Answer:
b)
p = d − 2
p = d + 1
Step-by-step explanation:
From the above question:
Interpreting the statement above to form algebraic expressions, we have:
Variable p is 2 less than variable d.
Less than means to subtract in this context
p = d - 2
Variable p is also 1 more than variable d
More than means to add in this context
p = d + 1
Therefore, the pair of equations tha best models the relationship between p and d is Option b :
p = d − 2
p = d + 1
What are the solutions to the system of equations?
y=4x^2+6x−3
y=2x−3
Enter your answers in the boxes.
(_,_) and (_,_)
Answer:
(0, - 3 ) and (- 1, - 5 )
Step-by-step explanation:
Given the 2 equations
y = 4x² + 6x - 3 → (1)
y = 2x - 3 → (2)
Substitute y = 4x² + 6x - 3 into (2)
4x² + 6x - 3 = 2x - 3 ( subtract 2x - 3 from both sides )
4x² + 4x = 0 ← factor out 4x from each term
4x(x + 1) = 0
Equate each factor to zero and solve for x
4x = 0 ⇒ x = 0
x + 1 = 0 ⇒ x = - 1
Substitute these values into (2) for corresponding values of y
x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )
x = - 1 : y = 2(- 1) - 3 = - 2 - 3 = - 5 ⇒ (- 1, - 5 )
Santiago buys a new television for $989.76. If
the sales tax rate is 8.75%, what is the total cost
of the television?
Answer:
$1076.36
Step-by-step explanation:
The full price before tax can be represented by 1.00($989.76), and the 8.75% tax by 0.0875($989.76)
which can be combined to obtain the total cost: (1.0875)($989.76) = $1076.36
Evaluate (2x + 3) + ( x- 5) show answer pls
Step-by-step explanation:
2x +3 +x-5
3x+3+(-5)
3x +(-2)
x= -2÷3
x=-6
HOPE IT HELPED1/2 divided by 4 =__
Answer:
1/2 divided by 4 = 1/8 or 0.125
Step-by-step explanation:
1/2 divided by 4
(1/2) ÷ 4
= 1/2 × 1/4
= 1/8 or 0.125
find the length of the diagonals of rectangle QRST
Answer: 11: 26
12: 111
Step-by-step explanation:
Answer:
11:
since diagonal are equal of rectangle
QS=RT
4x+6=6x-4
6+4=6x-4x
2x=10
x=10/2
x=5
now
diagonal :4x+6=4*5+6=26
12.
again
QS=RT
9x+12=11x-10
12+10=11x-9x
2x=22
x=11
now
diagonal=9*11+12=99+12=111
Please help! I will give brainliest to the first correct answer!
Answer:
A)
Step-by-step explanation:
check that the formula in A works . . .
the 7th term should be 320
a(320) = 5(2)^7-1
= 5(2)^6
= 5(64)
= 320
Solve the equation. x/3=15 Shown work.
Answer:
45
Step-by-step explanation:
x/3=15
Mutiply each side by 3
x=45
Step-by-step explanation:
[tex] \frac{x}{3} = 15 \\ ✒ \: x = 15 \times 3 \\ ✒ \: x = 45[/tex]
To verify:-
[tex] \frac{x}{3} = 15 \\ ✒ \: \frac{45}{3} = 15 \\ ✒ \: 15 = 15 \\ ✒ \: L.H.S.=R. H. S[/tex]
Hence verified.
[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]
I don’t know how to do this
Answer:
x-10
Step-by-step explanation:
HELP DUE IN 15 MINS!
Write the equation of a circle that has a center of (-3, 4) and goes through the point (2, 1).
Answer:
Step-by-step explanation:
You can find the left side of the equation for a circle easily enough. It's r^2 that's the problem. It is on the right.
Left Side
(x + 3)^2 + (y - 4)^2 = r^2
Right Side.
x1 = - 3
x2 = 2
y1 = 4
y2 = 1
Use the distance formula to get r^2
r^2 = (x2 - x1)^2 + (y2 - y1)^2
r^2 = (2 - - 3)^2 + (1 - 4)^2
r^2 = 5^2 + (-3)^2
r^2 = 25 + 9
r^2 = 34
Answer
(x + 3)^2 + (y - 4)^2 = 34
help plzzzz i need to find the volume of the cone
Answer:
2h3-r5
Step-by-step explanation:
first 3-2=5
then 2h3-r=2h3-r5
finally 2h3-r5
Answer:
3.28653¯V7h
Step-by-step explanation:
Suppose the cost of electricity is $0.03 for each kilowatt-hour. Carlos's house runs on 11.14 kilowatt-hours a day. Find the cost of electricity for Carlos's house in one day.
A cylinder and its dimensions are shown below.
5 in.
3.5 in.
Benton is painting the lateral surface of this cylinder. Which expression will give him
the number of square inches that he will be painting?
Answer: 2π(1.75)(5)
Step-by-step explanation:
Hoped this helped
What is the length of the missing leg?
Answer:
a = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityTrigonometry
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a leg b is another leg c is the hypotenuseStep-by-step explanation:
Step 1: Define
Identify variables
a = a
b = 8
c = 10
Step 2: Solve for a
Substitute in variables [Pythagorean Theorem]: a² + 8² = 10²Evaluate exponents: a² + 64 = 100[Subtraction Property of Equality] Subtract 64 on both sides: a² = 36[Equality Property] Square root both sides: a = 6What is the reciprocal function of sine?
A. Cosine
B. Cotangent
C. Cosecant
D. Secant
Answer: its a C
Step-by-step explanation: The cosecant is the reciprocal of the sine. It is the ratio of the hypotenuse to the side opposite a given angle in a right triangle.
What is the perimeter of the house is c=5
I’m marking brainliest.
Answer:
132
Step-by-step explanation:
C=5
3c - 2 = 13
2c = 10
4c + 1 = 21
4c + 2 = 22
length = (3c- 2) + (4c + 1)
length = 13 + 21
length = 34
width = (4c + 2) + (2c)
width = 22 + 10
width = 32
Perimeter
p = 2l + 2w
p = 2*34 + 2*32
p = 68 + 64
p = 132
One batch of walnut muffins use 1 1/3 cups of walnuts.How many cups of walnuts are needed to 3 3/4 batches of muffins, answers are only 5 cups, 3 3/12 cups, 5 1/12 cups, and 4 cups, there are no 3 1/4 cups
Answer:
5 cups
Step-by-step explanation:
Let us set it up as a fraction.
[tex]\frac{\frac{11}{3}}{1}=3\frac{\frac{3}{4}}{x}[/tex]
Step 1: Divide the given values
[tex]\frac{11}{3}\div 1 \\\\=\frac{11}{3}[/tex]
Step 2: Multiply the result by the other value
[tex]3\frac{3}{4} \\\\3\frac{3}{4} \times \frac{11}{3}\\\\= 13\frac{1}{4}[/tex]
So, with this solution, the answer is [tex]13\frac{1}{4}[/tex]. However, the answer isn't included in the options provided, so that means the answer is 5 cups.
Find the value of x.
Answer:
70.86 degrees
Step-by-step explanation:
cos x = adjacent side / hypotenuse
= 2/6.1 = 0.32787
x = 70.86.
Answer:
x ≈ 70.9°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{2}{6.1}[/tex] , then
x = [tex]cos^{-1}[/tex] ([tex]\frac{2}{6.1}[/tex] ) ≈ 70.9° ( to 1 dec. place )
Which of the following shows an example of an arithmetic sequence?
5, 15, 45, 135, 405
-5, 0, 0, 0, 0
Olololo
-10, -19, -28, -37,-46
0,1,1,2,2
Determine the common difference:
Answer:
C) -10, -19, -28, -37, -46
Common difference: -9
Step-by-step explanation:
A) 5, 15, 45, 135, 405 is an example of a geometric sequence because each subsequent term is being multiplied by 3, which is the common ratio.
B) -5, 0, 0, 0, 0 is an example of a geometric sequence with a common ratio of 0 because each subsequent term is being multiplied by 0.
C) -10, -19, -28, -37, -46 is an example of an arithmetic sequence because each subsequent term is subtracted by 9, which is the common difference.
D) 0, 1, 1, 2, 2 is neither a geometric nor arithmetic sequence because the sequence shows no pattern that follows that of the two possible sequences.
Draw a box-and-whisker plot of the data. 37, 34, 26, 33, 38, 36, 30
R of breaths of all people in asia in 2016? Expressing your answer in scinentific notation in the form a *10^(b) what are the values of a and b?
Answer:
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
Step-by-step explanation:
Given
See attachment for complete question
Required
Express the answer in [tex]a * 10^b[/tex]
From the question, we have:
[tex]People = 4.46 * 10^9[/tex]
[tex]Breath = 8.4 * 10^6[/tex] breath/person in a year
The number of breath is calculated by:
[tex]Overall = People * Breath[/tex]
So, we have:
[tex]Overall = 4.46 * 10^9 * 8.4 * 10^6[/tex]
Reorder
[tex]Overall = 4.46 * 8.4* 10^9 * 10^6[/tex]
[tex]Overall = 37.464* 10^{9+6}[/tex]
[tex]Overall = 37.464* 10^{15}[/tex]
Using scientific notation [tex]a * 10^b[/tex];
The value (a) must be in the following interval [tex]0 \le a \le 1[/tex]
So, we have:
[tex]Overall = 3.7464 * 10 * 10^{15[/tex]
[tex]Overall = 3.7464 * 10^{16[/tex]
By comparing the above with: [tex]a * 10^b[/tex]
[tex]a = 3.7464[/tex]
[tex]b = 16[/tex]
If a function is defined by the equation y=-5x+1 and the domain is the set {-2,0,2,4},
which set below represents the range of the function?
(1) {11, 12, 13, 14}
(3) {-10, -1,9,19)
(2) {-19, -9,1,10)
(4) {51, 53, 55, 57)
A
Identify the input values.
Since there is an even root, exclude any real numbers that result in a negative number in the radicand
The solution(s) are the domain of the function.
Mark Me Brainest
Please help what’s 6,7,8.
Answer: 7 is 1/8, 8 is 2/8 or 1/4
Step-by-step explanation:
How do I do this please help
Answer:
C) 4,0
Step-by-step explanation:
Basically to find zeros you set up the expression equal to zero.
First pair is (0,0) they derived this by setting the leftmost x to 0 so x=0, this meant that when x was plugged back into the equation y = x(x-4) the y value we got out was 0 because y = 0 (0-4) = 0, thus the pair (0,0).
For second pair, we set up x-4= 0, solve this to get x = 4 (add 4 to both sides). Now plug this back into full equation y= 4 (4-4)= 0, you get y=0 and your ordered pair is (4,0) which is the second pair of zero.
Zero are x-intercept where y is zero which is the main reason why we setup x=0 or x-4=0 to start with.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[answer]
»»————- ★ ————-««
Here’s why:
According to the question, the factored form of the given quadradic expression is: [tex]x(x-4)[/tex].I have graphed this on a graphing program.⸻⸻⸻⸻
When graphed, the parabola passes the points (0,0) and (4,0). They are the zeros.⸻⸻⸻⸻
Option C (4,0) would be the other 'zero'.⸻⸻⸻⸻
See graph attached.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Mi papá quiere comprar una camioneta que cuesta $373,990. Tiene que dar de enganche el 28%. ¿Cuánto es lo que tiene que pagar?
Answer:
i don't speak spanish sorry
Step-by-step explanation:
Answer:
104,717
Step-by-step explanation:
multiplica 373990 por 28% es .28
Here’s the revenue and expenses for the month. Calculate whether Mia had a profit or loss
Answer:
300
Step-by-step explanation:
subract costs from revenue
A television shop sold a set for $799. It made a profit of $ 245.25. How much did the shop buy the television for ?
Answer:
the shop originally bought the television for $553.75
Step-by-step explanation:
this is because if they sold it for $799 and made a profit of $245.25 then you would subtract the profit from the price the TV sold for and you get $553.75
Need help thanks please :)
Answer:
t:
[tex] \infty , - \infty [/tex]
meaning any number can substitute t and it would be the same answer.
Help pleaseee anyone??
It 's c my friend
okayyyyyyyyyyyyyyy
PLS HELP ME!!!!!!!!!!
Answer:
1) yes, SAS
2) yes, AAS
3) yes, SAS
4) not enough information to know
Step-by-step explanation:
I need help
An amount of $16,000 is borrowed for 8 years at 7.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Answer:
$28009.05
Step-by-step explanation:
Let us use the formula A = P(1 + r/n)^(nt)
Step 1: Convert 7.25 to decimal
[tex]7.25\% = 0.0725[/tex] in decimal form
Step 1: Percent means 'per 100'. So, 7.25% means 7.25 per 100 or simply 7.25 over 100. [tex]7.25 \div 100\\\\= \frac{7.25}{100}\\\\= 0.0725[/tex] If you divide 7.25 by 100, you'll get 0.0725 (a decimal number).Step 2: Solve with the formula
[tex]A = 16000(1 + 0.0725)^8\\\\A= 28009.05[/tex]
Step 1: Add the numbers: [tex]1+0.0725=1.0725[/tex][tex]=16000\cdot \:1.0725^8[/tex][tex]=16000\cdot \:1.75056[/tex]Step2: Multiply[tex]=28009.05068[/tex]