Step-by-step explanation:
[tex] consider \: \: {2x}^{2} - 13x + 15 = 0 \\ (2x - 3)(x - 5) = 0 \\ 2x - 3 = 0 \: \: \: \: \: or \: \: \: \: \: x - 5 = 0 \\ x = 1 \frac{1}{2} \: \: \: \: \: or \: \: \: \: \: x = 5 \\ \\ \\ hence \: the \: products \: of \: zero \: are \: x = 1 \frac{1}{2} \: and \: x = 5[/tex]
Jacob drove 450 miles at an average rate of 65 miles per hour. Rounded to the nearest tenth of an hour, how long did the trip take
Time = distance / speed
Time = 450 miles / 65 miles per hour
Time = 6.9 hours
is x = 3 a function or not a function ?!
Answer:
x = 3 is not a function because, for one thing, its graph does not pass the vertical line test.
need help with this Q&A 2
Answer:
3
Step-by-step explanation:
the y-intercept is the point (or rather just the y coordinate of that point), where the function crosses the y-axis (that means x=0).
it is possibly visible, that this is at y=3.
Mathematicians 4: Who is Who?
Unit: Factoring Quadratics
Factor the following quadratic equations to determine each person's name: Show your work
Answer:
a. x = -9 or x = -2
b. -5(x - 4)
c. x = -3 or x = 5
d. x = ±7
Step-by-step explanation:
a. First person;
y = x² + 11x + 18
y = x² + 9x + 2x + 18
y = x(x + 9) + 2(x + 9)
y = (x + 9)(x + 2)
y = x = -9 or x = -2
b. Second person;
y = -5x + 20
The common factor is 5.
y = -5(x - 4)
c. Third person;
y = x² - 2x - 15
y = x² - 5x + 3x - 15
y = x(x - 5) + 3(x - 5)
y = (x + 3)(x - 5)
y = x = -3 or x = 5
d. Fourth person;
y = x² - 49
Applying the difference of squares formula;
(a² - b²) = (a - b)(a + b)
y = x² - 49 = x² - 7² = (x - 7)(x + 7)
y = (x - 7)(x + 7)
y = x = ±7
I need help please! ASAP!
Answer:
Step-by-step explanation:
Which is not a benefit of direct deposit?
A.
You can plan when you are paying bills.
B.
You can avoid having a hold placed on when funds are available.
C.
The money is available as soon as your employer makes the transfer.
D.
You do not need to drive to the bank to make a deposit.
Answer:
Its B. You can avoid having a hold placed on when your funds are available
Step-by-step explanation:
I just got it right rn.
Solve for x:
2x + 5 = 12
Answer:
x = 7/2
Step-by-step explanation:
2x + 5 = 12
Subtract 5 from each side
2x + 5-5 = 12-5
2x = 7
Divide each side by 2
2x/2 = 7/2
x = 7/2
Answer:
[tex]x = \frac{7}{2} [/tex]
Step-by-step explanation:
Let's solve:
[tex]2x+5=12[/tex]
Step 1: Subtract 5 from both sides.
[tex]2x+5−5=12−5 \\
2x=7[/tex]
Step 2: Divide both sides by 2.
[tex] \frac{2x}{2} = \frac{7}{2} \\
x= \frac{7}{2} [/tex]
Name the marked angle in 2 different ways.
1) angle UWV
2) angle VWU
Use the image to complete the equation below
Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?
IF YOU ANSERW MY MATH QUESTIONS ILL GIVE ADTINAL 50) POINTS FOR each question and crown evry question.
A scientist uses a submarine to study ocean life.
*She begins at sea level, which is an elevation of 0 feet.
*She descends for 91 seconds at a speed of 2.2 feet per second.
*She then ascends for 32 seconds at a speed of 0.7 feet per second.
At this point, what is her elevation, in feet?
Answer:
-177.8 feet below sea level.
Step-by-step explanation:
First, we know that descend means to lower. Anything lower than 0 has to be negative. It says that she descends for 91 seconds at a speed of 2.2 feet per second. So first to find out how many feet she descended in those 91 seconds, you need to multiply 91*-2.2= -200.2. Then, it says that she ascends for 32 seconds at the speed of 0.7 feet per second. It's the same thing, but ascend means to go up. So, we multiply 32*0.7=22.4. Now we add the two numbers together to get -177.8.
Answer:
220.4 feet below sea level
Step-by-step explanation:
use the following formula:
rate x time = distance
(rate going down)(time going down) = distance going down.
so if she starts at 0 feet above sea level, and descends for 91 seconds at a speed of 2.2 ft/sec. you would plug that in as:
(2.2 ft/sec)(91 seconds) = distance of 198 feet.
she then ascends for 32 seconds at a speed of 0.7 feet/second.
so, substitute that;
(0.7 ft/sec)(32sec) = distance of 22.4 feet.
distance traveled downward + distance traveled upward = total distance of location.
198 + 22.4 feet = 220.4 feet
Is how far from work do all the employees live a statistical question
Answer:
need more info sry
Step-by-step explanation:
In the United States, the average public school teacher currently earns an annual salary near $55,202. Reported national average salaries for the last six decades are listed below.
Year National Average
Teachers’ Salary
1960 $4,995
1970 $8,626
1980 $15,970
1990 $31,367
2000 $41,807
2010 $55,202
Determine the average salary increase per year between the years 1980 and 1990.
$1,539.70
$8,367.80
$2,566.20
$1,004.10
A is right
Step-by-step explanation:
Obviously A is the correct answer you have already gave us hint. Btw thanks for the pts
please please please help
Answer:
a S(-3) = 2(-3)(-3)+5(-3)-12
=18-15-12
=-9
b 2x2+5x-12=0
2x2+8x-3x-12=0
2x(x-4)-3(x+4)=0
(2x-3)(x+4)=0
2x-3=0
x=3/2
x=-4
sorry I couldn't answer the other question
quiere cercar con alambre un terreno rectangular que mide 180 m (metros) de largo por 85 m de ancho.¿cuantos metros de alambre necesita? ¿Con qué concepto matemático relacionas esta situación?
You want to wire a rectangular piece of land that is 180 m (meters) long by 85 m wide. How many meters of wire do you need? With what mathematical concept do you relate this situation?
Answer:
The wire required to fence is 530 m.
Step-by-step explanation:
Length, L = 180 m
Width, W = 85 m
The perimeter of the wire is
P = 2 (L + W)
P = 2 (180 + 85)
P = 530 m
So, the wire required to fence is 530 m.
How do I do this ( answer please )
Answer:
I think see what circuit is connected to the light
Step-by-step explanation:
PLEASE HELP!! The slope of the line below is 2.5. Write the equation of the line in point-slope
form, using the coordinates of the labeled point. Do not use parenthesis on the y-side.
Answer:
y = 2.5x
Step-by-step explanation:
y = mx + b
m=2.5 (slope) --> y=2.5x+b
coordinate : (2,5) 2 is the x coordinate, 5 is the y coordinate
to Find b, input the coordinate --> 5 = 2.5(2) + b
5 = 5 + b
0=b
y= 2.5x
This is only since it asked to solve using the point. If you look at the graph, the line intercepts the y-axis at (0,0) so b=0.
hope this helps
The equation of the line in point-slope form, using the coordinates of the labeled point, is y = 2.5x.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
Given:
The slope of the given line is 2.5.
And line passes through the point (2, 5) and have a slope 2.5,
then the equation of the line is,
y - 5 = 2.5 (x - 2)
y = 2.5x
Therefore, the equation of the line is y = 2.5x
To learn more about the slope;
brainly.com/question/3605446
#SPJ2
In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?
66.7%
-50%
-33.3%
50%
Answer:
-33.33%
Step-by-step explanation:
((450-300)÷450)×100
(150÷450)×100
-33.33%
WILL GIVE BRAINLIEST IF CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answer:
y = 3/4 x - 9/2
Step-by-step explanation:
Slope = 3/4
y = mx + b
y = 3/4x + b
0 = 3/4 (6) + b
0 = 18/4 + b
-9/2 = b
y = 3/4 x - 9/2
Mike and his dad are retiling his bathroom floor. They have budgeted $200 for the tiles and supplies. The tiles cost $1.85 each and they have spent $114.90 on supplies. Write an equation and solve the equation.
Answer:
Equation: $114.90 + $1.85x = 200
Solution: They can buy 46 tiles.
Step-by-step explanation:
First, subtract 114.90 from both sides to get 1.85x = 85.10.
Divide 85.10 by 1.85 to get 46, which is the answer.
What’s the length of AB?
-12 UNITS
-6 UNITS
-10 UNITS
-14 UNITS
Answer:
the answer would be ten units
Step-by-step explanation:
use the Pythagorean theorem
A^2 + b^2 = C^2
8^2 + +6^2 = 10^2
Each month, Kelsey donates 1/5 of her allowance to her school for supplies. 1/2 of that amount goes to the chorus class. How much of her allowance goes to supplies for the chorus class?
Please show your work.
Thank you :)
A fruit company recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,000. The anticipated profit for the end of the fourth year is $68,200. After the first year, the ratio of change in time to change in profit is constant. Let x be years and P be profit in dollars. a. Write a linear function P(x) that expresses profit as a function of time. P(x)=
Answer:
P(x) = 35,900 + 2,800(x-1)
Step-by-step explanation:
P(x)
P(1) = $35,900
P(4) = $44,300
Difference in profits
P(4) - P(1)
= P(3)
= $44,300 - $35,900
= $8,400
Rate of change per year = $8,400 / 3
= $2,800 per year
The linear equation
P(x) = 35,900 + 2,800(x-1)
Where
x = number of years
PLZZ HELP ME ITD MEAN THE WORLD
Answer: 33/3
Step-by-step explanation:
I don't know the question is weird but it probably is 33/3
Find the measure of angle 5
I WILL GIVE BRAINLIEST TO THE CORRECT ANSWER
Answer:
-4x+161
Step-by-step explanation:
why-
because it is correspondoing so that is the answer
Ms.Jane runs a boutique in Jumeirah. She bought 50 m cloth to stitch shirts for her boutique.If one shirt requires 2m 15cm of the cloth then
Answer: 23 shirts
Step-by-step explanation:
Given
Ms. Jane bought 50 m cloth to stitch shirts
If one shirt requires 2m and 15 cm cloth i.e. [tex]2+0.15=2.15\ m[/tex]
No of shirts that can be made using 50 m cloth
[tex]\Rightarrow \dfrac{50}{2.15}=23.25\approx 23\ \text{Shirts}[/tex]
Therefore, Ms. Jane can made 23 shirts from 50 m cloth.
The measure of 1 in the diagram below is 113º.
What is the measure of <4?
Answer: 67°
Step-by-step explanation:
From the diagram given, we can see that 1 and 4 are angles on a straight line. It should be noted that sum of angles on a straight line equals to 180°.
Therefore,
Angle 1 + Angle 4 = 180°
113° + Angle 4 = 180°
Angle 4 = 180° - 113°
Angle 4 = 67°
Therefore, the measure of <4 is 67°
The graph shows two lines, A and B.
у A 6 А. B Сл 4 3 N 1 0 1 2. 3 4 5 6
Part A: How many solutions does the pair of equations for lines A and B have? Explain your answer. (5 points)
Part B: What is the solution to the equations of lines A and B? Explain your answer. (5 points)
Answer with explanation:
Part A:
One solution.
The number of points of intersection represents the number of solutions. Since the two lines only intersect at one point, there is only one solution.
Part B:
(3, 4)
The point(s) of intersection marks the solution(s) to the lines. Since lines A and B intersect at the point (3, 4), the solution to the equation of their lines is (3, 4), or [tex]x=3, y=4[/tex], as coordinates are written as (x, y).
Distribute 5x\left(1+3x\right).5x(1+3x)
Answer:
5x + 15x²
Step-by-step explanation:
Given the expression 5x(1+3x)
Generally, according to the distribution rule,
A(B+C) = AB + AC
A is distributed over B and C
Similarly,
5x(1+3x)
= 5x(1) + 5x(3x)
= 5x + 15x²
Hence the expression required is 5x + 15x²
find the measure of an interior angle of a regular decagon (10 sided polygon)
Answer:
1440°
Step-by-step explanation:
The sum of angles in a polygon is (n - 2)180 where n = number of sides.
A decagon has 10 sides, so n = 10
(10 - 2)180
8(180) = 1440°
Answer:
the answer is 144
Step-by-step explanation: