Answer for
14
=
2
x
^2
+
x
Step-by-step explanation:
Rewrite the equation as 2
x^
2
+
x=
14
.
2
x
^2
+
x
=
14
Move 14 to the left side of the equation by subtracting it from both sides.
2
x
^2
+
x
−
14
=
0
Use the quadratic formula to find the solutions.
−
b
±
√
b
^2
−
4
(
a
c
)
2
a
Substitute the values a
=
2
, b
=
1
, and c
=
−
14 into the quadratic formula and solve for x
.
−
1
±
√
1
2
−
4
⋅
(
2
⋅
−
14
)
2
⋅
2
Simplify the numerator.
x
=
−
1
±
√
113
2
⋅
2
Multiply 2 by 2
.
x
=
−
1
±
√
113
4
The final answer is the combination of both solutions.
x
=
−
1
−
√
113
- 1
+
√
113
4 4
The result can be shown in multiple forms.
Exact Form:
x
=
−
1
−
√
113
, −
1
+
√
113
4
4 4
Decimal Form:
x
=
2.40753645
… , −
2.90753645
…
select all values that make the equation true 2(x-8)=x+5x
x= -4
x= -16
x= -2
x= -0
Answer:
x = -4
Step-by-step explanation:
2(x-8)=x+5x
Combine like terms
2(x-8) = 6x
Divide by 2
2(x-8)/2 = 6x/2
x-8 = 3x
Subtract x from each side
x-8-x = 3x-x
-8 = 2x
Divide by 2
-8/2 = 2x/2
-4 =x
Choose all the number sentences that have a sum greater than 495,000
A) 125,678 + 98,567
B) 250,000 + 250,001
C) 382,761 + 108,912
D) 76,850 + 422,074
E) 345,632 + 149,456
Answer:
B, D and E are the correct answers.
Step-by-step explanation:
250,000 + 250,001 = 500,001
76,850 + 422,074 = 498,924
345,632 + 149,456 = 495,088
Hana rents a car for a day. Her car rental company charges $50 per day and $0.40 per mile. Peter rents a car from a different company that charges $70 per day and $0.30 per mile. How many miles do they have to drive before Hana and Peter pay the same price for the rental for the same number of miles?
50 + .4x = 70 + .3x
.4x = .3x + 20
.1x = 20
x = 200
Let x be the number of miles.
They have to drive 200 miles.
They will drive 200 miles before paying same amount.
Let the number of miles that they will drive together and pay the same amount be represented by x.
Since Hana's car rental company charges $50 per day and then $0.40 per mile, this can be represented as:
= 50 + (0.40 × x)
= 50 + 0.40x
Since Peter rents a car from a different company that charges $70 per day and then $0.30 per mile, this will be:
= 70 + (0.30 × x)
= 70 + 0.30x
Then we will equate both Hana's and Peter's equation together and this will be:
50 + 0.40x = 70 + 0.30x
Collect like terms
0.40x - 0.30x = 70 - 50
0.1x = 20
x = 20/0.1
x = 200
In conclusion, they will drive 200 miles before paying thesame amount
Read more on:
https://brainly.com/question/17671517
Lisa and John are working at a summer camp. The amount of money John earned is represented by the equation m=8.5h, where h represents the number of hours John works and m represents the amount of money he earns, in dollar. The table below shows the amount of money Lisa earns while working at summer camp.
Answer:
0.4625
Step-by-step explanation:
Multiply two top numbers and get 0.4625
Answer:
0.4837
Step-by-step explanation:
Add the top number to the bottom and write “tape diagram on paper “
I Mark got 54 out of 66 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form
Please help
Answer: The answer would be 2/11
Step-by-step explanation: Mark answered 54 questions correctly, so Mark missed 12 which gives you 12/66. Then that simplifies to 2/11
-19, -26, -33, -40,.
Find a
Answer:
The next one after -40 would be -47
Step-by-step explanation:
Add negative -7 to every answer
Answer:
Idek I'm.new
Step-by-step explanation:
hom4krid7dndiei3
7TH GRADE ME PLZZ thanks
Answer:
-2/6 or -1/3
Step-by-step explanation:
At noon, the minute and the hour hands of a clock overlap. In how long will they again overlap?
Answer:
In an hour and 5 minutes
(or 60 seconds but it will only overlap for a second)
Explanation:
After 60 minutes it will be an hour and the clock will show 1o'clock, after 5 minutes, the minute hand will be at the "1" so they will over lap at 1:05
Answer: 5.45
(the way I solved it is in the picture)
30 POINTS PLZ HELP I WILL MARK BRAINLIEST
An archer shoots an arrow into the sky where the motion of the arrow can be modeled by the equation
() = −162 + 80 where t is time in seconds and f(t) is height in feet. Find how long it will take the
arrow to hit the ground using an algebraic method. Show all of your reasoning/steps used with this algebraic
method.
what is being asked in the problem?
show work when you solve
explain your answer
Answer:
Since 162 is negative you subtract 162-80 which is 82
Step-by-step explanation:
So it will take 82 seconds for the arrow to hit the ground I believe I’m checking my answer real quick. Ya it’s right can I maybe brainliest?
AVIS rent a car is running a deal where you can rent a car for $49.99 and $0.99 per mile. if i rent a car and drive 25 miles, how much will I have to pay?
Answer:
$74.74
Step-by-step explanation:
$49.99 + $0.99 (25) =
$74.74
Identify equations, expressions, and inequalities
Identify whether each phrase is an expression, equation, or inequality.
HUH PLEASE HELP
Answer:
the middle one goes to the top, top one goes to the middle and bottom stays there
Step-by-step explanation:
The segments shown below could form a triangle.
A. True
B. False
Answer:
the answer is true :A
The table below shows Britney's distance, in miles, from her destination after different time intervals in hours: Time (hours) (x) 2 4 1 3 6 5 7 Distance from destination (miles) (y) 1,000 880 1,060 940 760 820 690 What is the correlation coefficient for the data, and what does it represent? (5 points) 0; it represents no correlation between x and y 0.999; it represents a linear positive correlation between x and y −0.999; it represents a linear negative correlation between x and y 0.999; it represents a linear negative correlation between x and y
Answer:
-0.999
Step-by-step explanation:
Answer:
-0.999
Step-by-step explanation:
took test
18-53) + 6 + (18 - 2)
Susie
578
Answer:
565
Step-by-step explanation:
18-53=-35
-35+6=-29
18-2=16
16+-29=-13
-13+578=565
Could I please have BRAINLIEST?
Which ordered pair is a solution and f the equation? y-3=5(x-2)
Answer:
135=
3=5−10
Step-by-step explanation:
im not good at this but my mom said to try so i its not right
This table represents a proportional relationship. Find the constant of proportionality.
Type the answer in the box below.
Table 1
s P
2 8
3 12
5 20
10 40
1. What is the constant of proportionality?
2. Complete the equation that represents the relationship.
Complete the equation in the box below.
Answer:
1. 4
2. y = 4x
Step-by-step explanation:
1.
Divide any y value by its corresponding x value to find the constant of proportionality.
8/2 = 4
Constant of proportionality: 4
2.
Equation of proportional relation:
y = kx, where k is the constant of proportionality.
y = 4x
BRAINLIEST !!! HOW MANY BURGERS CAN YOU MAKE WITH 1 BILLION BURGERS ??
each cow can make 1,200 burgers !
explain
Answer:
Well if Your asking for burgers the question makes no sense but if your asking how many cows it takes to make 1 billion burgers it would be 833,333 or round it 833,334
Convert the scientific notation into a standard form number,
1.23 x 10-5
Step-by-step explanation:
[tex]a^{-n}=\dfrac{1}{a^n}\\\\\text{therefore}\ 10^{-5}=\dfrac{1}{10^5}=\dfrac{1}{100000}=0.00001\\\\1.23\cdot10^{-5}=1.23\cdot0.00001=0.0000123[/tex]
[tex]a\cdot10^{-n}[/tex] - move the decimal point n place to the left
[tex]a\cdot10^n[/tex] - move the decimal point n place to the right
Examples:
[tex]1.2\cdot10^5=1\underbrace{20000}_{5\to}=120,000\\\\1.2\cdot10^{-5}=0\underbrace{.00001}_{\leftarrow5}2=0.000012[/tex]
Can someone help me!! what is the smallest positive counterclockwise roation if the point is rotated at 272 degrees clockwise
Given:
The point is rotated at 272 degrees clockwise.
To find:
The smallest positive counterclockwise rotation for the given clockwise rotation.
Step-by-step explanation:
Clockwise rotation = 272°
We need to subtract the given clockwise rotation from 360° to get the smallest positive counterclockwise rotation, because one complete circle is 360°.
Counterclockwise rotation = 360° - Clockwise rotation
= 360° - 272°
= 88°
Therefore, the smallest positive counterclockwise rotation is 88°.
the position of a deep sea probe is -2 3/4 fathoms relative to the sea level. after finishing taking data, it moves to -2 5/8 fathoms relative to sea level. which was deeper, the first mission, or the second. (i’m in modern high school which means i get collage questions, i only have 1 hour left to get this done, someone help!)
Answer:
The first missionStep-by-step explanation:
The depth readings are
The first mission: - 2 3/4 fathomsThe second mission: - 2 5/8 fathomsComparing the readings
- 2 3/4 = - 2 6/8 and - 2 5/8Absolute values compared
2 6/8 > 2 5/8Indicating the greater value on the first mission
As per above, the first mission was deeper
1.5x + 4.5y = 18. Where does the graph intersect the y-axis?
Answer:
4
Step-by-step explanation:
Substitute x for 0 and solve.
1.5(0)+4.5y=18
4.5y=18
y=4
For the equation, 1.5x + 4.5y = 18 at x = 0 the graph will intersect at 4 of y -the axis.
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that the equation is 1.5x + 4.5y = 18. For the value of y substitute x for 0 and solve.
1.5x + 4.5y = 18
1.5(0)+4.5y=18
4.5y=18
y=4
The value of y is equal to 4 means that the graph will intersect the y-axis at 4.
To know more about coordinate geometry follow
https://brainly.com/question/28651133
#SPJ5
The ratio y/x is called the all of these EXCEPT which one?
1. Unit Rate
2. Constant of proportionality
3. multiplicative inverse
4.constant multiplier
5(2x+3)+3x=4(x+7)+5 show your work
Answer:
X = 2
Step-by-step explanation:
Please if anyone can answer?
Answer:Oof your stuff looks hard!
Step-by-step explanation:
Answer:
n = - 7
Step-by-step explanation:
[tex] \frac{2m + 5}{n + p} = 9 \\ \\ plug \: m = 2 \: and \: p = 8 \\ \\ \frac{2 \times 2 + 5}{n + 8} = 9 \\ \\ \frac{4 + 5}{n + 8} = 9 \\ \\ \frac{9}{n + 8} = 9 \\ \\ n + 8 = \frac{9}{9} \\ \\ n + 8 = 1 \\ \\ n = 1 - 8 \\ \\ n = - 7[/tex]
can 7in and 1lb be in the same unit
Answer:
Yes
Here you gooooooo
Evan earned $26 for 4 hours of babysitting.
What equation can be used to model his
total earnings y for babysitting x hours?
Then graph the equation on the coordinate
plane. What is the unit rate? How is that
represented on the graph?
The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour.
How to plot a graph?A graph is a diagram that shows the fluctuation of one variable in relation to one or more other variables.
In order to plot the graph, we need to find out y's values corresponding to x's value
After that, we need to substitute the values of x's and y's into the coordinate geometry.
Given that,
Evan earned $26 for 4 hours of babysitting.
If total earnings y for babysitting x hours then,
y = (26/4)x ⇒ y = 6.5x will be the equation.
The unit rate of the function is y/x = $6.5/hour.
Hence "The equation y = 6.5x will represent the situation and the unit rate will be $6.5/hour".
For more information about the graph of a function
brainly.com/question/27757761
#SPJ2
Is y=x+3.75 proportional
Answer:
NO
Step-by-step explanation:
if we plug in 1 = x, we get 4.75 = y. If this is proportional, then y/x will be the same in each scenario.
Let's plug in 2 = x to get y = 5.75. 5.75/2 = 2.875 DOES NOT EQUAL 4.75/1 = 4.75.
That means that the relationship is NOT proportional.
The easier way to tell is to see that there is a number being added, so it can't be a proportional relationship.
Hope this helps and pls do mark me brainliest if you can:)
Answer: No
Step-by-step explanation:
The equal y=x+3.75 is expressed in slope intercept form meaning it doesn't fit the proportional equation which is y=kx and k is the slope.
Because of the y-intercept of the line it makes it not proportional .
11. A car is travelling at the average speed of 50 km/hr. How much distance would it travel in
1 hour 12 minutes?
Which statements below are TRUE about perpendicular lines? I. Perpendicular lines intersect II. Perpendicular lines create right angles III. Perpendicular lines are collinear IV. Perpendicular lines never intersect V. Perpendicular lines are coplanar
Answer:
Step-by-step explanation:
Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°
Since they are inclined at 90° to each other, hence they create right angles.
The lines can also lines on the same plane to form a right angles. This are called coplanar lines.
From the above explanation, the following are true;
I) Perpendicular lines intersect
II) Perpendicular lines create right angles
V) Perpendicular lines are coplanar
They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.
f(x) = 4x^2 - 7x + 7 find f(7)
Answer:
ummmm what grade do you are
Answer:
f(7)=140
Step-by-step explanations: