Answer:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex] or [tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex] or [tex]x = \frac{4}{5}[/tex]
Step-by-step explanation:
Step 1 - Simplify by expanding the brackets:
[tex](5x - 7)^2\\(5x - 7)(5x - 7)\\25x^2 - 35x - 35x + 49\\25x^2 - 70x + 49 - 1\\25x^2 - 70x + 48 = 8[/tex]
Step 2 - Subtract 8 from both sides so the equation equals 0:
[tex]25x^2 - 70x + 48 - 8 = 8 - 8\\25x^2 - 70x + 40 = 0[/tex]
Step 3 - Use the quadratic formula:
[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}\\a = 25\\b = -70\\c = 40[/tex]
Plug variables in:
[tex]\frac{-(-70) +- \sqrt{(-70)^2 - (4 * 25 * 40)} }{2 * 25}[/tex]
[tex]\frac{70 +- \sqrt{4900 - 4000} }{50}\\\\\frac{70 +- \sqrt{900} }{50}\\[/tex]
So x is either:
[tex]x = \frac{70 + \sqrt{900} }{50}\\[/tex]
[tex]x = 2[/tex]
Or:
[tex]x = \frac{70 - \sqrt{900} }{50}\\[/tex]
[tex]x = \frac{4}{5}[/tex]
Hope this helps!
(5 1/4−2 1/2)+(6 2/3−3 1/2) plsss help (real answers)
Answer:
5 11/12. hope this helps
Step-by-step explanation:
Answer:
6
Step-by-step explanation: 5 1/4 - 2/12 = 3 6 2/3 - 3 1/2=3 3+3=6
Amana Hagel earns $476 a week. She is married and claims 3 allowances. How much will
be withheld from her weekly paycheck for Federal Income Tax?
Answer:
$158.67
Step-by-step explanation:
Anna adds 2oz of milk to an 18oz cup of coffee that is 10% milk. What is the percentage of the milk in the resulting mixture?
Answer:
19% of milk
lemme know if it helped
Step-by-step explanation:
Help please I’ll give points help help help help
Answer:
my sample ka
Step-by-step explanation:
bigyan mu ako para masagot ko ang tanong nayan.
What function is graphed below?
Which choice is equivalent to the expression below?
5 SQR7-4x SQR7-xSQR7
A. 0
B.-2xSQR7
C.-X^2
D. 5 SQR 7 -5xSQR7
I think is the B, tell me if it's correct OK i'm trying to help
Answer:
5√7-5x√7
Step-by-step explanation:
What's 9 + 10?
Whoever gets it right get's the crown!
Answer:
jokes aside it is 19
Step-by-step explanation:
but if it is jokes then 21
Answer:
Step-by-step explanation:
the answer would be 21
find the value of the angles marked 'x' and 'y'
Answer:
x=120 y=60
Step-by-step explanation:
Interior angle of a hexagon = 120
Straight line = 180
180-120=60
If f(x)=2(x2+5), then f(-3)=
Answer:
-1
Step-by-step explanation:
So you would do
-3×2= -6
then do
-6+5= -1
Ellen solved the equation x2−5=59 using the following steps.
Review her work carefully, and then follow the instructions.
Line 1: x2−5=59
Line 2: x2−5+5=59+5
Line 3: x2=64
Line 4: x=8
Which statement identifies a mistake Ellen made, if any?
Answer:
c
Step-by-step explanation:
In Line 4, she forgot to take the negative square root, because squaring both 8 and −8 equals 64.
Cuantos triángulos se pueden construir con un número entero de palillos
Answer:
Step-by-step explanation:
After creating an equilateral triangle using 3 toothpicks, I require 3 more toothpicks to create more 3 equilateral triangles ie.4 triangles it toto.
First place 3 toothpicks end to end on a Horizontal plane to create an equilateral triangle.
THEN erect 3 toothpicks on each corner of the triangles making other ends joined up together in space above the Horizontal plane so as to create another same THREE equilateral triangles. (I am unable to provide a pictorial presentation due to inadequacy of signs & symbols on the keyboard. )
I suppose, you must have visualised the superstructure.
Thanks.
Hasan plans to choose a book from a section of the store where everything is 25%
off He writes the expression d 0.25d to find the sale price of the book if the original
price is d dollars.
Bella correctly writes another
expression. 0.75d, that will also find the sale price of the
book if the original price is
I/ dollars,
Use the drop-down menus to explain what each part of Hasan's and Bella's
expressions mean.
Hasan's Expression: d - 0.25d
d: Original price0.25: percent discount 0.25d: amount of discountd - 0.25d: sale price--------------------
Bella's Expression: 0.75d
0.75: percent of original priced: original price0.75d: sale price=============================================
Explanation:
The variable d stands for the original price. The store is offering a 25% sale, which means that Hasan will save 25% of the original price. This means 0.25d represents the amount he saves (aka the discount amount).
For instance, let's say d = 100 is the original price. 25% of this is 0.25d = 25 dollars. So if the book is originally $100, then he saves $25.
As you can probably guess, the 0.75 comes from 1 - 0.25 = 0.75; it indicates that if Hasan saves 25%, then he still has to pay the remaining 75%
Notice how d - 0.25d = 1d - 0.25d = (1-0.25)d = 0.75d which points to the sale price being 75% of the original price d.
For one English test jason correctly answered 22 questions these correct answers gave him a percent score of 50% In total how many questions were on this English test
3
1) Wendy has 3/5 gallon of milk. She
used 1/8
gallon to make cookies. How
much milk does Wendy have left?
8
a)
T-
WIN
b)
b) io
3
1
19
29
c)
d)
40
40
Answer: 19/40 gallons
Step-by-step explanation:
She has 3/5. She used 1/8. 3/5=24/40 and 1/8 = 5/40.
24/40 - 5/40 = 19/40 gallons
:0 hope it helps
jessie works in an electronics store and earns a 7.5% commission on every item that she sells. How much commission would she earn for selling a computer that costs $1,580?
Work Shown:
7.5% = (7.5)/100 = 0.075
7.5% of $1580 = 0.075*1580 = 118.50
the number of decimal places after which the decimal expansion of 23 upon 2²*5 will terminate will
Answer:
Given:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
To Find:
Expansion of the given number = ?
Solution:
⇒ \frac{23}{2^2(5)}
2
2
(5)
23
By opening the squares, we get
⇒ \frac{23}{2\times 2\times 5}
2×2×5
23
⇒ \frac{23}{4\times 5}
4×5
23
⇒ \frac{23}{20}
20
23
⇒ 1.151.15
Someone help me pls
Answer:
-1 = 2(-1 -1) = -4
0 = 2(0-1) = -2
1 = 2(1-1) = 0
2 = 2(2-1) = 2
Step-by-step explanation:
x = the number on the left column
for the middle colum, you need to do 2(x -1)
for the right column, you do : (x - 1) x 2)
Each week, Christian earns $x fixing bicycles and receives $10 as his allowance.
To find how much he will earn in total over 2 weeks, Christian calculates the following:
x + 10 + x + 10
What is another way Christian can calculate how much he will earn in total over the 2 weeks?
Drag and drop the equivalent expression in the box.
Answer:
2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
-Chetan K
Answer: 2(x+10)
Step-by-step explanation:
x + 10 + x + 10 is the same as 2 times the expression x + 10
This can be written as 2(x+10)
Helps me please help help me
Answer:
(2, -6)
Step-by-step explanation:
1. The rule for reflecting a point across the y-axis is (x, y) -> (-x, y)
This means that when reflecting across the y-axis, the x-coordinate changes signs.[tex](-(-2),-6)[/tex] [tex](2,-6)[/tex]Therefore, the ordered pair that describes the location of C' is (2, -6).
Answer:
(2, -6)
Step-by-step explanation:
1
4
3
Time (h)
2
.
3
Cars
Washed
6
9
12
a. Proportional?
b. Equation:
C. Number of hours:
3. Cars washed:
Step-by-step explanation:
Proportional = time/cars washed
= 1/3
no. of hours= 90hours
cars washed = 30 cars washed
Use a protractor to measure the
angle. Then identify it as either
acute, right, obtuse, or straight.
Name
Size
Answer:
Straight angle 180 degrees
The zeros of the quadratic function described by the graph below is
7. The zeros of the quadratic function described by the graph below is
1
A. 2,1
B. -2,1
C. 2,-1
D. -2,-1
Answer :CFind the value of X Show all work
(2x+6)
36
(4x-18)
Answer:
X=30
Step-by-step explanation:
(2X + 6) + 36 = (4X- 18)
36=4X-18-2X-6
36=2X-24
2X = 60
X = 30
wELCOME
This is the ANSWER
HELP ME OUT PLEASE!!
For the formula shown, how many sulfur atoms are represented?
O 1
O 2
O 4
O 6
H₂SO₄ is Sulfuric Acid and the number of atoms Sulfur has is 4 atoms
What is a Chemical Formula?
A chemical formula is a formula that lists the constituent parts of a compound together with their relative proportions. No subscript is used if there is just one atom of a certain kind. A subscript is added to the symbol for an atom if it contains two or more of a certain type of atom.
Given data ,
The chemical is represented as H₂SO₄ which is Sulfuric Acid
Sulfuric acid has 2 atoms of Hydrogen , 1 atom of Sulfur and 4 atoms of Oxygen
As per the chemical formula , we can see that there is no subscript added to the Sulfur S in the chemical formula equation.
Therefore , The number of Sulfur atoms present in H₂SO₄ is 1
Hence , H₂SO₄ has only 1 sulfur atom
To learn more about chemical formula click :
https://brainly.com/question/29031056
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Can someone help me on theses?
Anne bought an aquarium priced at $44.96. Shipping and handling cost an additional 25%of the price. What was the total cost of the aquarium, including shipping and handling?
pls help (picture) *30 points*
Answer:
perimeter = 36
Step-by-step explanation:
Each diagonal side is the hypotenuse of a right triangle with legs of lengths 6 and 8.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = √100
c = 10
Each horizontal side measures 8.
perimeter = 8 + 8 + 10 + 10
perimeter = 36
what are the solutions to the system
[tex]10+y=5x+x^2~~~~.....(i)\\\\5x+y =1~~~....(ii)\\\\\text{From (i):}\\\\10+y = 5x +x ^2\\\\\\\implies y = 5x +x ^2 -10\\\\\text{Substitute y in equation (ii):}\\\\5x+5x+x^2-10=1\\\\\implies x^2 + 10x -11 =0\\\\\implies x^2 +11x -x -11=0\\\\\implies x(x+11) -(x+11) =0\\\\\implies (x-1)(x+11) =0\\\\\implies x =1 ~~ \text{or}~~ x = -11\\\\\text{Substitute x =~1 in equation (ii):}\\ \\5+y =1 \implies y =-4[/tex]
[tex]\\\text{Substitute}~ x =-11~ \text{in equation (ii):}\\\\\ 5(-11) + y = 1 \implies y = 1 +55 = 56 \\\\\text{Hence} (x,y) = (-11,56) ~~\text{and}~~ (x,y)=(1,-4)[/tex]
50 point question Solve quick i will give branliest
Answer:
17
Step-by-step explanation:
x + 100 = 4x + 49
100 - 49 = 3x
3x = 51
x = 17
Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?
Answer:
1/3 or 33.33 %
Step-by-step explanation:
this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%
Answer:
likely
If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely