Answer:
[tex]\frac{2}{7} x[/tex]
Step-by-step explanation:
To find the slope of a line with 2 points we use the following formula.
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So with the following points,
E(-4,4)
D(10,8)
So 8 is y2 and 4 is y1 8-4 = 4
10 - -4 = 14
Slope: 2/7x
Thus,
the slope of the line is 2/7x.
Hope this helps :)
Write an equation of the line that passes through the point (-7, -9) with slope -4
A. Y+7= 4(x +9)
B.y+9= 4(x + 7)
c. y +9= - 4(x + 7)
D. Y+7= - 4(x +9)
Answer:
y + 9 = - 4 ( x + 7 )
Option C is the correct option
Step-by-step explanation:
Given
Point = ( -7 , - 9 )
Slope = - 4
Equation of line ( Point slope form )
[tex]y - y1 = m(x - x1)[/tex]
when point = ( -7 , - 9 )
[tex]y + 9 = - 4(x + 7)[/tex]Hope I helped...
Best regards!!
The equation of the line is 4x + y = -37 then option C is correct.
What is an equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given point is ( -7, - 9 ) and the slope is - 4.
The equation of the line is calculated by,
y - y₁ = m ( x - x₁ )
y - 9 = -4 ( x + 7 )
y = -4x -28 - 9
y = -4x -37
4x + y = -37
Therefore, the equation of the line is 4x + y = -37 then option C is correct.
To know more about equations follow
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I really need help with this
Answer:
Our system of equations is:
y+2x+1=04y-4x²-12x = -7We are looking for x
Let's express y using x
y+2x+1=0y= -2x-1Replace x in the second equation with the result
4y-4x²-12x = -74(-2x-1)-4x²-12x = -7 -8x-4-4x²-12x = -7 -8x-4x²-12x = -7+4-4x²-20x = -3-4x²-20x+3 = 0 multiply by -1 to get rid of the - signs with x4x²+20x-3=04x²+20x+3=0 is a quadratic equation
Let Δ be our discriminant
a= 4b= 20c= -3Δ= 20²-4*4*(-3)
Δ=448 > 0 so we have two solutions for x
let x and x' be the solutions
x = [tex]\frac{-20-\sqrt{448} }{8}[/tex]= -5.145 ≈ -5.15x'= [tex]\frac{-20+\sqrt{448} }{8}[/tex]= 0.145≈ 0.15so the solutions are:
-5.15 and 0.15
find the coordinates of the point first whose abscissa is -5 and ordinate is 4
Answer:
The coordinate of the point is (-5, 4)
Step-by-step explanation:
In a regular two dimensional graph, the abscissa is the horizontal or x - axis while the y-axis which is the vertical axis is referred to as the ordinate
Abscissa and ordinate are used in mathematics to indicate the coordinate of a point in a two dimensional coordinate system, where the abscissa and ordinate are placed in between a parenthesis, with the abscissa being on the left and the ordinate on the right separated by a comma.
Find the least number which must be subtracted from the following numbers to make it a perfect square i) 2361 ii) 26535 iii)16160 iv) 4401624
if a/b and c/d are rational expressions, then a/b divided by c/d=a•d/b•c
The expression a/b ÷ c/d = ad/bc is A. true.
To show that if a/b and c/d are rational expressions, then a/b ÷ c/d = ad/bc
Rational ExpressionsRational expressions are expressions of the form a/b where a and b are integers and b ≠ 0
If the rational expression a/b is to be divided by c/d, we take the reciprocal of the expression on the right side of the division sign.
So, L.H.S = a/b ÷ c/d
= a/b × 1/(c/d)
= a/b × d/c
= ad/bc
= R.H.S
Since L.H.S = R.H.S.
a/b ÷ c/d = ad/bc
So, the expression a/b ÷ c/d = ad/bc is A. true.
Learn more about rational expressions here:
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Apply the distributive property to factor out the greatest common factor.
{25p + 50q} =25p+50q=25, p, plus, 50, q, equals
Answer:
25p + 50q = 25(p + 2q)Step-by-step explanation:
25p = (25)(p)
50q = (25)(2q)
therefore
25p + 50q = (25)(p) + (25)(2q) = (25)(p + 2q)
Answer:
p + 2q = 1
Step-by-step explanation:
25(p + 2q) = 25
p + 2q = 1
This is a Muti-Question From 3 different Questions ____________________________________________________________________Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch? Bonnie spent $_____ on lunch. __________________________________________________________________ Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market. __________________________________________________________________ elect the correct answer. A basketball team played 15 games and won 80% of them. If the team expects to play 30 games in all, how many more games must it win to finish the season with a 90% winning percentage? A. 12 B. 14 C. 15 D. 27 Please Help me with these 3 Questions!
Answer:
23.75
Step-by-step explanation:
IM GANNA HELP FOR THE SECOND ONE CUZ THE FIRST QUESTION DOESNT HAVE SOME VALUES AND THE THIRD IS KINDA HARD
BUT I HOPE I HELPED
the question:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. At the farmers market, Nathaniel buys two dozen oranges at $3.50 per dozen, four kilograms of apples at $3.25 per kilogram, two kilograms of carrots at $1.90 per kilogram, and one kilogram of potatoes for $1.20. He received a 5% discount off his total bill. How much money did Nathaniel spend on fruits and vegetables at the farmers market? Nathaniel spent $______ at the farmers market.
nathaniel got 2 dozen so 7$ for the oranges
4 kg so 13$ for apples
2 kg so 3.8$ for carrots
1 kg so 1.2$ for potatoes
LETS ADD IT TOGETHER
25$ TOTAL
DISCOUNT=5%
5% OF 25 IS 1.25
SO 25-1.25=23.75
SO NATHANIEL SPENT 23.75$ IN ALL
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
JUST A RANDOM GIRL WANTING TO HELP PEOPLE!
PEACE!
1/6.43 +2/3.56 +1/8.51 use reciprocal table.Correct answer only
Answer:
0.8348Step-by-step explanation:
Given the expression 1/6.43 +2/3.56 +1/8.51, If 'a' is a number, the reciprocal of such number is 1/a. According to the question, the reciprocal of 6.43, 3.56 and 8.51 are 1/6.43 and 1/3.56 and 1/8.51 respectively.
1/6.43 = 0.1555
2/3.56 = 2 * 1/3.56
= 2 * 0.2809
= 0.5618
1/8.51 = 0.1175
Taking the sum of the reciprocals;
1/6.43 +2/3.56 +1/8.51 = 0.1555 + 0.5618 + 0.1175
1/6.43 +2/3.56 +1/8.51 = 0.8348
Hence, the sum of 1/6.43, 2/3.56 and 1/8.51 is 0.8348
The bottom cup in a 73 cm tall stack of nested identical cups is 10 cm tall. If each additional cup adds 1.5 cm to the height of the stack, how many total cups are in the stack?
Answer:
43 cups
Step-by-step explanation:
Subtract the height of the one cup from the stack
73 - 10
63
The rest of the cup each add 1.5 cm to the stack
take the remaining height and divide by 1.5 for each cup
63 cm/ 1.5 cm per cup
42 cup
There are 42 cups in the remaining part of the stack
Plus the 1 cup that is 10 cm
42+1 = 43 cups total in the stack
Answer:
[tex]\boxed{\sf 43 \ cups}[/tex]
Step-by-step explanation:
The stack is 73 cm tall, one cup is 10 cm.
Let’s subtract the height of the one cup from the height of the stack.
[tex]\sf 73 - 10\\=63[/tex]
The cups left each add 1.5 cm.
Let x be the cups left.
[tex]\sf 1.5x=63\\x=\frac{63}{1.5} \\x=42[/tex]
Add the 1 to the cups left, because that first cup was subtracted from the height of the stack.
[tex]\sf 42+1\\=43[/tex]
Which of the following is a correct statement?
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
B. An advantage of a systematic sample is that no list of enumerated data items is required.
C. Convenience sampling is used to study shoppers in convenience stores.
D. Judgment sampling is an example of true random sampling
Answer:
A. Choosing the third person listed on every fifth page of the phone book is stratified sampling.
Step-by-step explanation:
Stratified sampling involves grouping the population into subgroups before sampling. It provides a more manageable and cheaper means of sampling data by placing the population into grouped strata. The only problem is that this sampling method cannot be used in a data population that cannot be stratified. In this question, the phone book is stratified into subgroups of every five pages, and the third person listed is chosen to represent the subgroup
SB
Compare the process of solving
|x - 11 +1 < 15 to that of solving
|x - 11 +1 > 15.
DONE
Answer:
x = 0
Step-by-step explanation:
i) x - 11 + 1 < 15
x - 10 < 15
x < 10 + 15
x < 25
ii) x - 11 + 1 > 15
x - 10 > 15
x > 25
Therefore to compare (i) and (ii)
25 < x < 25
In any case, x = 0
The graph shows the growth of a tree with
representing the number of years since it was allanted
and y representing the trees het mees Use the
graph to analyze the trees growth. Sellest alltaf sly
The tree was 40 metes taill when planted
The tree's growth rate is 10 mees per year
The tree was 2 years old when planted
As it ages, the trees growth rate shows
Ten years after planting, is 14 inches tall
Answer:
The tree was 40 inches tall when planted
The tree's growth rate is 10 inches per year
Ten years after planting, is 140 inches tall
Step-by-step explanation:
From the graph attached, the height of the tree is plotted on the y axis and the year is on the x axis. The line passes through (2, 60) and (5, 90). The equation of a line passing through two point is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
Therefore the equation of the line passing through (2, 60) and (5, 90) is:
[tex]y-60=\frac{90-60}{5-2}(x-2) \\y-60=\frac{30}{3} (x-2)\\y-60=10(x-2)\\y-60=10x-20\\y=10x-20+60\\y=10x+40[/tex]
The equation of a line in standard form is y = mx + c where c is the intercept on y axis and m is the slope. Since y = 10x + 40, m = 10 and c = 40.
The y intercept is 40 inches, this means the height of the tree at 0 years was 40 inches tall when planted, therefore The tree was 40 inches tall when planted is correct.
The slope of the line is 10, this means the tree grow at a rate of 10 inches per year. Therefore The tree's growth rate is 10 inches per year is correct.
The tree was 2 years old when planted is not correct
The slope of a linear function is constant, therefore the growth rate is constant. As it ages, the trees growth rate slows is not correct
The height of the tree at 10 years can be gotten by substituting x = 10 in y = 10x + 40. y = 10(10) + 40 = 100 + 40 = 140 inches. Therefore Ten years after planting, it is 140 inches tall. is correct
A group of students volunteered to finish a task in 25 days .1 Q of students did not come n the work could b completed in 35 days .find original number of students in group were??
Answer:
p=7Q/2
Step-by-step explanation:
Original number of students:
p students to do 1 job in 25 days.
Let r= the rate for 1 student.
pr*25=1
pr*25=1 is the work rate equation for p students.
Lesser number of students:
p-Q students came to do the job and time required was 35 days.
(P-Q)*r*35=1.
The unknowns are p, Q and r
Equate the original number of students and the lesser number of students
pr*25=(P-Q)*r*35
25rp=35rp - 35Qr
Collect like terms
25rp-35rp = -35Qr
Divide both sides by -5
-5rp+7rp=- 7rp
It can be re written as
7rp-5rp=-7Qr
2rp=7Qr
Make p the subject of the formula
p=7Qr/2r
p=7Q/2
p=7Q/2 is the original number of students
-10rp = -35Qr
The system of these two equations can be solved for p. See the THREE unknown
variables, p, r, and Q. You might assume that either r or Q would be a constant.
A jar of jam contains 55% fruit.How much fruit would I need for ten 454g jars of jam?
Answer: 10x454x0.55=2,497 grams of fruit
With steps... Thanks..
Answer:
[tex]\boxed{-25x-y}[/tex]
[tex]\boxed{-p^2q +5pq^2}[/tex]
Step-by-step explanation:
[tex](-15x+6y)-(10x+7y)[/tex]
Distribute negative sign.
[tex]-15x+6y-10x-7x[/tex]
Combine like terms.
[tex]\boxed{-25x-y}[/tex]
[tex]2pq(p+q)- (3pq(p-q))[/tex]
Expand brackets.
[tex]2p^2 q+2pq^2 -(3p^2q-3pq^2)[/tex]
Distribute negative sign.
[tex]-3p^2q+3pq^2+2p^2q+2pq^2[/tex]
Combine like terms.
[tex]\boxed{-p^2q +5pq^2}[/tex]
Answer:
a. -25x - yb. pq ( - p + 5q )Step-by-step explanation:
a.
[tex] - 15x + 6y - (10x + 7y)[/tex]
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
[tex] - 15x + 6y - 10x - 7y[/tex]
Collect like terms
[tex] - 15x - 10x + 6y - 7y[/tex]
[tex] - 25x - y[/tex]
b.
[tex]2pq(p + q) - 3pq(p - q)[/tex]
Factor out pq from the expression
[tex]pq(2(p + q) - 3(p - q))[/tex]
Distribute 2 through the parentheses
[tex]pq \: (2p + 2q - 3(p - q)[/tex]
Distribute -3 through the parentheses
[tex]pq \: (2p + 2q - 3p + 3q)[/tex]
Collect like terms
[tex]pq( - p + 5q)[/tex]
Hope this helps...
Best regards!!
An online seed supplier packages a seed mix that costs the company $20.70 per pound. The mix includes poppy seeds costing $24.00 per pound and clover seeds costing $13.00 per pound. If a worker is going to prepare some of this mix and has already measured out 26 pounds of poppy seeds, what quantity of clover seeds should he add?
Answer:
The quantity of clover seeds the worker will add is 11.14 pounds
Step-by-step explanation:
Let
x=Poppy seed
y=clover seed
24x+13y=20.70(x+y)
x=26 pounds
Substitute x=26 pounds into the equation
24x+13y=20.70(x+y)
24(26)+13y=20.70(26+y)
624+13y=538.2 +20.70y
Collect like terms
624-538.2=20.70y-13y
85.8=7.7y
Divide both sides by 7.7
y=85.8/7.7
=11.14 pounds
Therefore, the quantity of clover seeds the worker will add is 11.14 pounds
Answer:
A 11.14
Step-by-step explanation:
To solve this, add the total cost of the poppy seed ($24 × 26) to the cost of the clover seeds ($13x), then divide both by the total number of pounds the finished mixture will weigh.
Lines e and f are parallel. The mAngle9 = 80° and mAngle5 = 55°.
Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Where lines e and c intersect, the angles are: 1, 2, 4, 3. Where lines f and c intersect, the angles are 5, 6, 8, 7. Where lines e and d intersect, the angles are 9, 10, 12, 11. Where lines f and d intersect, the angles are 13, 14, 16, 15.
Which angle measures are correct? Select three options.
Answer:
Fist if all u will draw ur Parallel lines e and f are cut by transversal c and d. All angles are described clockwise, from uppercase left. Secondly u will draw ur Parallel lines or angle.
Answer:
a c e
Step-by-step explanation:
simplify √16n/m^3 1. 4√mn/n^2 2. 4√mn/m 3. √mn/4m 4. 4√mn/m^2
Answer:
4√mn/m^2
Step-by-step explanation:
√16n/m^3
= √16n/√m^3
= √4x4xn/√mxmxm
= 4√n/m√m
Rationalize by multiplying the numerator and the denominator by the denominator, which is a surd:
= (4√n x √m)/(m√m x √m)
= 4√mxn/m√mxm
= 4√mn/mxm
= 4√mn/m^2
y=tan(x-30) period and amplitude
Answer:
No amplitude
Period is pi
Step-by-step explanation:
if you horizontally strech the quadratic parent function, f(x)=x^2, by a factor of 4, what is the equation of the new function?
Answer:
g(x) = x^2/16
Step-by-step explanation:
To stretch a function horizontally by a factor of k, replace x with x/k.
You want a stretch factor of 4, so your function is ...
g(x) = f(x/4) = (x/4)^2
g(x) = x^2/16
__
The attached graph shows the horizontal stretch.
What is the simplified form of the following expression?
[tex]2 (\sqrt[4]{16x}) - 2 (\sqrt[4]{2y} ) + 3 (\sqrt[4]{81x} ) - 4 (\sqrt[4]{32y} )[/tex]
We have
[tex]16=2^4\implies\sqrt[4]{16}=2[/tex]
[tex]81=3^4\implies\sqrt[4]{81}=3[/tex]
[tex]32=2^5\implies\sqrt[4]{32}=2\sqrt[4]{2}[/tex]
So
[tex]2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}[/tex]
is equivalent to
[tex]2^2\sqrt[4]{x}-2\sqrt[4]{2y}+3^2\sqrt[4]{x}-8\sqrt[4]{2y}[/tex]
which reduces to
[tex]13\sqrt[4]{x}-10\sqrt[4]{2y}[/tex]
Please answer this in two minutes
what is the value of 24% of 800?
Question of mathematics
Answer:
[tex] \huge \boxed{192}[/tex]Step-by-step explanation:
[tex]24\% \: of \: 800[/tex]
By definition of p% = p/100
[tex] = \frac{24}{100} \times 800[/tex]
Reduce the numbers with Greatest Common Factor 100
[tex] = 24 \times 8[/tex]
Multiply the numbers
[tex] = 192[/tex]
Hope I helped!
Best regards!!
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 50 feet cubed. A cylinder with height h and radius r. A cylinder with height h and radius r. What is the volume of the sphere?
Answer:
Volume of the sphere is 66.67r/h
Step-by-step explanation:
Hello,
Volume of a sphere = ⁴/₃πr³
Volume of a cylinder = πr²h
The volume of the cylinder = 50ft³
But the cylinder and sphere both have the same radius and height
Volume of a cylinder = πr²h
50 = πr²h
Make r² the subject of formula
r² = 50/πh
Volume of a sphere = ⁴/₃πr³
Put r² into the volume of a sphere
Volume of a sphere = ⁴/₃π(50/πh)r
Volume of a sphere = ⁴/₃ × 50r/h
Volume of a sphere = ²⁰⁰/₃ r/h
Volume of a sphere = 66.67r/h
The volume of the sphere is 66.67r/h
from the figure below identify a)Obtuse vertically opposite angles b) A pair of adjacent complementary angles c) a pair of equal supplementary angles d) a pair of unequal supplementary angles e) a pair of adjacent angles that don’t form a linear pair
Answer:
a) BOC and AOD
b) BOA and AOE
c) BOE and EOD
d) BOA and AOD
e) AOE and EOD
Step-by-step explanation:
An obtuse angle is an angle that has more than 90° and vertically opposite angles are angle formed by two lines crossed. So, Obtuse vertically opposite angles are BOC and AOD
Adjacent angles are angles in which one angle is beside the other and complementary angles are angles whose sum is equal to 90°, so, a pair of adjacent complementary angles are BOA and AOE.
Supplementary angles are angles whose sum is equal to 180°, so BOE and EOD are equal suplementary angles and BOA and AOD are unequal supplementary angles
Finally, AOE and EOD are adjacent angles that don’t form a linear pair.
Plz help asap 10x^2+11x+3
Answer:(2x+1)(5x+3)
Step-by-step explanation:
The net profit in dollars per day for a small business owner is given by the equation f(x) = -0.1x^2 + 6 x + 4, where x is the number of employees he hires. If he hires the number of employees that will maximize his profit, what will his profit be in dollars per day? (Enter an exact number.) dollars per day
Answer:
[tex]\large \boxed{\sf \ \ \text{The maximum profit is \$94 per day.} \ \ }[/tex]
Step-by-step explanation:
Hello,
The coefficient in [tex]x^2[/tex] is negative.
So, there is a maximum at the vertex point which is
[tex]x=-\dfrac{b}{2a}==\dfrac{-6}{-0.2}=\dfrac{6}{0.2}=30[/tex]
And then the maximum is f(30)=
[tex]-0.1\cdot 30^2+6\cdot 30 +4=-90 +180+4=94[/tex]
So the maximum profit is 94 $ per day.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Which relation is a function?
The relation { (3,4), (-3, 8), (6,8) } is a function.
====================================================
Explanation:
Choice A can be ruled out because we have x = -3 repeat itself for different y values. For any x input, there must be exactly one y output. This is assuming the x value is in the domain of course.
Choice C can be ruled out for similar reasoning. This time x = 3 repeats.
Choice D is the same story, but we go back to x = -3 showing up twice.
Choice B is the only thing left. Each x value is unique or only written one time. This graph passes the vertical line test. The other graphs fail the vertical line test (it is possible to draw a vertical line through more than one point).
Rosa earns $12 per hour. In 7.5 hours, she will earn x dollars. Which is a valid proportion that can be used to solve the problem? StartFraction x over 12 EndFraction = StartFraction 1 over 7.5 EndFraction StartFraction 1 over 12 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction x over 7.5 EndFraction StartFraction 12 over 1 EndFraction = StartFraction 7.5 over x EndFraction
Answer:
StartFraction x over 7.5 EndFraction = StartFraction 12 over 1 EndFraction
Step-by-step explanation:
Here, in this question, given that Rosa earns $12 in an hour, she earns x dollars in 7.5 hours. So we are interested in finding the value of x.
Let’s write this in terms of proportion;
$12 = 1 hour
$x = 7.5 hours
$12 * 7.5 hours = $x * 1 hour
So this can be rewritten as;
$x/7.5 = $12/1 hour
Answer: Start Fraction x over 7.5 End Fraction Start Fraction 12 over 1
explanation:
What percent of 24 is 18? 60 is what percent of 48? Write 1.052 as a percent.
Answer:
24 of 18 is 75%
60 of 48 is 80%
1.052 is 105.2%
Step-by-step explanation:
