Answer:
Student is incorrect
Step-by-step explanation:
x^2-7x+10=0
x^2+2x-5x+10=0
x(x-2)-5(x-2)=0
(x-5)(x-2)=0
x-5=0 , x-2=0
x=5 , x=2
So the correct solutions of given equation is 2 and 5
The factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is:-
[tex]x^2-7x+10=0\\\\x^2-2x-5x+10=0\\\\x(x-2)-5(x-2)=0\\\\(x-5)(x-2)=0\\\\x-5=0\\\\x=5\\\\x-2=0\\\\x=2[/tex]
Hence, the factors of the equation [tex]x^2- 7x + 10 = 0[/tex] is [tex]x=2,5[/tex] so the students are incorrect.
To know more about the equation
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explain how you can tell whether a group of ratios represents a proportional relationship. PLEASE HELP
Find the x and y intercept of y=0.5x^2-3x.
Step-by-step explanation:
i don't have a step by step explanation so here you go the answer
Please help me thank you!
The function ƒ(x) = 2x − 2 indicates:
a shift to the right of 1 unit.
a shift to the left of 2 units.
a shift to the right of 2 units.
None of these choices are correct.
Answer:
None of the choices are correct
Step-by-step explanation:
This is because it should be going down if it was subtracting but no answer says that so
Solve.
Pls need help
Answer: try C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
It's c because you multiply 3 1/8 by 3 and 3 1/4 by 4 and 3 1/2 by 1.
Please need help you know this
Answer:
Rule: Output = 2 * input + 1
Right blank: Output = - 1
Left blank: Input = 4
Step-by-step explanation:
Rule
Start with the rule
Output = 2 * input + 1
Let the output = y
Let the input = x
y = 2x + 1
Now
Right Blank
x = - 1
y = 2*-1 + 1
y = -2 + 1
y = - 1
That's the output for -2
Left Blank
The second blank asks you to solve for the input (x) The output (y) is 9
9 = 2x + 1 Subtract 1 from both sides
9-1 = 2x Combine
8 = 2x Divide by 2
8/2 = 2x/2
x = 4
16. The boys' soccer to a bouchoccer ball conoccer balls for $391. If the team bought a total of 17
soccer balls, how much did each soccer ball cost?
A. $21
B. $23
C. $374
D. $408
Answer:
The answer is B $23.
Step-by-step explanation:
You take 391 and divide it by 17
391/17=23
Hope this helps!
Yo pls help me out, the question is on the picture.
ill mark brainliest if its correct. NO LINKS!
please help me and no links this is due in 10 mins ill give you the crown
Answer:
angle Q is 68°
angle R is 112°
PLEASE HELP MEEEEE PLEASE!
Answer: my best guess would be c
Step-by-step explanation: I hope you figure this out maybe use Socratic app that might help
Answer:
(-2,2)
Step-by-step explanation:
the red line is y = x + 4 ( we know this as x = -4 is the x intercept)
the green one is y = -x (it intercepts in origin)
so, we equal the two equations to each other to get the interception point:
x + 4 = - x
4 = -2x
x = -2
we substitute x = -2 in any of the equations we get
y = -2 + 4 = 2 or y = -(-2) = 2
so the point is (-2,2) which is option C.
Name the inequality!
ill give brainiest - please help ASAP with WORK FOR IT please and thank you!! :)
3 pages, with work pleasee
Answer:
isosceles trapezoidtrapezoidrhombussquarerectangleparllelogramquadrilateral10x+18+62=180 co interior angle10x=180-80
x=100/10=10
:.x=10
9.
8x+2=7x+14 corresponding angle of parallelogram are equal
8x-7x=14-2
x=12
10.
4x+4=5x+1 corresponding sides of parallelogram are equal
4-1=5x-4x
x=3
11.
4+3x=19corresponding sides of parallelogram are equal
3x=19-4
x=15/3
x=5
Determine the opposite of 3p^7-8p
Step-by-step explanation:
Maybe you should flip flop
how much markup is $75 to $180
Answer:
105
Step-by-step explanation:
75+105 =180
Margaret owns (5/6) of a section of land. She planted corn on (1/4) of her land. What fraction of the entire section is planted with Margaret’s corn?
Answer:
3/5
Step-by-step explanation:
subtract the fractions then turn the decimal into a fraction.
If a triangle with the angles of 72 degrees, 62 degrees, and 46 degrees and one of the side lengths is 40, what would the length of the other two side be?
Answer:
The length of the other two sides are: 43.09 and 32.60
Step-by-step explanation:
Let the given side of the triangle be b(= 40), and the angles be;
A = [tex]72^{o}[/tex], B = [tex]62^{o}[/tex]and C = [tex]46^{o}[/tex].
Applying the Sine rule,
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]
So that,
[tex]\frac{a}{SinA}[/tex] = [tex]\frac{b}{SinB}[/tex]
[tex]\frac{a}{Sin 72}[/tex] = [tex]\frac{40}{Sin62}[/tex]
a = [tex]\frac{0.9511*40}{0.8829}[/tex]
= 43.0898
a = 43.09
Also,
[tex]\frac{b}{SinB}[/tex] = [tex]\frac{c}{Sin C}[/tex]
[tex]\frac{40}{Sin62}[/tex] = [tex]\frac{c}{Sin46}[/tex]
c = [tex]\frac{0.7193*40}{0.8829}[/tex]
= 32.5881
c = 32.60
The length of the other two sides are: 43.09 and 32.60
Janet and Artie want to play tug-of-war.
Artie pulls with 200 pounds of force while
Janet pulls with 60 pounds of force. In
order to make this a fair contest, Janet
enlists the help of her friends Trudi, Sherri,
andyBridget who pull with 20, 25, and 55
pounds respectively. Write an inequality
describing the minimum amount Janet's
fourth friend, Tommy, must pull to beat
Artie.
Answer:
Tommy would have to pull at least 40.0000000..... something to beat Artie but the closest whole number is 41 becouse it has to be over 200
Step-by-step explanation:
200 /= 60 + 20 +25 + 55 + x
200/= 160 + x - 160 both sides
40 = x
BRAINLIEST-
Find the volume of the figure
Answer:
4080cm²
Step-by-step explanation:
Mrs. Kirsch went shopping at a department store. The store is having a sale, discounting all items by 30% off the marked price. She decides to buy an item originally marked $85.95. She also had to pay 6% sales tax. What is the sales tax on the item? What is the final cost (sale price plus tax) of her purchase?
Answer:
63.76
Step-by-step explanation:
85.95-30% 60.16
60.16+6% 63.76
Find the area of the shaded region. Round to the nearest hundredth
Answer:
Area of the shaded region = 450.52 square inch
Step-by-step explanation:
Area of the shaded region = Area of the circle - Area of the right triangle inscribed in the semicircle
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
= (21)² + (20)²
Hypotenuse = [tex]\sqrt{441+400}[/tex]
= [tex]\sqrt{841}[/tex]
= 29
Since, hypotenuse of the right triangle is the diameter of the circle.
Therefore, radius of the circle = [tex]\frac{29}{2}[/tex]
= 14.5 in.
Area of the circle = πr²
= π(14.5)²
= 660.519
≈ 660.52 in²
Area of the right triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(21)(20)[/tex]
= 210 in²
Area of the shaded region = 660.52 - 210
= 450.52 square inch
I need help fast please
Answer:
-2/3
Step-by-step explanation:
8^(x+2) =8^-2x
since the base are the same we deal with the exponent
x+2=-2x
x= -2/3
If each square in the following floor plan represents 2.5 feet, what are the dimensions of the living room?
Can someone please help me
Please help I have tried so hard
answer this question! i am having some trouble in khan..
HELP MEEEEEEEEEEEE 3.0
Answer:
I think that J would be the answer , It is more reliable than the left ones .
Hope it was helpful , good luck ^^
28.4 grams = ? ounces
Susan deposits $100 into a savings account that earns simple interest at a rate of 5%. If she makes no withdrawals, how much total interest has Susan's savings account earned after 5 years?
Answer:
Interest is $25
Step-by-step explanation:
Formula to find interest:
I = Prt
Given:
P = 100
r = 5% or 0.05
t = 5
Work:
I = Prt
I = 100(0.05)(5)
I = 5(5)
I = 25
I NEED HELP!
The function f(x) is a quadratic function and the zeros of f(x) are - 2 and 5. The y-intercept of f(x) is 30. Write the equation of the quadratic polynomial in standard form.
f(x)=___________
Answer:
Step-by-step explanation:
First of all you have to put the zeros into factor form.
y1 = (x + 2)(x - 5)
Notice that the x changes sigh. You say that the zeros are -2 and 5. To get y1 to go to zero, you must make x the opposite sign of what you are given.
Now you have to expand the factored form to get the standard form
y = x^2 + 2x - 5x - 10
y = x^2 - 3x - 10
That's not the right answer.
f(0) = 30 but you have - 10 at the end so you have to multiply the factored form by - 3
-3(f(x)) = -3(x + 2)(x - 5)
-3(f(x)) = -3(x^2 - 3x - 10)
f(x) = -3x^2 + 9x + 30
f(0) = -3(0)^2 + 9(0) + 30
f(0) = 30
The quadratic still has roots of (x +2)(x - 5) but that 3 makes the y intercept = 30.
See the graph below.
On a number line, show all values of x for which |x|>3
4x – 8
Please helppp
-2
Divide each term (-4x = 8 by -4)
Cancel the common factor of -4
x = 8/-4
THEN DIVIDE
x=-2