Answer:
a) y = [tex]\frac{1}{2} x[/tex]
b) y = [tex]\frac{5}{2}[/tex]
Step-by-step explanation:
I. If y = 9 and x = 18
so x is double value of y or y * 2
y will be half of x value
that makes y = [tex]\frac{1}{2}[/tex] x
II. If x = 5, replace x with 5
y = [tex]\frac{1}{2}[/tex] (5)
y = [tex]\frac{5}{2}[/tex]
Answer:
(a).
[tex]{ \boxed{ \sf{y = \frac{1}{2}x }}}[/tex]
b).
[tex]{ \boxed { \sf{y = \frac{5}{2} }}}[/tex]
Step-by-step explanation:
explanation for (a):
[tex]{ \sf{y \: \alpha \: x}} \\ { \sf{y = kx}} [/tex]
when y is 9, x is 18
[tex]{ \sf{9 = (k \times 18)}} \\ { \sf{k = \frac{1}{2} }}[/tex]
therefore equation is:
[tex]{ \sf{y = \frac{1}{2}x }}[/tex]
explanation for (b):
when x is 5:
[tex]{ \sf{y = \frac{1}{2}x }} \\ \\ { \sf{y = \frac{1}{2} \times 5}} \\ \\ { \sf{y = \frac{5}{2} }}[/tex]
In a school library, 40% of the books are in Nepali language, 40% of the remaining books are in English and the remaining books are in regional languages. If the number of books in English language is 4800, find the total number of books in the library,
Step-by-step explanation:
Solution,
Let the total number of books be x, then
Books in English language=4800
40% of x=4800
40/100×x=4800
40x/100=4800
40x=4800×100
40x=480000
x=480000/40
x=12000
So the total number of books in the library is 12000.
Please help me I’m struggling! I’ll give a brainliest!!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
k=-5
Step-by-step explanation:
For the points to be collinear any two pair must have the same slope
We find the slope of the 2nd and 3rd points
=1-2/-1--3
=-1/2
Now finding the slope of the 1st and any other point say point 3
1-3/-1-k=-½
-2/-1-k=-½
-4=-1(-1-k)
-4=1+k
k=-4-1
k=-5
PROOF
if the first point is (-5,3)
slope of point 1 and 2
=2-3/-3--5
=-1/2
The length of a rectangle is twice the width. The perimeter is 30 cm. What is the width of the rectangle?
O A. 3.75 cm
B. 5 cm
C. 7.5 cm
OD. 10 cm
E. 15 cm
Answer:
B. 5 cm
Step-by-step explanation:
If the width was 5 cm, the length would be 10 cm. (5 + 10) x 2 = 30 cm.
f(x)=-x^2-10x
Find f(-5)
Answer:
25
Step-by-step explanation:
f(x)=-x^2-10x
Let x = -5
f(-5)=-(-5)^2-10(-5)
= -25+50
=25
4. Determine both the HCF and LCM of 25 and 200
Answer:
The LCM of 25 and 200 is 200.
Explanation:
Find the prime factorisation of 25
25 = 5 × 5
Find the prime factorisation of 200
200 = 2 × 2 × 2 × 5 × 5
Multiply each factor the greater number of times it occurs in steps 1 or 2 above to find the LCM:
LCM = 2 × 2 × 2 × 5 × 5
LCM = 200
Answer:
the HCF of 25 and 200 is 25 because it divides both of them and is maximum factor of them.
LCM of 25 and 200 is 200 because it can be divided by both 200 and 25
Which expression is equivalent to d - 3d – 2d?
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]-4d[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the Expression Given...}}\\\\d-3d-2d\\-------------\\\rightarrow 1d-3d-2d\\\\\rightarrow -2d - 2d\\\\\rightarrow \boxed{-4d}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Tìm tập giá trị y = x² - căn 4 - x²
Answer:
0 and 2 s the answer
Can somebody please help? I been struggling to answer this!
Answer:
the first option is the answer. I am sure of this
Answer:
the first option is the answer
Helppp pleaseeeee
Which expression is equivalent to
Answer:
The second option
Step-by-step explanation:
First, simplify the bracket
[tex] \frac{4r {}^{3} s {}^{2} t {}^{4} }{2r {}^{4} st {}^{6} } [/tex]
Apply Quotient of Powers
[tex]2 {r}^{ - 1} s {t}^{ - 2} [/tex]
Which equals
[tex] \frac{2s}{rt {}^{2} } [/tex]
Raise this to the fifth power
[tex] \frac{32s {}^{5} }{ {r}^{5} t {}^{10} } [/tex]
Multiply by the outsides numbers(5^r^6 and t^4
[tex] \frac{160 {}^{} r {}^{6}s {}^{5} t {}^{4} }{r {}^{5} t {}^{10} } [/tex]
[tex]160r {}^{5} t {}^{ - 6} [/tex]
[tex] \frac{160r {}^{}s {}^{5} }{t {}^{6} } [/tex]
1. Identify the terms in the expression
1.3x - 2.7x2
-
5.4x + 3
50 points whoever aswners it
Answer:
- and+
Step-by-step explanation:
Answer:
1.3x, -2.7, x^2 (x squared), -5.4x, +3 are the terms. hope this helps
Step-by-step explanation:
- Zombie
3/4x + 4/7y = 5/4x -1...solve for y
Answer:
[tex] \frac{3}{4} x + \frac{4}{7} y = \frac{5}{4} x - 1 \\ \frac{4}{7} y = \frac{5}{4} x - 1 - \frac{3}{4} x \\ \\ \frac{4}{7} y = \frac{5x - 4 - 3x}{4} \\ \frac{4}{7} y = \frac{2x - 4}{4} \\ \\ y = \frac{2x - 4}{4} \div \frac{4}{7} \\ y = \frac{2x - 4}{4} \times \frac{7}{4} \\ \\ y = \frac{14x - 28}{16} \\ \\ y = \frac{14x}{16} - \frac{28}{16} [/tex]
I hope I helped you^_^
Point B is on line segment AC. Given AB=4x-6, AC=2x+10, and BC=4, determine the numerical length of AC
Answer:
AC = 22
Step-by-step explanation:
AB + BC = AC , substitute values
4x - 6 + 4 = 2x + 10 , that is
4x - 2 = 2x + 10 ( subtract 2x from both sides )
2x - 2 = 10 ( add 2 to both sides )
2x = 12 ( divide both sides by 2 )
x = 6
Then
AC = 2x + 10 = 2(6) + 10 = 12 + 10 = 22
Hey! I hope you’ve had a good day:) I just need help in geometry right now. Can someone take a look at this question?
Answer:
(5,2)
Step-by-step explanation:
midpoint formula for future reference
(x1+x2/2),(y1+y2/2)
(3+7/2),(-5+9/2)
(10/2),(4/2)
(5,2)
Find the difference between temperatures of 17 degrees celcius above zero and 12 degrees celcius below zero
Answer:
29° C
Step-by-step explanation:
-17(-12)
=29
Hope this helps
Answer:
29C
Step-by-step explanation:
Above zero temperature = +17C
Below zero temperature = -12C
Difference= 17 - (-12C)
= 17 + 12 C
=29C
How many solutions are there to the equation below?
145 = 10x - 8x
O A. infinitely many
O B. 2
O c. 1
Answer:
c. one solution
Step-by-step explanation:
[tex]145 = 10x - 8x \\ 2x = 145 \\ x = 72.5[/tex]
Answer:
C
Step-by-step explanation:
yes
this is the answer for sure
SOMEONE HELP ME PLEASE
Answer:
25.7
Step-by-step explanation:
PQ=PR-QR
PQ=38.3-12.6
PQ=25.7 cm
Answer: PQ = 25.7 cm
Concept:
Here, we need to know the idea of the segment addition postulate.
The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
Solve:
Given information
PR = 38.3 cm
QR = 12.6 cm
Given expression deducted from the segment addition postulate
PQ = PR - QR
Substitute values into the expression
PQ = (38.3) - (12.6)
Simplify by subtraction
PQ = [tex]\boxed{25.7cm}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
help asap show work and no links pls
Answer:
f(1) = 2 f(3) = 8 f(t) = 2^t
Step-by-step explanation:
you just plug in the number in the parenthesis next to f to x in the equation 2^x
4 The equation 5W + 3 = 4w + 9 is modeled below. w W 1 W W 1 1 W 1 1 W W 1 1 1 What value of w makes this equation true? Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value. MI - SI – PSA- S-
Answer:
w = 6.
Step-by-step explanation:
5w + 3 = 4w + 9
5w - 4w = 9 - 3
w = 6
Then, check your work!
5(6) + 3 = 4(6) + 9
30 + 3 = 24 + 9
33 = 33
So, w = 6 will be the correct answer.
Hope this helps!
It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?
Answer:
10 areas
Step-by-step explanation:
5 minutes = 1 area
→ Divide the 50 by the 5
50 ÷ 5 = 10
→ Multiply this by the area
10 × 1 = 10
1.
Graph the data in the table. Which kind of function best models the data? Write an equation to model the data.
A. quadratic; y = –2.5x2
B. linear; y = 2.5x
C. exponential; y = 2.5x
D. quadratic; y = 2.5x2
Answer:
D. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
A. quadratic; y = 2.5x2
Step-by-step explanation:
Answer:
Option (1)
Step-by-step explanation:
x -2 -1 0 1 2
y 10 2.5 0 2.5 3.0
Ist difference,
= -2.5
= 2.5
= 7.5
2nd difference,
= 5
= 5
= 5
Since 2nd difference is common, given table represents a quadratic equation.
Let the equation is,
y = ax²+ bx + c
For a point (0, 0) passing through the quadratic equation,
0 = c
Therefore, quadratic equation is y = ax² + bx
Since ordered pair (-1, 2.5) passes through the graph of the function,
2.5 = a(-1)² + b(-1)
a - b = 2.5 ------(1)
For another point (1, 2.5)
2.5 = a(1)² + b(1)
a + b = 2.5 ------(2)
By adding equations (1) and (2),
2a = 5
a = 2.5
and from equation (2)→ y = 0
Therefore, equation of the quadratic function given in the table is y = 2.5x²
Option (1) is the answer.
What is 30-[9+4(8-5)]
Answer:
9
Step-by-step explanation:
30 - (9+4 x 3)
30 - (9 + 12)
30 - 21
= 9
20x2 y(x2 - y2) and 35xy?(x - y)
lcm
Answer:
Correct option is
HCF of 20 and 35 = 5
HCF of x2yandxy2=xy
HCF of (x2−y2),i.e.,(x−y)(x+y)
and (x−y)=(x−y)
∴ReqdH.C.F=5xy(x−y)
Step-by-step explanation:
hiiii ur so cute
How can 863.141 be written in expanded form?
Answer:
800 + 60 + 3 + 0.1 + 0.04 + 0.001
Aimee deposited $250 into a savings account with the simple interest of 6% per year.
After 4 years, how much money, in total, will she have in her account?
Answer:
Step-by-step explanation:
Interest=principal*rate*time/100
Interest=240$
Amount= principal + interest
Amount=$490
evaluate the expression (-2) - ( -5)
Answer:
The answer is 3
Step-by-step explanation:
(-2)+5=3
someone help please :)
Answer:
its basically a Cross
the point they cross is p
and the 2 lines are AB and RS
I hope I'm correct.And yea
.hope it helps
Simplify each expression completely.
7[3+2(x-4)-6(x-4)]
Answer:
21 + 14x - 56 - 42x + 168
= 133 - 28x
Step-by-step explanation:
Answer:
19 - 4x
Step-by-step explanation:
[tex]3 + 2(x - 4) - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6(x - 4)[/tex]
[tex]3 + 2x - 8 - 6x + 24[/tex]
[tex]19 + 2x - 6x[/tex]
[tex]19 - 4x[/tex]
A car accelerates from stationary state to X kmj-1 in 10 minutes. If the acceleration of the car is 300 km h-2, find the value of X.
Step-by-step explanation:
X = Acceleration × time
=300× (10/60)
=50km/h
A rectangle has perimeter 66 cm and length 27 cm. What is its width?
(help pls it’s my hw)
Answer:
Step-by-step explanation:
A rectangle has the perimeter of 66cm, and since a rectangle has 2 lengths and 2 widths, we can tell that 2 widths = 66-27*2 = 12
so 1 width is half of 12 which is 6
B
8
С
Find the length of "c" to the
nearest tenth using the
Pythagorean Theorem.
Enter
Answer:
10.6
Step-by-step explanation:
Pythagorean theorem: a² + b² = c²
Where a and b = the legs and c = hypotenuse
We are given two legs and need to find the hypotenuse
Given:
Short leg (a) = 7
Long leg (b) = 8
Hypotenuse = c
Now to find the value of c we simply plug in the values of the variables into the Pythagorean theorem and solve for c
Pythagorean theorem: a² + b² = c²
a = 7, b = 8, c = c
Plug in values
7² + 8² = c²
Now solve for c
Simplify exponents
49 + 64 = c²
Add
113 = c²
Taking the square root of both sides
c = 10.6 ( rounded to the nearest tenth )
Answer:
c = 10.6
Step-by-step explanation:
[tex]h {}^{2} = p {}^{2} + b {}^{2} \\ c {}^{2} = (8) {}^{2} + (7) {}^{2} \\ c = \sqrt{64 + 49} \\ c = \sqrt{113} \\c = 10.6[/tex]