Answer:
Option (C)
Step-by-step explanation:
System of the equations have been given as,
[tex]y=x+1[/tex] --------(1)
[tex]y=-\frac{1}{2}x+4[/tex] -------(2)
Substitute the value of y from equation (1) to equation (2),
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+1=-\frac{1}{2}x+4[/tex]
[tex]x+\frac{1}{2}x=4-1[/tex]
[tex]\frac{3}{2}x=3[/tex]
[tex]x=2[/tex]
Substitute the value of 'x' in equation (1),
[tex]y=2+1[/tex]
[tex]y=3[/tex]
By using a graphing utility, graph of the equations that will intersect each other at a point (2, 3).
Therefore, solution of the system of equations will be [tex](2,3)[/tex].
Option (C) will be the answer.
Answer:
(2,3) C
Step-by-step explanation:
Solve using y = mx + b and graph!
7. The list price of an article is 25% above the selling price and cost price
is 40% below the list price, then rate of discount is:
a. 15%
b. 20%
C. 25%
d. 40%
Answer:
I think its C.
Step-by-step explanation:
this that I brain farted oooo i got it
a see-saw has length 5.2 m. when one end is resting on the ground it makes an angle of 23 degrees with the ground. find the height of the other end above ground level.
answer: I did it in the picture above I hope it's clear and helpful
tìm x biết
x/7=6/-21
Answer:
x = - 2
Step-by-step explanation:
Given
[tex]\frac{x}{7}[/tex] = [tex]\frac{6}{-21}[/tex] ( cross- multiply )
- 21x = 42 ( divide both sides by - 21 )
x = - 2
150 students
110 studied mathematies
95 studied physics
question 1
-The students took mathematics and physics.
the students took math and physics = 55
Shree travels a distance of 12 km from her house to school by a bus at 20 km/hr and returns home at 16 km/hr.
i Calculate the time required to reach school from home .
ii find out the time required to reach home from school .
iii Determine the average distance of entire journey .
Answer:
Step-by-step explanation:
1 t= S/V1= 12/20=0.6 hours
2 t =S/V2 = 12/16= 0.75 hours
3 12km
i guess they wanna determine the average V
The lines below are perpendicular. If the slope of the green line is ž, what is
the slope of the red line?
-5
5
m =
Answer:
B or (-2/3)
Step-by-step explanation:
Perpendicuar lines have negative inverse slopes SO
3/2 ---> -2/3
the width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.
Answer: 80, 40
Step-by-step explanation: I just made an equation which went something along the lines Of 3.1x=248 , then you get 80, then 40.
I NEED HELP BUT THE ANSWER MUST WORK ON KHAN ACADEMY
Answer:
x=55
Step-by-step explanation:
Since 2 sides are the same length, their base angles much be the same. The unmarked angle muse also be x
x+x+70 = 180 since the sum of the angles of a triangle must be 180
2x+70 = 180
2x = 180-70
2x = 110
Divide by 2
2x/2 =110/2
x=55
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{x + x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{COMBINE the LIKE TERMS}}[/tex]
[tex]\large\textsf{(x + x) + 70 = 180}^\circ[/tex]
[tex]\large\textsf{x + x = \bf 2x}[/tex]
[tex]\large\textsf{2x + 70 = 180}^\circ[/tex]
[tex]\underline{\large\text{SUBTRACT 70 to BOTH SIDES}}[/tex]
[tex]\large\textsf{2x + 70 - 70 = 180 - 70}[/tex]
[tex]\large\text{CANCEL out: 70 - 70 because that gives you 0}[/tex]
[tex]\large\text{KEEP: 180 - 70 because helps solve for the x-value}[/tex]
[tex]\large\textsf{180 - 70 = \bf 110}[/tex]
[tex]\underline{\underline{\large\text{New equation: 2x = 110}}}[/tex]
[tex]\underline{\large\text{DIVIDE 2 to BOTH SIDES}}[/tex]
[tex]\large{\mathsf{\dfrac{2x}{2}=\dfrac{110}{2}}[/tex]
[tex]\large\text{CANCEL out: } \mathsf{\dfrac{2}{2}} \large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{110}{2}}\large\text{ because that gives you the answer of the x-value}[/tex]
[tex]\mathsf{x = \dfrac{110}{2}}\\\\\large\textsf{x = 110}\div\large\textsf{2}\\\\\large\textsf{x = \bf 55}^\circ[/tex]
[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = \bf 55}}^\circ}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Please help me solve this problem
Answer:
-4
they wanted you to compute using x as 3
-2*3 + 2 = -4
Step-by-step explanation:
The graph shows the function f(x) = 2*
What is the value of x when f(x) = 8?
Ay
10-
A. 3
B. 2
C. 0
D. 1
Answer:
A
Step-by-step explanation:
Equate f(x) to 8 , that is
[tex]2^{x}[/tex] = 8 = 2³
Since bases on both sides are equal, both 2, then equate exponents
x = 3
The value of the x when the exponential function shown in the graph f(x) = 2ˣ is 8 is when x = 3, which is option A.
Here, given the graph of the function,
f(x) = 2ˣ
We have to find the value of x when f(x) = 8.
In order to find the value of x, when f(x) = 8, we have to write as,
f(x) = 8
2ˣ = 8
Now write 8 as an exponent with base 2.
2ˣ = 2³
Hence the value of x = 3
Learn more about Exponential Functions here :
https://brainly.com/question/9919887
#SPJ7
Based only on the given information, it is guaranteed that LN I MO.
L
Given: ALON
LM: NM
LO = NO
MO #MO
M
0
N
Answer:
true
Step-by-step explanation:
We are given that sides LM and NM, LO and NO, MO and MO are congruent. Since this describes 3 sides of the triangle, you can say ΔMNO is congruent to ΔMLO. From this, you can say ∠OMN is congruent to ∠OML. The two angles (∠OMN and ∠OML) form a straight line, meaning they add up to 180 degrees. We can write:
∠OMN + ∠OML = 180
And since ∠OMN = ∠OML, we can substitute and solve:
∠OMN + ∠OMN = 180
2∠OMN = 180
∠OML =∠OMN = 90
Since both these angles are 90 degrees, LN is perpendicular to MO by definition.
40 POINTS I’ll give brainlist
Answer:
I don't understand the equation, please state it differently
Find the H.C.F of the following expressions.{x²-3x,x²-9}
Answer:
x2−3x+2=x2−2x−x+2
x(x−2)−1(x−2)=(x−2)(x−1)
Now
x2−4x+3=x2−3x−x+3
x(x−3)−1(x−3)=(x−3)(x−1)
Thus, the only common factor is (x-1)
Option A
hiiiii
Answer:
Step-by-step explanation:
x2−3x+2=x2−2x−x+2
x(x−2)−1(x−2)=(x−2)(x−1)
Now
x2−4x+3=x2−3x−x+3
x(x−3)−1(x−3)=(x−3)(x−1)
Thus, the only common factor is (x-1)
Option A
hope it helps
Cho tứ diện ABCD . Trên cạnh AB lấy điểm M , AC lấy N , trong tam giác BCD lấy điểm P tìm giao điểm
a, MP và (ACD)
b, AD và ( MNP)
c , BD và ( MNP)
Answer:
a. Trong mp (BCD), nối BP cắt CD tại E
Trong mp (ABP), nối MP cắt AE kéo dài tại F (trong trường hợp MP không song song AE)
⇒F=MP∩(ACD)⇒F=MP∩(ACD)
b. Nếu MN cắt BC, kéo dài MN cắt BC tại G
Nối GP cắt BD tại H
Trong mặt phẳng (ABD), nối MH cắt AD tại K (trong trường howph MH ko song song AD)
⇒K=AD∩(MNP)⇒K=AD∩(MNP)
c. H=BD∩(MNP)
Step-by-step explanation:
anyone know collage level algebra 2? I need help
Evaluate the series: image Question 1 options: A) 392 B) 249 C) 420 D) 406
Answer:
The required sum is 392
Step-by-step explanation:
Given the sum as shown;
[tex]\sum \left \77} \atop {a=1}} \right. (3a^2-4)[/tex]
When n = 1
f(1) = 3(1)²-4
f(1) = 3 - 4
f(1) = - 1
When n = 2
f(2) = 3(2)²-4
f(2) = 12 - 4
f(2) = 8
When n = 3
f(3) = 3(3)²-4
f(3) = 27 - 4
f(3) = 23
When n = 4
f(4) = 3(4)²-4
f(4) = 48 - 4
f(4) = 44
When n = 5
f(5) = 3(5)²-4
f(5) = 75 - 4
f(5) = 71
When n = 6
f(6) = 3(6)²-4
f(6) = 108 - 4
f(6) = 104
When n = 7
f(7) = 3(7)²-4
f(7) = 147 - 4
f(7) = 143
Taking their sum
Sum = f(1)+f(2)+(3)+f(4)+f(5)+f(6)+f(7)
Sum = -1 + 8 + 23 + 44 + 71 + 104 + 143
Sum = 392
Hence the required sum is 392
Which graph shows the solution set
Answer:
D
Step-by-step explanation:
Answer:
It's D on there
Step-by-step explanation:
What is the area of this triangle?
Answer:
the answer of the question is D
PLEASE HELP!!!!!!!!
Answer: 3
Step-by-step explanation:
[tex]\displaystyle\ \Large \boldsymbol{} We \ have \ a \ square\ function \\\\ f(x)=ax^2+bx+c \\\\And \ we \ know \\\\ \left[\left \[ {{f(0)=a\cdot 0+b\cdot0+c=0} \atop {f(-4)=a(-4)^2+-4b+c=-24}} \right.=>[/tex] [tex]\displaystyle\ \Large \boldsymbol{} \left[ \ {{c=0} \atop {16a-4b=-24}} \right. =>\boxed{4a-b=-6} \\\\\\ and \ x_0 =-\frac{b}{2a}=1 =>\boxed{ b=-2a} \\\\\\ \left \{ {{4a-b=-6} \atop {b=-2a}} \right. =>4a+2a=-6=> a=-1 \ ; \ b=2 \\\\\\then \ b-a=2-(-1)=\boxed{3}[/tex]
HElp ASAP
A cement truck mixes 1 part cement
with 4 parts sand. If 2.5 cubic yards of
cement are used, how much sand is
needed for the mixture?
a. 6.25 cubic yards
b. 7.5 cubic yards
c. 10 cubic yards
d. 12.5 cubic yards
Answer: The answer is already there
Step-by-step explanation:
help please I'm doing some math homework
Answer:
Slope is 5/2
Step-by-step explanation:
[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} }}}[/tex]
Substitute the terms:
[tex]{ \tt{slope = \frac{7 - ( - 3)}{4 - 0} }} \\ = \frac{5}{2} [/tex]
I am really bad at algebra please help!!
I need it now please with explanation ☺️
Answer:
E. 7x
Step-by-step explanation:
3x plus 4x is equal to 7x because they both have the same terms and when added cannot the X of 3x and 4x cannot be joined together .
So they remain the same.
(e) 12x
(f) 12x²
(g) 12x²
(h) 1x
(I) 2x²
(J) 2x²
(K) -10x
(L) -20x
(M) 6x²
(N) 20x²
(O) -15x²
(P) -12x³
Your answers were wrong so i did all of them
Quick tip the power comes only when you multiply and not when you add
For example x + x = 2x
x × x = x²
All the answers
Must click thanks and mark brainliest
⁴⁄₇ × ²⁄₃
Click the picture so that you can see the whole question
Answer:
8/21
Step-by-step explanation:
just multiply the numerator and denominator
(3[tex]\sqrt{7} \\[/tex]+7[tex]\sqrt{3}[/tex])/[tex]\sqrt{21}[/tex]
Answer:
sqrt(3) + sqrt(7)
Step-by-step explanation:
3*sqrt(7) / sqrt(21) = 3/sqrt(3)
If you rationalize the denominator, you get 3*sqrt(3)/3. The threes cancel
You are left with sqrt(3)
7sqrt(3)/sqrt(21) = 7 / sqrt(7)
If you rationalize the denominator, you get
7 sqrt(7)/ 7 = sqrt(7)
The 7s have been canceled out
The answer is
sqrt(3) + sqrt(7)
Says i need at least 20 characters in order to get this up.. you know i really should know this stuff but oh well
Answer:
C
-1/5, -1/3,-7
Step-by-step explanation:
can someone please help me out marking brainliest
Please answer:
Joanna bakes a cake in the shape of a
cylinder. The cake is 10 inches in
diameter and 4.5 inches tall. She
wants to put frosting on the entire
cake that is not resting on the tray.
How many square inches of frosting
will she need?
The cake has a cylindrical format, and the outside of the cake will be frosted, which means that the total surface area has to be found, and doing this, we find that she will need 298.5 square inches of frosting.
Surface area of a cylinder:
The surface area of a cylinder of radius r and height h is given by:
[tex]S = 2\pi r^2 + 2\pi rh[/tex]
The cake is 10 inches in diameter and 4.5 inches tall.
Radius is half the diameter, so [tex]r = \frac{10}{2} = 5[/tex].
The height is [tex]h = 4.5[/tex].
How many square inches of frosting will she need?
This is the surface area, so:
[tex]S = 2\pi(5)^2 + 2\pi(5)(4.5) = 50\pi + 45\pi = 95\pi = 298.5[/tex]
She will need 298.5 square inches of frosting.
A similar problem can be found at https://brainly.com/question/24332238
Answer:
Step-by-step explanation:
First of all, we need the formula of a cylinder which is: 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
BUT also remember we are solving for one base since we do not count the bottom of the tray. That formula would look like this: 2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex] since we are using 1 base instead of 2.
Now input the missing values into the formula and solve:
2[tex]\pi[/tex]rh + [tex]\pi[/tex][tex]r^{2}[/tex]
2[tex]\pi[/tex](5)(4.5) + [tex]\pi[/tex][tex](5^{2})[/tex]
45[tex]\pi[/tex] + 25[tex]\pi[/tex] = 70[tex]\pi[/tex]
Our Answer is 70[tex]\pi[/tex], or 219.91 [tex]in^{2}[/tex]
Sally collected 22 pounds of cans to recycle
and plans to collect 1.8 more pounds each
week. In this situation, what is the value of
the y-intercept?
Step-by-step explanation:
this is an example u can see and write it yourself...
what must be subtracted from 61 to get 5
Answer: 56
Step-by-step explanation:
Let x be the number that is supposed to be subtracted from 61.
Given
61 - x = 5
Add both sides by x
61 - x + x = 5 + x
61 = 5 + x
Subtract 5 on both sides
61 - 5 = 5 + x - 5
x = 56
Hope this helps!! :)
Please let me know if you have any questions
Debt is a result of spending more than you make.
True
False
Three adults are picked at random from those with a mass of 70 kg or less.
Calculate the probability that one of them has a mass of 35 kg or less and the other two each have a
mass greater than 35 kg.