Step-by-step explanation:
5x² + kx - 3 = 0 has a root x = 1.
=> 5(1)² + (1)k - 3 = 0
=> 5 + k - 3 = 0
=> k = -2.
Therefore we have 5x² - 2x - 3 = 0.
=> (x - 1)(5x + 3) = 0
=> x = 1 or x = -3/5.
Hence the other root is -3/5.
anyone know what 13+(x+8) is
**Round to the nearest tenth Level ll: John missed 14 points on an 80 point science test. What percentage did he get?
Answer:
82.5% = 66/80
What is 582.476 rounded to the nearest hundredth?
Answer:
582.48
Step-by-step explanation:
you just round up the 7 because the 6 tells it to
Answer:
582.48
Step-by-step explanation:
Find the number in the hundredth place 7 and look one place to the right for the rounding digit 6 . Round up if this number is greater than or equal to 5 and round down if it is less than 5 .
hey guys so i’m doing delta math and i literally don’t know so help me
Answer:
Slope= -2
Step-by-step explanation:
start at the point (1,1) go up 2 and to the left one. That's a negative slope
6(x-4)-x=6x+4 one solution, no solution or infinite solution
Answer:
no solution
Step-by-step explanation:
Given
6(x - 4) = 6x + 4 ← distribute left side
6x - 24 = 6x + 4 ( add 24 to both sides )
6x = 6x + 28 ( subtract 6x from both sides )
0 = 28 ← not possible
This indicates the equation has no solution
Write and equation of the line that passes through (-4, 2) and is parallel to the line y = 1/4x + 1
Answer:
y=1/4x +c
Step-by-step explanation:
2=-1+c
3=c
The equation of line passes through the point (-4, 2) will be;
⇒ y = 1/4x + 3
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (-4, 2).
And, The parallel line is,
⇒ y = 1/4x + 1
Now,
Since, The equation of line passes through the point (- 4, 2).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = 1/4x + 1
m = dy/dx = 1/4
m = 1/4
Thus, The equation of line with slope 1/4 is,
⇒ y - 2 = 1/4 (x - (-4))
⇒ y - 2 = 1/4 (x + 4)
⇒ y - 2 = 1/4x + 1
⇒ y = 1/4x + 1 + 2
⇒ y = 1/4x + 3
Therefore, The equation of line passes through the point (-4, 2) will be;
⇒ y = 1/4x + 3
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DUED BY MIDNIGHT TONIGHT BRO, someone please help me bro. Lol all you have to do is fill in the blanks
Answer:
3 is a right angle
Step-by-step explanation:
A bear eats 120 pounds of food each week. The zoo decreased the amount 105 pounds each week because the bear gained so ouch weight . What is the percent decrease ?
Answer:
12.5
Step-by-step explanation:
15/120 × 100 = 12.5
hope this helps
Answer:
87.5
Step-by-step explanation:
solve like this
120*x/100=105
12000*x=10500
x=10500/12000
x=87.5
%87.5 in decimal form is .875
What part of 648 does 24% represent?
Answer:
155.52 and the rounded version is 156
Step-by-step explanation:
Answer:
155.52 and the rounded version is 156
Write an equation in Slope-Intercept form that represents a line that passes through the
following points: (2, 4) and (5,-2). Show your work.
Answer:
y = - 2x + 8
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 )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 4) and (x₂, y₂ ) = (5, - 2)
m = [tex]\frac{-2-4}{5-2}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2, then
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, 4)
4 = - 4 + c ⇒ c = 4 + 4 = 8
y = - 2x + 8 ← equation of line
4/5 + 3/15 - 2/3 WILL MARK BRAINLIST
Answer:
1/3
Step-by-step explanation:
Answer: The answer is [tex]\frac{1}{3}.[/tex]
Step-by-step explanation:
Step #1. Using with the unlike denominators, we find The Least Common Denominator: [tex]LCD= 15.[/tex]
Step #2. We multiply the numerators and the denominators in order to get The LCD in all the fraction denominators that looks in the equation like this: [tex]\frac{4*3}{5*3}+\frac{3}{15}-\frac{2*5}{3*5}.[/tex]
Step #3. Then we've begun rewriting the equation with the equivalent fractions that look in the equation like this: [tex]\frac{12}{15}+\frac{3}{15}-\frac{10}{15}.[/tex]
Step #4. Using with the like denominators we could also operate just only the numerators that look in the equation like this: [tex]\frac{12+3-10}{15}=\frac{5}{15}.[/tex]
The last but not least is step #5: We finally simplifying the equivalent fraction answer by 5 that look in the equation like this: 5÷5/15÷5=[tex]\frac{1}{3}.[/tex]
I hope my answer is very helpful to your own fraction of the math question, please mark me as brainliest and have a great weekend! :D
Sincerely,
Jason Ta,
The Ambitious of The Brainly And The Role of The TDSB and WHCI Student of The High School.
The Lawn Order lawnmower factory can produce 10 lawnmowers in 7 hours. How many hours will it take to factory to produce 30 lawnmowers?
Answer: 21 hours
Step-by-step explanation:
The lawn order can produce 10 landmowers in 7 hours.
This means that their speed is:
= 10/7
= 10/7 landmowers per hour
If they want to produce 30 lawnmowers, the amount of time they will take is:
= 30 ÷ 10/7 per hour
= 21 hours
Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the youngest of them
Answer:
Call Brian's age: x, then Sushil's age is: x + 6 and Caroline's age is: x-5
So we have: x + (x + 6) + (x-5) = 64
=> 3x +1 = 64 => x = 63/3 = 21
the youngest of them: 21-5 = 16
Step-by-step explanation:
Cameron drives a semitruck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives. If Cameron drove 827.4 miles on his last route, how much money did he earn?
Answer:
372.33
Step-by-step explanation:
Cameron earns $0.45 for every mile he drives. He drove 827.4 miles on his last route. Multiply to find how much money he earned.
First, multiply a related set of whole numbers. Find 8,274×45. Now, count the number of decimal places in the factors. There is one decimal place in 827.4 and two decimal places in 0.45. The factors have three decimal places in all, so move the decimal point three places to the left in your answer.
372,330. → 372.330
Cameron earned $372.33 on his last route.
FORGIVE ME IF THIS IS WRONG
Cameron will earn $372.33 for driving 827.4 miles on his last route.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, Cameron drives a semi-truck for Haulin' Harry's Trucking Company. He earns $0.45 for every mile he drives.
∴ He will earn $(0.45×827.4) = $372.33 for driving 827.4 miles on his last route.
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A square placemat has a gold square in the center with a red border around the
square. The side length of the gold square is (x - 2) inches and the width of the
red border is 3 inches. What is the area of the red part of the placemat? The
area of a square is A = w x h. Show your work.
Answer:
x² - 4x - 5
Step-by-step explanation:
Recall:
Area of a square = s² ; where s = side length
Side length of gold square = (x - 2)
Width = Side length of red = 3 inches
Area of the red part :
Area of gold part - Area of red part
(x - 2)² - 3²
(x - 2)(x - 2)
x² - 2x - 2x + 4 - 9
x² - 4x + 4 -9
x² - 4x - 5
Hence, area of red part is : x² - 4x - 5
The width of the rectangle is 75% of its length. The length is 8 cm. What is the width of the rectangle?
Given :
The length of the rectangle, l = 8 cm/
The width of the rectangle, w = 75% of 8 cm
[tex]$= \frac{75}{100} \times 8$[/tex]
[tex]$=\frac{15}{20} \times 8$[/tex]
= 0.75 x 8
= 6
Therefore, the width of the rectangle is 6 cm.
help me plz I dont know this part.
Answer:
[tex](-4)^{10}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex] , then
(- 4)[tex](-4)^{9}[/tex]
= [tex](-4)^{1}[/tex] × [tex](-4)^{9}[/tex]
= [tex](-4)^{(1+9)}[/tex]
= [tex](-4)^{10}[/tex]
Can someone tell me how to find the Radius, Diameter, And Circumference Of a Circle?
radius is always half the length of its diameter. For example, if the diameter is 4 cm, the radius equals 4 cm ÷ 2 = 2 cm.
Diameter:2 times the radius is the circle's diameter.
Circumference:The formula is simply this: C = πd. In this equation, "C" represents the circumference of the circle, and "d" represents its diameter. That is to say, you can find the circumference of a circle just by multiplying the diameter by pi.the formula for circumference of a circle is 2 x pi x r(radius).
sas
10. If the surface area of a cube is 390 cm,
then which best describes the length of the
side of the cube?
3 in
in
A. less than 7 cm
B. between 7 cm and 8 cm
C. between 8 cm and 9 cm
D. greater than 9 cm
Answer:
The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm
Option C is correct.
Step-by-step explanation:
If the surface area of a cube is 390 cm, then which best describes the length of the side of the cube?
Surface area of cube = 390 cm
The formula used to find surface area of cube is: [tex]Surface area = 6a^2[/tex]
where a is the length of side of cube.
If length of side of cube = 7 cm, the surface area of cube = 294 cm
If length of side of cube = 8 cm, the surface area of cube = 384 cm
Now, if length of side of cube = 8.07 cm (found using calculator, by putting different values in the formula)
We get surface area of cube = 390 cm
So, The length of side of cube ranges between 8cm and 9cm as the given surface area is acquired when length of side of cube is 8.07 cm
Option C is correct.
Help Please !!!!! The Urban Agriculture class at Building 21 is growing vegetables. Carrots require 5
square feet of growing space, and turnips require 3 square feet of growing space.
The club has 300 square feet of planting beds. The students want to plant some of
each type of plant and have at least 45 plants.
Select all the equations or inequalities that could describe this situation. Letc
represent the number of carrots and / represent the number of turnips.
a b c is correct
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Hey, Deonyonna it's Ashton Anthony's brother we met before.
Examine the diagram.
2 lines intersect to form 4 angles. From the top left, clockwise, the angles are 1, 63 degrees, blank, blank.
The m∠1 is _____ the 63° angle.
What is the measure of angle 1?
_______ degrees
Answer:
the supplement of, 117 degrees.
Step-by-step explanation:
got it right endginuity 2021
Answer: The supplement of , 117 degrees
Step-by-step explanation: i hope this helps! :)
Katrina wants to build a fence around her square garden. Her garden has an area of 121 square feet. How much fencing will Katrina need? A. 13 feet B. 26 feet C. 39 feet D. 44 feet
Answer:
D. 44 feet
Step-by-step explanation:
If her garden is square, that means that to find out the length of one wall we find the square root of 121. The square root of 121 is 11. Then because the garden needs 4 walls of fencing, we multiply 11x4=44.
Answer:
D) 44 feet
Step-by-step explanation:
As, the area of any square = Side x side
So here let's take side as "s"
So s x s = 121 square feet
S^2 = 121
So, s = the square root of 121
So, s = 11 cm
So the length of one side of the garden = 11 cm
So all the side are equal in a square
So, to fence we need to find the perimeter
Perimeter of square = 4s
= 4 x 11
= 44 feet
Hope it helps
-4y-5>-6+7 with steps please
Answer:
[tex]y < - \frac{3}{2} [/tex]
Step-by-step explanation:
1. Simplify -6+7 to 1.
[tex] - 4y - 5 > 1[/tex]
2. Add 5 to both sides.
[tex] - 4y > 1 + 5[/tex]
3. Simplify 1+5 to 6.
[tex] - 4y > 6[/tex]
4. Divide both sides by -4.
[tex]y < - \frac{6}{4} [/tex]
5. Simplify 6/4 to 3/2.
[tex]y < - \frac{3}{2} [/tex]
Therefor, the Answer is,
[tex]y < - \frac{3}{2} [/tex]
Debbiehasalreadytaken2pagesofnotesonherown,andshewilltake1pageduringeachhourofclass.Inall,howmanyhourswillDebbiehavetospendinclassbeforeshewillhaveatotalof16pagesofnotesinhernotebook?
If you leave cold glass of lemonade sitting out on a table. what happens to it? Why?
Answer:
what most likely happen is water droplets will form on the outside of the glass, this is condensation.
Step-by-step explanation:
condensation means: Condensation is the process of water vapor turning back into liquid water, with the best example being those big, fluffy clouds floating over your head. And when the water droplets in clouds combine, they become heavy enough to form raindrops to rain down onto your head.
Hope this helps, have a good day.
:)
What would be the 2 inverse operations you would use to solve the inequality? 12t - 8 <= 25
Answer:
Addition and Multipilication.
Step-by-step explanation:
Have a Good Day!
Solve the proportion 2x-3/3=x/2
UGRENT
Answer:
X=6
Step-by-step explanation:
2x-3/3=X/2
or, (2x-3)×2= 3x ( cross multiplication )
or, 4x-6=3x
or,4x-3x=6
... 1x=6
hence ...... x=6
Donavon and three friends go to a fair. They each spend 1/2 of their money on rides. Then, they each spend $3 on food. At the end of the day, Donavon and his friends have a total of $8 remaining. How much money did each person bring to the fair?
You pay $21.60 for a 20 pound bag of dog food. What is the unit price for dog food?
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Step-by-step explanation: