Answer:
C
Step-by-step explanation:
The solution to a system of equations given graphically are at the points of intersection of the 2 graphs.
The graphs intersect at (- 2, - 4 ) and (4, 8 )
Thus the solutions to the system are (- 2, - 4) and (4, 8 )
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
The value of x of the solution to the system of equations
x = -8Hence, option (C) is true.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}x=2y-4\\ 7x+5y=-66\end{bmatrix}[/tex]
Arrange equation variables for elimination
[tex]\begin{bmatrix}x-2y=-4\\ 7x+5y=-66\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}x-2y=-4\mathrm{\:by\:}7\:\mathrm{:}\:\quad \:7x-14y=-28[/tex]
[tex]\begin{bmatrix}7x-14y=-28\\ 7x+5y=-66\end{bmatrix}[/tex]
subtracting 7x-14y=-28 from 7x+5y=-66
[tex]7x+5y=-66[/tex]
[tex]-[/tex]
[tex]\underline{7x-14y=-28}[/tex]
[tex]19y=-38[/tex]
so the equations become
[tex]\begin{bmatrix}7x-14y=-28\\ 19y=-38\end{bmatrix}[/tex]
solve 19y = -38
[tex]19y=-38[/tex]
Divide both sides by 19
[tex]\frac{19y}{19}=\frac{-38}{19}[/tex]
[tex]y=-2[/tex]
[tex]\mathrm{For\:}7x-14y=-28\mathrm{\:plug\:in\:}y=-2[/tex]
[tex]7x-14\left(-2\right)=-28[/tex]
[tex]7x+28=-28[/tex]
[tex]7x=-56[/tex]
Divide both sides by 7
[tex]\frac{7x}{7}=\frac{-56}{7}[/tex]
[tex]x=-8[/tex]
Therefore, the value of x of the solution to the system of equations
x = -8Hence, option (C) is true.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
if you fill them all in corectly you should get not A
Not C NOR D THE ANSWER IS B 10 plus 14 equals 24 and 3 times 10 equals 30 and plus 5 times 14 equals 70 so the answer is B
tep-by-step explanation:
the perimeter of a rectangle is 8x+10. if the length is 2x+8 what is the width?
Answer:
Step-by-step explanation:
8x+10 - 4x+16 = 4x-6
w= 2x-3
What is the domain of the square root function graphed below?
x=-1 x>/=-1
Answer:
im guessing -1
Step-by-step explain
well it would be greater than -1x-1
Withby tuns 3/4miles in 1/6 hours at that rate how far can she run in one hour?
Answer:
4.5 miles ibelieve
Step-by-step explanation:
3/4 × 6/6 is 4.5 miles
Without using a calculator, fill in the blanks with two consecutive integers to complete the following inequality. \,<\sqrt{32}<\,< 32
Answer:
Could you retype the equation so it isn't jankey?!
Step-by-step explanation:
Kathryn's water bottle holds 20.25 ounces. Her doctor told her to drink half her body weight in ounces of water. Kathryn weighs 121.5 pounds. How many water bottles will she have to drink? (There is no convesion required from ounces to pounds)
Answer: She have to drink 3 bottles of water.
Step-by-step explanation:
Given: Weight of Kathryn = 121.5 pounds
half of her weight = [tex]\dfrac{121.5}{2}=60.75\text{ pounds}[/tex]
So, she need to drink 60.75 pounds of water.
Kathryn's water bottle holds 20.25 ounces.
Number of water bottles she need to drink = (half of her weight) ÷ (Capacity of bottle)
[tex]=\dfrac{60.75}{20.25}\\\\=\dfrac{6075}{2025}\\\\=3[/tex]
Hence, she have to drink 3 bottles of water.
Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).
Answer:
y = x + 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.
Then, plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-4 = 1(-9) + b
-4 = -9 + b
5 = b
Plug in the slope and b into y = mx + b:
y = 1x + 5
y = x + 5
So, the equation of the line is y = x + 5
plzzz help me with this
A line includes the points (6, 9) and (3, 3). What is its equation in slope-intercept form?
Answer:
y=2x-3
Step-by-step explanation:
Find the values of a and b
please I will mark brainliest.
(make sure to show your work)
Answer:
The required values are a = 29°, b = 20°
Step-by-step explanation:
Angles and Lines
The image shows two lines crossing at a point where three angles are marked: 57°, 7b-17, and 2a-1.
It can be noted that 57° and 7b-17 are linear angles whose sum is 180°:
57° + 7b - 17° = 180°
Solving for b:
7b = 180° + 17° - 57°
7b = 140°
b = 140°/7 = 20°
b = 20°
It can also be noted that 57° and 2a-1 are vertical angles (opposite angles). Vertical angles are congruent, thus:
57° = 2a - 1°
Adding 1:
2a = 58°
a = 29°
The required values are a = 29°, b = 20°
HELP CORRECT AWNSER GET BRAINLIEST
Answer:
A 33 degrees
Step-by-step explanation:
[tex]x \degree = 180 \degree - (23 \degree + 124 \degree) \\ \\ x \degree = 180 \degree - 147 \degree\\ \\ x \degree = 33 \degree \\ \\ x = 33[/tex]
Answer:
A) 33
Step-by-step explanation:
the angles of a triangle always add up to 180.
124 + 23 + x = 180
combine like terms
147 + x = 180
147 + x - 147 = 180 - 147
x = 180 - 147
x = 33
The coordinates of point K are (−3, 4.5). Which statement tells how to locate point K on the coordinate plane?
Answer:
-3
Step-by-step explanation:
I need help with this
Answer:
1. y=14
2. x=22
3. z=3
4. n=14
5. a=10
6. m=-5
7. b=26
8. c=15
9. x=80
10. g=20
11. x=-5
12. w=-4
13. r=45
14. k=12
15. f=50
16. j=2
17. r=21
18. t=47
the radius of a circle is 4.53 inches what is the length of the circumference of the circle ?
Answer:
28.46in
Step-by-step explanation:
C=2πr
C=2π*4.53
C≈28.46in
CLASS TIME: You spend 150 minutes in three classes. Write and solve a proportion to find how many minutes you spend in five classes. (Section 3.4)
Answer:
250
Step-by-step explanation:
150 divided by 3 is 50. Meaning you spend 50 minutes per class. 50 times 5 would be 250.
Hakim Ellison wants to buy a 4 door sport utility vehicle 4 wheel drive hybrid. There is an 8% sales tax on the purchase price of the SUV in his state. If he pays the full sticker price for the SUV, how much is the total?
Answer: $60401.16
Step-by-step explanation:
From the attached image, the total price for the vehicle = $55,927.
If he were to pay the full sticker price for the SUV, the total would sum up to
= $55,927 + 8% sales tax
= $55,927 + 8/100( $55,927)
= $55,927 + 0.08($55,927)
= $55,927 + $4474.16
= $60401.16
The total would sum up to $60401.16
Which expression is equivalent to
7 + (3 + 11)
———————
-5+ 8
(Picture included)
HELP ASAP!!
Answer:
7
Step-by-step explanation:
start by adding 3+ 11 in the parenthesis, that should give you 14. now you should have 7 + 14 over -5 + 8.
-5 + 8 = 3 (another way to look at this problem is, 8 -5)
7+14 = 21
you should now have 21 over 3
to simplify this divide 21 by 3, this should give you 7
Answer: 21 divided by 3
Step-by-step explanation:
If you solve the top and the bottom you get 21 for the top and 3 for the top and you can divide 21 by 3 and get 7. You can double check the math if you want, hope this helps!
$1,250 at 5% simple interst for 2 years
Answer:
2625
Step-by-step explanation:
Simple Interest Formula
P*R*T
1250*1.05*2=2625
Answer:
After two years, there will be a total of $1,375 paid and $125 paid in interest.
Step-by-step explanation:
Since, 5 x 2 = 10, first we should find 10% of $1,250.
1,250 x 0.10 = 125
$1,250 + $125 = $1375
Therefore, after two years, there will be a total of $1,375 paid and $125 paid in interest.
Hope this helps! :D
matching math game help!
Answer:
dude your math period is way too long
Answer:
dude your math period is way too long
alice has 5 quarters and 2 nickels. how many cents does alice have?
Answer: $1.35 is the answer
Answer:
5 quarters is equal it 1$ and 25¢, 2 nickles is equal to 10¢, put these together and you get 1$ and 35¢ or 1.35$
Which equation could have been used to create this table?
y = 4x
y = x + 3
y = x + 2
y = 3x
Table:
X Y
1 3
2 6
4 12
5 15
6 18
i think this is last one
Step-by-step explanation:
Distance between park and movie theater
= 9 - (-15)
= 24 blocks.
Answer:
24 blocks
Step-by-step explanation:
Expression: |-15 + 9|Simplify: 15 + 915 + 9 = 24 blocksI hope this helps!
Please help me with this homework
Answer:
your x's will be -2, -1 , 0 , 1, 2
and your y's will be -5, -2, 1, 4, 7
What is the unit rate depicted in the graph?
On a coordinate plane, a graph titled Lap Times has minutes on the x-axis and Laps on the y-axis. A line goes through points (4, 3) and (8, 6).
0.75 laps in one minute
1.25 laps in one minute
3 laps in 4 minutes
4 laps in 3 minutes
Answer:might be wrong but the answer is C
Step-by-step explanation:
The Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.
What is Unit Rate?The Unit Rate is defined as means a rate for one of something, i.e. ratios of two quantities.
We have,
Minutes on the x-axis,
And,
Laps on the y-axis.
And,
A line goes through points (4, 3) and (8, 6),
x₁ = 4, x₂ = 8, y₁ = 3, y₂ = 6
Now,
So,
Unit rate for x₁ and y₁,
i.e.
[tex]\frac{y_1}{x_1} =\frac{3}{4}=0.75[/tex]
Now,
Unit rate for x₂ and y₂,
i.e.
[tex]\frac{y_2}{x_2} =\frac{6}{8}=0.75[/tex]
So,
The unit rate is 0.75 laps in one minute.
Hence, we can say that the Unit Rate depicted in the graph will be 0.75 laps in one minute, i.e. Option A.
To know more about Unit Rate click here
https://brainly.com/question/15491469
#SPJ2
Solve for u.
200 = 125 - u
Answer:
-75
Step-by-step explanation:
200 = 125-u
75 = -u
u = 75
What's the midpoint of a line segment joining the points (5, –4) and (–13, 12)?
Question 8 options:
A)
(–4, 4)
B)
(9, 4)
C)
(–4, 8)
D)
(4, 4)
Answer:
The midpoint of the line segment is located at (-4, 4).
Step-by-step explanation:
We're given the coordinate points of a line that can help us find the midpoint.
The midpoint formula for a line is written as:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Additionally, we are given the coordinate points (5, -4) and (-13, 12). We can use these and label them with the (x, y) system so we can substitute them into the formula.
In math, a coordinate pair is written as (x, y). This is where cos = x and sin = y. If we are given two coordinate pairs, we can label them with the (x, y) system but also incorporating a subscript to distinguish the two x-values from each other as well as the y-values. We do this by turning the two x-values into x₁ and x₂ and the y-values follow the same protocol: y₁ and y₂.
Therefore, we can label our two coordinates:
(5, -4)
x₁ = 5y₁ = -4(-13, 12)
x₂ = -13y₂ = 12Now, we can place these values into the midpoint formula and simplify to find our midpoint.
Recall that the midpoint formula is:
[tex]\bullet \ \ \ \displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)[/tex]
Therefore, let's substitute these values.
[tex]\displaystyle\big(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\big)\\\\\\\big(\frac{5 + (-13)}{2}, \frac{(-4)+12}{2}\big)\\\\\\\big(\frac{-8}{2}, \frac{8}{2}\big)\\\\\\\boxed{(-4, 4)}[/tex]
Therefore, the midpoint of the line segment is located at (-4, 4), which is Option A.
Answer: Great question! A midpoint is exactly what it sounds like; the point in the middle of two objects (in this case it's the middle of these two coordinates). Another way to think of the middle of something in math is by using the average. To find the midpoint of two points, we just find the average of the x-values and the average of the y-values:
(x1 + x2)/2 , (y1 + y2)/2)
(5 + -13) / 2 , (-4 + 12) / 2)
( -8 / 2 , 8 / 2)
(-4 , 4)
So the answer would be A)
(-4, 4)
Explanation:
let ( x,y) be the midpoint of the line segment, then x = 5+(-13) / 2 = -8/2 = -4 and y = -4+(12 ) / 2 = 8/2 = 4, the mid point is ( -4,4)
answer this please !!!!!
find x it is multiple choice.
Answer:
25
Step-by-step explanation:
Consider the rates 4/5 miles in 8 minutes and 4 minutes to travel 2/5 mile
Answer:
960
Step-by-step explanation:
I'm not sure exactly what's the question, but here's what I found. Lets first put it in our own words.
Consider the speed 4/5 miles in 12 minutes to travel 2/8.
8 + 4 = 12, so you can replace that with 12 minutes.
Now, you can absolutely guess your question.
Time = 12 minutes.
Distance = x (Let x be distance)
Speed = 4/5.
Now, you find distance.
Distance Formula: You can use the equivalent formula d = st which means distance equals rate times time.
So 4/5 × 12, is 9.6.
In fraction, if you have 1 numbers after the decimal point, multiply both numerator and denominator by 10. So 9.6 = (9.6 × 10) × 10 = 960.
Here is a pattern I found
2/5 divided by 4 is 1/10
4/5 divided by 8 is 1/10
If , we consider the given rates , we find that both rates are equivalent.
Two rates are given which are 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
We have to find out what they actually indicate.
What is the unitary method?
The unitary method is a method in which we find the value of a unit and then the value of the required number of units.
As per the question ;
Two rates are given which are ; 4/5 miles in 8 minutes and 2/5 miles in 4 minutes.
Let's find out what they are actually indicating.
So ;
If , distance travelled in 8 minutes = 4/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{4}{5*8}[/tex]
= [tex]\frac{4}{40}[/tex]
= 1 / 10 miles
and
If , distance travelled in 4 minutes = 2/5 miles
Then ;
In 1 minute , distance travelled will be ;
= [tex]\frac{2}{5*4}[/tex]
= [tex]\frac{2}{20}[/tex]
= 1 / 10 miles
So , we can conclude that both rates are equivalent.
Thus , if we , consider the given rates , we find that both rates are equivalent.
To learn more about unitary method click here ;
brainly.com/question/19423643
#SPJ2