Answer:
the choice is equivalent to -25
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.
What is the measure of ZB?
28
36
B
[?] degrees
Enter
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
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]
please help me solve this question i need help pls
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
(4,-5) reflected over y = x
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
What are the two ways to show that a triangle is a right triangle?
A. 1. use slope formula to show all 3 sides have opposite reciprocal slopes
2. use distance formula to show 2 sides are the same length
B 1. use slope formula to show opposite sides have the same slopes
2. use distance formula to show Pythagorean Theorem holds true
C 1. use distance formula to show all 3 sides are equal
2. use slope formula to show two sides are parallel
D 1. use distance formula to show Pythagorean Theorem holds true
2. use slope formula to show that two sides have opposite reciprocal slopes
Answer:
D 1. use distance formula to show Pythagorean Theorem holds true
2. use slope formula to show that two sides have opposite reciprocal slopes
Step-by-step explanation:
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
Jane is saving her money in order to purchase a new racing bike. She initially saves $3 and plans to double the amount she saves each month. The bike Jane wants is $1,536 at the local bike shop.
Which equation represents this situation, and after how many months, t, will Jane have enough money to purchase the bike?
A.
3(2)t = 1,536; t = 9
B.
(3 · 2)t = 1,536; t = 9
C.
3(2)t = 1,536; t = 11
D.
3(1.2)t = 1,536; t = 35
Answer:
D
Step-by-step explanation:
help me please !!!!!
The distance between these two animals is
3850
Bobby has been working at a lemonade stand for quite some time. He initally paid $80 dollars to make the stand. Each lemonade Bobby sells, nets him a $0.25 profit. How much money does bobby have now after selling his 400th lemonade?
Answer:
80=0.25x
0.25(400)=80
100=80
$20= profit
Step-by-step explanation:
write an exponential function in the form y = ab^x that goes through points (0,20) and (8,5120)
9514 1404 393
Answer:
y = 20·2^x
Step-by-step explanation:
Use the given points to write two equations, then solve for 'a' and 'b'.
20 = a·b^0 = a
5120 = a·b^8 = 20·b^8 ⇒ 256 = b^8
b = 256^(1/8) = 2
Your function is ...
y = 20·2^x
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]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)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.
What is the coefficient of 7(-3x+5) +11y
Answer: -21x+35+11y
Step-by-step explanation:
7(-3x+5) +11y
7x-3 7x5
-21x+35+11y
you can't add, subtract, or anything with this, so this will be your final answer.
ILL BRAINLIEST YOU IF YOU HELP ME PLEASE
Answer:
B 15
Step-by-step explanation:
Answer:
15 is correct
Step-by-step explanation:
given the angles are the same we can write it as:
4x-30 =2x
-30=-2x
15=x
with the strategy of writing same angles as an equation, you can solve these math problems hopefully easily yourself.
always get stronger :)
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
(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 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:
What is the missing variable???
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]
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.
please help!!
7.Patrick wants to buy a new computer. He already has
the computer is currently $1,850, but Patrick expects the price to drop by $100 each month Patrick wants to
determine the number of months he will need to save,
a) If a represents the number of months, then weste an equation to represent A, the taal amount Patevek saves,
b) If u represents the number of months, then weste an equation to represent C, the cost of the computer
C) Use your equations from part"t" and part "id" to determine how many months he will need to save before he can
buy the computer Show your work of explain how you yot your answer
Answer:
yes
Step-by-step explanation:
and no
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
Use the side -splitter theorem to solve for x in the triangle below
Answer:
x = 30
Step-by-step explanation:
Side splitter theorem,
"If a line intersects two sides of a triangle and is parallel to the third side of the triangle, will divide the sides proportionally."
Therefore, ratio of the parts of two sides intersected will be proportional.
[tex]\frac{3}{15}= \frac{6}{x}[/tex]
[tex]x=\frac{6\times 15}{3}[/tex]
[tex]x=30[/tex]
Therefore, [tex]x=30[/tex] will be the answer.
