Answer:
-8
Step-by-step explanation:
m∠3 + m∠5 = 180 (interior angles are supplementary)
-4x + 5 + (-13x + 39) = 180
-4x + 5 -13x +39 = 180
-17x = 180 - 5 - 39
-17x = 136
x = 136/(-17) = -8
someone help plz :(((( !!!
Answer: 9/4a^2|b^3|c^4
Step-by-step explanation:
81/16
Square root(81) = 9
Square root(16) = 4
9/4
Since 4 is the index of the radical, all of the exponents divide by 4
(index 4)a^8 = a^2
(index 4)b^12 = b^3
(index 4)c^16 = c^4
Now put the variables together to get the answer:
9/4a^2|b^3|c^4
What’s the answer ??? Help
Answer:
It's B. (2x+5) (x+4)
Answer:
b
Step-by-step explanation:
2x²+13x+20
You can just try all the answers if you'd like and see which one equals 2x²+13x+20.
Using FOIL for all of them:
a. (2x-5)(x-4) = 2x²-8x-5x+20 = 2x²-13x+20
b. (2x+5)(x+4) = 2x²+8x+5x+20 = 2x²+13x+20
c. (2x+2)(x+10) = 2x²+20x+2x+20 = 2x²+22x+20
d. is obviously not correct since we already have an answer.
Our answer is b. (2x+5)(x+4)
the straight line L has the equation 4y=5x+3. Point A has the coordinates (3,-2) Find the equation of the line straight line that is perpendicular to L and passes through A. Write your answer in the form y-mx+c where m and c are decimals or fractions {3 marks}
Answer:
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange 4y = 5x + 3 into this form by dividing the 3 terms by 4
y = [tex]\frac{5}{4}[/tex] x + [tex]\frac{3}{4}[/tex] ← in slope- intercept form
with slope m = [tex]\frac{5}{4}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{5}{4} }[/tex] = - [tex]\frac{4}{5}[/tex] , thus
y = - [tex]\frac{4}{5}[/tex] x + c ← is the partial equation
To find c substitute (3, - 2) into the partial equation
- 2 = - [tex]\frac{12}{5}[/tex] + c ⇒ c = - 2 + [tex]\frac{12}{5}[/tex] = [tex]\frac{2}{5}[/tex]
y = - [tex]\frac{4}{5}[/tex] x + [tex]\frac{2}{5}[/tex] ← equation of perpendicular line
If the federal government collects $1500 from every tax payer but spends $2500 on each tax payer every 12 months what is a function that would describe the amount of money earned by the government
Answer:
The government loses $1000 per tax payer, according to the following function:
[tex]y(x) = -1000*x[/tex]
Where "y" is the total money earned by the government and "x" is the number of tax payers.
Step-by-step explanation:
Let's call the monetary balance of the government after one year "y", where "x" is the number of tax payers. Since each tax payer, "x", pays a total of $1500 every year, but the government spends $2500 with each one of them, then we can build a function "y(x)", with the value of collected tax being positive while the cost of each tax payer is negative, as shown below:
[tex]y(x) = 1500*x - 2500*x\\y(x) = x*(1500 - 2500)\\y(x) = -1000*x[/tex]
The government loses $1000 per tax payer.
Identify the polynomial. x3y3
Answer:
It's a Binomial
Step-by-step explanation:
a linear function has the same y-intercept as x + 4y= 8 and its graph contains the point (6,3). what is the y intercept?
Answer:
The y-intercept b = 9/2
Step-by-step explanation:
A line has equation x + 4y = 8 or y = (-1/4)x + 2
=> The slope of this line is -1/4
Another line y = ax + b has the slope a = -1/4 and passes (6, 3)
=> 3 = (-1/4)*6 + b
=> 3 = -3/2 + b
=> b = 9/2
=> The y-intercept b = 9/2
Answer: y-intercept = 2
Step-by-step explanation:
Slope-Intercept form of an equation is: y = mx + b where
m = slopeb = y-interceptx + 4y = 8
4y = -x + 8
[tex]y=-\dfrac{1}{4}x+\dfrac{8}{4}[/tex]
[tex]y=-\dfrac{1}{4}x+2[/tex]
The y-intercept (b) = 2
I am not sure why you gave a point that goes through the y-intercept because it does not relate to the question , however, I have shown below the equation of point (6, 3) that goes through b = 2.
y = mx + b
3 = m(6) + 2
1 = 6m
[tex]\dfrac{1}{6}=m[/tex]
Equation: [tex]y=\dfrac{1}{6}x+2[/tex]
I’ve been trying to figure this out all day and still can’t seem to figure it out
Answer:
(4x-1)(4x-1)
(x-6)(x+5)
(3x-7)(3x+7)
(3x-1)(x+6)
Step-by-step explanation:
yes
Select the expression that represents the multiplicative inverse of -4. A. -(-4) B. C. 4 D. -4
Answer:
-1/4
Step-by-step explanation:
Multiplicative inverse is another word for reciprocal
It is the number you multiply by to get 1
-4 * x = 1
Divide each side by -4
x = 1/-4
x = -1/4
Answer:
- 1/4
Step-by-step explanation:
- 4 * x = 1
= - 1/4
Hope this helps!
Topic: Probability
Only complete question 7.
Answer:
see below
Step-by-step explanation:
Somebody please help! And show your work!
a= 34 degrees
b= 28 degrees
c= 62 degrees
Step-by-step explanation:
First you know that b is 1/2 of 56 degrees or 28.
The triangle with the a in it is isoceles because the two sides are both radii.
In the triangle the top angle = 112 because it is a centeral angle to the 112 arc.
Angle a and opposite to a are equal and then have to be 34 degrees to equal 180.
We know two arc lengths are 112 and 56 and the one with angle a has to be 34x2 or 68.
a whole circle equals 360.
360-56-68-112 = 124
Angle c = 1/2 of 124, or 62 degrees
how to write 1/4 as a decimal
Answer:
0.25
Step-by-step explanation:
As a decimal, 0.25
As a fraction, 1/4
As a percentage, 25%
Answer:
0.25
Step-by-step explanation:
1/4
= 1*25/4*25
= 25/100
(Multiplying to both numerator and denominator doesn't change the value)
Now to write 25/100 as a decimal
The decimal point goes two places to the left in 25
(Since 100 has 2 zeroes so two values back)
25/100 = .25
= 0.25
Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
Answer:
5
Step-by-step explanation:
Slope equation is (y2-y1)/(x2-x1)
(-1-4)/(2-3)
-5/-1
5
Please help I’m stuck I would really appreciate it if you could help me in geometry <3
c will prove that b is parallel
Which of the following is equivalent to 18-V-25
Answer:
the correct answer is 18 - 5i.
Step-by-step explanation:
Answer:
18-5i
Step-by-step explanation:
what is the inequality shown?
The solution to the inequality shown is -4 < n ≤ 5
Inequality
Inequality is an equation that is used to show the non equal comparison of two or more numbers and variables.
From the inequality, we can see that:
n > -4 as well as n ≤ 5
Combining this two inequalities gives:
-4 < n ≤ 5
The solution to the inequality shown is -4 < n ≤ 5
Find out more on Inequality at: https://brainly.com/question/24372553
In February, Alec had 1,544 visitors to his website. In March, he had 1,386 visitors to his website. What is the percentage decrease of the number of visitors to Alec's website from February to March? If necessary, round to the nearest tenth of a percent.
a. 11.4%
b. 12%
c. 10.2%
d. 89.9%
Answer:
option c. 10.2%
Step-by-step explanation:
Number of visitors to Alec's website in February = 1,544
Number of visitors to website in March = 1,386
Number of decreasing members = 1544 - 1386 = 158 visitors
decrease percentage = [tex]\frac{\text{number of decreasing members}}{\text{number of previous members}}\times 100[/tex]
= [tex]\frac{158}{1544}\times 100[/tex]
= 10.233 ≈ 10.2%
percentage decrease of the number of visitors is 10.2%.
Option c. is the answer.
How can you tell if an expression is a perfect square trinomial? Explain.
Answer:
Step-by-step explanation:
A perfect square trinomial is the square of a binomial.
One of the special products and factors formulas that you should know is
(a + b)^2 = a^2 + 2ab + b^2; another is (a - b)^2 = a^2 - 2ab + b^2.
So, if you are given a trinomial and can use either of the above identities to rewrite it as the square of a binomial, you've got it.
The table shows the polar bear population in the North
Atlantic's Baffin Bay in 1997 and 2004.
Between 1997 and 2004, Baffin Bay's polar bear
population
528 is about
<
percent of 2074.
Answer:
Between 1997 and 2004, Baffin Bay’s polar bear population
decreased
.
528 is about
25
percent of 2074.
Step-by-step explanation:
Answer:
decreased
25
Step-by-step explanation:
Thank you so much!!!
Answer:
[tex]\fbox{\begin{minipage}{16em}Option D: y = (4/7)x + 8 is correct\end{minipage}}[/tex]
Step-by-step explanation:
(1) A typical form of equation of a line is:
[tex]y = Mx + b[/tex]
with, [tex]M[/tex] is slope and [tex]b[/tex] is y-intercept.
(2) Another straight line has equation in form of:
[tex]y = Nx + c[/tex]
with [tex]N[/tex] is slope and [tex]c[/tex] is y-intercept
(3) If these two lines are perpendicular, according to the property of two perpendicular lines on the two-dimensional plane, we have:
[tex]M[/tex] x [tex]N[/tex] = -1
(4) Transform the given equation of original line into typical form:
[tex]7x + 4y = -24\\[/tex]
<=> [tex]4y = -7x - 24[/tex]
<=> [tex]y = (\frac{-7}{4})x - \frac{24}{4}[/tex]
<=> [tex]y = (\frac{-7}{4})x - 6[/tex]
=> [tex]M = \frac{-7}{4}[/tex]
=> [tex]N = \frac{-1}{M} = \frac{-1}{\frac{-7}{4} } = \frac{-4}{-7} = \frac{4}{7}[/tex]
=> Option D: [tex]y = (\frac{4}{7})x + 8[/tex] is correct (Slope = [tex]\frac{4}{7}[/tex])
Hope this helps!
:)
help please and thank you
What is the y intercept of the function f(x)= -2/9x + 1/3?
Answer:
1/3
Step-by-step explanation:
plug in 0 for x
0 * anything = 0 (cancels out the -2/9) and you're left with 1/3
To what unit rate does 96/12 simplify?
A.8/1
B.9/1
C.10/1
D.12/1
Answer:
A. 8/1
Step-by-step explanation:
96/12=8
12/12=1
Therefore, the answer is 8/1. Have a good day!
8/1 is the unit rate of the fraction 96/12, option A is correct.
The given fraction is ninety six by twelve
96/12
Let us find the unit rate of 96/12
we can divide both the numerator and the denominator by their greatest common divisor, which in this case is 12.
96 divided by 12 is 8
and 12 divided by 12 is 1.
So 96/12 is equal to 8/1
Therefore, the simplified form of 96/12 is 8/1.
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Write four rational numbers between a.2/3 and 4/5 b.-3/2 and 5/3
Answer:
a. 3/4, 7/9, 15/19, 31/39
b. -1, 0, 1, 4/3
Step-by-step explanation:
Pick any number that you can write into a fraction that lies between the 2.
Write 0.245bar in the form p/q
Answer:
245/999
Step-by-step explanation:
0.245bar = n
1000 n - n = 245
999n = 245
n = 245/999
the measure of angle 1 is twice the measure of angle 2, and angle 1 and angle 2 are linear pair. Find the measure of angle 1.
Answer:
m<1=120
Step-by-step explanation:
A linear pair adds up to 180 degrees.
So <1+<2=180
Let <2=X, that would make <1=2X because <1 is 2 times more.
So substitute that into the equation.
2x+x=180.
Combine like terms and get 3x=180
Divide both sides by 3 and get x=60.
Substitute that into <1 and get <1=120
The price of a vase was increased by 4% to £22. What was the price before the increase? Give your answer to the nearest penny.
Answer:
The price before the increase was £21.20
Step-by-step explanation:
Now, let the former price before the increment be £x
The increment would be 22-x
Mathematically, the percentage increment = difference between the prices/old price * 100%
Thus, we have(
(22-x)/x * 100 = 4
100(22-x) = 4x
2200-100x = 4x
100x + 4x = 2200
104x = 2200
x = 2200/104
x = 21.154
which is x = 21.2 to the nearest penny
Answer:
21.15
Step-by-step explanation:
22 × 10 = 220
100%+4%=104
104 ÷ 10 = 10.4
220 ÷ 10.4 =21.15384615
To the nearest penny it would be 21.15
Which is a correct name for the angle shown?
Answer:
CBA
Step-by-step explanation:
We can name the angle B
Or name the angle ABC
Or name the angle CBA
The vertex of the angle must be in the center
Answer:
The answer is CBA
Step-by-step explanation:
one x-intercept for a parabola is at the point (1,0). use the factor method to find the other x-intercept for the parabola defined by y=2x^2+2x-4
Answer:
(- 2, 0 )
Step-by-step explanation:
Given
y = 2x² + 2x - 4
To find the x- intercepts let y = 0, that is
2x² + 2x - 4 = 0 ( divide through by 2 )
x² + x - 2 = 0 ← in standard form
(x + 2)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 1 = 0 ⇒ x = 1
x- intercepts are x = - 2, x = 1, that is
(1, 0 ) and (- 2, 0 )
The other x- intercept is (- 2, 0 )
Trenton works for a company that is promoting its line of LED lightbulbs. He is selling boxes of the lightbulbs at a local store. A box of 60-watt bulbs costs $7.00, and a box of 100-watt bulbs costs $12.00. During the promotion, Trenton wants to sell more than 100 boxes total and make at least $1,000. The graph and the system of inequalities represent this situation, where x represents the number of boxes of 60-watt bulbs sold and y represents the number of boxes of 100-watt bulbs sold. 7x + 12y ≥ 1,000 x + y > 100 Which solution is valid within the context of the situation?
A. (90,25)
B. (40,64.50)
C. (30,80)
D. (200,-10)
Answer:
C) 30,80 PLATO
Step-by-step explanation:
This is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh) and if you didn't rule out all others with these two they also have to LOOk like they are in the solution set. Thats how i solve ALL of them and get them correct.
Hopefully i helped and corrected the wrong answer up there!
This question is based on system of linear equation.Therefore, the correct option is ( C ), (30,80) solution is valid within the context of the situation.
Given:
7x + 12y ≥ 1,000
x + y > 100
We need to determined the solution which is valid within the context of the situation.
According to question,
A. (90,25)
Put this value in given both equation.
We get,
7(90) + 12(25) ≥ 1,000630 + 300 [tex]\ngeqslant[/tex] 1000
⇒ 930 [tex]\ngeqslant[/tex] 1,000
x + y > 10090 + 25 > 100
⇒ 115 > 100
B. (40,64.50)
7(40) + 12(64.50) ≥ 1,000280 + 774 [tex]\geq[/tex] 1000
⇒ 1054 [tex]\geq[/tex] 1000
x + y > 10040 + 64.50 >100
⇒ 104.50 > 100
C. (30,80)
7(30) + 12(80) ≥ 1,000210 + 960 [tex]\geq[/tex] 1000
⇒ 1170 [tex]\geq[/tex] 1000
x + y > 10030 + 80 = 110 >100
D. (200,-10)
7(200) + 12(-10) ≥ 1,0001400 -120 [tex]\geq[/tex] 1000
⇒ 1280 [tex]\geq[/tex]1000
x + y > 100200 - 10 >100
⇒ 190>100
Therefore, the correct option is (C), (30,80) solution is valid within the context of the situation.because this is the only answer that goes into the solution set on the graph, and the rest can be ruled out because they have either a half (you can't have half a bulb lol) or negative (how you gone have negative bulbs smh).
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If you're reproducing a 4 cm x 4 cm picture on a 3 m x 3 m wall, what ratio should you use?
Answer:
So you can divide by 2 for the picture. 4/2 = 2
So you can get 2 x 2 picture. The ratio would be 1
if you have a variable it would always be
x by x.
If you want to cover whole wall multiply by 4/3 on the 4 x 4 picture
The original needs to be scaled up by a factor of 75.
Given that, reproducing a 4 cm × 4 cm picture on a 3 m × 3 m wall.
We need to find what ratio we should use.
What is the ratio?Ratio, in math, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
We know that 1 m=100cm, then 3 m=300 cm.
The picture on the wall is (300 cm)/(4 cm) = 75 times as large in each dimension as the original.
Therefore, the original needs to be scaled up by a factor of 75.
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What is the square root of 25?
Show your work
Answer:
5
Step-by-step explanation:
The square root of a number is basically that number multiplied by itself.
for example, the square root of 4 is 2 because 2 x 2 is 4
the square root of 25 is 5 because 5 x 5 = 25
Answer:
root 25 = 5
Step-by-step explanation:
because when we will do the prime factorisation then at your left side 5x5 will come aand at right side will come so, 5x5 = 25 .
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