answer:
48p² + 4p - 4
solution:
8p × 6p +8p × 2 - 2 × 6p - 2 × 2
48p² + 8p x 2 - 2 ×6p - 2 × 2
48p² + 16p - 12p - 4
48p² + 4p - 4
The required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.
Given the two binomial (8p - 2)(6p + 2).
To multiply two binomials, take the first term of the first binomial and multiply with the entire second binomial and positive or negative as per given in the first binomial ,take the second term of the first binomial and multiply with the entire second binomial.
Let a, b, c and d be any four variables. Consider (a - b)(c + d) gives
a(c + d) - (c + d).
That implies, (8p - 2)(6p + 2) = 8p(6p + 2) - 2(6p + 2)
Multiply by removing the brackets gives,
(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 16p - 12p - 4
Combining like terms and algebraic sum gives,
(8p - 2)(6p + 2) = 48[tex]p^{2}[/tex] + 4p - 4.
Hence, the required algebraic product is 48[tex]p^{2}[/tex] + 4p - 4.
Learn more about binomials, click here:
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Jamie went shopping for party snacks. He bought 3 bags of chips for $4.00 each, 5 bottles of soda for $2.00 each and an ice cream cake for $20.00. How much did he spend altogether?
Choose the expression that is a correct translation of the problem.
(3 x 4) x (5 x 2) + 20
(3 + 4) + (5 + 2) + 20
(3 x 4) + (5 x 2) + 20
(3 x 4) + (5 x 2) x 20
Answer:
C (3x4) + (5x2) + 20
Step-by-step explanation:
3 things that cost 4 dollars. 5 things that cost 2 dollars and one that cost 20.
Solve the equation for all values of x in simplest form (x + 3)^2 = -16
Answer:
x = -7 or x = 1
Step-by-step explanation:
Given expression:
(x + 3)² = -16
Problem;
Solve for x;
Solution:
To solve for x; we use the factorization method;
Take -16 to the left of the equation;
(x + 3)² = -16
(x + 3)² + 16 = 0
(x+ 3)² + 4² = 0
if x² + y² = (x + y)(x - y)
So;
(x + 3 + 4) (x + 3 - 4) = 0
(x + 7)(x - 1) = 0
x + 7 = 0 or x - 1 = 0
x = -7 or x = 1
The average number of points a basketball team scored for
three games was 63 points. In two games, they scored the same number of points,
which was 6 points more than they scored in the third game. Write and solve an
equation to find the number of points they scored in each game.
Write the ratio:
10
to
68
as a fraction in lowest terms.
Answer:
5/34
Step-by-step explanation:
change 10:68 into 10/68, then divide by 2/2 to get 5/34.
A grocery store sells an 18 ounce container of peanut butter for $3.28. What is the cost per ounce (unit price)?
Answer:
18 cents
Step-by-step explanation:
3.28/18 = .18
-4 1/5+3 2/3+ -1 2/5
Answer:
-1.9
Step-by-step explanation:
I rounded it to the tenth
Help a nikah out plz lol thx for the help
Answer:
18
Step-by-step explanation:
trapezoid area:
[tex]A=\frac{1}{2} (b_1+b_1)(h)\\A=\frac{1}{2} (4+8)(3)\\A=18[/tex]
Perry took a total of 12 quizzes over the course of 6 weeks. After attending 10 weeks of
school this quarter, how many quizzes will Perry have taken in total? Solve using unit rates.
Answer:
so perry takes about 2 quizzes a week ok well all we have to do is multiply 2×10=...20 so perry takes about 20 quizzes in ten weeks
7x10x10x10x10=
using exponent
7(10^4)
Hope this helps :)
Answer:
70,000
Step-by-step explanation:
100x100=10000x7=70000
The highest temperature recorded in the town of Westgate this summer was 93°F. Last winter, the lowest temperature recorded was -13°F. Find the difference between these two extreme temperatures.
Answer:
80
Step-by-step explanation:
Erica had $1,200 dollar in her bank account and deposited another $300 into the account. By what percent did the amount of the money in her bank account increase?
Answer: 25%
Step-by-step explanation:
How many cyclists are at least 26 years old?
Answer:
15
Step-by-step explanation:
your cell bill for the last month was $148.50 and you think this seems high. If you know that you talked on your phone for 221 minutes last month, how much should your bill have been?
Answer:
should have been around 72
Step-by-step explanation:
dollars
what is 2208 divided by 96?
23............hope this helps
Answer for points:
after Muhamad's death, Islam spread throughout the world mostly due to:
A: Muslim pilgrims teaching their beliefs to others,
B: Muslim empires conquering new territories,
C: Sunni and Shiite leaders agreeing to untie,
D: Christian leaders converting to Islam.
Answer: THE ANWSER IS B
HELP WILL MARK BRAINLIEST PLEASE GIVE EXPLANATION
Answer:
P1P2 = P1P3 = 2√2P2P3 = 4isosceles right triangle (both)Step-by-step explanation:
The length of a side can be found using the distance formula:
d = √((x2 -x1)^2 +(y2 -y2)^2)
For P1P2, this gives ...
d = √((0-(-2))^2 +(1-(-1))^2) = √(4+4) = √8
P1P2 = 2√2
__
The same ∆x and ∆y apply to P1P3, so we know ...
P1P3 = 2√2
__
The lengths of P1P2 and P1P3 are the same, so the triangle is isosceles.
__
The length of P2P3 can be found by subtracting the y-coordinates:
P2P3 = 1 -(-3)
P2P3 = 4
__
We note that the slope of P1P2 is 2/2 = 1, and the slope of P1P3 is -2/2 = -1. The product of these slopes is (1)(-1) = -1, so we know those lines are perpendicular. The triangle is a right triangle.
Please help with number 3
9514 1404 393
Answer:
13/8
Step-by-step explanation:
Put the numbers in the formula and do the arithmetic.
[tex]\dfrac{4\dfrac{2}{3}-\left(-1\dfrac{5}{6}\right)}{-7\dfrac{3}{4}-(-11.75)}=\dfrac{6.5}{4}=\boxed{\dfrac{13}{8}}[/tex]
simplify 4/7 diveded by 3/-8
Answer:
- 32/21 or - 1 11/21
Step-by-step explanation:
(2/5) (-5/7) please show work
(2/5) (-5/7)
What we have to do?To simplify the equation
Step by step explanation:Step 1:
[tex] \blue{= \dfrac{2}{5} \times \dfrac{ - 5}{7} }[/tex]
[tex]\green{so \: after \: simplifying \: the \: equation \: it \: will \: look \: like \: this}[/tex]
Step 2:
[tex] \blue{= \dfrac{2}{1} \times \dfrac{ - 1}{7} }[/tex]
Step 3:
[tex] \blue{=\dfrac{ - 2}{7} }[/tex]
Step 4:
[tex]\blue{=−0.28571✓}[/tex]
________________________________With regards!
★Dull Star★
Is the question inconsistent or conditional?
Answer:
it is inconsistent
Step-by-step explanation:
A school paid $31.25 for each calculator.
a. If the school bought x calculators, how much did they pay?
b. The school spent $500 on calculators. How many did the school buy?
Answer:
16
Step-by-step explanation:
If he school bought 16 calculators they would pay 500 dollars because if you will divide 500 by 31.25 you will get an answer of 16
Solve the 'equation. Then check your solution.
(2 1/7)p=-3
Answer:
p= -7/5
Step-by-step explanation:
Which of the binomials below is a factor of this trinomial?
x² + 14x + 40
O AX-9
O B. 32 + 10
O C. X* 14
D. X+4.
Answer:
D. x + 4Step-by-step explanation:
Let's factor the trinomial:
x² + 14x + 40 = x² + 4x + 10x + 40 = x(x + 4) + 10(x + 4) = (x + 4)(x + 10)x + 4 is between the answer options
Correct option is D.
Bonnie is baking cookies and making icing. She notices that 2 ounces of food coloring creates 9 cups of red icing. If 14 cups of red icing are needed to finish decorating cookies, how many ounces of food coloring are needed? Round to the nearest tenth of an ounce.
Answer:
3.1
Step-by-step explanation:
Write a proportion.
2 / 9 = x / 14
Cross multiply.
9x = 28
Divide.
x ≈ 3.1
WILL GIVE BRAINLIEST! What is the equation of the line passing through the points (4, 7) and (7, 13) in slope-intercept form?
Answer:
y = 2x - 1
Step-by-step explanation:
To get slope:
m = y2 - y1 / x2 - x1
m = 13 - 7 / 7 - 4
m = 6 / 3
m = 2
To get y-intercept:
y = mx + b
13 = 2(7) + b
13 = 14 + b
13 - 14 = b
-1 = b
Put it together:
y = 2x - 1
Giving brainliest for the question if answer correct need answer ASAP
Find each union or intersection. Let X = {1, 4, 9}, Y = {x | x is an odd whole number less than 10}, and Z = {2, 4, 6, 8}.
X U Y
X U Z
X n Y
X n Z
Y n Z
Answer:
X ∪ Y = 1, 3, 4, 5, 7, 9,
X ∪ Z = 1, 2, 4, 6, 8, 9
X ∩ Y = 1, 9
X ∩ Z = 4
Y ∩ Z = ∅
Explanation:
X = [1, 4, 9]
Y = [1, 3, 5, 7, 9]
Z = [2, 4, 6, 8,]
Which of the following ordered pairs is a solution to the inequality y>−2x+7?
Answer: x>-1/2y+7/2
Step-by-step explanation:
I need help, anyone please.
Answer:
Its B
Step-by-step explanation:
Linear funtions need 1 x value for every y value so its B
One should continue to monitor his or her goals and adjust his or her plan for achieving them when it is necessary.
Please select the best answer from the choices provided
True or false
Answer:
true
Step-by-step explanation:
Midpoint of the segment whose endpoints are (6,9) and (-4,16)
Answer:
(4,5)
Step-by-step explanation:
(xa+xb/2,ya+yb/2)
(0+8/2,2+8/2)
(8/2,10/2)
(4,5)
hope this helps