Answer:
[tex]\huge\boxed{3x-3}[/tex]
Step-by-step explanation:
[tex]3(x-1)=\\\\\text{Distribute: }\left \{ {{3*x=3x} \atop {3*-1=-3}} \right.\\\\3(x-1)=\boxed{3x-3}[/tex]
The distributive property is a very important property used in algebra.
It states that when we have the statement a(b + c), we can "distribute" the
a by multiplying a times both terms that are inside the parenthses.
So that would give us a(b) + b(c) or ab + bc.
The same process is done here.
Distribute the 3 through both terms to get 3(x) - 3(1) or 3x - 3.
. Write the quadratic equation in factored form. Be sure to write the entire equation. x^2 - 5x - 24 = 0
Answer:
[tex](x+3)(x-8)=0[/tex]
Step-by-step explanation:
First, write out the equation as it is given in the problem:
[tex]x^{2}-5x-24=0[/tex]
Now, you have to split up the "-5x" to get to factored form. The way to do this is to look for the factors of "a" times "c" that sum to "b":
So, in this problem, a=1, b=-5, and c=-24. So, find the factors of (1*-24) that sum to (-5). To clarify, (1*-24)=-24, so you have to find factorsof -24 that sum to -5.
Let's write out a list of factors.
[tex]1,-24---1+-24=-23no\\-1,24---1+24=23no\\2,-12---2+-12=-10no\\-2,12----2+12=10no\\3,-8---3+-8=-5yes[/tex]
Therefore, our two factors will be 3x and -8x.
Now, let's rewrite our equation with these new factors in place of the -5x:
[tex]x^{2}-5x-24=0\\x^{2}+3x-8x-24=0[/tex]
Next, find your factored expressions:
[tex]x^{2}+3x-8x-24=0\\(x^{2}+3x)(-8x-24)=0\\[/tex]
Take the GCF from each set of parenthesis:
[tex]x(x+3)-8(x+3)=0[/tex]
The GCFs that you took out will become your second in the set for factorde form. It will be written as "x-8".
Therefore, your equation in factored form will be:
[tex](x+3)(x-8)=0[/tex]
Which statement is true about the geometric figure that can contain these points? No line can be drawn through any pair of the points. One line can be drawn through all three points. One plane can be drawn so it contains all three points. Two planes can be drawn so that each one contains all three points.
Answer:
C
Step-by-step explanation:
trust me
One plane can be drawn so it contains all three points. Then the correct option is C.
What are non-collinear points?Non-collinear points are multiple or more points that cannot all lie on a single straight line. The points are considered non-collinear if any one of them is not situated on the same line as the other ones.
Let n be the number of non-collinear points. Then the number of lines that can be made will be
Number of lines = ⁿC₂
And the number of planes that can be made will be
Number of planes = ⁿC₃
If there are 3 non-collinear points, then the number of lines will be
Number of lines = ³C₂
Number of lines = 3
Then the number of planes will be
Number of plane = ³C₃ = 1
One plane can be drawn so it contains all three points. Then the correct option is C.
More about the non-collinear points link is given below.
https://brainly.com/question/24250339
#SPJ2
the radius and height of a cone are 8 cm and 15 cm respectively find its curved surface are
Answer:
Curved surface area of a cone =πrl.
3.142×8×15=377.04cm
Rewrite using a negative exponent. help ?
Answer:
[tex]a^{-4}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex]
Thus
[tex]\frac{1}{a^{4} }[/tex] = [tex]a^{-4}[/tex]
what is half the sum of x and y decreased by one-third y as a algebraic expression
Which of these represents a quadratic polynomial with exactly two zeros given by - 21 and 2i?
A. O f(x) = x2 – 4
B. O f(x) = x2 +4
C. O f(x) = 2x2
16
D. O f(x) = 2x2 + 16
Answer:
B. x² + 4
Step-by-step explanation:
(0+/-√-16)2
+/- 4i / 2
+/- 2i
Answer:
B
Step-by-step explanation:
(x + 2i)(x - 2i)
= x² - 2ix + 2ix - (2i)²
= x² - 4i²
= x² -4(-1)
= x² + 4
Jess borrows $250 from the bank. The bank charges 11% simple interest over 2 years. How much will Jess owe the bank at the end of 2 years? $27.50 $55.00 $277.50 $305.00
Answer:
$305.00
Step-by-step explanation:
Use the formula I = prt, where I is the interest money created, p is the starting amount of money, r is the interest rate as a decimal, and t is time.
I = prt
I = 250(0.11)(2)
I = 55
Add 55 to the amount he borrowed:
250 + 55
= $305.00
Answer:
[tex]\huge \boxed{\mathrm{\$ \ 305.00}}[/tex]
Step-by-step explanation:
We can use the simple interest formula to calculate for the interest.
[tex]I=P \cdot r \cdot t \\ \\ \\ \sf I = interest \\ \\ P=principal \ amount \\ \\ r=rate \ (\%) \\ \\ t=time \ (years)[/tex]
Calculating the interest over the two years:
[tex]I=250 \cdot 11\% \cdot 2 \\\\ I=250 \cdot 0.11 \cdot 2 \\\\ I=55[/tex]
Adding the interest to the principal amount:
[tex]\Rightarrow 250+55 \\ \\ \Rightarrow 305[/tex]
Jess will owe the bank $305.00 at the end of the 2 years.
orgin lies on which axis
Origin lies on intersection of both acis x and y
Origin: (0,0)
Answer:
[tex]\Large \boxed{\mathrm{Both}}[/tex]
Step-by-step explanation:
The origin is the intersection of the x-axis and the y-axis.
The origin lies on both x-axis and y-axis.
Help needed ASAP will give brainliest.
Answer: Hi!
First, we should find the square root of 68, which is 8.25. (an easy way to find the square root for numbers like this is to just use the calculator, as we can't automatically tell what it is; 68 isn't a perfect square number.) Since we know know the square root we can easily evaluate the questions!
Our answer is c), since the points only span from 0 - 8 and the square root of 68 is 8.25. Since 8.25 is greater than 8, it would be outside of the points and to the right of point Q.
Hope this helps!
PLEASE HELP ME Check the picture and tell me whats the answer please
Answer:
B
Step-by-step explanation:
Given
(4x + 3)(3x - 4)
Each term in the second factor is multiplied by each term in the first factor, that is
4x(3x - 4) + 3(3x - 4) ← distribute both parenthesis
= 12x² - 16x + 9x - 12 ← collect like terms
= 12x² - 7x - 12
The coefficient of the x- term is - 7 → B
Which expression is equivalent to 30x−10?
Answer:
10 (3 x - 1)
Step-by-step explanation:
Convert 550 Hm to mm
Answer:
550 to 5.5
Step-by-step explanation:
At a restaurant, a survey was conducted to find which beverage the customers preferred. In the survey, every woman customer was asked which beverage was her favorite. Were the results of the survey valid
Answer: No, because the sample was not random.
Step-by-step explanation:
For the results to have been valid, the sample would have had to be random meaning that only some of the people were chosen to participate at random.
Instead, EVERY woman customer was asked which means they were not chosen at random as they should have been. Also, they only surveyed women when they should have taken a proper sample consisting of all customers.
Answer:
No, because the sample was not random.
Step-by-step explanation:
Which sets of numbers contain whole numbers? Check all that apply. Negative 2 and StartFraction 5 Over 6 EndFraction, negative 54, negative 4, negative 57 Negative 89, 79, StartFraction 6 Over 9 EndFraction, negative 19 Two-thirds, StartFraction 2 Over 4 EndFraction, 0, StartFraction 2 Over 7 EndFraction Negative 3, negative 2, negative 7, negative 8 StartFraction 1 Over 8 EndFraction, Negative StartFraction 4 Over 8 EndFraction, 1 and StartFraction 3 Over 8 EndFraction, negative StartFraction 7 Over 8 EndFraction
Answer:
The whole numbers are 0 and 79.
Step-by-step explanation:
The numbers provided are as follows:
[tex]-2\frac{5}{6},\ -54,\ -4,\ -57,\ -89,\ 79,\ \frac{6}{9},\ \\\\-19\frac{2}{3},\ \frac{2}{4},\ 0,\ \frac{2}{7},\ -3,\ -2, -7,\ -8,\ \\\\\frac{1}{8},\ -\frac{4}{8},\ 1\frac{3}{8},\ -\frac{7}{8}[/tex]
Whole numbers are a set of natural positive numbers and 0. This set basically consists of counting discrete numbers.
Such as: 0, 1, 2, 3, 4, 5....
From the provided set of numbers the whole numbers are:
S = {79 and 0}
Thus, the whole numbers are 0 and 79.
Answer:
it's B and C
Step-by-step explanation:
FOREVER CHANGED AREAS TOPIC: AREA/ MEASUREMENT Your class of 22 is lining up from recess to go back into the classroom and must maintain social distancing by remaining 180cm apart. What is the length of your line in cm and m?
We have,
Number of students = 22Distance between any two consecutive student = 180 cmTo FinD:
Length of the line in cm and m.....[tex]?[/tex]⚠️ Considering the lateral width of each student be negligible and then only considering the gap between them.
Between 2 students (Gap = 1)Between 3 students (Gap = 2).................Similarly,
Between 22 students (Gap = 21)We have, Length of Gap = 180 cm
➝ Total length of gaps = 180 cm × 21 = 3780 cm
Converting into m,
➝ 100 cm = 1 m
➝ 3780 cm = 3780 / 100 m
➝ 3780 cm = 37.80 m
⚘ Length of line:-
In cm ➝ 3780 cmIn m ➝ 37.8 m━━━━━━━━━━━━━━━━━━━━
A card is drawn at random from a standard pack of playing cards.
Then a fair coin is flipped.
What is the probability of selecting a club and the coin landing on tails?
Answer:
1/8.
Step-by-step explanation:
Prob(selecting a club) = 13/52 = 1/4.
Prob(tail) = 1/2
Required probability = 1/4 * 1/2
= 1/8.
Anna can knit a scarf in 1 2/3 hours. How many scarves can she knit in 4 hours?
This may be the answer.
is ABC similar to DEF? Why or why not?
Answer:
It is A ( read below )
Step-by-step explanation:
There are two VERY similar looking ap3x questions, this one is A but if you look closely on the rightside triangle the angle may say 24 not 25. This is why!
The corresponding angles of the triangles ΔABC and ΔDEF will be the same. Thus, the correct option is A.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The corresponding angles of the triangles ΔABC and ΔDEF will be the same.
And the ratio is calculated as,
6/8 = 7.5/10
3/4 = 3/4
Thus, the correct option is A.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ3
Is the sum of two monomials always a monomial? Is their product alwahs a monomial?
Answer to the first question: no, the sum is not always a monomial
Consider adding 2x and 5y. Both of which are monomials. Their sum is 2x+5y. We don't have like terms, so we can't combine them. The sum is a binomial as it has 2 terms.
======================================
Answer to the second question: yes, their product is alway a monomial
Going back to 2x and 5y. Multiply those two monomials and we get 10xy as a product. This is a monomial as it is one term. If p and q are monomials, then so is pq.
A store sells paint sets. Each paint set cost the same amount. During a sale, the store reduces the price of each paint set by $1.35. Yuri spends $6.88 on 2 paints sets at the same price.
Answer:
4.79
Step-by-step explanation:
4.79 is reasonable for the problem
The price of one paint set before the sale is $4.79
We are expected to determine the price of one paint set before the sale.
From the information given:
Yuri spends $6.88 on = 2 paint set∴
The amount at which Yuri bought 1 paint set is:
[tex]\mathbf{= \dfrac{\$6.88}{2.0}}[/tex]
= $3.44
Recall that during the sale, the store reduce the price of each paint set by $1.35
Therefore, the price of one paint set before the sale is = $3.44 + $1.35 = $4.79
Learn more about word problems here:
https://brainly.com/question/23542499?referrer=searchResults
I'm having a hard time figuring this out I've tries multiple ways but can not get it please help
Answer:
9.6
Step-by-step explanation:
Plugging in the info given, we get:
2(4) - (2/5)(-4) = 8 - (-8/5) = 8 + 8/5
From here, you need to make the denominators of both numbers the same in order to combine them further. Currently, as a fraction, it looks like this:
8/1 + 8/5
To make the denominators the same we can just multiply 8/1 by 5/5 (this is the same as multiplying by 1, which essentially allows us to change it's form without changing its value). Doing that gives:
(8/1)(5/5) + 8/5 = (8•5)/5 + 8/5 = 40/5 + 8/5
= (40+8)/5 = 48/5
So 48/5 is the answer. But the website wants you to put it into decimal form. This can be done using a calculator, but let's pretend we don't have one...
Decimals work by using whole numbers divided by multiples of 10 and can be visualized as moving a decimal left (or right) between numbers. For example:
1/10 = 0.1
4/10 = 0.4
23/10 = 2.3
13/100 = 0.13
59/1000 = 0.059 and so on.
So if we can multiply 48/5 by something to make the denominator some multiple of 10, we can simply move the decimal left once and that's our answer. 2/2 should work here:
(48/5)(2/2) = (48•2)/(5•2) = 96/10 or 96.0/10
96.0/10 = 9.6
So your decimal answer is 9.6.
What is 1 plus 1 minus 1 times 1 times 1 subtract 1 plus 1 times 1 divided by 1 times 1 divided by 1 subtract 1 plus 1 plus 1 divided by 1?
Answer quick pls
Answer:
zero
Step-by-step explanation:
The CORRECT answer is 2.
(I feel like that's obvious) :/
pls send answer ppl
Answer:7,560cm
Step-by-step explanation: Area is found by multiplying each side by each other. 7 x 6 x 12 x 15=7560
7 x 6=42
12 x 15=180
180 x 42=7560
Answer:
73.5cm²
Step-by-step explanation:
area of trapezium is SOPS/2 × ph
sops is the sum of 15+6= 21/2×7
147/2 = 73.5cm²
PLZ HELP ME!!!!! IF ANSWER IS CORRECT, I WILL GIVE U BRAINLIEST
Answer:
[tex] 2.58 \times {10}^{8} [/tex]
Step-by-step explanation:
[tex]9.3. {10}^{7} - 3.4. {10}^{6} \\ = (27 \times 10 - 12) \times {10}^{6}\\ = (270 - 12) \times {10}^{6} \\ = 258 \times {10}^{6} \\ = 2.58 \times {10}^{6 + 2} \\ = 2.58 \times {10}^{8} [/tex]
Answer: i don't know
Step-by-step explanation:
what is this
also i need points! sry
Statistical techniques that summarize, organize, and simplify data are best classified as ____ statistics.
Answer:
descriptive statistics
Step-by-step explanation:
The statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.
The following information regarding descriptive statistics is:
It is applied for measuring or summarizing the attributes of the sample or the data set like the mean of the variable, standard deviation, etc.Also, it is a process for using and do analyses regarding the statistics.In addition to this, it does organizing & simplifying the data.is the process of using and analyzing those statistics.Therefore we can conclude that the statistics that summarizing, organizing, and simplifying the data are known as descriptive statistics.
Learn more about the statistics here: brainly.com/question/22826675
Find the quotient of (9a²b+6ab?): 3ab
Answer:
3a + 2
Step-by-step explanation:
(3a + b)·(3ab) = (9a²b+6ab)
not sure why there is a question mark in the expression?
Express 25 centigrams in grams.
Answer:
0.25g
Step-by-step explanation:
To convert contigrams to grams, you divide the centigram mass value by 100
25/100
= 0.25g
Convert 2 3/8 to a decimal
Answer:
2.375
Step-by-step explanation:
Assuming you mean [tex]2\frac{3}{8}[/tex] (if you meant [tex]\frac{23}{8}[/tex] ignore this answer):
The first part is just 2. That's pretty easy. 2 wholes is 2.0
The 2nd part is 3 eights. Let's figure out how much 1 eight is.
We know it's half of 1/4, which is 0.25
So 1/8 is 0.125
3/8 is thus 3 of those, or 3 * 0.125 = 0.375
Now let's add both parts together.
2 + 0.375 = 2.375
Answer: 2.375
At 5 p.m., Henry and Gordon have made 60 and 20 cranes respectively. Henry can make 30 cranes per
hour while Gordon can make 40 cranes per hour. When will they get the same number of cranes?
At 9p.m.(after 4hours)
Step-by-step explanation:
1h. 1h. 1h. 1h
henry:60. 90. 120. 150. 180
gordon:20. 60. 100. 140. 180
you can find it by using this way.i think it will be help for you.
Answer:
9 p.m.
Step-by-step explanation:
Given:
Start time = 5 p.m.Henry made = 60 cranesGordon made = 20 cranesHenry's speed = 30 cranes/hGordon's speed = 40 cranes/hTo find:
The time Henry and Gordon make same number of cranesSolutionLet the required time = x
For Henry:
60 + 30xFor Gordon:
20 + 40xSince they require the same time and same number, we have:
60 + 30x = 20 + 40x40x - 30x = 60 - 2010x= 40x= 40/10x= 4 hoursThe start time was 5 p.m., we need to add 4 hours to this to get 9 p.m.
Answer: At 9 p.m. they will get the same number of cranes
how do i do 7?im stuck!! please help ahaha
Answer:
Hey there!
p(x)=7x+25
7x+25=60
7x=35
x=5
Let me know if this helps :)