Answer:Add
9
to both sides of the equation.
x
=
y
+
9
x
+
y
=
6
Replace all occurrences of
x
with
y
+
9
in each equation.
Tap for more steps...
2
y
+
9
=
6
x
=
y
+
9
Solve for
y
in the first equation.
Tap for more steps...
y
=
−
3
2
x
=
y
+
9
Replace all occurrences of
y
with
−
3
2
in each equation.
Tap for more steps...
x
=
15
2
y
=
−
3
2
The solution to the system is the complete set of ordered pairs that are valid solutions.
(
15
2
,
−
3
2
)
The result can be shown in multiple forms.
Point Form:
(
15
2
,
−
3
2
)
Equation Form:
x
=
15
2
,
y
=
−
3
2
image of graph
Step-by-step explanation:
Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5
Answer:
See below
Step-by-step explanation:
Given function
h(t) = 5 + 98t – 4.9t²Part AFilling in the table using the function, substitute t for each line:
time | elevation
0 | 5
5 | 372.5
10 | 495
15 | 372.5
20 | 5
Part BThe graph is attached
When the ball hits the ground, the height is 0. Substitute 0 for
h
.
h
=
−
16
t
2
−
10
t
+
200
0
=
−
16
t
2
−
10
t
+
200
−
16
t
2
−
10
t
+
200
=
0
This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,
x
=
−
b
±
√
b
2
−
4
a
c
2
a
. In this case, the variable is
t
rather than
x
.
a
=
−
16
,
b
=
−
10
, and
c
=
200
.
t
=
−
(
−
10
)
±
√
(
−
10
)
2
−
4
(
−
16
)
(
200
)
2
(
−
16
)
Simplify. Be very careful with the signs.
t
=
10
±
√
100
+
12800
−
32
=
10
±
√
12900
−
32
Use a calculator to find both roots.
t
is approximately
−
3.86
or
3.24
.
Consider the roots logically. One solution,
−
3.86
, cannot be the time because it is a negative number. The other solution,
3.24
seconds, must be when the ball hits the ground.
Answer
The ball hits the ground approximately
3.24
seconds after being thrown.
Which order pair (x,y) satisfies the system of equations shown below?
Answer:
C. (2,-2)
Step-by-step explanation:
The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.
If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?
a. 8
b. 15
c. 23
d. 30
Answer: 15
Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15
Anybody can help me for BRAINLIST ? 6th grade math .. plz help
Answer:
B)
Step-by-step explanation:
If this answer helped you then please consider making this brainliest and thank this response :)
Answer:
I think.
it is c I am not really sure
In AABC, AB = AC and measure of ZABC is 41°. The measure of ZBAC is
degrees.
Answer:
Cant see the pic
Step-by-step explanation:
In a fruit punch you mix 150 ml of lemonade with 250 ml of fruit juice. Write the ratio of the volume of lemonade to the volume of fruit juice. Give your ratio in its simplest form.
Answer:the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5
Step-by-step explanation:
Volume of lemonade in the mixture = 150ml
Volume of fruit juice in the mixture = 250ml
Ratio of the volume of lemonade to the volume of fruit juice= 150ml: 250ml
and reducing to the simplest form , we have
150:250
dividing both by 10 gives
15:25
dividing both by 5 gives
3:5
Therefore the ratio of the volume of lemonade to the volume of fruit juice in simplest form = 3:5
Jonny and Faheem share some money in the ratio 3:5. Faheem gets £12 more than Jonny. How much does Jonny get?
Given:
Jonny and Faheem share some money in the ratio 3:5.
Faheem gets £12 more than Jonny.
To find:
The amount that Jonny gets.
Solution:
Jonny and Faheem share some money in the ratio 3:5.
Let Jonny and Faheem get 3x and 5x.
Different between their amounts is
[tex]5x-3x=2x[/tex]
Faheem gets £12 more than Jonny. It means the difference between their amounts is equal to £12.
[tex]2x=12[/tex]
[tex]x=\dfrac{12}{2}[/tex]
[tex]x=6[/tex]
The amount that Jonny gets is
[tex]3x=3(6)[/tex]
[tex]3x=18[/tex]
Therefore, Jonny gets £18.
Which expression has a solution of 6, if r=4
r+2
Explanation:
because if we add 2 to r which is equal to 4 we can get 6
What are the answers?
Answer:
I think c
Step-by-step explanation:
plz make me brainliest
Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?
Answer:
yes
Step-by-step explanation:
2*24.50=49 (two shirts)
18.90 (pair of shorts)
49+18.90=67.90
she can spend 70, means she can buy all of those and she still has 2.10
In ∆EFG, the measure of angle G=90,the measure of E=77, and GE=2.6 feet. Find the length of FG to the nearest tenth of a foot.
Step-by-step explanation:
Using Trignometry,
tan77° = Opposite/Adjacent = FG/GE.
Therefore FG = GEtan77°
= (2.6)tan77° = 11.3 feet.
what is x + 5?? need help
Answer:
you have to solve for x
Step-by-step explanation:
watch a video
Solve for x
14x + 2 = 9x - 3
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
1) Subtract 9x from both sides.
[tex]14x+2-9x=-3[/tex]
2) Simplify 14x+2-9x to 5x+2.
[tex]5x+2=-3[/tex]
3) Subtract 2 from both sides.
[tex]5x=-3-2[/tex]
4) Simplify -3-2 to -5.
[tex]5x=-5[/tex]
5) Divide both sides by 5.
[tex]x=-1[/tex]
Therefor, the answer is x = -1
I dont understand how to do this, looking for someone who can help
HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U
Answer:
y=-2x+6
Step-by-step explanation:
Did on Calculator.
Answer:
its really simple x is increasing by 1 and y is decresing by 2
Step-by-step explanation:
True or False: 3D figures have volume.
Answer:
True
Step-by-step explanation:
Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10 students enrolled. Write three values for numbers of students needed to sign up so that the the creative writing class can be held
Answer:
7, 10 and 15
Step-by-step explanation:
Given
[tex]S_1= 3[/tex] --- Students already enrolled
[tex]Total = 10\ (less)[/tex]
Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:
[tex]S_1 + x < Total[/tex]
Make x the subject
[tex]x < Total - S_1[/tex]
Substitute values for Total and S1
[tex]x < 10 - 3[/tex]
[tex]x < 7[/tex]
This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
Jacob received a deck of cards for his birthday. The length, width, and height of the card box are shown below. What is the volume of the card box?
The question is incomplete :
The height, width and Lenght isn't Given. However, we can create an hypothetical scenario, with a height 6, length 8 and width 4
Answer:
192 unit³
Step-by-step explanation:
The volume of the card box :
Recall the volume of box formula :
V = length * width * height
Volume = 8 * 6 * 4
Volume = 192 unit³
This is the procedure for any given dimension of the card deck.
Answer:
5 5/6 cu in
Step-by-step explanation:
can someone help I will give the brainliest Plz help u will get 50 points
Answer:
B.) 6
2.) 70
3.) 56
Step-by-step explanation:
B.) 2(6) - 6
= 12 - 6
=6
2.) 7(2(3)+4)
=7(6+4)
=42+28
=70
3.) 10(3) + 4(3) + 14
= 30 + 12 + 14
= 42+14
=56
Have a wonderful day
:)
Someone help and please make sure the answer is right :)
Answer:
B
Step-by-step explanation:
their alternate exterior angles so they are equal
9x + 12 = 120
9x = 108
x = 12
CAN SOMEONE HELP ME WITH THIS ONE !
Answer:
5/8 = 0.625
Step-by-step explanation:
I have attached a picture of me solving the steps. Hope this helps, thank you !!
Use elimination to solve each system of equations. Explain your steps in complete sentences. Use the textbox to type your paragraph(s).
x + y = 9
x - y = -3
SOMEONE PLS HELP ASAP!! I WILL GIVE YOU BRAINLIEST! PLS USE COMPLETE SENTENCES AND YOUR OWN WORDS!
In which diagram do <1 and <2 appear to be vertical angles?
please help i'm horrible at math ajdbvkdfjgvnfjglbdfg
Answer:
-29/3 i think
Step-by-step explanation:
(8y+x+12)=
what is the answer
8y + x + 12
other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1
During a sale, a dress is marked down from a selling price of $ to a sale price of $. What is the percent markdown?
Complete question :
35%
Answer:
Step-by-step explanation:
Selling price = $68
Markdown price = $44.20
Percentage markdown :
Markdown / selling price * 100%
((68 - 44.20) / 68) * 100%
(23.8 / 68) * 100%
0.35 * 100%
= 35%
50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
I understand this is late, but hopefully, it'll help someone who needs it, have a good day
Answer:
A Is your answer.
Step-by-step explanation:
24-79/12-2
can someone answer my question????? pls this is already missing i’ll give brainlist and points don’t ignore
!!!!!!!WILL MAKE BRIANLIEST!!!! 2/3 x 1/5
Answer:
.0666
Step-by-step explanation:
Answer:
the answer is 2/15
Step-by-step explanation:
multiply the denominators by each other to get 15
so in 2/3 multiply 3 by 5 and in 1/5 multiply 5 by 3. 2•1 is 2 so you will get 2/15
Find an equation for the perpendicular bisector of the line segment whose endpoints
are (-8,4) and (-4, -8).
Answer:
y = 1/3x
Step-by-step explanation: