Answer:
t= r-21
7
Step-by-step explanation:
r = 7(t+3)
expanding the bracket
r = 7t + 21
bringing t to the left hand side
7t = r - 21
divide both sides by seven
t= r-21
7
Answer:
t = (r/7) - 3
Step-by-step explanation:
Given equation,
→ r = 7(t + 3)
Now the value of t will be,
→ r = 7(t + 3)
→ r = 7t + 21
→ r - 21 = 7t
→ 7t = r - 21
→ t = (r - 21)/7
→ t = (r/7) - 3
Hence, value of t is (r/7) - 3.
Evaluate F(x) = x^2 + 1 for f(-1)
Answer:
2
Step-by-step explanation:
f(x) = x^2 + 1
f(-1) = (-1)^2 + 1
f(-1) = 2
Answer:
f(x)=x^2+1
f(-1)=(-1)^2+1
f(-1)=1+1
f(-1)=2
Determine the solution, if any, to the system of equations below. 8. 2y = 1 - 4x + y = 3 Show your work or explain how you got your answer.
Answer:
y=1/2 , x= -5/8
Step-by-step explanation:
⇒[tex]2y=1. -4x+y=3 : y=\frac{1}{2} \\\left \{ {{2y=1} \atop {-4x+y=3}} \right. \\ where: y=\frac{1}{2} \\-4x+\frac{1}{2}=3\\isolate for -4x+\frac{1}{2} =3: x=-\frac{5}{8} \\y=\frac{1}{2} : x=\frac{-5}{8}[/tex]
What is the distance between the points (8, 12) and (1,3)? If necessary, round
your answer to two decimal places.
Answer:
13.03 units
using distance formula which is
root under
(X\/2-X\/1)^2 + (y\/2-y\/1)^2
What is the ratio of people who prefer pistachio to the people who prefer vanilla?
- 3/2
- 2/3
- 4/5
- 5/4
Answer:
3/2
Step-by-step explanation:
Answer:
2/3
Step-by-step explanation:
people who like pistachio = 24
people who like vanilla = 36
ration pf people who prefer pistachio to the peple who prefer vanilla = 24/36
=2/3
what is the value of J
Answer:
Step-by-step explanation:
Since all 3 of these angle come off a straight line, they all add up to equal 180. Thus,
2j + 32 + 6j - 2 + 30 = 180 and
8j + 60 = 180 and
8j = 120 so
j = 15
Step 1: ax2 + bx + c = 0 Step 2: ax2 + bx = −c Step 3: Step 4: Step 5: Step 6: Step 7: Step 8:
Solution :
Given a quadratic equation :
[tex]ax^2+bx+c = 0[/tex]
Step 1 : [tex]ax^2+bx+c = 0[/tex]
Step 2 : [tex]ax^2+bx=-c[/tex]
Step 3 : [tex]$x^2+\frac{b}{a}x = -\frac{c}{a}$[/tex]
Step 4 : [tex]$x^2+\left(\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 5 : [tex]$\left(x+\frac{b}{2a}\right)^2=\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 6 : [tex]$\left(x+\frac{b}{2a}\right)=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)$[/tex]
Step 7 : [tex]$x=\sqrt{\left(\frac{b}{2a}\right)^2\left(\frac{-c}{a}\right)} - \frac{b}{2a}$[/tex]
Step 8 : [tex]$x= \frac{-b \pm \sqrt{b^2-4ac}}{2a}$[/tex]
Thus the derivation for finding the roots of a quadratic equations.
Answer:
B D A C
Step-by-step explanation:
Edge 2021
Which expression is equivalent to 10k + 17 - 7j - 18 - 11k?
-8jk - 1
-7j - k - 1
-7j + k + 1
-8j - k
PLEASE HURRY !!!!
20 POINTS!!!
Answer:
-7j-k-1
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
An equivalent expression is an expression which is equal to 10k + 17 - 7j - 18 - 11k. You can expand or simplify an expression to make an equivalent expression. Combine like terms to form a new equivalent expression. Like terms are terms which have the same base or variable.
10k + 17 - 7j - 18 - 11k
10k -11k + 17 - 18 - 7j Move to group like terms together.
-k - 1 - 7j
Is Is y=2x+7 proportional?
Answer:
no
Step-by-step explanation:
Proportional must go through (0,0)
0 = 2(0) +7
0 = 7
This is not true so this is not proportional
Solve the system by substitution.
y = 7x– 45
Y = 2x
Answer:
(x,y)=(9,18)
Step-by-step explanation:
F
is directly proportional to
a
.
If
F
=
25
when
a
=
5
find,
F
when
a
=
8
Answer:
F= 40
Step-by-step explanation:
F=ka
25 = k 5
k = 5
F=5a
F=5*8
F= 40
help me please as soon as possible. I will mark you as the brainliest
1) 36
2) 143
3) 18
4) 12
5) 15
6) 108
7) 58
The key here is to perform direct substitution in each problem.
I'll do a quick working down here
1) 9(8-4)= 9*4 =36
2) 4(5*4)+7*9= 80+63 =143
3) 114-(3*8*4)= 114-96=18
4) 24/(1*2) = 24/2 = 12
5) 19 - (28/7) = 19- 4 = 15
6) 3 (6)^2 = 3*6*6= 108
7)49 - 3(3)^2 + (6)^2 = 49-27+36= 58
Please help, I need it due today and urgently! Please give a small explanation and an answer
Answer:
0=0 1=1 6<8
Since 6 < 8 0.16 < 0.18
so, the hummingbird weighs more than a nickel
Step-by-step explanation:
6 is less than 8 so therefore .16 is less than .18. The nickel weighs .18 and .16 is less than that.
find the volume of the rectangle
Answer:
3/16
Step-by-step explanation:
simply multiply all 3 numbers
A city planner wanted to place the new town library at site A. The mayor thought that it would be better at site B. 1. What transformations were applied to the building at site A to relocate the building to site B? 2. Did the mayor change the size or orientation of the library?
Answer:
you have to connect an image or provide further information
Step-by-step explanation:
please help me with my question
Answer:
14.3%
Step-by-step explanation:
subtract 320 with 280 which is 40. divide 40 with 280 and multiply that will 100. You get 14.3%
Answer:
14.28 %
Step-by-step explanation:
cost price of an umbrella = 280
selling price of an umbrella = 320
profit% = SP - CP / CP *100%
=320 - 280/280 * 100
=40/280 * 100
=4000/280
=14.28
pls solve quickly !!
Answer:
Options A
Step-by-step explanation:
Properties of the graph given for the function 'g',
y-intercept of the function 'g' → y = -4
Minimum value of g(x) → y = -4 (Value of the function at the lowest point)
Roots of g(x) → x = -2, 2
At x = 4,
g(4) = 11
Another function is,
f(x) = -x² - 4x - 4
= -(x² + 4x + 4)
= -(x + 2)²
Properties of the function f(x) = -(x + 2)²,
y-intercept (at x = 0) of the function 'f',
y = -(x + 2)²
y = -4
Since, leading coefficient of the function is (-1) therefore, graph will open downwards and the maximum point will be its vertex.
Maximum value of the function 'f' = Value of the function at the vertex
Coordinates of vertex → (-2, 0)
Therefore, maximum value of 'f' = 0
Roots (at y = 0) of the function 'f' → x = -2
At x = 4,
f(4) = -(4 + 2)²
= -36
Therefore, Options A will be the correct option.
The formula V=IR shows the relationship between voltage, current, and resistance. Solve this formula for R
Answer:
The formula is [tex]R =\frac {V}{I}[/tex]
Step-by-step explanation:
The formula V = I R shows the relationship between voltage, current, and resistance.
It is given by the Ohm's law.
According to this law, at constant temperature, the current flows in any conductor is directly proportional to the potential difference applied.
V = I R
where, V is the potential difference, I is the current and R is the resistance.
The resistance is given by
[tex]R = \frac{V}{I}[/tex]
Answer:
R = V over I
Step-by-step explanation:
find the midpoint of the line segment with end coordinates of (2,1) and (4,5)
Answer:
(3,3)
Step-by-step explanation:
Help... A store owner collected data about the number of customers who came to the store in a day, y, for several days compared to the high temperature for that day, x. He found that the correlation coefficient was −0.76.
Answer:
Decreased
Strong negative
Step-by-step explanation:
The correlation Coefficient is used to show the strength and type of relationship which exists between the dependent and independent variable. The correlation Coefficient value ranges from - 1, to 1. With values closer to either - 1 or 1 depicting a strong relationship while those closer to 0 represents weak relationship. And correlation Coefficient of 0 indicates that no relationship exiata at all. Depending in the sign, that is positive or negative, positive sign means positive relationship while a negative sign represents a negative association. Positive association is interpreted as, for every increase in A, Variable B also increase and vice versa. For negative association, When A increases, B decreases and vice versa
how mamy times can you subtract 10 from a hundred?
You can substract 10 from 100 ten times :)
Answer:
10
Step-by-step explanation:
100 - 10 = 90 ( 1 )
90 - 10 = 80 ( 2 )
80 - 10 = 70 ( 3 )
70 - 10 = 60 ( 4 )
60 - 10 = 50 ( 5 )
50 - 10 = 40 ( 6 )
40 - 10 = 30 ( 7 )
30 - 10 = 20 ( 8 )
20 - 10 = 10 ( 9 )
10 - 10 = 0 ( 10 )
we subtract 10 from 100 10 times
the ratio of games lost to games won by a cricket team is 2:3. the team has won 18 games.how many games did they lose?
Answer:
they lost 12 games
Step-by-step explanation:
18÷3=6
6×2=12
WILL MARK BRAINLIEST!!!
given j(x)= 7x+5 and k(x)=2x+1
What is (j-k)(1)
Answer:
[tex]7 \times 1 + 5 - 2 \times 1 - 1 = 7 + 5 - 2 - 1 = 12 - 3 = 9[/tex]
A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it
Answer:
A = 4a² - 4ab + b²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ) , so
A = (2a - b)² ← expand using FOIL
= (2a)² - 2ab - 2ab + (- b)²
= 4a² - 4ab + b²
the difference between two number is 5. when the larger number is multiplied by 2, the sum of both the numbers is 7. Hence, represent graphically the simultaneous linear equations in two variables and state the type of solutions.
Step-by-step explanation:
let the larger number = a,
and the smaller one = b.
a - b = 5 ==> a = b+5
2a + b = 7
2(b+5) +b=7
2b+10+b=7
3b= 7-10
3b = -3
b = -1
a = -1+5 = 4
Please help me please
Answer:
21
Step-by-step explanation:
If lines m and n are equal, line t intersects both of them at the exact same angle. This means that 6x+3=7x-19. Start moving the variables to one side. 3=x-19. Then move the numbers to the other side of the equation. x=21.
How many wax warmers will she make when she makes 77 candles
A.75
B.55
C.40
D.69
х
f(x)
18
6
What is the decay factor of the exponential function
represented by the table?
-1
0
1
2.
WINNO
o
O 2
O 2
O 6
Answer:
winno o 6
Step-by-step explanation:
What would happen if you subtracted the equation for z from the equation for 10z?
Answer:9z
Step-by-step explanation:10z-1z=9z
Answer:
the answer would be 3
Step-by-step explanation:
9z = 3
Find the sine ,cosine and tangent ratios of
Step-by-step explanation:
Given that,
Hypotenuse, H = 13
Base, b = 12
Perpendicular, P = 5
[tex]\sin\theta=\dfrac{P}{H}\\\\\sin\theta=\dfrac{5}{13}[/tex]
[tex]\cos\theta=\dfrac{B}{H}\\\\\sin\theta=\dfrac{12}{13}[/tex]
and
[tex]\tan\theta=\dfrac{P}{B}\\\\=\dfrac{5}{12}[/tex]
Hence, this is the required solution.
b) The marked price of a bicycle is Rs. 2000. If the shopkeeper allows some discount and a customer bought it for Rs. 1921 including 13% VAT, how much amount was given as the dis
count?
Answer:
Rs. 300
Step-by-step explanation:
The bicycle marked price = Rs. 2000
The amount the customer bought the bike given that there was some discount allowed by the shopkeeper including VAT = Rs. 1921
The VAT applied = 13%
The amount given as the discount = Required
The VAT is applied to the selling price
Let d represent the discount amount, we have;
The selling price = 2000 - d
The amount paid as VAT = (2,000 - d) × 13% = (2,000 - d) × 0.13
The amount the customer bought it including VAT = The selling price + The amount paid as VAT
The amount the customer bought it including VAT = Rs. 1921
∴ 1921 = 2000 - d + (2,000 - d) × 0.13 = 2,260 - 1.13·d
1.13·d = 2,260 - 1,921 = 339
d = 339/1.13 = 300
The amount given as discount, d = Rs. 300