Answer:
4.292
Step-by-step explanation:
(x+3)(x-1)=24
expand
x²+2x-3=24
x²+2x-27=0
Using the quadratic formula..
[tex]\frac{-2+\sqrt{2^2-4*1*-27}}{2}=\frac{-2+10.5830052443}{2}=4.292[/tex]
there is another answer, but it doesn't make sense in the context of this question
the un-rounded answer is 4.29150262215
what is the value of a if va- vh is equals to 1
Answer:
[tex] \displaystyle a = \frac{1+vh}{v}[/tex]
Step-by-step explanation:
we want to figure out a value of a for the following condition
[tex] \displaystyle va - vh = 1[/tex]
to do so factor out v;
[tex] \displaystyle v (a - h )= 1[/tex]
divide both sides by v which yields:
[tex] \displaystyle \frac{(a-h) \cancel{(v)}}{ \cancel{v}}= \frac{1}{v} [/tex]
therefore,
[tex] \displaystyle a-h = { \frac{1}{v}}[/tex]
now,add h to both sides:
[tex] \displaystyle a = \frac{1}{v}+h[/tex]
further simplification if necessary:
[tex] \displaystyle a =\boxed{ \frac{1+vh}{v}}[/tex]
factor out of v
[tex]\sf{v(a-h)=1 }[/tex]Dividing both sides by (v)
[tex]\sf{\dfrac{v(a-h)}{(v)}=\dfrac{1}{(v)} }[/tex]cancel out (v)
[tex]\sf{\dfrac{\cancel{v}(a-h)}{\cancel{(v)}}=\dfrac{1}{(v)} }[/tex][tex]\sf{ a-h=\dfrac{1}{v} }[/tex]
add h in both sides
[tex]\sf{a-h+h=\dfrac{1}{v}+h }[/tex]cancelout h
[tex]\sf{a-\cancel{h}+\cancel{h}=\dfrac{1}{v}+h }[/tex] [tex]\sf{a=\dfrac{1}{v}+h }[/tex] [tex]\boxed{\sf{a=\dfrac{1+vh}{v} } }[/tex][tex]\sf{ }[/tex] [tex]\sf{ }[/tex]
Therefore:-the value of a if va- vh is equals to 1 is [tex]\bold{\dfrac{1+vh}{v} }[/tex]
What is the slope-intercept equation of the line below?
O A. y = 2 x + 1
O B. y --4x+1
O C. y - 4x +1
O D. y--3x+1
Answer:
A.) y = 3/4x + 1
Step-by-step explanation:
First let's find the slope using the slope formula, (y₂-y₁)/(x₂-x₁). The two points given are (0,1)₁ and (4,4)₂. We have to substitute those values.
y₂ = 4, y₁ = 1, x₂ = 4, x₁ = 0 --> (4 - 1)/(4 - 0) = 3/4
The slope is 3/4.
Now, we have to find the y-intercept, which is where the line meets the y-axis. It touches the y-axis at (0,1). The y-intercept is 1.
Finally, we build our equation in slope-intercept form.
y = mx + b
y = 3/4x + 1
Four cans of cat food and 3 cans of dog food cost $1.99. Four cans of the same cat food and 1 can of the same dog food cost $1.33 hat is the cost of one can of cat food
Answer:
$0.25
Step-by-step explanation:
We can use System of Equations to find out how much a can of cat food costs.
Let's use variables to represent the cat food and dog food:
x = cost of 1 cat food can
y = cost of 1 dog food can
Here are our 2 equations based on the scenarios in the question:
4x + 3y = 1.99
4x + y = 1.33
Now let's set the second equation to y using basic algebra:
4x + y = 1.33
y = -4x+1.33
And we're going to plug that value of y, which is -4x+1.33 into the first equation and solve:
4x + 3y = 1.99
4x + 3(-4x+1.33) = 1.99
4x + -12x+3.99 = 1.99
-8x + 3.99 = 1.99
-8x = -2
x = 1/4
x = 0.25
1 can of cat food costs $0.25
Hope that helps (●'◡'●)
Answer:
.25
Step-by-step explanation:
set up equations
1)4c+3d=1.99
2)4c+d=1.33
Method of use:Elimination
4c+3d=1.99
- (4c+d)=-(1.33)
___________
=2d=.66
divide by two on both sides to get .33 for d.
plug in
4c+.33=1.33
subtract .33 on both sides
4c=1
divide by four on both sides to get c
c=1/4 or .25
NEED THIS ASAP :)
What is the length of the y-component of the vector plotted below?
A. 3
B. 4
C. 1
D. 2
Answer:
4
Step-by-step explanation:
Length of the y component is how far the vector reaches vertically, so in this case it's 4
What is the perimeter of this parallelogram? Please help asap!
elena sews a ribbon across the bottom of a scarf that is one yard long .she has sewed 3/8 yard of ribbon so far.how much more ribbon does she need to sew to finish the whole scarf?
[tex]Total \: length = 1 \: yard \\ Finished \: length = \frac{3}{8} \: yard \\ \\ so \: remaining \: length \\ = total \: length - finished \: length \\ = 1 \: yard - \frac{3}{8} \: yard \\ = \frac{8}{8} \: yard - \frac{3}{8} \: yard \\ = \frac{5}{8} yard[/tex]
This is the answer.
Hope it helps!!
help me out please
(geometry)
Answer:
x = 17
Step-by-step explanation:
The angles are same side interior angles and they will add to 180 when the lines are parallel
6x+8 + 4x+2 = 180
10x+10 = 180
Subtract 10 from each side
10x+10-10 =180-10
10x = 170
Divide by 10
10x/10 = 170/10
x = 17
Answer:
x = 17
Step-by-step explanation:
Theorem:
If two lines are cut by a transversal such that same-side interior angles are supplementary, then the lines are parallel.
For the lines to be parallel, the sum of 6x + 8 and 4x + 2 must equal 180.
6x + 8 + 4x + 2 = 180
10x + 10 = 180
10x = 170
x = 17
What is the slope of the line passing through the points
(-3, - 5) and (-1,6)? (URGENT)
Two towns A and B are 220km apart. A bus left town A at 11.00 AM and travelled towards town B at 60km/hr. At the same time, a van left town B for town A and travelled at 80km/hr. The van stopped for a total of 45 minutes on the way before meeting the bus. Calculate the distance covered by the bus before meeting the van. Please show clear working and explanation to get a brainlist !!!
Answer:
Sa / Va = time traveled by bus a
Sb / Vb + 3/4 = time traveled by van b
Sa / Va = Sb / Vb + 3/4 times traveled are the same
= (220 - Sa) / Vb + 3/4
Sa ( 1 / Va + 1 / Vb) = 220 / 80 + 3/4
Sa (140 / 4800) = 3.5
Sa = 120 km
Check: 120 km / 60 km/hr = 2 hr = Ta
Sb = 1.25 * 80 = 100 km traveling for 1.25 hrs
A t-shirt cost 5 times as much as a singlet. For $800,a trader can buy 32 more singlet than t-shirts. How much does a t-shirt cost
Answer: [tex]\$100[/tex]
Step-by-step explanation:
Given
T-shirt cost 5 times as much as a singlet
Suppose the price of a singlet [tex]x[/tex]
Price of a T-shirt is [tex]5x[/tex]
According to the question, for $800, trader can buy 32 more singlet than T-shirt
[tex]\Rightarrow \dfrac{800}{x}=\dfrac{800}{5x}+32\\\\\Rightarrow \dfrac{800}{x}-\dfrac{160}{x}=32\\\\\Rightarrow 800-160=32x\\\\\Rightarrow x=20[/tex]
Thus, the price of a T-shirt is [tex]5x=\$100[/tex]
Find the shaded area
Answer:
101 degrees
Step-by-step explanation:
the sum of all angles in a triangle is always 180 degrees.
the other not-shaded angle in the lower triangle is also 42 degrees.
the shaded angle is therefore
180 - 37 - 42 = 101 degrees
find the mean of the following 2x-5y,5x+2y,8x+6y,x-y
Answer: 4x + 0.5y
Step-by-step explanation:
Concept:
Here, we need to understand the idea of the mean (average).
The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers.
If you are still confused, please refer to the attachment below for a graphical explanation.
Solve:
**Disclaimer** I assume the question is asking for the arithmetic mean instead of geometric. If it was, then you can refer to my answers. If it was not, then you can point it out and I will redo the question.
Terms: 2x-5y, 5x+2y, 8x+6y, x-y
Number of terms: 4
[(2x-5y) + (5x+2y) + (8x+6y) + (x-y)] / 4
=[2x + 5x + 8x + x + 2y - 5y + 6y - y] / 4
=[16x + 2y] / 4
=4x + 0.5y
Hope this helps!! :)
Please let me know if you have any questions
Find the perimeter of the polygon.
Answer:
36 units
Step-by-step explanation:
this is a walk around problem
the sides of the triangle will be 10, 13, and 13
so the perimeter = 10 + 13 + 13
p = 36 units
Answer:
perimeter = 36
Step-by-step explanation:
Tangents drawn to a circle from an external point are congruent, then
perimeter = (5 + 5) + (8 + 8) + (5 + 5)
= 10 + 16 + 10
= 36
Multiple Choice Question Which of the following operations is true regarding relative frequency distributions? Multiple choice question. No two classes can have the same relative frequency. The sum of the relative frequencies must be less than 1. The sum of the relative frequencies is equal to the number of observations. The relative frequency is found by dividing the class frequencies by the total number of observations.
Answer:
The relative frequency is found by dividing the class frequencies by the total number of observations.
Step-by-step explanation:
A relative frequency distribution can be regarded as a distriburion that display the proportion of the total number of observations that is been associated with class of values or each of the value, and this relate to a probability distribution that is been used extensively in statistics. A relative frequency distribution gives the lists of the data values with percent of all observations that belongs to each group. The relative frequencies are been calculated through the division of the frequencies for each group using the total number of observations.
It should be noted that In a Relative frequency distributions, the relative frequency is found by dividing the class frequencies by the total number of observations.
What is the answer and the way of writing method for 4.15 × 3.85 Evaluate
Step-by-step explanation:
4.15 × 3.85
= (4 + 0.15) ( 4 - 0.15)
= (4)^2 - (0.15)^2
= 16 -- 0.0225
= 15.9775
HOPE IT HELPS
pls help w work!!
The equation P=2(L + W) is used to find the
perimeter, P, of a rectangle based on the length, L,
and Width, W. Which of the following correctly expresses the value of the width?
(a) P - 2L
(b) P - 2L / 2
(c) 2L - P / 2
(d) 1/2 (P-L)
Lets Do
[tex]\\ \sf\longmapsto p = 2(l + w) \\ \\ \sf\longmapsto l + w = \frac{p}{2} \\ \\ \sf\longmapsto w = \frac{p}{2} - l \\ \\ \sf\longmapsto \boxed{ \bf \: w = \frac{p - 2l}{2} }[/tex]
What is the explicit formula for this sequence?
-9, -3, 3, 9, 15,
Answer:
+6
Step-by-step explanation:Look at the trend of numbers and notice. Maybe put it in a table.
Tìm x, y sao cho: B=-x^2+2xy-4y^2+2x+10y-8
Answer:
Hello,
Step-by-step explanation:
All i can do is to show you the ellipse.
Please help!!!!!!!!!!!!!!
Answer:
7^-22
Step-by-step explanation:
Exponent laws.
calculate the distance between the point(5,6) and (7,8)
x²- 9x + 20=0 it´s finding solutions for x
Answer:
Step-by-step explanation:
Sum = -9
Product = 20
Factors = -5 , -4 {-4 * -5 = 20 & -5 + (-4) = -9}
x² - 9x + 20 = 0
x² - 5x - 4x + 20 = 0 Rewrite middle term
(x² - 5x) - 4x + 20 = 0 Group terms
x(x - 5) - 4(x - 5) = 0 Factor terms
(x-5)(x -4)=0
x -5 = 0 ; x - 4 = 0
x = 5 ; x = 4
Ans: x = 5 , 4
Given that a box has 3 blue marbles, 2 red marbles, and 4 yellow marbles, use the probability formulas to answer the following questions. Reduce all fractions. Use / as the fraction bar and do not use any spaces. What is the probability of... Drawing a blue marble?
P( Answer
)= Answer
Drawing a marble that is not red?
P( Answer
)= Answer
Drawing a red and yellow marble?
P( Answer
)= Answer
Drawing a red or blue marble.
P( Answer
)= Answer
Drawing a red marble, put it back, and then drawing a yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, keeping it, and then drawing another yellow marble?
P( Answer
)= Answer
Drawing a yellow marble, given that a red marble was drawn on the first draw and not replaced?
P( Answer
)= Answer
Answer:
drawing a blue marble is a harder then the yellow but not as hard as the red.
SOMONEEeeeee HELPP MEEE OUTTTT!!!
Answer:
simple 49+44=93 then you do 180 is the angle of a straight line so we do 180-93=87
On a Job application Doris gave her age as 32 years. Her actual age at the time was about 27. What is the relative error fo her age?
Answer:
Relative error = 0.19
Step-by-step explanation:
From the question given above, the following data were obtained:
Measured age = 32 years
Actual age = 27 years
Relative error =?
Next, we shall determine the absolute error. This can be obtained as follow:
Measured age = 32 years
Actual age = 27 years
Absolute error =?
Absolute error = | Measured – Actual |
Absolute error = | 32 – 27 |
Absolute error = 5 years
Finally, we shall determine the relative error. This can be obtained as follow:
Absolute error = 5 years
Actual age = 27 years
Relative error =?
Relative error = Absolute error / Actual years
Relative error = 5 / 27
Relative error = 0.19
Which expressions are equivalent.
PLEASE HELP ME !!! (photo given)
Answer:
[tex]\frac{2^{5} }{6^{5} } =2^{5} 6^{-6}[/tex]
[tex]=2^5\times (2^{-5} 3^{-5} )[/tex]
[tex]=2^{5-5} 3^{-5}[/tex]
[tex]=2^{0} 3^{-5}[/tex]
[tex]=3^{-5}[/tex]
[tex]OAmalOHopeO[/tex]
Answer:
B(3^-5) and D(2^5*6^-5)
Step-by-step explanation:
I put the expression in to the calculator and put the answers into the calculator and just picked the ones that matched
Multiply the polynomial vertically:
1/2x^2(12x^2 - 4x + 2)
Step-by-step explanation:
= 1/2x^2.12x^2 - 1/2x^2.4x + 1/2x^2.2
= 6x^4 - 2x^2 + x
Jada worked at the bakery for 14 hours last week he spent $12 of his earnings on a cake for his father‘s birthday as he was last with $86 after buying the cake what is Gianna‘s hourly wage
Answer:
$7 is his Hourly Wage.
Step-by-step explanation:
We can start by finding out how much money Jada started with by adding the amount of money he had after buying the cake with how much he spent on the cake, 86 + 12 = 98.
We now know how much money he had before buying anything. Now we can just divide the total amount of money by how long he worked.
98 ÷ 14 = 7
Write an equation for a parabola with endpoints of the latus rectum at (-2, 3) and (-2, 15) and the directrix at x = 4.
Given:
The endpoints of the latus rectum at (-2, 3) and (-2, 15).
The directrix at x = 4.
To find:
The equation of the parabola.
Solution:
The equation of the parabola is:
[tex](y-k)^2=4p(x-h)[/tex] ...(1)
Where, [tex]x=h-p[/tex] is directrix and [tex](h+p,k\pm |2p|),p<0[/tex] are the end point of the latus rectum.
The directrix at x = 4. So,
[tex]h-p=4[/tex] ...(i)
The endpoints of the latus rectum at (-2, 3) and (-2, 15). So,
[tex](h+p,k-|2p|)=(-2,3)[/tex]
[tex](h+p,k+|2p|)=(-2,15)[/tex]
Now,
[tex]h+p=-2[/tex] ...(ii)
[tex]k-2p=3[/tex] ...(iii)
[tex]k+2p=15[/tex] ...(iv)
Adding (i) and (ii), we get
[tex]2h=2[/tex]
[tex]h=1[/tex]
Putting [tex]h=1[/tex] in (i), we get
[tex]1-p=4[/tex]
[tex]-p=4-1[/tex]
[tex]-p=3[/tex]
[tex]p=-3[/tex]
Putting [tex]p=-3[/tex] in (iii), we get
[tex]k-|2(-3)|=3[/tex]
[tex]k-6=3[/tex]
[tex]k=3+6[/tex]
[tex]k=9[/tex]
Putting [tex]h=1,p=-3,k=9[/tex] in (1), we get
[tex](y-(9))^2=4(-3)(x-1)[/tex]
[tex](y-9)^2=-12(x-1)[/tex]
Therefore, the required equation of the parabola is [tex](y-9)^2=-12(x-1)[/tex].
In order for the parallelogram to be a rhombus, x=?
Answer:
Step-by-step explanation:
The diagonal must be an angle bisector for a rhombus.
That means that both bisected angles are equal.
2x + 16 = 5x - 8 Add 8 to both sides
2x + 16 + 8 = 5x
2x + 24 = 5x Subtract 2x from both sides
24 = 5x - 2x
24 = 3x Divide by 3
24/3 = x
x = 8
Find the equation of the line which is perpendicular to the line.
(a) with equcation y=5x-4 and passes through (0,7)
Answer:
[tex]y = - \frac{1}{5} x + 7[/tex]
Step-by-step explanation:
Slope -intercept form:
y= mx +c, where m is the slope and c is the y- intercept.
Since the given equation is already in the slope-intercept form, we can identify its slope by looking at the coefficient of x.
Slope of given line= 5
The product of the gradients of two perpendicular lines is -1.
m(5)= -1
[tex]m = - \frac{1}{5} [/tex]
Substitute the value of m into the equation:
[tex]y = - \frac{1}{5} x + c[/tex]
Substitute a pair of coordinates to find the value of c.
when x= 0, y= 7,
[tex]7 = - \frac{1}{5} (0) + c[/tex]
c= 7
Thus, the equation of the line is y= -⅕x +7.
