Consider the first blank is the green box.
Given:
The equations are
[tex]3x+2y=9[/tex]
[tex]-x-2y=4[/tex]
To find:
The value belongs in the green box
Solution:
We have,
[tex]3x+2y=9[/tex] ...(i)
[tex]-x-2y=4[/tex] ...(ii)
Adding (i) and (ii), we get
[tex]3x+2y-x-2y=9+4[/tex]
[tex](3x-x)+(2y-2y)=13[/tex]
[tex]2x+0=13[/tex]
So, the value for the first black is 2x. It means the value belongs in the green box is 2x.
The values of three blanks are 2x, 0 and 13 respectively.
Therefore, the correct option is B.
Answer:
2x + 0 = 13
Step-by-step explanation:
To add the equations, we add the corresponding terms on both sides of the equal sign.
The given equations:
3x + 2y = 9
-x - 2y = 4
Adding the equations term by term:
(3x + (-x)) + (2y + (-2y)) = 9 + 4
Simplifying the equation:
2x + 0 = 13
The term "0" in the equation indicates that the terms (2y and -2y) cancel each other out when added.
Question 8 of 10
Which equation represents the slope-intercept form of the line below?
y-intercept = (0,2)
slope = -3/7
Answer:
y = (-3/7)x + 2
Step-by-step explanation:
slope-intercept form is y = mx + b, where m = slope and b = y-intercept.
all you need to do is plug the values into the equation! :)
since your slope is (-3/7), plug that in for m.
y = mx + b ⇒ y = (-3/7)x + b
and since your y-intercept is 2, plug that in for b.
y = (-3/7)x + b ⇒ y = (-3/7)x + 2
therefore, the line's equation in slope-intercept form is y = (-3/7)x + 2.
don't worry about the parentheses, i only put them in there to separate the 7 in -3/7 from x. i'm not good at putting equations in here on brainly lol i just wanted to make sure you didn't think that it was -3 over 7x.
i hope this helps! have a lovely day <3
You must substitute the (x, y) and check that the POI makes both equations ___.
TRUE because they both check out.
FALSE because they cannot work.
what is the correct equation for a line with a slope of 5 and y-intercept of 2
Engineers must consider the breadths of male heads when designing motorcycle helmets. Men have head breadths that are normally distributed with a mean of 6.0 inches and a standard deviation of 1.0 inches. If one male is randomly selected, find the probability that his head breadth is less than 6.2 inches.
Answer:
0.57926
Step-by-step explanation:
Given that :
Mean, m = 6
Standard deviation, s = 1
P(x < 6.2)
Obtain the Zscore :
Zscore = (x - m) / s
Zscore = (6.2 - 6) / 1
Zscore = 0.2
P(Z < 0.2) = 0.57926 (Z probability calculator)
Probability of having head breadth less than 6.2 is 0.57926
B. Perform the following operations on polynomials.
1. (2x + 3y) - (5x – 2y)
2. (9x²y + 5xy - 2) + (-12x²y – 3xy + 2)
3. (8x + 2y - 3z") + (42* - 5x + 3y)
4.(- 10x*yz? + 5xyz-2) -(10xyz + x - 10 xy)
5. (3x + y) - (2x + z)
pahelp po plss asap
展开时的公式:
+ + > +
- - > +
+ - > -
- + > -
what is the simplest from of this expression? (-3x^2 + 4x) + (2x^2 - x -11)
A. -x^2 + 3x + 11
B. -x^2 + 5x - 11
C. -x^2 + 5x + 11
D. -x^2 + 3x - 11
Answer:
D
Step-by-step explanation:
Shoes cost $135. If you save $27 with a sale, what is the percent discount?
Answer:
the precent discount is 20%
(27 / 135) x 100 = 20%
I hope this helps! ^^
☁️☁️☁️☁️☁️☁️☁️
Tell whether the ordered pair is a solution of the inequality.
(-1,2)
8x + y > -6
Yes
No
Answer:
yes
Step-by-step explanation:
express each of the following percentages as a fraction.28% 158%
Answer:
28% = 7/25 and 158% = 79/50
Step-by-step explanation:
To convert a percent into a fraction, you have to put the value of the percent over 100.
For 28%: 28/100
28 and 100 are both divisible by 4, so the fraction reduces to 7/25.
For 158%: 158/100
158 and 100 are both divisible by 2, so the fraction reduces to 79/50. If you teacher doesn't want you do use improper fractions, then 79/50 can further be reduced and becomes [tex]1\frac{29}{50}[/tex].
Hope this helped!
I’m stuck with this question plz help
Answer:
40 in i think if i am wrong sorry
Step-by-step explanation:
5in + 5in = 10 10 * 4 = 40
246.49
All you have to do to find the Circumference is use this formula
pi (3.14) R (radius) squared.
-Ɽ3₮Ɽ0 Ⱬ3Ɽ0
(x - 1)(8x – 4) = 0
what is the factor
Answer:
the factor is x=1/2 or x=1
Step-by-step explanation:
hoped I helped:)
"whats the area of a circle with a circumference of 50.24 units"
pls help:)
Answer:
200.96 units^2
Step-by-step explanation:
50.24/Pi = 16 (diameter)
16/2=8 (radius)
area = Pi(r^2)
area = 3.14(8^2) = 200.96 units^2
PLS HELP! Thank you pls
Answer:
Step-by-step explanation:
no
A boat starts in Wilmington and sails 5 miles due east and then 3 miles due south. What is the approximate shortest distance back to Wilmington?
Answer:
I would say approximately 5.8 miles
Step-by-step explanation:
(This answer may be wrong)
Olivia is making scarves. Each scarf will have 3 rectangles, and of the rectangles will be purple. How many purple rectangles does she need for 3 scarves?
Answer:
She needs 3 purple rectangles.
Step-by-step explanation:
If Olivia is making 3 scarves and each scarf will be a combination of 3 rectangles, out of the three rectangles, there will be purple meaning a scarf will have at least a purple rectangle.
If a scarf has a purple rectangle then 3 scarves will have;
1 x 3 = 3
3 rectangles.
WILL MARK BRAINLIEST 15 POINTS
What is the probability that you would land on red for the first spin and then land on purple for the second spin?
1/5
1/10
1/25
0
Answer:
Step-by-step explanation:
Z. 1/25 it’s just a guess theough
A 2-column table with 5 rows. Column 1 is labeled Number of friends helping with entries 0, 1, 2, 3, 4. Column 2 is labeled Hours to build tree house with entries 20, 20 minus 20 (0.10) = 18.0, 18 minus 18 (0.10) = 16.2, 16.2 minus 16.2 (0.10) = 14.6, question mark.
Peter figures he can build the entire tree house by himself in 20 hours. He figures that each additional friend who helps him would improve the time by 10%. He created a table using the algebraic expression n – n(0.10), where n is the previous number of hours.
To the nearest tenth of an hour, how long will it take to build the tree house if 4 friends are helping?
Answer:
x y x
Step-by-step explanation:
Answer: 13.1
Step-by-step explanation:
hope this helps
480/X - 8 - 480/x = 3
Answer:
i don't know its ans thank you
Answer:
x є ø
Step-by-step explanation:
480/X - 8 - 480/x = 3, x є ø
-8=3 (+480/x -480/x cancels because +smth -the same number)
Darrien purchases some clothes for a total of $26.50, before tax. Sales tax in his state is 5 percent. What is the total price he has to pay for the clothes?
CDEF is kite and m
A. 14
B. 56
C. 28
D. 62
Answer:
Step-by-step explanation:
56
does someone know tha answer??
Answer:
either 5 or 6 months
Step-by-step explanation:
Tom M Jerry
500 1 125
475 2 175
450 3 225
425 4 275
400 5 325
375 6 375
Which function does the graph represent?
Of(x) = (x - 2)2 + 3
Of(x) = -(x - 2)2 + 3
Of(x) = (x + 2)2 + 3
O f(x) = -(x + 2)2 + 3
Answer:
The function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
Step-by-step explanation:
From the graph, it is clear that:
The vertex = (2, 3)
The y-intercept = (0, -1)
Let us check the equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Determining the y-intercept:
The value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
substituting x = 0 in teh equation
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
[tex]y=-\left(0\:-\:2\right)^2+\:3[/tex]
[tex]y=-2^2+3[/tex]
[tex]y=-4+3[/tex]
[tex]y=-1[/tex]
Thus,
The point representing the y-intercept is: (0, -1)
Determining the vertex:
The vertex of an up-down facing parabola of the form ax² + bx + c is:
[tex]x_v=-\frac{b}{2a}[/tex]
As the equation is
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Rewriting the equation [tex]y=-\left(x\:-\:2\right)^2+\:3[/tex] in the form ax² + bx + c:
[tex]y=-x^2+4x-1[/tex]
The Parabola params are:
[tex]a=-1,\:b=4,\:c=-1[/tex]
Thus,
[tex]x_v=-\frac{b}{2a}[/tex]
[tex]x_v=-\frac{4}{2\left(-1\right)}[/tex]
[tex]x_v=2[/tex]
Now plug in [tex]x_v=2[/tex] in the equation to find [tex]y_v[/tex]
[tex]y_v=-x^2+4x-1[/tex]
[tex]\:y_v=-\left(2\right)^2+4\left(2\right)-1[/tex]
[tex]y_v=-4+8-1[/tex]
[tex]y_v=3[/tex]
Therefore, the vertex of the equation is: (2, 3)
Hence, the function which represents the graph is:
[tex]y=-\left(x\:-\:2\right)^2+\:3[/tex]
Hence, option B is correct.
The graph is also attached.
Six times the lesser of the two consecutive even integers is 4 times the greater even integer. What are the integers?
Answer:
Integers are 4 and 6
Step-by-step explanation:
Let the two consecutive even integers be [tex]x,x+2[/tex] such that [tex]x<x+2[/tex]
Six times the lesser of the two consecutive even integers is 4 times the greater even integer.
So,
[tex]6x=4(x+2)\\6x=4x+8\\6x-4x=8\\2x=8\\x=4[/tex]
Other integer [tex]=x+2=4+2=6[/tex]
The answer choices are the bottom ones
Answer:
b) x = 31
Step-by-step explanation:
It's an isosceles triangle, meaning the base angles are congruent as well.
find the slope of the line parallel to this equation: y=2/5x-4
Answer:
slope = [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{2}{5}[/tex] x - 4 ← is in slope- intercept form
with slope m = [tex]\frac{2}{5}[/tex]
Parallel lines have equal slopes
Thus the slope of a parallel line is m = [tex]\frac{2}{5}[/tex]
Two systems of equations are shown. The first equation in system B is the original equation in system A. The second equation in system B is the sum of that equation and a multiple of the second equation in system A.
Answer:
[tex]x = 3.875[/tex]
[tex]y = 2.375[/tex]
Step-by-step explanation:
See comment for complete question.
Given
A.
[tex]x + 3y = 11 => x + 3y = 11[/tex]
[tex]5x - y = 17 => 15x - 3y = 51[/tex]
[tex]16x = 62[/tex]
B.
[tex]x + 3y = 11[/tex]
[tex]16x = 62[/tex]
Required
Determine the values of x and y
The first equation in B is:
[tex]x + 3y = 11[/tex]
In (a): 5x - y = 17 is multiplied by 3, then added to x + 3y = 11.
So, the second equation is:
[tex]5x - y = 17[/tex]
Solving (a) & (b):
[tex]x + 3y = 11[/tex] --- (1)
[tex]5x - y = 17[/tex] ---- (2)
Make x the subject in (1)
[tex]x + 3y = 11[/tex]
[tex]x = 11 - 3y[/tex]
Substitute [tex]11 - 3y[/tex] for x in [tex]5x - y = 17[/tex]
[tex]5(11 - 3y) - y = 17[/tex]
Open bracket
[tex]55 - 15y - y = 17[/tex]
[tex]55 - 16y = 17[/tex]
Collect Like Terms
[tex]- 16y = 17-55[/tex]
[tex]- 16y = -38[/tex]
Solve for y
[tex]y = \frac{-38}{-16}[/tex]
[tex]y = \frac{38}{16}[/tex]
[tex]y = 2.375[/tex]
Substitute 2.375 for y in [tex]x = 11 - 3y[/tex]
[tex]x = 11 - 3 * 2.375[/tex]
[tex]x = 11 - 7.125[/tex]
[tex]x = 3.875[/tex]
Answer:
(4,3)
Step-by-step explanation:
I took the test.
A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number)
Answer:
88 total questions
Step-by-step explanation:
Answer:
88 problems
Step-by-step explanation:
86/0.98 = 87.76 ≈ 88
A jacket usually sells for $66.00. If the jacket is 40% off, and sales tax is 6%, what is the total price of the jacket, including tax?
Answer:
44.22
Step-by-step explanation:
100%-> 66
60%->39.60=
7%->4.62
4.62+39.60=44.22
Explain the meaning of F(30) = 8,950 in this situation
Answer:
when you have something like f(x)=... that means
f means function
and every time you see an x or the variable in the parenthesis you plug in for that so it's f(x) =3x+1 then f(2)= 3x+1 every time you see x you plug in 2
Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/4 × 1/2 = 3/8I hope this helps!