D. [tex]\displaystyle \frac{1}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Reading a coordinate graphCoordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify points from graph
Point (-5, -3)
Point (3, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1--3}{3--5}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{4}{8}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{1}{2}[/tex]can yall please help me, try to explain in steps, tyy
Answer:
b. would be the answer bc it goes in a line if you were to connect the dots
HELP:Joyce is dividing into the water. Let the t represent time in seconds and the
h represent height in feet. Her dive is modeled by the equation:
h
-t2 + 10t + 19
You must show all your work on the scratch paper to receive full credit.
1. What is the height of the dividing board where Joyce is standing?
2. How many seconds will it take the diver to reach the maximum height?
3. How high is the maximum height of the diver?
EXPLAIN
Answer:
Part 1)
The height of the diving board is 19 feet.
Part 2)
Five seconds.
Part 3)
44 feet.
Step-by-step explanation:
Joyce's dive is represented by the equation:
[tex]h=-t^2+10t+19[/tex]
Where h represents her height (in feet) after t seconds.
Part 1)
Joyce is on the diving board right before she jumps. Therefore, to find the height of the diving board, we can let t = 0, since this is before she had jumped. Hence:
[tex]h(0)=-(0)^2+10(0)+19=19\text{ feet}[/tex]
The height of the diving board is 19 feet.
Part 2)
Since this is a quadratic, the maximum height will occur at its vertex point.
So, we need to find the vertex. We can use the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = 10, and c = 19.
So, the t-coordinate of the vertex is:
[tex]\displaystyle t=-\frac{(10)}{2(-1)}=5\text{ seconds}[/tex]
Joyce will reach her maximum height after five seconds.
Part 3)
To find the maximum height, simply substitute this value back into the equation. Hence:
[tex]h(5)=-(5)^2+10(5)+19=44\text{ feet}[/tex]
So, her maximum height is 44 feet in the air.
HELP ASAP!! ILL MARK BRAINLIEST! David recorded the ages, in years, of the members of four high school clubs. Each club has the same number of members. A brief description of David’s data is shown.
Music Club: This club has the same number of members older than 16 and younger than 16.
Physics Club: This club has the greatest number of older members.
Sports Club: This club has the greatest number of younger members.
History Club: This club has the oldest member enrolled.
David then made box plots showing his data. Match the labels of the clubs to the box plots. Drag and drop each club into the indicated rectangles.
Answer:
for the music blue the median would be in the middle
for the physics the upper quartile would be the farthest right
for the sports the lower quartile would be the farthest left
for the history the line would go the farthest right
Use the FOIL method to find the product.
(5x-8)(2x + 6)
Answer: 8
Step-by-step explanation:
Answer:
10x² + 14x - 48
Step-by-step explanation:
F: (5x)(2x) = 10x²
O: (5x)(6) = 30x
I: (-8)(2x) = -16x
L: (-8)(6) = -48
combine the two middle terms to get 14x
10x² + 14x - 48
Which is the graph of f(x) = (x + 3)(x - 2)?
Ty
2
4
8
o
- 4 2
4
HELP IM BEING TIMED
Answer:
the too left graph us the abswer,
Because
f(x) = (x + 3)(x - 2) has positive cieff of the x^2 term, and also it has roots of -3 and 2
The graph of the function f(x) = (x + 3)(x - 2) is first graph.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To graph the function f(x) = (x + 3)(x - 2), we can start by finding its x-intercepts, y-intercept, and any vertical or horizontal asymptotes.
First, to find the x-intercepts, we set y = 0 and solve for x:
(x + 3)(x - 2) = 0
This equation is true when x = -3 or x = 2. Therefore, the x-intercepts of the graph are -3 and 2.
Next, to find the y-intercept, we set x = 0 and evaluate:
f(0) = (0 + 3)(0 - 2) = -6
Therefore, the y-intercept of the graph is -6.
The graph of f(x) = (x + 3)(x - 2) is a parabola that opens up because the sign of the two factors, (x + 3) and (x - 2), are both positive.
This means that the graph of f(x) will be a parabola that opens up with its vertex located at the point where the two factors are equal to each other
Hence, the graph of the function f(x) = (x + 3)(x - 2) is first graph.
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(3x^2+x)(5x^3-2x^2+7)
Answer:
15x5−x4−2x3+21x2+7x
Step-by-step explanation:
=(3x2+x)(5x3+−2x2+7)
=(3x2)(5x3)+(3x2)(−2x2)+(3x2)(7)+(x)(5x3)+(x)(−2x2)+(x)(7)
=15x5−6x4+21x2+5x4−2x3+7x
=15x5−x4−2x3+21x2+7x
Which equation represents y = x2 + 12x + 27 in vertex form?
y = (x + 6)2 − 9
y = (x + 6)2 + 21
y = (x + 6)2 + 9
y = (x + 6)2 + 27
Answer:
y = (x + 6)² - 9Step-by-step explanation:
Complete the square:
y = x² + 12x + 27
= x² + 2*6*x + 6² - 6² + 27
= (x + 6)² - 36 + 27
= (x + 6)² - 9
Correct choice is A
What is 2 log 5 + 5 log x written as a single logarithm?
Answer:
log (25 x^5)
Step-by-step explanation:
2 log 5 + 5 log x
We know alog b = log b^a
log 5^2 + log x^5
We know log a + log b = log (a*b)
log ( 5^2 * x^5)
5^2 = 25
log (25 x^5)
Answer:
log ( 25x⁵)
Step-by-step explanation:
2log5 + 5log xuse a×log × b = log b^a to transform the expression.
log 5² + log c⁵use log x + log y = log ( x×y ) to simplify the expression
log ( 5² x⁵)Evaluate the power
log ( 25x⁵)