Answer:
x=4 b=-4/3
Step-by-step explanation:
for b you simplify both sides of the equation, and then you get -7b - 1 = 5B + 15 then you subtract 5 from both sides which gets you to -12b - 1 = 15 then you divide both sides by negative 12 which would be negative 12 b - -12 = 16-12 which gives you the answer of -4/3.
for x you would subtract 3x from both sides which gets you to 6x - 17 = 7 and then you would add 17 to both sides which would give you 6X = 24 and then you would divide both sides by 6 which would give you x = 4
The answer choices are 11 1 2.48 6
Answer:
The ball reached its maximum height of ([tex]11\ yards[/tex]) in ([tex]1\ second[/tex]).
Step-by-step explanation:
This question is essentially asking one to find the vertex of the parabola formed by the given equation. One could plot the equation, but it would be far more efficient to complete the square. Completing the square of an equation is a process by which a person converts the equation of a parabola from standard form to vertex form.
The first step in completing the square is to group the quadratic and linear term:
[tex]h(t)=-5t^2 + 10t + 6\\\\h(t) = (-5t^2 + 10t) + 6[/tex]
Now factor out the coefficient of the quadratic term:
[tex]h(t)=-5(t^2 -2t) + 6[/tex]
After doing so, add a constant such that the terms inside the parenthesis form a perfect square, don't forget to balance the equation by adding the inverse of the added constant term:
[tex]h(t) = -5(t^2 -2t) + 6\\\\h(t) = -5(t^2 -2t + 1 -1 ) + 6[/tex]
Now take the balancing term out of the parenthesis:
[tex]\\\\h(t)=-5(t^2 -2t + 1) + 6 + ((-1)(-5))[/tex]
Simplify:
[tex]h(t) = -5(t^2 -2t + 1) + 6 + 5\\\\h(t) = -5(t-1)^2 + 11[/tex]
The x-coordinate of the vertex of the parabola is equal to the additive inverse of the numerical part of the quadratic term. The y-coordinate of the vertex is the constant term outside of the parenthesis. Thus, the vertex of the parabola is:
[tex](1, 11)[/tex]
HELP PLS!!
If the sequence 4, 8, 12, 16 continues, what will be the 7th
term?
Answer:
28
Step-by-step explanation:
In order to find the seventh term in this arithmetic function, you need to find its function; in order to do this, you must first identify the common difference by finding the difference between two consecutive terms:
16 - 12 = 4; the common difference is 4
Now, you need to find the 0th term, which is the 1st term minus the common difference:
4 - 4 = 0
At this point, you can write out the function (where f(n) = [0th term] + [common difference]n:
f(n) = 4n
Finally, you can plug 7 into this function:
f(n) = 4(7)
f(n) = 28, so the 7th term is 28
Is 17/34 and 32/64 proportional why or why not?
Answer:
Yes
Step-by-step explanation:
Both equals to 1/2
That's the answer
Which linear function is graphed on the grid?
a - g(x) = 2/15x - 6
b - g(x) = 2/15x + 45
c - g(x) = 15/2x - 6
d - g(x) = 15/2x + 45
Answer:
G(x)=2/15x-6
Step-by-step explanation:
The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
x/a + y/b = 1
Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.
From the graph, the x-intercept is - 6, and the y-intercept is 45. Then the equation is given as,
x/(-6) + y/45 = 1
- 15x + 2y = 90
y = (15/2) x + 45
g(x) = (15/2) x + 45
The linear function graphed on the grid will be g(x) = (15/2) x + 45. Then the correct option is D.
More about the linear equation link is given below.
https://brainly.com/question/11897796
#SPJ2
The weights in pounds of five cats are 12, 14, 12, 16, and 16. Find the mean, median, mode, and range of the data set.
Answer:
Mean: 14
Median: 14
Mode: 12, 16
Good luck!
Find the missing sides of each triangle. Leave your answers in radical form
Answer:
youbhave give me more information.
Answer:
incomplete question
please write the whole question or diagram of the question
A silk worm grows twice asd long as it was the day before .If the worm measures v40 mm on the 10 th day, on which day was it 2.5 mm long
Answer:
On the sixth day (10 - 4), the worm was 2.5mm long.
Step-by-step explanation:
Giving the following information:
Future Value= 40mm
Present Value= 2.5mm
Number of periods (n)= ?
Growth rate= 100% per day
First, we need to calculate the number of days it will take to grow from 2.5mm (PV) to 40mm (FV):
n= ln(FV/PV) / ln(1+i)
n= ln (40 / 2.5) / ln (2)
n= 4
It will take 4 days.
On the sixth day (10 - 4), the worm was 2.5mm long.
Please help I’m struggling
PLEASE HELP!
Hello! I'm having a lot of trouble figuring out these problems. I'm not asking for all of the answers but, just a better understanding. Thank you!
Answer:
1) 4
2)I think 2
3)4
4)3
5)2
6)1
7)3
Step-by-step explanation:
1) since the x is to squared it is a quadratic equation
3) A and D have same slope=0.5
others were solved using Excel
Answer this question to get marked as brainliest!!!!!
Answer:
A) 80 degrees
Step-by-step explanation:
100-20=80
simplify (2x+1)(x+8) - (x-3)(2x+1)
Answer:
22x+11 is your answer
Step-by-step explanation:
(2x+1)(x+8) - (x-3)(2x+1)
(2x+1)(x+8-x+3)
(2x+1)(11)
=22x+11
What factor is represented by the yellow shading in the model? [Hint: Include the overlapping area.]
Answer:
[tex]Fracton = \frac{1}{6}[/tex]
Step-by-step explanation:
Given
See attachment
Required
The fraction of yellow
From the attached image:
[tex]Yellow = 5[/tex]
[tex]Total = 30[/tex]
So, the fraction is:
[tex]Fracton = \frac{Yellow}{Total}[/tex]
[tex]Fracton = \frac{5}{30}[/tex]
Divide by 5/5
[tex]Fracton = \frac{1}{6}[/tex]
Answer: 4/5
Step-by-step explanation:
What is the equation of the midline of the graph of y=2cos(x/4)−3
Answer:
y = -3
Step-by-step explanation:
y=2cos(x/4)−3
range of cos α : -1 ≤ cos α ≤ 1
-2 ≤ 2cos(x/4) ≤ 2
-5 ≤ 2cos(x/4)−3 ≤ -1 (-2-3= -5 and 2-3= -1) ....Range ( 2 x Amplitude)
midline: midline of y = -1 and y = -5 y = -3
What is the area of a triangle that has a height of 6 ft and a base length of 7 feet?
Answer: 21ft
Step-by-step explanation:
Answer:
the area of triangle is height ×base
6×7=42
i think this is the answer
Write the equation(y=mx) for the line that contains the points (6,6) and (10,14). No picture
Answer:
y = 2x - 6
Step-by-step explanation:
14-6/10-6 = 8/4 = 2 = slope
6 = 2(6) + b
6 = 12 + b
b = -6
7/8 ÷ 7/16 = Reduce your answer to the lowest terms.
Engineers are designing a rollercoaster that at one point goes underground. The rollercoaster’s path underground is a large curve. The engineers use the function shown to model the elevation, ܧ ,in feet and ݐ , time, in seconds, of the rollercoaster’s path while it is underground.
Answer:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
Step-by-step explanation:
One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored:
(x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3
1
The rate of population decline of Seaside
Harbor is modeled by the equation
-0.00810
P(t)=15000e
where t is the time
in years and 15,000 is the current
population. In approximately how many
years will the population of Seaside
Harbor be 9,000?
(−0.0081p)(t)=(15000)(2.718282)
Step 1: Divide both sides by -0.0081t.
−0.0081pt
−0.0081t
=
40774.227427
−0.0081t
p=
−40774.227427
0.0081t
Answer:
p=
−40774.227427
0.0081t
what is x? plz help :)
Answer:
13
Step-by-step explanation:
using the Pythagorean theorem a²+b²=c²
or the two shorter sides square added together equal the longest side squared
5²+12²
5²=25
12²=144
144+25=169
then we just have to take the square root of 169
√169=12
have a great day :D
Karley added 14 bottle caps to her collection. She
now has 54 boule caps. Write and solve an equation to
find the number of bottle caps she originally had.
PLEASE ANSWER !!
Answer:
54 - 14 = 30
Step-by-step explanation:
4x−4<8 AND9x+5>23 thank u for your help
Answer:
x < 3 AND x > 2
Step-by-step explanation:
4x − 4 < 8
4x < 8 + 4
4x < 12
x < 3
9x + 5 > 23
9x > 23 - 5
9x > 18
x > 2
10 minutes to answer
Write an expression equivalent to
4 - (-7)
help
What is the formula for total surface area of
cylinders?
Thanks in advance
Answer:
For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.
Step-by-step explanation:
Paul wants to visit his aunt who lives 300 miles away from his house. He drives his car at about 50 miles an hour. If X represents the time spent driving and why represents the distance from his aunts house which scatterplot could represent the situation
Answer:
It would take 6 hours.
An equation for that could be: 50x = 300 (X is how long it would take)
So 50 mph• X (time spent) = 300 miles
You didn't give me any scatterplots to look at so I can't help you with that sorry
(8.64 × 10^6) × (1.334 × 10^10)
Answer:
8.64x1.334x10^16
11.52576x10^16
PLEASE HELP FAST !!
3/2+19/3
Answer:
28/6 yeah thats right wasp
Answer:
Step-by-step explanation:
When calculating the discriminant if your answer was 16, what does that say about your roots?
Answer:
Your roots are equal to 16
Which of these statements is true? Sin 18° = cos 72°, sin 55° = cos 55°, sing 72° = cos 18°c both a and c
Answer:
Sin 18° = cos 72° and sin 72° = cos 18°
Step-by-step explanation:
According to trigonometry identity;
sin Ф = cos(90 - Ф)
for Sin 18° = cos 72
Ф = 18°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 18 = cos(90 - 18)
Sin 18 = cos 72
Hence the statement id true
For sin 72° = cos 18
Ф = 72°
Substitute into the expression
sin Ф = cos(90 - Ф)
sin 72 = cos(90 - 72)
Sin 72 = cos 18
Hence this statement too is correct
The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°
Write an equation of the line in slope-intercept form. (0,2) (3,3)
i dont see an image
Step-by-step explanation:
Answer: y = 1/3x +2
Step-by-step explanation:
The slope-intercept form of an equation looks like this:
y=mx+b
The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.
We have the two points you entered, so let's start by getting the slope. (1/3)
Now that we have the slope, we can plug it into our equation: y = 1/3x+b
To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2
Hope it helps.
1.What is the principal which would amount to $6 900 in 3 years at 5% simple interest per annum?Required to answer. Single choice.
(1 Point)
a.) $6 885
b.) $6 555
c.) $6 000
d.) $5 865
Answer:
c
Step-by-step explanation:
I just looked up the question