Answer: Step-by-step explanation:
1. Given f(x) = 6x2 – 7x – 3
To find the zeros
Let us put f(x) = 0
⇒ 6x2 – 7x – 3 = 0
⇒ 6x2 – 9x + 2x – 3 = 0
⇒ 3x(2x – 3) + 1(2x – 3) = 0
⇒ (2x – 3)(3x + 1) = 0
⇒ 2x – 3 = 0 Or 3x + 1 = 0
x = 3/2 x = -1/3
It gives us 2 zeros, for x = 3/2 and x = -1/3
Hence, the zeros of the quadratic equation are 3/2 and -1/3.
Now, for verification
Sum of zeros = – coefficient of x / coefficient of x2
3/2 + (-1/3) = – (-7) / 6 7/6 = 7/6
Product of roots = constant / coefficient of x2
3/2 x (-1/3) = (-3) / 6 -1/2 = -1/2
Therefore, the relationship between zeros and their coefficients is verified.
2.Let f(x) = 3x2 ˗ x ˗ 4 = 0
3x2 ˗ 4x + 3x ˗ 4 = 0
⇒ x(3x ˗ 4) + 1 (3x ˗ 4) = 0
⇒ (3x ˗ 4) (x + 1) = 0
To find the zeroes
(3x ˗ 4) = 0 or (x + 1) = 0
x = 4/3 or x=-1
So, the zeroes of f(x) are 4/3 and x=-1
Again, Sum of zeroes = 4/3 + (-1) = 1/3 = -b/a =
=(-Coefficient of x)/(Cofficient of x2)
Product of zeroes = 4/3 x (-1) = -4/3 = c/a=
= Constant term / Coefficient of x2
Therefore, the relationship between zeros
What is the equation of the following graph in vertex form?
Y=(X-3)^2-1
Y=(X+3)^2-1
Y=(X-4)^2-2
Y=(X-4)^2+8
Answer:
Hello,
answer B
Step-by-step explanation:
Vertex is (-3,-1)
The equation of the parabola should be:
y=k*(x+3)²-1
(0,8) is a point of the parabola:
8=k*(0+3)²-1
8+1=9k
k=1
Equation is y=(x+3)²-1
Answer B
My hw says, "suppose E has a coordinate of -1 And EG= 7" what is the possible coordinate of G?
Answer:
-8,6
Step-by-step explanation:
from what i can tell this is a 1D problem. |E-G|=7, and E=-1, so -1-G=+-7. G=-8 or 6
Answer: Wouldn’t the possible coordinate of G be 8?
Step-by-step explanation:
If E is -1 and we know that EG combined is 7, we can deduce that you have to have an 8 to get 7 because 8 + -1 = 7 or E + G = EG
i need help now! Mr. Morris is going to save money and replace his sailboat's mainsail himself. He must determine the area of the mainsail in order to buy the correct amount of material. Calculate the area of the parallelogram to determine how much material should be purchased. Be sure to explain how to decompose this shape into rectangles and triangles. Describe their dimensions and show your work.
Answer:
i cant see a parrellogram!
please post a picture
On a recent math test. Samantha scored 3 points for each of the 18 multiple choice que non se
answered correctly and 5 points for each of the 6 short response questions she answered correctly
She scored an additional 4 points for the bonus question. Write an expression for her total score on
the test and then find her score.
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points :
From the question given, we are told that Samantha scored 3 points for each of 18multiple questions his means that the total points made here is expressed as:
(3 × 18) ...1
If she got 5 points for each of the 6 short responsmultiple choice questione questions she answered
correctly, the total point made will be expressed as;
(5×6) ... 2
Total score for an additional 4 points for the bonus question will be "4"
Expression for her total score will be the sum of all the expression above as thus:
(3×18) + (5×6) + 4
Taking the sum, her score will be:
= (3×18) + (5×6) + 4
= 54 + 30 + 4
= 84 + 4
= 88 points
The required expression will therefore be:
(3×18) + (5×6) + 4
Her total score is 88points
Learn more about sum here: brainly.com/question/16397188
Solve the system of equations.
y = x2 + 3x - 4
y= 2x - 4
Answer:
The two solutions are
(0,-4) and (-1,-6)
Step-by-step explanation:
The ys have to be equal so you can equate the right hand side.
x^2 + 3x - 4 = 2x - 4 Add 4 to both sides
x^2 + 3x = 2x Subtract 2x from both sides
x^2 + 3x - 2x = 0 Combine
x^2 + x = 0 Factor
x(x + 1) =0
Just to show you that these two points really are the solutions, you can see the graph below
x has 2 values
x + 1 = 0
x = - 1
or
x = 0
Now solve for y
y = 2x - 4
Let x = 0
y = - 4
Let x = - 1
y = 2x - 4
y = -2 - 4
y = - 6
The blue is y = x^2 + 3x - 4
The green line is y = 2x - 4
. If a = 120°, find the measure of angles b, c and d.
Explain your reasoning.
I need help I don't understand it.
These angles are corresponding angles, and we know that corresponding angles are equal when a transversal intersects two parallel lines.
So,
8x - 12 = 6x + 8
=> 8x - 6x = 8 + 12
=> 2x = 20
=> x = 20/2
=> x = 10
So, the value of x is 10.
please mark this answer as brainlist
How do I do question 2?
Answer:
518
Step-by-step explanation:
solution:
=8^2^×1^+1+6^2^×1^-1
=8^3+6^1
=8^3+6
=8×8×8+6
=512+6
=518
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
Answer:
D
Step-by-step explanation:
we take the base as a right angled triangle with sides 6mi , 8 mi and hypotenuse 10 mi.
area of base=1/2×6×8=24 mi²
volume=base area ×height
=24×8
=192 mi³
Answer:
D
Step-by-step explanation:
Someone plz round 6.675 to the nearest hundredth
Answer:
6.68
Step-by-step explanation:
To round 6.675 to the nearest hundredth consider the thousandths’ value of 6.675, which is 5. Therefore, the hundredths value of 6.675 increases by 1 to 8.
6.675 rounded to the nearest hundredth = 6.68
The product of two numbers is 10000.If one number is 16 times the other numbers ,find the two numbers.
▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
➯Question:The product of two numbers is 10000. If one number is 16 times the other numbers ,find the two numbers.Answer:Both numbers are 25 and 400.Step By Step Explanation:Given that:The product of two numbers is 10000.One number is 16 times the other number.To Find:Both numbers?Solution:Let us consider that one number be n, in question it is stated that other number is 16 times the first number. Therefore, other number is 16n.According to the Question :[tex]\sf↦ Product ~of ~numbers = 10000\\\\↦ n × 16n = 10000\\\\↦ 16n² = 10000\\\\↦ n² = \sf \dfrac{10000}{16}\\\\↦ \sf n = \sqrt{\dfrac{10000}{16}}\\\\↦ \sf n = \sqrt{\dfrac{100\:\times\:100}{4\:\times\:4}}\\\\↦ \sf n = {\cancel{\dfrac{100}{4}}}\\\\➦\pmb{\underline{\boxed{\sf{\pink{n = 25}}}}}[/tex]
Hence,1st number = n = 252nd number = 16n = 16 × 25 = 400∴ Hence, both numbers are 25 and 400.▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓▓
Answer:
(25, 400) or (-25, - 400)Step-by-step explanation:
Let the numbers be x and y.
We have:
y = 16xxy = 10000Substitute y and solve for x:
x(16x) = 1000016x² = 10000x² = 10000/16x² = 625x = √625x = ± 25Then y is:
y = ± 25*16 = ± 400The numbers are:
25 and 400 or -25 and - 400[tex]\sqrt[3]{x+1} =2x+2[/tex]
How many tacos could you buy with your money? On Tuesday you can buy two tacos and you get one free.
If you had $20 dollars would you have enough money to buy a taco for 37 students on a Tuesday?
Answer:
due to not much information given and the way you ask the question I would definitely say no
Answer:
Yes you would have enough!
Step-by-step explanation:
Simply multiply .50 by 37 and that gives you 18.5!
A number added by 7 is the same as that
number times four minus eleven.
Translate into an equation
Answer:
[tex]x+7=4x-11[/tex]
Step-by-step explanation:
Hi there!
Let [tex]x[/tex] represent "the number".
A number added by 7 is the same as that number times four minus eleven.
A number added by 7 ⇒ [tex]x+7[/tex]
Is the same as ⇒ [tex]x+7=[/tex]
The number times four ⇒ [tex]x+7=4x[/tex]
Minus eleven ⇒ [tex]x+7=4x-11[/tex]
I hope this helps!
how to change mixed fraction into improper fraction and improper to proper fraction easy way
Answer with Step-by-step explanation:
To change the mixed fraction into improper fraction you multiply the denominator with the whole and add to numerator.
For example: 4 1/5 = (5*4)+1/5=21/5
To change improper into proper mixed fraction,
Divide the numerator by denominator and write the remainder on numerator
For example: 7/2= 3 1/2
Please help!!!!!!!!!!
Answer:
b) 7 (1, 2,3,5,7,11,13)
c) 0
d) 5
e) 8
If A=(prime number less than 10)list the element of set A and find n(A)
Find slopes of the given points .
[tex]\Large\star\tt {(5,6)\atop (3,-2)}[/tex]
[tex]\Large\star\tt {(-3,4)\atop (4,-7)}[/tex]
Spam free answers required .
Well explained answer will be marked as brainliest .
Answer:
Use the slope formula:
m = (y₂ - y₁)/(x₂ - x₁)The first one:
m = (-2 - 6)/(3 - 5) = -8/-2 = 4The second one:
m = (-7 - 4)/(4 - (-3)) = -11/7Answer:
Step-by-step explanation:
1) (x₁,y₁) = (5 , 6) & (x₂,y₂) = (3 , -2)
[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-2-6}{3-5}\\\\=\dfrac{-8}{-2}\\\\=4[/tex]
2) (x₁,y₁) = (-3, 4) & (x₂,y₂) = (4 , -7)
[tex]Slope= \dfrac{-7-4}{4-[-3]}\\[/tex]
[tex]= \dfrac{-11}{4+3}\\\\=\dfrac{-11}{7}[/tex]
Please help! Geometry 9th grade
Answer:
69.3
Step-by-step explanation:
if you put it into 2D, you get a right triangle with leg lengths 62 (vertical height) and 31 (1/2 the base's length). Using Pythagorean's Theorem you get sqrt((62^2)+(31^2))= 69.318. Rounding to the nearest tenth you get 69.3
Fill in the table to explore the graph.
Miles Walked by Alonso
" Time (hours) 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0
Miles Walked
6
V
16
12
Miles
8
4
X
1
4
3
Time (hours)
time
Answer:
Step-by-step explanation:
so you have divide ok by my and divide 5x1
HELLLPPPPPPPPP!!!!!!
A shopkeeper fixed the marked price of his radio to make a profit of 30 %. Allowing 15 % discount on the marked price, the radio was sold. What percent profit did he make?
Answer:
10.5 %
Step-by-step explanation:
Here .
let the Cost Price be 'x'
the..
by the question..
the marked price was fixed to make 30% profit
then..
the marked price will be
x+ 30% of x
= x + 30/100 × x
=x+ 0.3x
=1.3x
soo .. the marked price is 1.3x
now.. after allowing 15% discount..
the selling price will be
1.3x - 15% of 1.3x
= 1.3x - 0.195x
= 1.105x
thank you...
plzz mark me brainliest now
now..
profit made = 1.105x-x
= 0.105x
soo .
in percentage..
profit percent = profit/cp × 100%
= 0.105x/x × 100%
= 10.5 %
What is the area of trapezoid DEFG?
PLEASE SO THIS ASAP!!!
MUST SHOW WORK
Answer:
Area = 35 cm^ 2
Step-by-step explanation:
Area = 1/2(a+b) x h
1/2 (5+9) x 5
= 35 cm^ 2
Answered by G a u t h m a t h
Answer:
A = 35 cm²
Step-by-step explanation:
The area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)
where h is the perpendicular height between the bases and b₁, b₂ are the bases.
Here h = 5 , b₁ = 9 and b₂ = 5 , then
A = [tex]\frac{1}{2}[/tex] × 5 × (9 + 5) = 2.5 × 14 = 35 cm²
Find the distance between the two points.
(5,5)
(2.2)
✓ [?]
Enter the number that
goes beneath the
radical symbol.
Answer:
[tex]{18}[/tex]
Step-by-step explanation:
[tex] \sqrt{(2 - 5) {}^{2} + ( 2 - 5) {}^{2} } [/tex]
[tex] = \sqrt{( - 3) {}^{2} + ( - 3) {}^{2} } [/tex]
[tex] = \sqrt{9 + 9} [/tex]
[tex] = \sqrt{18}[/tex]
Answered by GAUTHMATH
Brainliest if you help me ….
How many integers $n$ satisfy $-4n\ge 12$ and $n+5>2$??
-4n ≥ 12 ==> n ≤ -3
n + 5 > 2 ==> n > -3
But n cannot be both less than/equal to -3 AND greater than -3, so there are no integers n that satisfy these inequalities.
Answer: 0
Step-by-step explanation:
elizas backpack weights 18 7/8 pounds with her math book in it. without her math book, her backpack weighs 14 7/9 pounds
I'm assuming your trying to find the weight of the math book so here it is:
Answer:
4 5/36
Step-by-step explanation:
You'd have to do 18 7/8 - 14 7/9 but you can't subtract them yet because they don't have common denominators. So, you have to multiply the 7/8 by 9 and the 7/9 by 8. Then you would get 63/72 and 56/72. Then you put that into the equation and get, 18 63/72 - 14 53/72. If you subtract those, you get the answer, 4 10/72. Which can be simplified as 4 5/36.
Ashish is 175 cm tall his sister Annu is 8% shorter than him what is Annu's height
pls help
Answer:
8% out of 175 = ( 8 ÷ 100 ) × 175 = 14
175 cm - 14 = 161 cm
...............
Seventy-two books were to be divided up among 18 children. Which of the following
expressions is equivalent to this fraction?
a. 8/3 divided by 6/9
b. 8/3 times 2/3
c. 2/9 divided by 8/9
d. 2 times 8/2
Answer:
a
Step-by-step explanation:
cause if 72 book were divided by 18 kids they would hav all gotten 4 books each
so a is the answer cause it gives youthe answer 4
Answer: a. 8/3 divided by 6/9
Step-by-step explanation: I got this question on my test
Which of the following numbers is between 0.08 and 0.4?
(A) 0.019
(B) 0.009
(C) 0.109
(D) 0.91
(E) 0.409
Answer:
C
Step-by-step explanation:
the numbers between 0.08 and 0.4 are:
0.09, 0.10, 0.11, 0.12, 0.13, 0.14, 0.15, .16, 0.17, 0.18, 0.19, 0.20, 0.21, 0.22, 0.23, 0.24, 0.25, 0.26, 0.27, 0.28, 0.29, 0.30, 0.31, 0.32, 0.33, 0.34, 0.35, 0.36, 0.37, 0.38, 0.39
I bolded the number closest to your answer choices, hope this helps!
