Answer:
STEP 1:Equation at the end of step 1 ((3 • (p3)) + 32p2) - 210p
STEP 2 :Equation at the end of step 2: (3p3 + 32p2) - 210p
STEP 3:STEP 4:
Pulling out like terms 4.1 Pull out like factors : 3p3 + 9p2 - 210p = 3p • (p2 + 3p - 70)
Trying to factor by splitting the middle term 4.2 Factoring p2 + 3p - 70 The first term is, p2 its coefficient is 1 .The middle term is, +3p its coefficient is 3 .The last term, "the constant", is -70 Step-1 : Multiply the coefficient of the first term by the constant 1 • -70 = -70 Step-2 : Find two factors of -70 whose sum equals the coefficient of the middle term,
which is 3 . -70 + 1 = -69 -35 + 2 = -33 -14 + 5 = -9 -10 + 7 = -3 -7 + 10 = 3 That's itStep-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and 10 p2 - 7p + 10p - 70
Step-4 : Add up the first 2 terms, pulling out like factors : p • (p-7) Add up the last 2 terms, pulling out common factors : 10 • (p-7)Step-5 : Add up the four terms of step 4 : (p+10) • (p-7) Which is the desired factorization
Final result : 3p • (p + 10) • (p - 7)
Step-by-step explanation:
mark me brainliest!!
helpp plss 10 points
Answer:
A
Step-by-step explanation:
calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+( y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = A (5, 1 ) and (x₂, y₂ ) = B (- 3, - 3 )
AB = [tex]\sqrt{(-3-5)^2+(-3-1)^2}[/tex]
= [tex]\sqrt{(-8)^2+(-4)^2}[/tex]
= [tex]\sqrt{64+16}[/tex]
= [tex]\sqrt{80}[/tex]
= [tex]\sqrt{16(5)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{5}[/tex]
= 4[tex]\sqrt{5}[/tex] → A
Analyzing Tables for Exponential Relationships
Which table represents an exponential function?
1
2
3
?
Angle e and f are vertical angles if angle e has a measure of (4x +2) degrees and angle f has a measure of 70 degrees what is the value. Of x
Answer: 17
Step-by-step explanation:
Please I need help. Use the diagram to find the measure of LM.
The arc angle LM of the circle is 60 degrees.
How to find the arc angle of a circle?The arc angle LM of the circle can be found as follows:
The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Therefore, let's find the central angle that subtend LM in the circle as follows:
central angle = 180 - 120 = 60 degrees(angle on a straight line)
Hence, the central angle is equals to the arc angle.
Therefore,
arc LM = 60 degrees
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Math problem of in to feet. The answer that I have is incorrect.
Answer: 15.75
Step-by-step explanation: 4.5 x 3.5
3) Estimate the product by rounding each number to its highest place value. 3,812.99 x 62.7=
Answer:
The answer without rounding the numbers to the highest place value is 239074.473 if this was rounded to the nearest whole number it will be 239074
Step-by-step explanation:
3812.99 would be rounded to 3813
62.7 would be rounded to 63
3813*63=240219 <-----Correct answer
hope this helps mark brainliest please :)
Please Help!! Brainiest!!
Step-by-step explanation:
inequalities follow basically the same rules as equalities (ahem, equations). for creation and calculation.
you just indicate whole areas above or below given lines.
behind every inequality is a "normal" equation that defines the delimiter.
the question already tells us which variables to use.
x = number of hot dogs
y = number of peanuts (I guess, bags of peanuts)
he wants to buy at least 4 snacks.
hmmm.
what would you do, if the question asked us :
he wants to buy 4 snacks.
what did you learn from the previous questions ?
the equation would be
x + y = 4.
but now it asks us about "at least" 4 snacks. so every solution, 4 or more, is valid. not only 4.
so, the inequality is
x + y >= 4
and he has $20 to buy these snacks.
again, with equations we would have said
3x + 2y = 20
remember, a hot dog costs $3, a bag of peanuts costs $2. so, every single hot dog and every single bag of peanuts brings itself into the cost calculation with that amount.
x hot dogs cost $3x. y bags of peanuts cost $2y.
but here, we are now flexible. he can spend $20, but he does not have to fully exceed his budget. he can also spend less.
so, the inequality is
3x + 2y <= 20
together these inequalities now describe the situation that he cannot spend more than $20, but he can spend as little as he wants, as long as he gets at least 4 snacks.
all combinations of x and y values that satisfy these conditions are valid solutions.
the actual solution would be then more complex, as the real life scenario gives us more constraints :
0 <= x <= 6 (because with more than 6 hot dogs alone he would already bust his budget).
0 <= y <= 10 (after buying 10 bags of peanuts the $20 are gone).
that eliminates the negative value solutions that the basic 2 equations would allow.
Seven less than the product of a number n and 1/7 is no more than 98.
Answer:
1/7(n)-7 < 98
Step-by-step explanation:
I need advice on this answer not good at math
Answer:
A rational number is defined as a number that can be written as a fraction and a number that terminates.
An irrational number is defined as a number that can't be written as a fraction and a number that has no end.
Step-by-step explanation:
4/7 is irrational because, in decimal form, it is 0.57142857...
Square root of 30 is also irrational because the square root is 5.47722557...
21 divided by square root of 4 is rational because square root of 4 is 2 and 21 divided 2 is 10.5.
pi is irrational because, in decimal form, it is 3.14159265....
-27 is also rational because it terminates
Answer:
4/7 rational, Sq root 30 irrational, 21/Sq root 4 rational, pi irrational, -27 irrational
Step-by-step explanation:
The point (7,0) is reflected over the x-axis. What do you notice about the coordinates of the reflected point? Why is this
Answer:
reflected point: (7, 0)any point on the line of reflection is invariantStep-by-step explanation:
The point (7, 0) becomes the point (7, 0) when reflected over the x-axis. That is, its coordinates do not change.
The point (7, 0) lies on the x-axis, so is on the line of reflection. Any point on the line of reflection is invariant--it doesn't move.
__
The transformation for reflection in the x-axis is ...
(x, y) ⇒ (x, -y)
(7, 0) ⇒ (7, 0) . . . . . . the opposite of 0 is 0
Teresa bought 4 gallons of juice for her family. How many ounces of juice did Teresa buy?
PLEASE HELP!!!
What is the formula of g in terms of f?
Choose 1 answer:
A. - 1/3 f(x)
B. f(-3x)
C. -3f(x)
D. f (- 1/3x)
Answer:
A
Step-by-step explanation:
y = a f(x)
If |a| > 1 then a f(x) is f(x) stretched vertically by scale factor of a
If 0 < |a| < 1 then f(x) is squashed vertically
If a < 0 then f(x) is also reflected in the x-axis
y = f(ax)
If |a| > 1 then f(ax) is f(x) squashed horizontally by a scale factor of a
If 0 < |a| < 1 then f(x) is stretched horizontally
If a < 0 then f(x) is also reflected in the y-axis
g(x) has been squashed vertically by a scale factor of 1/3 (green on the attached diagram) and then reflected in the x-axis (red on the attached diagram)
Therefore, the solution is [tex]g(x) = -\dfrac13f(x)[/tex]
How are the expressions 1/3Bh and 1/3 πr²h related?
Please help! I think I have the equation set up.
[tex]\bold{\huge{\underline{ Solution }}}[/tex]
Given :-Here, we have given one quadrilateral that is quadrilateral ABCD We also have given the angles of quadrilateral that is ( 6x + 5)° , ( 9x - 10)° , 80° and a right angleTo Find :-Here, we have to find the value of x
Let's Begin :-We have given quadrilateral ABCD here , whose angles are as follows
Angle A = ( 6x + 5)°Angle B = ( 9x - 10)°Angle C = 80°Angle D = A right angled triangle[ The measure of right angled triangle is 90° ]
We know that,
Sum of the angles of quadrilateral is equal to 360°That is
[tex]\bold{\angle{ A + }}{\bold{\angle{B +}}}{\bold{\angle{C + }}}{\bold{\angle{D + = 360{\degree}}}}[/tex]
Subsitute the required values
[tex]\sf{ ( 6x + 5){\degree} + 80{\degree}+ 90{\degree} + (9x - 10){\degree} = 360{\degree}}[/tex]
[tex]\sf{ 6x + 5 + 170{\degree} + 9x - 10 = 360{\degree}}[/tex]
[tex]\sf{ 15x - 5 = 360{\degree} - 170{\degree}}[/tex]
[tex]\sf{ 15x - 5 = 190 {\degree}}[/tex]
[tex]\sf{ 15x = 190 {\degree} + 5 }[/tex]
[tex]\sf{ 15x = 195 {\degree}}[/tex]
[tex]\sf{ x = }{\sf{\dfrac{ 195}{15}}}[/tex]
[tex]\sf{ x = }{\sf{\cancel{\dfrac{ 195}{15}}}}[/tex]
[tex]\bold{ x = 13 }[/tex]
Hence, The value of x is 13 .
[tex]\bold{\huge{\underline{\red{ Verification }}}}[/tex]
Measure of Angle A
[tex]\sf{ = (6x + 5){\degree}}[/tex]
[tex]\sf{ = (6(13) + 5 ){\degree}}[/tex]
[tex]\sf{ = (78 + 5 ){\degree}}[/tex]
[tex]\sf{ = 83{\degree}}[/tex]
Measure of Angle D
[tex]\sf{ = (9x - 10){\degree}}[/tex]
[tex]\sf{ = (9(13) - 10){\degree}}[/tex]
[tex]\sf{ = (117 - 10 ){\degree}}[/tex]
[tex]\sf{ = 107{\degree}}[/tex]
Now, we know that,
Sum of angles of triangles is equal to 360°That is,
[tex]\sf{ 83{\degree} + 80{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 163{\degree}+ 90{\degree} + 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]
[tex]\sf{ 253{\degree}+ 107 {\degree} = 360{\degree}}[/tex]
[tex]\bold{ 360{\degree} = 360{\degree}}[/tex]
[tex]\bold{ LHS = RHS }[/tex]
Hence, Proved.
5⁴(3406 - 867) + (1.9 x 6) = ?
Step-by-step explanation:
5⁴(3406 - 867) + (1.9 x 6)
=625(2539) + 11.4
= 1586875 + 11.4
=1586886.4
Answer:
= 1586886.4
Step-by-step explanation:
5^4 = 5 x 5 x 5 x 5
= 625
625(3406 - 867)
625 x 3406
= 2128750
625 x 867
= 541875
2128750 - 541875
= 1586875
1.9 x 6
= 11.4
1586875 + 11.4
= 1586886.4
Can someone help me solve this problem please
Answer:
=10cm
Step-by-step explanation:
=4times5 divided by 2
But that is only one triangle, the whole area is 40cm*2
HELP PLEASEEEE 24 points!! 7th grade math
Answer:
I think that A 60 and B is acute it must de a bigger 90.
Step-by-step explanation:
What is the slope of a line perpendicular to the line whose equation is 15x+18y=270. Fully simplify your answer.
Answer:
6/5
Step by step explanation:
Here we are provided with a equation which is ,
[tex]\longrightarrow 15x + 18y = 270 [/tex]
And we are interested in finding the slope of the line which is perpendicular to the given line. We may rewrite the equation as ,
[tex]\longrightarrow 18y = -15x +270\\ [/tex]
[tex]\longrightarrow y =\dfrac{-15x+270}{18}\\[/tex]
[tex]\longrightarrow y =\dfrac{-15}{18}x +\dfrac{270}{8}\\ [/tex]
[tex]\longrightarrow y =\dfrac{-5}{6}x +\dfrac{135}{4} [/tex]
Recall the slope intercept form of the line which is y = mx + c .On comparing to which we get ,
[tex]\longrightarrow m =\dfrac{-5}{6} [/tex]
Again , recall that product of slopes of two perpendicular lines is -1. So that ,
[tex]\longrightarrow m_{\perp} =-\bigg(\dfrac{1}{m}\bigg)[/tex]
Hence ,
[tex]\longrightarrow\underline{\underline{ m_{\perp}= \dfrac{6}{5}}}[/tex]
And we are done !
The slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
The equation of the given line is 15x + 18y = 270. To find the slope of this line, we need to rearrange the equation into slope-intercept form, which is y = mx + b, where 'm' represents the slope.
First, solve for 'y':
18y = -15x + 270
y = (-15/18)x + 270/18
y = (-5/6)x + 15
The slope of the given line is -5/6.
For a line perpendicular to this, the slope will be the negative reciprocal of -5/6. The negative reciprocal of a fraction 'a/b' is -b/a.
So, the slope of a line perpendicular to the given line is:
Slope = -(-6/5) = 6/5
Fully simplified, the slope of the line perpendicular to the line with the equation 15x + 18y = 270 is 6/5.
To know more about slope:
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Find a . b if a = 3i + 8j and b= -0.5i - 4j.
Answer:
Step-by-step explanation:
please please, please, please, please, please, please help me please
Answer:
The lines are parallel.
The lines are perpendicular.
The lines must have a slope value of m=1.
The lines intersect at the origin
Answer:
the lines are parallel because yes
PLEASE HELP AS SOON AS POSSIBLE!
Step-by-step explanation:
(i) 240 ÷ 4000 = 0.06
(ii) 760 ÷ 4000 = 0.19
(iii) (20 + 10) ÷ 4000 = 0.0075
I guess this is the answer
i am not sure!!!!
What is the surface area? 1 in 2 in 2 in square inches
Answer:
4 inches squared… but if this is wrong it’s probably because you didn’t specifically say what shape it is
Find the 60th term of the arithmetic sequence -10, 8, 26, ...
Chloe has 12 commemorative plates and 18 commemorative spoons. She wants to display them in groups throughout her house, each with the same combination of plates and spoons, with none left over. What is the greatest number of groups Chloe can display?
6 plates with 3 spoons or 9 plates with 2 spoons
Complete the equation:
Answer:
A
Step-by-step explanation:
x^2-14x+49 factors into (x-7)(x-7) or (x-7)^2
I need help!
I've been stuck on these for a couple days.
Each one is a different question.
Thanks
two segment drawn from one point outside the circle are equal
[tex]\\ \rm\hookrightarrow 6/x=5/x+3[/tex]
[tex]\\ \rm\hookrightarrow 6(x+3)=5x[/tex]
[tex]\\ \rm\hookrightarrow 6x+6=5x[/tex]
[tex]\\ \rm\hookrightarrow x=-6[/tex]
#2
[tex]\\ \rm\hookrightarrow \dfrac{4}{2x}=\dfrac{5}{x}[/tex]
[tex]\\ \rm\hookrightarrow 4x=10x[/tex]
No solution.
HELPP FOR BRUANLEST!!!
Answer:
17/18
Step-by-step explanation:
okay this one is a bit different
you have to take the total number that are batwing-shaped (12) and the total number that are made of cotton (12) and then subtract the ones that are both batwing-shaped and made of cotton.
so 12+12-7 which is 17
then you put that over the total (18)
17/18 doesn't simplify
Please read directions do number 1
a ramp 19 ft long rises to a platform that is 17 ft off the ground. Find x, the angle of elevation of the ramp
Jane made a poster that had a length: 1 2/3 of feet and a width: 5/6 of feet. What is the perimeter of her poster?
Answer:
P = 6 2/3 ft
Step-by-step explanation:
The formula for the perimeter of a rectangle of length L and width W is
P = 2(L + W).
Here the perimeter is P = 2(1 2/3 + 5/6) = 2(5/2 + 5/6)
= 2(15/6 + 5/6) = 2(20/6)
= 40/6 = 20/3
P = 6 2/3 ft