The numbers that the product is 26 and one of the numbers is one larger than six times the other number are 2 and 13.
How to form equation and solve for the variable?The product of two numbers is 26.
let the two numbers be x and y.
Therefore,
xy = 26
One of the numbers is one larger than six times the other number. Therefore,
x = 1 + 6y
Hence,
xy = 26
(1 + 6y)y = 26
y + 6y² = 26
6y² + y - 26 = 0
using quadratic formula,
[tex]\frac{-b + \sqrt{b^{2} -4ac } }{2a}[/tex]
where
a = 6
b = 1
c = - 26
Therefore,
y = 2 or - 13 / 6
We can only use the positive value.
Hence,
2x = 26
x = 26 / 2
x = 13
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Use the information to find and compare Δy and dy. (Round your answers to three decimal places. )
y = 0. 8x5 x = 1 Δx = dx = 0. 1
Δy = dy =
The computation shows that the values of Δy and dy will be 0.572 and 0.4 respectively.
How to compute the values?The value of Δy will be computed thus:
Δy = y(x + Δx) - y(x)
= y(1.1) - y(1)
= 0.5(1.1)⁸ - 0.5(1)⁸
= 0.572
The value of dy will be:
= y'(x)dx
= (0.5)⁸ × x⁷(0.1)
= 0.4 (1)⁷
= 0.4
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Find the domain and range of the graph below.
Answer:
8
Step-by-step explanation:
the answer is 8 because the answer is 8
Isaiah buys a hat that normally costs $17.There is a sale for 15% off. How much
does he pay for the hat?
+
Answer:
$14.45
Step-by-step explanation:
15% of 17 is 2.55. 17 - 2.55 is 14.45
b.Mogan is playing mini goll. She has a mean of 7 shots after 3 holes. If after 4 holes, she has a mean
6 shots, how many times did she shoot on the 4th hole?
Answer:
45
Step-by-step explanation:
7x3=21
6x4=24
21+24=45
What is the minimum number of classes a customer can take for Rebekah to meet her goal?
Answer:
6
Step-by-step explanation:
I need help asap!!!!!!
Answer:
The Answer is C: [tex]y > x, y < 4[/tex]
Step-by-step explanation:
By looking at the graph the shaded area is the inequalities that you need to find.
[tex]y=4[/tex] is the lines on the y-axis. Below the y-axis is shaded [tex]y < 4[/tex].
From the [tex]y=x[/tex] is a linear line. Above the linear line is [tex]y > x[/tex]
A company logo is made up of a square and two identical triangles, as shown in this image.
What is the area of the logo?
Enter your answer in the box.
cm2
Square with side length of 9 cm. The top and bottom sides of the square form the base of a triangle with a height of 6 cm.
The area of the company's logo is 135 square cm
Area of composite figureComposite figures are figures that are made up of two or more shapes
The area of the given logo = Area of square + Area of 2 triangles
A = l² + bh
A = 9² + (9)(6)
A = 81 + 54
A = 135 square cm
Hence the area of the company's logo is 135 square cm
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Find each lettered angle measure A through H
(20 points)
The angles of the triangle can be found using angle on a straight line theorem, isosceles triangle theorem, sum of angles in a triangle, sum of angles in a quadrilateral, vertical angle theorem etc.
Angles in a triangleThe sum of angles in a triangle is equals to 180 degrees. Therefore, let's find the angles in the triangle
2a = 180 - 58(base angles of isosceles triangle)
a = 122 / 2
a = 61°
b = 180 - (180 - 90 - 40) = 130° (angle on a striaght line)
c = 130° (Known angles)
d = 180 - 33 - 88 = 59°(sum of angles in a triangle)
e = 180 - 69 = 111° (external triangle theroem)
f = 86° (vertically opposite angles)
g = 83° (vertically opposite angles)
h = 180 - 36 = 144° (sum of angles on a straight line)
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HELP ME i think i get the idea but i need further evaluation.
x = 4.28
Step-by-step explanation:[tex]Given,\ To\ find\ for\ x,[/tex]
[tex]Let\ c\ be\ the\ centre\ of[/tex]
[tex]Circle,\ where[/tex][tex]AD=22.4\ (Diameter)[/tex]
[tex]AC=\frac{22.4}{2}=11.2\ (radius)[/tex]
[tex]AB=8.8[/tex]
[tex]In\ \Delta\ ABC, Right\ angled\ at[/tex]
[tex]B.\ USing Pythagoras\ theovem[/tex]
[tex](AB)^2+(BC)^2=(AC)^2[/tex]
[tex](8.8)^2+(BC)^2=(11,2)^2[/tex]
[tex](BC)^2=125.44-77.44=48[/tex]
[tex]BC=\sqrt{48}=6.92[/tex]
[tex]E_c=x+y\ \ \ \ \(Where\ Fc\ is\ also\ radius\ of\ arcle[/tex]
[tex]\therefore\ \ \ \ \11.2=x+6.92[/tex]
[tex]x=11.2-6.92=4.28[/tex]
[tex]Hence,\ x=4.28\ is\ the\ answer.[/tex]
I hope this helps you
:)
Find the volume of the cone in terms of pi.
A) 324π cm^3
B) 405π cm^3
C) 72π cm^3
Answer:
A. 324π cm^3
Step-by-step explanation:
I took the test and go it right.
Answer:
A. 324π cm^3
Step-by-step explanation:
took test
Select the correct
function
that represents
this data.
Answer:
f(x) = -5x - 2
Step-by-step explanation:
Plug in the first set of values into each possible equation. Whichever equation yields the correct ouputs (y-values) for ALL input (x-values) is the correct answer. For the function f(x) = -5x - 2, f(-2) = 8, f(-1) = 3 and so on... So f(x) = -5x - 2 is the correct answer!
Hope this helps!
The original price of a shirt is $16. 0. The price of the shirt is discounted by 20%, then a 4% sales tax is added. What is the
final price of the shirt after the discount is taken off and the sales tax is added?
NO LINKS!!!!
Answer: 13.312
Step-by-step explanation:
16 x 0.20 = 12.80
4% = 0.512
12.8 + 0.512 = 13.312
The Price of the shirt is now $13.312 .
Hope this helps answering your question !
In one particular suburb, there are 18 families that own a pug. If there are a total of 24 families that own a dog in general, then what percentage of dog owners have a pug? Round your answer to the nearest whole number if necessary.
Answer:
75% of people own a dog.
Step-by-step explanation:
We apply the percentage formula in this problem
Total People * X/100 = Groups of people
Fill in the values
24 * X/100 = 18
We now Simplify the equation.
After simplifying you should get X=75, meaning 75% of people own a dog.
What’s The Answer Of This? PLEASE HELP
Answer:
80.
Step-by-step explanation:
Angles of a triangle add up to 180. 180-80-20 is 80.
if school starts at 8:15 am and ends at 3:31 pm when how long is the school day
Answer:
7hours and 16 minutes
Step-by-step explanation:
8:15-9:15 is one hour. 9:15-10:15 is two hours. 10:15-11:15 is three hours.11:15-12:15 is four hours. 12:15-1:15 is five hours. 1:15-2:15 is six hours. 2:15-3:15 is seven hours. 3:15-3:31 is 16 minutes.
How many times can 3 go into 35
Answer: 11 times is the awnser
Step-by-step explanation:
how to find the axis of symmetry if the parabola doesn't cross the y axis
please i need help
Step-by-step explanation:
a parabolic graph is given by the equation ax^2 + bx + c
the axis of symmetry is equal to -b/(2a)
however it is worth noting that all parabolas have a y intercept since their domain is all real numbers.
make sure to inform me if you need further guidance.
Find the sum of the first 8 terms of the following series, to the nearest integer.
144, 36,9, ...
answer:
192
(the pattern is dividing each number by 4, if you need it)
Some please help me bruuh
Answer:
[tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex]
Step-by-step explanation:
In a cyclic quadrilateral, opposite angles add up to 180 degrees. Therefore, our answer would be the third answer, [tex]m\angle QPO + (2x+16)^\circ = 180^\circ[/tex], where QPO and QRO are opposite of each other.
Below is a rhombus with an equilateral triangle. Find the measure of a.
Answer:
a = 80°
Step-by-step explanation:
In order to solve this figure, we need to find a useful relationship between the various angles. We can use the straight angle at the upper left vertex of the equilateral triangle.
__
The sum of angles there is ...
a + 60° +(a/2) = 180°
3/2a = 120° . . . . . . . . . . subtract 60°, collect terms
a = 80° . . . . . . . . multiply by 2/3
_____
Additional comment
All triangles are isosceles, because they all have 2 (or more) sides the same length. That means the base angles are half the supplement of the a.pex angle. Of course, adjacent vertices of a rhombus have supplementary angles.
Eric has a project. He will make a model of a pyramid out of cardboard. How much cardboard will he need if the base measures 20 cm and the height 18 cm?
Answer:
the area is equal to 180cm
Step-by-step explanation:
Area = (heigh x base) / 2
Area = (18 x 20) / 2 = 180
The graph shows the amount of gas in the tank of Bill's car during a trip to his mom's house. At one point he stopped for gas. About how mush
gas did Bill put in his tank when he stopped?
O 7 gallons
O 12 gallons
O 1 gallon
O 5 gallons
2. The ratio of dogs to cats at the pet store is 1:3. If there are are 6 more cats than dogs, how many dogs are at the pe tore?
Answer: 3
Step-by-step explanation: When the dogs are 3, cats will be 9 at ratio 1:3
Gary, the technology coordinator of a high school, is planning to
purchase one memory stick for each of the teachers. There are 86
teachers at the school. The English teachers requested memory sticks
that have a capacity of 32 gigabytes. Gary determines that $600 is the
maximum amount that can be spent for all of the memory sticks. Gary
finds the following prices for the purchases from Computer City.
Option
Memory Stick
Capacity
Cost Each
A
16 gigabyte
$5. 99
B
32 gigabyte
$9. 99
Free shipping for any order $35 or more.
1
If a represents the number of 16-gigabyte memory sticks
and b represents the number of 32-gigabyte memory sticks,
which equation represents the number of each kind of
memory stick that should be purchased for the teachers?
A a + b = 86
C 16a + 32b = 86
B a + b = 600
D 16a + 32b = 600
Answer:
D
Step-by-step explanation:
a father is 20 years older than his son 5 years ago he was 3 times as old as his son.find their prasent age
Answer:
Son -- 10
Dad -- 30
Step-by-step explanation:
5 years ago the dad was 15 years older than his son.15 / 3 = 5. The son was 5 five years ago he would be 10 now because 5 years ago he was 5. Since the son is 10 the dad must be 30. I know this because the dad is 20 years older than his son.
Simply 2x+4(2x+7)=3(2x+4)
2x+4(2x+7)=3(2x+4)
2x+8x+28=6x+12
10x+28=6x+12
4x+28=12
4x=-16
x=-4
Answer:
4x²+20x+16=0
Step-by-step explanation:
First we can expand the right side:
[tex](2x+4)(2x+7) = 4x^{2} +8x+14x+28[/tex]
Simplify:
[tex]4x^{2} +26x+28[/tex]
Now we can expand the left side:
[tex]3(2x+4) = 6x+12[/tex]
Now we equate both of them to each other:
[tex]4x^{2} +26x+28= 6x+12[/tex]
To make this into a quadratic form we can subtract 6x+12 from both sides:
[tex]4x^{2} +26x+28 - (6x+12) = 6x+12- (6x+12)[/tex]
Simplify
[tex]4x^{2} +20x+16 = 0[/tex]
This is the equation in most simplified version.
What is the perimeter of the rectangle shown below? width 9 inches and length 13 inches
Answer:
44
Step-by-step explanation:
the formula for finding the perimeter of a rectangle is p=2(l+w)
A rectangle measures 2
1
4
meters by 1
7
8
meters. What is its area?
Answer:
77/18 or 4 5/18
Step-by-step explanation:
Convert 2 1/3 and 1 5/6 into improper fractions then multiply:
7 11 77 5
-- x -- = -- = 4 --
3 6 18 18
Hopes this helps :)
Factor x3 – 4x2 7x – 28 by grouping. what is the resulting expression? (x2 – 4)(x 7) (x2 4)(x – 7) (x2 – 7)(x 4) (x2 7)(x – 4)
An expression has numbers, variables, and mathematical operations. The factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The factors of the expression x³-4x²+7x-28 can be written as,
[tex]x^3-4x^2+7x-28\\[/tex]
Take x² as the common factor from the first two terms while 7 as the common factor from the last two terms.
[tex]x^3-4x^2+7x-28\\\\=x^2(x-4)+7(x-4)\\\\=(x^2+7)(x-4)[/tex]
Hence, the factors of the expression x³-4x²+7x-28 are (x²+7)(x-4).
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Which angles are adjacent to each other? Select all that apply.