Here's my step-by-step explanation:
We're just gonna factor.
If your teacher has spoken of FOIL, then he/she has probably said that it means First Outer Inner Last and that it helps with distributing problems like these.
Right, so let's get to it.
[tex]2x+3x^2 (4x-5)\\2x(4x-5)+3x^2(4x-5)\\2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)[/tex]
Can you see the FOIL method being spread out here? Let's keep going.
[tex]2x(4x) + 2x(-5) + 3x^2(4x) + 3x^2(-5)\\8x^2 + (-10x) + 12x^3 + (-15x^2)\\12x^3 + 8x^2 - 15x^2 -10x\\12x^3 -7x^2 -10x[/tex]
Hope this helps, and let me know if I made a mistake! ^_^
Imamu pays $30 each month for his gym membership. What is the change amount of money in his account after 2/3 of a year? A.-120 B.-240 C.-270 D.-360 Bob chose A as the correct answer. How did he get that answer?
Answer:
[tex]B.-240[/tex]
Bob got that by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months).
Step-by-step explanation:
You know that Imamu pays $30 each month for his gym membership.
Since there are 12 months in a year, you can find the the number of months that [tex]\frac{2}{3}[/tex] of a year represents:
[tex](12\ months)(\frac{2}{3})=\frac{24\ months}{3}=8\ months[/tex]
Now, in order to find the change amount of money in his account after [tex]\frac{2}{3}[/tex] (8 months), you must solve the following multiplication:
[tex](-30)(8)=-240[/tex]
Bob chose [tex]-120[/tex] (Option A) as the correct answer, but that is incorrect, because he got it by calculating the change amount of money in Imamu's account after [tex]\frac{1}{3}[/tex] of a year (4 months).
[x+4y+z=3
2x + y +z=11
4x + y + 2z = 23
CHALLENGE To find 1,188 divided by 12, I think about 1,200 divided hun
that's 100 groups of 12. 1,188 has 1 fewer group of 12.
Answer:
1188 divided by 12 is 99
Answer:
this is a hard one
Step-by-step explanation:
In a given rectangle, the longer sides are 7 units longer than the shorter sides. If we let the shorter sides be represented as x, write an expression below that represents the perimeter.
A
2x + 7
B
4x2 + 49
C
4x + 49
D
4x + 14
Answer: D because the two longer sides are 7 unites longer, meaning you need to add 14 (7x2) to the final product
Answer:
Option D [tex]4x+14[/tex]
Step-by-step explanation:
Given: The longer sides are 7 units longer than the shorter sides. The shorter side is x.
To find: Write an expression below that represents the perimeter.
Solution: It is given that the shorter side is x.
The longer side is 7 units longer than the shorter side. So, the longer side is [tex]x+7[/tex]
We know that the perimeter of the rectangle is [tex]2(\text{length}+\text{breadth})[/tex]
So, the expression for the perimeter
[tex]=2(x+x+7)[/tex]
[tex]=2(2x+7)[/tex]
[tex]=4x+14[/tex]
Hence, the expression for perimeter is [tex]4x+14[/tex].
So, option D is correct.
What fraction of an inch is 1 cm? I know the answer but don’t know how to show it.
1 cm is approximately 0.394 inches which is the fraction of an inch for 1 cm. This can be discovered by inverting the known relation (1 in = 2.54 cm) or by using dimensional analysis method.
Explanation:The subject of your question concerns the conversion between the units of length, centimeters and inches. In measurement, it is known that 1 inch is equal to 2.54 centimeters. However, you asked what fraction of an inch is 1 centimeter. To find this, we need to invert the relation we know. Thus, 1 cm = 1/2.54 inches.
For a clearer understanding, 2.54 cm is exactly 1 inch (by definition). To find the fractional value of 1 cm in inches, we simply take the reciprocal (invert) of 2.54, because we are essentially asking the question, 'How many cm are there in 1 inch?'. This yields about 0.394, and thus 1 cm = 0.394 inch approximately.
Using Dimensional AnalysisAnother method to understand this conversion is dimensional analysis. It tells us that we're able to convert one unit to another as long as the units are in the same dimension (in this case, length). So based on the relation 1 inch = 2.54 cm, we establish the conversion factor of 1/2.54 = 0.394 inch/cm. So 1 cm * 0.394 inch/cm gives us 0.394 inch.
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What the value of the underline digit 213,669
One
Answer:
10,000
Step-by-step explanation:
Hope this helps!
Hey!
----------------------------------
Solution and Answer:
2 = hundred thousands
1 = ten thousands
3 = thousands
6 = hundreds
6 = tens
9 = ones
----------------------------------
Hope This Helped! Good Luck!
What is the equation of the line that is perpendicular to Y= -2/3X+4 and that passes through (-2,-2)?
Y= 3/2x-10/3
Y=3/3x-5
Y=3/2x+1
Y=3/2x-2/3
Answer:
[tex]y = \frac{3}{2}x + 1[/tex]
Step-by-step explanation:
-2 = 1½[-2] + b
-3
1 = b
y = 1½x + 1
** 1½ = 3⁄2
Perpendicular Lines have OPPOSITE MULTIPLICATIVE INVERSE RATE OF CHANGES [SLOPES]:
-⅔ → 1½
I am joyous to assist you anytime.
Answer:
y=3/2x+1
Step-by-step explanation:
You’re trying to find the perpendicular like equation of y=-2/3x+4 that passes through (-2,-2). Use reciprocal of slope -2/3= 3/2. use y=mx+b and plug in info, (-2,-2) will be plugged in for both y and x and 3/2 will be plugged in for m making -2=(3/2)(-2)+b. Multiply the () to get -2=-3+b, add 3 to both sides of the equation to get 1=b. Use your info to make the finished equation y=3/2x+1
Hector is dividing students into groups for an HR wants to divide the boys and girls so that each group has the same number of the boys and girls their 21 boys and 56 girls signed up for the hike to how many groups can the students be divided how many boys and how many girls will be in each group.
Answer:
7 groups, 3 boys and 8 girls
Step-by-step explanation:
Let total number of groups be [tex]x[/tex]
and total hikers in one group be [tex]y[/tex]
if number of girls and boys in every group is same, then
[tex]\frac{21}{x} + \frac{56}{x} = y[/tex]
[tex]\frac{21 + 56}{x} = y\\x*y = 77[/tex] ....(1)
from (1) [tex]x[/tex] will either be 11 or 7
for [tex]x = 11[/tex] the values won't be real.
For [tex]x = 7\\y = \frac{77}{7} \\y = 11[/tex]
so there will be 7 groups with 11 hikers in each groups and every group will have [tex]\frac{21}{7} = 3[/tex] boys and [tex]\frac{56}{7} = 8[/tex] girls
Solve the following equation. Then place the correct number in the box provided. 5x/8+10=2
Answer:
3 with a remaider of 2
Step-by-step explanation:
10+8=18 5/18=3 with a remainder of 2
5x/8+10=2
-10 each side of the equation
5x/8=-8
multiply each side by 8
5x=-64
divide each side by 5
And then you have your answer x=12 4/5
solve log2 [log3 (log4 x)]=0
Solving the nested logarithmic equation log2 [log3 (log4 x)] = 0 requires repeatedly using the concept that y = logb(x) is equivalent to x = by, resulting in x = 64.
Explanation:To answer your question, we'll need to understand that logarithmic expressions such as log2 [log3 (log4 x)]=0 can be solved by step-by-step process called exponentiation.
First, knowing that y = logb(x) is equivalent to x = by, we can re-write the equation log2 [log3 (log4 x)] = 0 as log3 (log4 x) = 20.
Then, using the concept that the logarithm of a number raised to an exponent is the product of the exponent and the logarithm of the number, move forward to solve log4 x = 31.
Finally, applying the same rule once more gives us x = 43 = 64.
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Any tutors here for the ASVAB? I need immediate help.
Answer:
I can help :)
My sc is softgurlshere
Which ordered pair is a solution of the equation? -3x-y=6
The correct answer is (B) Only (-3, 3).
To determine which ordered pair is a solution of the equation, you need to substitute the values of \( x \) and \( y \) into the equation and see if it holds true. Let's check:
For option A: (-4, 4)
Substituting into the equation: \( -3(-4) - 4 - 6 = 12 - 4 - 6 = 2 \) which is not equal to 0, so it's not a solution.
For option B: (-3, 3)
Substituting into the equation: \( -3(-3) - 3 - 6 = 9 - 3 - 6 = 0 \) which is equal to 0, so it is a solution.
Thus, the correct answer is (B) Only (-3, 3).
Complete question :
Which ordered pair is a solution of the equation?
-3x-y-6
Choose 1 answer:
A Only (-4, 4)
B Only (-3, 3)
C Both (-4, 4) and (-3,3)
D Neither.
2) According to Consumer Reports magazine, the costs per pound of protein for 20 major-brand beef hot dogs are
$14.23, $21.70, $14.49, $20.49, $14.47, $15.45, $25.25, $24.02, $18.86, $18.86, $30.65, $25.62, $8.12, $ 12.74,
$14.21, $13.39, $22.31, $19.95, $22.90, and $19.78, respectively. If the least expensive is considered the top-
ranked, what is the position in terms of a z-score of Thorn Apple Valley beef hot dogs at $14.23 per pound of
protein?
A) -2.67
B) -0.85
C) 0.85
D) 1.42
E) 2.67
Statistics: How would I find the answer?
Answer: -0.85
Step-by-step explanation: a = score-mean/ standard deviation
Mean (add them all up and divide by amount) = 18.8745
Standard deviation =
σ2 = Σ(xi - μ)2/N
= 5.333458985499
SCORE = 14.23
= -0.85
Find the derivative of y = 2(x^2) - x + 4 at x = 2
Answer:
7.
Step-by-step explanation:
y = 2x^2 - x + 4
The derivative y' = 2*2x^(2-1) - 1
= 4x - 1
At x = 2 y' = 4(2) - 1 = 7.
Answer:
7
Step-by-step explanation:
Differentiate using the power rule
[tex]\frac{d}{dx}[/tex](a[tex]x^{n}[/tex]) = na[tex]x^{n-1}[/tex]
Given
y = 2x² - x + 4, then
[tex]\frac{dy}{dx}[/tex] = (2 × 2)x - 1 = 4x - 1
At x = 2 ⇒ [tex]\frac{dy}{dx}[/tex] = (4 × 2) - 1 = 8 - 1 = 7
What are the solutions to 3x2 + 12x +6=0 ?
Answer:
[tex]\large\boxed{x=-2-\sqrt2\ or\ x=-2+\sqrt2}[/tex]
Step-by-step explanation:
[tex]3x^2+12x+6=0\qquad\text{divide both sides by 3}\\\\\dfrac{3x^2}{3}+\dfrac{12x}{3}+\dfrac{6}{3}=\dfrac{0}{3}\\\\x^2+4x+2=0\qquad\text{subtract 2 from both sides}\\\\x^2+4x+2-2=0-2\\\\x^2+4x=-2\\\\x^2+2(x)(2)=-2\qquad\text{add}\ 2^2\ \text{to both sides}\\\\x^2+2(x)(2)+2^2=-2+2^2\qquad\text{use}\ (a+b)^2=a^2+2ab+b^2\\\\(x+2)^2=-2+4\\\\(x+2)^2=2\iff x+2=\pm\sqrt2\qquad\text{subtract 2 from both sides}\\\\x=-2\pm\sqrt2[/tex]
What is the change in temperature from -45°F to - 71°F?
1. 26°F
2. -116°F
3. 116°F
4. -26°F
Hey there you answer is -26°F Because, if you subtract -45 from -71 you would get -26 because it is still in the negative's place. Hope this helped! Your fellow Brainly user, GalaxyGamingKitty.
Which ratios are equal to each other?
A.1:16 and 2:8
B. 2:32 and 4:8
C. 1:64 and 4:16
D. 1:16 and 4: 64
Answer:D
Step-by-step explanation:1 divied by 16 =16
4 divied by 64 = 16
The graph shows the relationship between the volume of a rectangular prism and the volume of a square pyramid with an identical base and height. A coordinate plane showing Prism versus Pyramid. The x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units. The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9). What is the slope of the line?
Answer:
The slope of the line is 3
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form [tex]y/x=k[/tex] or [tex]y=kx[/tex]
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem we have a line that passes through the origin,
so
The graph shows a proportional relation ship
[tex]k=y/x[/tex]
For (1,3) ------> [tex]k=3/1=3[/tex]
For (2,6) ------> [tex]k=6/2=3[/tex]
For (3,9) ------> [tex]k=9/3=3[/tex]
The equation is
[tex]y=3x[/tex]
The slope of the line is 3
Answer:
The slope of the line is 3.
Step-by-step explanation:
In the graph x-axis shows Pyramid Volume in cubic units and the y-axis shows Prism Volume in cubic units.
The line starts at (0, 0) and passes through (1, 3), (2, 6) and (3, 9).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the slope of the line is
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Consider any two points of the line: (0, 0) and (1, 3). So, the slope of the given line is
[tex]m=\frac{3-0}{1-0}[/tex]
[tex]m=3[/tex]
Therefore, the slope of the line is 3.
bob has 5 apples now he has 5 how much does he have now
Answer:
5
Step-by-step explanation: Mind/Bamboozling question
Answer:
Bob has 5 apples still
Step-by-step explanation:
All by the amazing scientific reasoning of
when you have 5 of something
you go away and you still have 5
YOU WILL ALWAYS HAVE 5
8-5b=-7 solve please
Answer:
Step-by-step explanation:
subtract 8
-5b=-15
divide negative 5
b=3
Answer the answer to your question is b=3
The formula to convert °F to °C is C =
Convert 50°C to °F
10°F
20°F
122°F
132°F
Answer: 113°F
Here you go
Answer:
The answer is 122°F
Step-by-step explanation:
[tex]formula \: (celcius° \times 9 \div 5) + 32[/tex]
F°=(c°×9÷5)+32
F°=(50°×9÷5)+32
F°=(50°×1.8)+32
F°=90+32
F°=122°F
find the slope of the line
Answer:
Undefined or No solution
Step-by-step explanation:
Because this line is a straight, vertical line, it means that the slope is undefined, or no solution. Any time you see a straight line going up and down, this will be true. However, if you see a horizonal line, this will not be true.
what is 3/10 of the way from (-3,-6) to (9,4)
we'll first off put the two points in component form, then we'll multiply that by the fraction 3/10 and those coordinates we'll simply add to the first point, anyhow, let's proceed,
[tex]\bf \textit{internal division of a segment using a fraction}\\\\ A(\stackrel{x_1}{-3}~,~\stackrel{y_1}{-6})\qquad B(\stackrel{x_2}{9}~,~\stackrel{y_2}{4})~\hspace{8em} \frac{3}{10}\textit{ of the way from }A\to B \\\\[-0.35em] ~\dotfill\\\\ \stackrel{~\hfill \textit{component form of segment AB}}{ (\stackrel{x_2}{9}-\stackrel{x_1}{(-3)}, \stackrel{y_2}{4}-\stackrel{y_1}{(-6)})\implies (9+3~,~4+6)\qquad \implies \qquad (12,10)} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\bf \stackrel{~\hfill \textit{values to be added to Point A coordinates}} {\cfrac{3}{10}(12,10)\implies \cfrac{3}{10}(12)~,~\cfrac{3}{10}(10)\qquad \implies \qquad \left(\frac{18}{5}~,~3\right)} \\\\\\ \stackrel{\textit{addition of Point A coordinates and values}} {A(-3,-6)+\left( \frac{18}{5},3\right)\implies \left( -3+\frac{18}{5}~~,~~-6+3 \right)\qquad \implies \left( \frac{3}{5}~,~-3\right)}[/tex]
15. The Salton Trough has an elevation of
69 meters below sea level.
The dead Sea Depression is almost 6 times deeper.
Write and find the value of an expression
for the approximate elevation of the Dead Sea Depression.
Answer:
6(-62)
Total: -141
Find all natural values of x such that x/8 is a proper fraction, and x/4 is an improper fraction.
The natural numbers for which x/8 is a proper fraction and x/4 is an improper fraction are 4, 5, 6, and 7.
Explanation:Firstly, let's understand what proper and improper fractions are. A proper fraction is a fraction whose numerator is less than the denominator, and an improper fraction is a fraction whose numerator is equal to or greater than the denominator.
Given that x/8 is a proper fraction and x/4 is an improper fraction, we are looking for a number that is less than 8 (for the proper fraction) and equal to or greater than 4 (for the improper fraction). These restrictions on x mean that x must be in the range 4 ≤ x < 8.
When we consider that x should be a natural number, the only numbers that meet this criterion are 4, 5, 6, and 7. Hence, these are the natural values of x for which x/8 is a proper fraction and x/4 is an improper fraction.
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Final answer:
The values of x that meet both conditions are 5, 6, and 7.
Explanation:
In order to find natural values for x where x/8 is a proper fraction and x/4 is an improper fraction, we must first understand what proper and improper fractions are. A proper fraction is one where the numerator is less than the denominator, whereas an improper fraction has a numerator larger than or equal to the denominator. Given that x/8 must be a proper fraction, x must be less than 8. For x/4 to be an improper fraction, x must be greater than or equal to 4. Therefore, to satisfy both conditions simultaneously, x must fall within the range of 5, 6, or 7. This is because these are the only natural numbers less than 8 and greater than 4.
Determine whether each pair of triangles is congruent. If so, state whether they are congruent by
SSS, SAS, or ASA. If not, explain why.
Answer:
yes they're congruent.
The given information does not provide specific triangles or measurements needed to determine congruency, making it impossible to answer the question.
Explanation:The question asks about determining whether pairs of triangles are congruent and identifying the congruence criteria (SSS, SAS, ASA).
Unfortunately, the provided information does not include any pairs of triangles or any specific measurements needed to determine congruency.
Therefore, it is not possible to answer the question based on the given information.
the angle measures are represented by algebraic expressions. determine the values of x y and z
Answer:
The value of x = 0.5, y = 0.8 and z = 0.9
Step-by-step explanation:
From the given figure. Let's form the equations
50z + 13 + 45x + [tex]\frac{19}{2}[/tex] = 90°
45x + 50z + 13 + 9.5 = 90
45x + 50z + 22.5 = 90
45x + 50z = 90 - 22.5
45x + 50z = 67.5 --------------------------(1)
[tex]\frac{225y}{2} = 90[/tex]° Because it is a right angle.
225y = 180
y = [tex]\frac{180}{225}[/tex]
y = 0.8 --------------------(2)
44x + 125y + 80z -14 = 180° because they are supplementary angles add upto 180 degrees.
44x + 125y + 80z = 180 + 14
44x +125y + 80z = 194 ------------(3)
Now plug in y = 0.8 in the above equation (3), we get
44x + 125 times 0.8 + 80z = 194
44x + 100 + 80z = 194
44x + 80z = 194 - 100
44x + 80z = 94 ---------------------(4)
Now let's solve the equation (1) and (4) using elimination method.
x = 0.5
Now plug in x = 0.5 in the equation (4) and find the value of z
44(0.5) + 80z = 94
22 + 80z = 94
80z = 94 - 22
80z = 72
z = [tex]\frac{72}{80}[/tex]
z = 0.9
Therefore, the value of x = 0.5, y = 0.8 and z = 0.9
1.
A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Part A: Determine h(3) and explain what it represents.
Answer:
The ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Step-by-step explanation:
The quadratic function [tex]h(t) = -4.9t^2 + 22t + 5.5[/tex] represents the height of the ball above the ground, h(t), in meters, with respect to time, t, in seconds.
To find h(3), substitute t = 3 into the function expression:
[tex]h(3)=-4.9\cdot 3^2+22\cdot 3+5.5\\ \\=-4.9\cdot 9+66+5.5\\ \\=-44.1+71.5\\ \\=27.4[/tex]
Meaning: the ball throw into the air with an initial velocity of 22 meters per second is 27.4 meters above the ground after 3 seconds.
Please answer this correctly
Answer:
Julie
Step-by-step explanation:
She days she lives farther than Joseph and Joseph lives father than dalton
Answer:
Julie
Step-by-step explanation:
Joseph lives farther from the library than David and Dalton.
We are not sure who is closer to the library, David or Dalton, but Joseph is farther than both.
Joseph David Dalton Library
or
Joseph Dalton David Library
Julie lives farther from the library than Joseph, and David lives farther from the library than Dalton. Now we know where David and Dalton go in the figure.
Julie Joseph David Dalton Library
The farthest person from the library is Julie.
Answer: Julie
(Geometry) The answers are x = 15 and y = 9 but I don't know how. Help me understand this
Check the picture below.
[tex]\bf \stackrel{\measuredangle DAC}{4y+2x}~~=~~\stackrel{\measuredangle BCA}{9y-x}\implies 2x=5y-x\implies 3x=5y\implies \boxed{x=\cfrac{5y}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\measuredangle DAB}{[(4y+2x)+35]}~~+~~\stackrel{\measuredangle ADC}{5x+4}~~=~~180\implies 4y+2x+5x+39 = 180 \\\\\\ 4y+7x+39=180\implies 4y+7x=141\implies \stackrel{\textit{substituting "x"}}{4y+7\left( \boxed{\cfrac{5y}{3}} \right)} = 141[/tex]
[tex]\bf 4y+\cfrac{35y}{3}=141\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{3}}{3\left( 4y+\cfrac{35y}{3} \right)=3(141)}\implies 12y+35y=423 \\\\\\ 47y=423\implies y=\cfrac{423}{47}\implies \blacktriangleright y = 9 \blacktriangleleft \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{since we know that}}{x=\cfrac{5y}{3}}\implies x = \cfrac{5(9)}{3}\implies \blacktriangleright x = 15 \blacktriangleleft[/tex]