Answer:
1. The factored form of the given expression is (x+7)(x+6).
2. What is the expression in factored form . 9x^2 -4
Step-by-step explanation:
1. The given expression is,
The degree of the expression is 2, the constant term is 42, and the coefficient of x is 13.
Use factoring by grouping method
To find the factor form, we have to find two numbers whose sum is 13 and whose product is 42.
The factors of 42 are,
From which the sum of 6 and 7 is 13.
So We can write the 13x as 7x+6x.
2. This expression can be factorized using the difference of squares which can be illustrated as follows:
A^2 - B^2 = (A+B)(A-B)
In the given example:
sqrt(9x^2) = 3x
sqrt(4) = 2
and the two squares are separated by a negative sign
Therefore, the difference of squares is applicable
Based on this, factoring the given expression would give us:
9x^2 - 4 = (3x+2)(3x-2)
Answer Both please and thank you
2(n + 5) = −2
144 =−12(x + 5)
Answer:
1. n=-6
2. x=-17
Step-by-step explanation:
Each ___ real number has no real square root. What is the answer on the line?
Answer:
Negative. Negative numbers don't have real square roots since a square is either positive or 0. The square roots of numbers that are not a perfect square are members of the irrational numbers
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Your Assignment
The most massive planet in the solar system, Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The least massive planet is Mercury, which has a mass of about 330,000,000,000,000,000,000,000 kg.
How many times more massive is Jupiter than Mercury? Answer the questions to find out.
1. Estimate Jupiter's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
2. Estimate Mercury's mass using a one-digit whole number times a power of 10. Be sure to include units.
Write your answer in the space below.
3. Use your estimates to find out how many times more massive Jupiter is than Mercury. Express your answer in standard form (without using a power of 10). Show your work.
Write your answer in the space below.
Answer:
1)2 x 10^27 kg
2)3.30 x 10^23 kg
3)Jupiter is 5,751.51 times more massive than Mercury
Step-by-step explanation:
1)Mass of Jupiter is 2 x 10²⁷ kg.
2)Mass of mercury is 3.30 x 10²³ kg.
3)Jupiter is 5,751.51 times more massive than Mercury.
What is scientific notation?Numbers that are either too large or too little to be conveniently stated in decimal form can be expressed using mathematical symbols.
1. Jupiter, has a mass of about 1,898,000,000,000,000,000,000,000,000 kg.
The scientific notation is:- 2 x 10²⁷ kg.
2. Mercury, has a mass of about 330,000,000,000,000,000,000,000 kg.
The scientific notation is:- 3.30 x 10²³ kg.
Divide Jupiter's mass by the mass of mercury.
Jupiter / Mercury = 2 x 10²⁷ / 3.30 x 10²³
Jupiter / Mercury = 5,751.51
To know more about scientific notations follow
https://brainly.com/question/1767229
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What is the lower quartile? (CAN ANYONE PLEASE HELP:))
Answer:
the answer to that is 12
Step-by-step explanation:
1st, arrange the numbers from lowest to highest
2nd, group them into quarters
= 11, 12, 16, 16, 17, 18, 20
-lq. -mq. -uq.
Imagine that you are doing an exhaustive study on the children in all of the daycares in your school district. You are particularly interested in how much time children spend in active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent in active play on weekends is μ = 65.87, with a standard deviation of σ = 87.08. You select a random sample of 25 children of daycare age in this same school district. In this sample, you find that the average number of minutes the children spend in active play on weekends is M = 59.28, with a standard deviation of s = 95.79.
The difference between M and mu is due to the sampling error is ______.
Answer: The difference between M and mu is due to the sampling error is -6.59 .
Step-by-step explanation:
As per given:
in population, the average number of minutes spent in active play on weekends is μ = 65.87
In sample, the average number of minutes the children spend in active play on weekends is M = 59.28
Now, the difference between M and μ is due to the sampling error is M- μ
= 59.28 - 65.87
= -6.59
So, the difference between M and mu is due to the sampling error is -6.59 .
Angle ABC is 42° and is reflected over the y-axis. How many degrees is angle A'B'C'? 1 point
Answer:24
Step-by-step explanation:
Bet
A set of ordered pairs is called what?
Answer:
A relation
Step-by-step explanation:
Answer:
A relation is a set of ordered pairs. The set of all first components of the ordered pairs is called the domain of the relation and the set of all second components of the ordered pairs is called the range of the relation.
Step-by-step explanation:
b)simplify the expression
7x2 + 4x – 2 + 8x2 – 9x – 5
Answer:
=25x-7
Step-by-step explanation:
2) Find the GCF of 35 and 28
Answer: 7
Step-by-step explanation:
For the equation 4(2x-3)-(mx+5)=5x+b to be an identity, which of the following must be true about the constants m and b? Show your work
(1) m = 3 and b = -7
(2) m = 8 and b = 17
(3) m = -3 and b = -15
(4) m = 3 and b = 17
Given:
The equation is
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
To find:
The values of m and b.
Solution:
We have,
[tex]4(2x-3)-(mx+5)=5x+b[/tex]
Using distributive property, we get
[tex]8x-12-mx-5=5x+b[/tex]
On combining like terms, we get
[tex](8-m)x+(-12-5)=5x+b[/tex]
[tex](8-m)x-17=5x+b[/tex]
On comparing both sides, we get
[tex](8-m)=5[/tex]
[tex]-m=5-8[/tex]
[tex]-m=-3[/tex]
[tex]m=3[/tex]
And,
[tex]b=-17[/tex]
Therefore, m = 3 and b = 17.
Note: All options are incorrect.
3 types of no correlation scatterplots
Answer:
correlation: positive, negative, none
Step-by-step explanation:
Tara buys clay in a tube that is 2 feet long.
She is making clay fl owers and each fl ower
requires __
3
4 foot of clay. How many whole
fl owers can Tara make from the tube of
clay? Tara used the following model to
help her solve the problem.
Find the missing side
Answer:
its E 21
Step-by-step explanation:
4x - 12 +7x
4 is a(n) ___________________
x is a(n) ___________________
12 is a(n) __________________
How many terms are in the above expression?
Answer: 4 is a coefficient, because it's in front of a variable. x is a variable, because it's an unknown value. 12 is a constant, because it's just a value by itself. There are three terms: 4x, -12, and 7x.
Step-by-step explanation:
David buys a bag that cost $72 for binders he spent $17 less than pencils if he spent $119 total how much did you spend on binders
Answer:
55
Step-by-step explanation:
What is Piccolo?
A. Saiyan
B. cyborg
C. Namekian
D. Dermotologist
Answer:
The answer is C
[tex]\huge\boxed{\fcolorbox{purple}{yellow}{Answer}}[/tex]
C) Namekian[tex]{\huge{\underbrace{\overbrace{\purple{hope \: it \: helps \: you \: plz \: mark \: me \: brainliest \: .-}}}}}[/tex]
Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function?
It is linear because the graph decreases over time.
It is linear because there is both an independent and a dependent variable.
It is nonlinear because linear functions are increasing functions.
It is nonlinear because linear functions increase or decrease at the same rate
Answer:D
Step-by-step explanation:cuz im cool
Answer:
It is nonlinear because linear functions increase or decrease at the same rate.
Step-by-step explanation:big brain(:
A chemist has three different acid solutions,
The first solution contains 20 % acid, the second contains 35 % acid, and the third contains 55%
acid.
She created 108 liters of a 40 % acid mixture, using all three solutions. The number of liters of
55 % solution used is 3 times the number of liters of 35 % solution used.
How many liters of each solution was used?
The chemist used
liters of 20% solution,
liters of 35 % solution, and
liters of 55 % solution.
Question Help: Message
instructor
Calculator
9514 1404 393
Answer:
36 liters of 20%18 liters of 35%54 liters of 55%Step-by-step explanation:
Let a, b, c represent the quantities of 20%, 35%, and 55% solutions, respectively. Then for the given mix, we have ...
a + b + c = 108 . . . . . total number of liters
.20a +.35b +.55c = 0.40·108 . . . . . liters of acid
0a - 3b + c = 0 . . . . . 55% solution was 3 times 35% solution
__
Solving these three equations by your favorite method gives ...
(a, b, c) = (36, 18, 54)
The chemist used 36 liters of 20%, 18 liters of 35%, and 54 liters of 55%.
_____
Comment on alternate approach
Since the ratio of 55% to 35% is 3 : 1, that mix will have an acid content of ...
(3(.55) +1(.35))/4 = 0.50 = 50%
So, the final mix is equivalent to some quantity of 50% mix being added to some quantity of 20% mix. The fraction that is 50% mix* will be (40-20)/(50-20) = 2/3 of the total, or (2/3)(108 L) = 72 L.
Now we know that (1/3)(108 L) = 36 L of 20% solution is needed and (1/4)(72 L) = 18 L of 35% solution is needed. 3 times that is 54 L of 55% solution.
__
* After you work a few mixture problems, you can see the pattern. If we start with an equation for x = fraction of 50% to use with 20% to make 40%, we get ...
x(50%) +(1 -x)(20%) = 40%
x(50% -20%) = 40% -20% . . . . . subtract 1(20%) and factor out x
x = (40% -20%)/(50% -20%)
The key here is to see where the numbers 20%, 40%, and 50% show up in the fraction.
4 in.
8 in.
7 in.
Pls help
Answer:
I assume you're asking for the volume, which is 224
Step-by-step explanation:
4x7x8=224
Evaluate 2n + t2 when n =-4 and t = -10
Answer:
92
Step-by-step explanation:
Given
2n + t² ← substitute n = - 4 and t = - 10 into the expression
= 2(- 4) + (- 10)² = - 8 + 100 = 92
Answer: -28
Step-by-step explanation: 2x-4=-8 and -10x2=-20 -8+-20=-28
pls mark brainiest thanks
answer for immediate brainliest
Answer:
3
Step-by-step explanation:
Point M is the midpoint of JK find JK when JM = 6x - 7 MK = 2x + 3
Answer:
JK= 8x-4
Step-by-step explanation:
This is achieved by adding JM And MK because M is the midpoint of JK.
You are at a restaurant and the check comes to a total of $34. If you want to leave a 16% tip, how much total money should you pay, to the nearest cent?
Answer:
34*1.16 = $39.44
Step-by-step explanation:
Answer:
$39.44
Work:
Convert percentage to decimal:
16%=16/100=0.16
Percent formula:
a(1+r)
34(1+0.16)
34(1.16)
39.44
Total amount paid:
39.44
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Could you please help me with this question:
Answer:
$1.80, $2.90, $4.00, $10.90
Step-by-step explanation:
For 9/10 mile, the price will be $1.80. For 2 miles, the price will be $2.90. For 3 1/10 miles, the price will be $4.00, and for 10 miles, the price will be $10.90. The relationship between distance travelled and the price is not proportional because it costs $1.00 for the first 1/10 mile and then for every additional 1/10 mile, it only costs $0.10. Hope it helps!
Evaluate the expression 4x-17 starting at 5 , ending at 20 , and stepping by 5
Use spreadsheet to Evaluate the expression ??
Answer:
Step-by-step explanation:
The question is below answer please
Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are (Your answer here ) peaches in the basket
Can you find the solution
guys once i get 10 brainliest i will start doing +50 points everday!! im at 7 btw !!
Answer:
omg yay congrats :)
Step-by-step explanation:
you can go to my profile page and answer 3 of my questions that only have one answer. you dont have to put a legit answer and i'll give you brainliest ❤️
Answer:
You are almost there!!
Step-by-step explanation:
4. Determine the value of x.
Answer:
x=16
Step-by-step explanation:
(16*3)-2
48-2
46
134+46=180