Answer:
A
Step-by-step explanation:
Given the 2 equations
y = 2x + 4 → (1)
y = x² + x - 2 → (2)
Substitute y = x² + x - 2 into (1)
x² + x - 2 = 2x + 4 ( subtract 2x + 4 from both sides )
x² - x - 6 = 0 ← in standard form
(x - 3)(x + 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x + 2 = 0 ⇒ x = - 2
Substitute these values into (1) for corresponding values of y
x = 3 : y = 2(3) + 4 = 6 + 4 = 10 ⇒ (3, 10 )
x = - 2 : y = 2(- 2) + 4 = - 4 + 4 = 0 ⇒ (- 2, 0 )
What is the f?
f/5 - (-13) = 12
Step-by-step explanation:
[tex] \frac{f}{5} - ( - 13) = 12[/tex]
[tex] \frac{f}{5} + 13 = 12[/tex]
[tex] \frac{f}{5} = 12 - 13[/tex]
[tex] \frac{f}{5} = - 1 [/tex]
Now cross multiply
Therefore f = -5
Answer:
f= -5
Step-by-step explanation:
f/5-(-13)=12
remove the parenthesis and replace the negative with a positive.
f/5+13=12
multiply all by 5
f+65=60
move constant to the right
f=60-65
subtract 60 to 65
-----------------
f= -5
-----------------
Can someone help me please 100 Points!!
Answer: y=2x+13
Step-by-step explanation: So you need to find the equation y=mx+b
So to find slope (m) you need to do is rise over run. So your slope would be 2.
Now we need to find your y-intercept (b). Your y-intercept would be 13. so your equation for the line of best fit would be y=2x+13
I hope this helped.
What is the volume of the right rectangular prism with a length of 2 millimeters, a width of 4 millimeters, and a height of 8 millimeters?
Answer:
8
Step-by-step explanation:
Answer:
64
Step-by-step explanation:
2 times 4 times 8 = 64
Which is the same as 7/3?
Answer:
Its D.
Step-by-step explanation:
7 is being divided from 3.
Answer: 7 divided by 3
Step-by-step explanation: 7/3 = 2.3 and so does 7 divided by 3.
PLEASE HELP!!!!!!
Look at the figure. Find the value of x.
A.) 90
B.) 30
C.) 15
D.) 45
Thomas wants To find out which sport the entire 8th grade cloth on his school likes best
Answer:
Ok what are his options?
Step-by-step explanation:
Answer:
Ping Pong
Step-by-step explanation:
dunno
Determine the slope of the line below.
A. -3 B. 3 C. 1/3 D. -1/3
Which of these situations could be written as an equation with one variable?
A
Penny picked 35 apples, Ben picked 22 and Sam picked 17. They picked 74 apples all together. Who picked the most apples?
B
Harriet and Lea found 9 four-leaf clovers on the baseball field in all. Harriet found 5 of them. How many clovers did Leah find?
C
There were 45 doughnuts at the snack table today. Tanisha brought 33 of them, and Doug brought 12. Where did Tanisha buy her doughnuts?
D
Lori bought the most T-shirts of anyone in her family. She bought 1 more T-shirt than Thea and 3 more than Pino. How many shirts did Lori buy?
BACK
Answer:
b
Step-by-step explanation:
Because i dont know I just need points bro
It would be B becuase 9-x=5
P.S x=4
HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP HELP
Answer:
The first relationship have a zero slope.
Step-by-step explanation:
Because if the y-axis is the same number and that's what makes the first choice the right answer.
The Australian Cockroach measures 3.582 centimeters compared to the American Cockroach that measures 3.576 centimeters. Compare these numbers using >, <, or =
____________________, ____________________, ______________________
Since the Australian Cockroach measures 3.586 centimeters, and the American Cockroach measures 3.576, we should pay attention to the numbers being told.
3.586 and 3.576 have 3 in their thousands.
3.586 and 3.576 also have 5 in their hundreds.
In the tens, the eight is larger than the seven.
3.586 > 3.576
(I hoped this helped!)
i need help with this question asap pleaseeeeee
Answer:
y = 3[tex]\sqrt{7}[/tex]
Step-by-step explanation:
The two inner right triangles are similar, thus the ratios of corresponding sides are equal, that is
[tex]\frac{y}{9}[/tex] = [tex]\frac{7}{y}[/tex] ( cross- multiply )
y² = 63 ( take the square root of both sides )
y = [tex]\sqrt{63}[/tex] = [tex]\sqrt{9(7)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{7}[/tex] = 3[tex]\sqrt{7}[/tex]
You randomly draw a marble out of a bag that contains 20 total marbles. 12
What is P (draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
The probability of drawing a blue marble is 1 IN 4
Step-by-step explanation:
Complete the recursive formula of the geometric sequence −0.6,3,−15,75,...
Answer:
[tex] - 0.6 - 3 - 15.75 = .9[/tex]
Answer:
-5
Step-by-step explanation:
khan academy
first is −0.6
then -5 because x each one by -5
pls help me give u a brainlest
Answer:
uhmm. lemme remember how to do that
Answer:
30 in
Step-by-step explanation:
V=Bh
Find the area of the triangle then multiply it by the height of the prism.
Write (p^3)^2 without exponents
Answer:
(p³)² is p⁶, which is p·p·p·p·p·p
Hope this helps!
(edit: nevermind, this was in April of 2020)
An expression is defined as a set of numbers, variables, and mathematical operations. The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The value of the given expression (p³)² can be rewritten as,
(p³)²
= p⁶
= p × p × p × p × p × p
Hence, The value of the given expression (p³)² without exponents can be rewritten as p×p×p×p×p×p.
Learn more about Expression:
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Help ASAP please ! Explain too
Answer:
r=4
Step-by-step explanation:
you basically have to create a proportion. .5/12 = x/96. then u cross multiply
Art and PE
--------- Art No Art Total
PE A B C
No PE D E F
Total G H J
300 students in a middle school take Art, and 250 of those students also take PE. There are 250 students who do not take Art but do take PE. 125 students take neither Art nor PE. If you were to complete the two-way table shown here, which value would go in position D?
A) 50
B) 75
C) 100
D) 125
Answer:
A) 50
Step-by-step explanation:
D: Art & No PE
Art - Art&PE
300 - 250
50
Answer:
Answer is 50
Step-by-step explanation:
I just did the test on usatestprep
Jane is training for a triathlon. After swimming a few laps, she leaves the health club and bikes 24 miles south. She then runs 10 miles west. Her trainer bikes from the health club to meet jane at the end of her run. How much farther does jane travel than her trainer?
Answer:
26 miles farther from her trainer
Step-by-step explanation:
She starts her journey at health club,
Ran 24 miles south and then 10 miles west.
The distance between her end point and her trainer who was at health club can be calculated using pythagorean theorem.
X² = y² + z²
X = her end point
Z = distance between health club 24 miles south. = 24miles
Y = 10 miles distance from the 24 miles south. = 10 miles.
(See attachment for better illustration.)
X² = 24² + 10²
X² = 576 + 100
X² = 676
X = √(676)
X = 26 miles
Jane was 26 miles farther from her trainer
what is a number that when you multiply it by 4 and add 15 to the product you get 28? show your work please
Answer:2
Step-by-step explanation:
Recent statistics state that the average life expectancy for an American is a little over 78 years.
The sentence above refers to
factors that can affect family responsibilities
Answer:
189
Step-by-step explanation: cause i had dis question before in england
oel biked 9 miles east and then 12 miles north. If he biked back to his starting point using the most direct route, how many miles would he ride all together?
Answer:
36 miles
Step-by-step explanation:
(Imagine a huge triangle on a perfectly open space-- not with streets or houses or cornfields.)
The dimensions of the two sides given are multiples of a classic Pythagorean Triple: 3, 4, 5. [tex]3^{2} + 4^{2} = 5^{2}[/tex]
9 is 3x3, 12 is 3x4 so the remaining side would be 3x5 15
Add those 3 sides to get the total distance, 36 miles.
Answer:
36
Step-by-step explanation:
2) A band played an encore at 4 of its last 14 shows. What is the
experimental probability that the band will play an encore at its next
show?
a.2/7
b.3/7
c.4/7
d.5/7
Answer:
a. 2/7
Step-by-step explanation:
Please kindly go through the attached file for explanation
• Each number on a number cube is a possible result, or _______________, of rolling the cube.
Ratio or outcome maybe?
Which sphere has a volume of 0.288Pi in.3?
A sphere with radius 0.4 inches.
A sphere with radius 0.5 inches.
A sphere with radius 0.6 inches.
A sphere with radius 0.7 inches.
Answer:
Step-by-step explanation:
Answer in the photo
A sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
Volume of a sphere
The volume of a sphere is described as follows:
volume of sphere = 4 / 3 πr³
where
r = radius of the sphereTherefore,
volume = 0.288π inches cube
Hence, the radius can be calculated as follows;
0.288π = 4 / 3 πr³
divide both side by π
0.288 = 4 / 3r³
cross multiply
0.288 × 3 = 4r³
0.864 = 4r³
divide both sides by 4
r³ = 0.864 / 4
r = ∛0.216
r = 0.6 inches
Therefore, a sphere that has a volume 0.288π inches cube has a radius of 0.6 inches
learn more on sphere here: https://brainly.com/question/16044954
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Find m< HIF
Show your work
Answer: m/HIF =110•
Step-by-step explanation:
The measure of angle HIF is 13.89°.
To find the measure of angle HIF (m∠ HIF), we need to use the fact that the sum of angles in a triangle is 180 degrees.
Let's denote the measure of angle JIF as y.
According to the given incorrect solution, we have:
m∠ JIF + m∠ IFJ + 90 = 180
But the sum of angles JIF and IFJ isn't necessarily 90 degrees unless we know more about the triangle or have additional information.
However, since we know that the sum of angles in triangle JIF is 180 degrees, we can use this to find the measure of angle HIF.
We have:
m∠ JIF + m∠ IFJ + m∠ HIF = 180
We know that m∠ JIF = 7x + 3 and m∠ IFJ = 2x + 6. Plugging these values in, we get:
(7x + 3) + (2x + 6) + 46 = 180
Combine like terms:
7x + 3 + 2x + 6 + 46 = 180
9x + 55 = 180
Subtract 55 from both sides:
9x = 125
Divide both sides by 9:
x = 125 / 9
Now, we can find the measure of angle HIF by substituting the value of x into the expression for m∠ HIF:
m∠HIF = 13.89°
What is the area of the following circle?
Either enter an exact answer in terms of t or use 3.14 for it and enter your answer as a decimal.
r=1
Answer:
The area is 3.14
Step-by-step explanation:
Get the radius and times it by itself then multiply it by pie and you get 3.14
Can someone help me out
Answer:
m= -5/8
Step-by-step explanation:
Slope of a line containing the points,
[tex] \frac{y2 - y1}{x2 - x1} = m[/tex]
where, m is the slope
Here,
[tex]m = \frac{7 - 2}{4 - 12} = \frac{ 5}{ - 8} = \frac{ - 5}{8} [/tex]
What is the unit rate for sukis scrumptious sushi?
A. $4.50 for 1 sushi roll
B. $9.00 for 1 sushi roll
C. $9.00 for 2 sushi rolls
D. $2.00 for 9 sushi rolls
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Answer:
The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about [tex]\frac{1}{2}[/tex] times the range of the data shown for Johnstown,and about [tex]\frac{3}{8}[/tex] times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is [tex]\frac{1}{2}[/tex] times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is [tex]\frac{3}{8}[/tex] times the range of Martinville.
Answer: The question is not complete. Attached to this answer is the diagram of the box plot and the complete question:
These box plots represent the number of seconds that a random sample of 100 traffic lights are red in each of two cities: Johnstown and Martinville
Based on the data on the two box plots, which statement about the difference in the medians of the two data sets is true?
The correct answer is:
The difference is about times the range of the data shown for Johnstown,and about times the range of data for Martinville. (D)
Step-by-step explanation:
From the box plot, it is seen that the following data can be gotten:
Cities Range Midian (mid-point)
Johnston 140 - 80 = 60 110
Martinville 120 - 40 = 80 80
Difference in medians = 110 - 80 = 30
now comparing the difference between the median and the ranges of each city, we observe that:
range for Johnston = 60 ; median difference = 30
hence difference in medians : range for Johnston = 30 : 60 = 1 : 2 = 1/2
hence difference of medians is times the range of Johnston.
Difference of midians : range of Martinville = 30 : 80 = 3 : 8 = 3/8
hence the difference of medians is times the range of Martinville.
Step-by-step explanation:
Please help me with #2.
Answer:
320 meters
Step-by-step explanation:
(20*8*6)/3
Answer:
320 cubic meters.
Step-by-step explanation:
Volume = LxW/ h/3.
--> 20x8/6/3 = 320.