Answer:
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
Step-by-step explanation:
Let [tex]3\cdot x^{2}+x - 3 = 0[/tex], the quickest and most efficient approach to find the zeroes of this second order polynomial is by Quadratic Formula. For all [tex]a\cdot x^{2}+b\cdot x + c = 0[/tex], roots are determined by:
[tex]x_{1,2} = \frac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex] (1)
Where [tex]a[/tex], [tex]b[/tex], [tex]c[/tex] are coefficients of the polynomial.
If we know that [tex]a = 3[/tex], [tex]b = 1[/tex] and [tex]c = -3[/tex], then roots of the polynomial are, respectively:
[tex]x_{1,2} = \frac{-1\pm\sqrt{1^{2}-4\cdot (3)\cdot (-3)}}{2\cdot (3)}[/tex]
[tex]x_{1,2} =\frac{-1\pm \sqrt{37}}{6}[/tex]
The zeroes of this polynomial are [tex]x_{1} \approx 0.847[/tex] and [tex]x_{2} \approx -1.180[/tex].
Christi alters a skirt. She cuts 7 inches off the bottom of the skirt and then adds a 5-inch ruffle to the skirt's remaining bottom edge. Which expression best represents the final length of the skirt?
Answer: ( x -2 ) inches
Step-by-step explanation:
Let x = length of skirt.
Given: Christi first cuts 7 inches off the bottom of the skirt and then adds a 5-inch ruffle to the skirt's remaining bottom edge.
Cutting of length will be represented by a negative integer.
The expression best represents the final length of the skirt = x-7+5 inches
= x -2 inches
Hence, the expression best represents the final length of the skirt = ( x -2 ) inches
Which interval on the graph could be described as linear increasing?
A
B
C
D
help me with this multiple choice !
Answer:
60 30 special triangle
answer is b
Answer:
B
Step-by-step explanation:
One of the legs of a right triangle measures 4 cm and its hypotenuse measures 18 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
√308 or 17.5
Step-by-step explanation:
c^2=a^2+b^2
c^2-a^2=b^2
Substitute
18^2-4^2=b^2
324-16=b^2
b^2=308
b=√308 or b=17.5
F(x) = 24/x^2. When x=8
Answer:
3/8
Step-by-step explanation:
F(8)=24/8^2=24/(8*8)=24/64=3/8
There are only green yellow blue cubes in a bag
Answer:
1 ÷ 11
Step-by-step explanation:
The computation is shown below:
let us assume the yellow cubes be x
So, blue cubes be 2x
And, green cubes be 2x (4) 8x
Now the ratio is
Yellow: Blue: green
x:2x:8x
1:2:8
Now the probability of yellow cubes is
= 1 ÷ (1 + 2 + 8)
= 1 ÷ 11
Find the value of x. Round your answer to the nearest tenth.
Answer:
63
Step-by-step explanation:
1. 6x - 29 = 115
2. 3y - 1 = 29
3. 4z - 32 = 36
find x, y, and z
Answer:
x = 24 , y = 10, z = 17
Step-by-step explanation:
Given
6x - 29 = 115
6x = 115 + 29
6x = 144
x = 144 / 6
x = 24
3y - 1 = 29
3y = 29 + 1
3y = 30
y = 30 / 3
y = 10
4z - 32 = 36
4z = 36 + 32
4z = 68
z = 68 / 4
z = 17
Hope it will help :)
does anyone know how to do this
Answer:
Step-by-step explanation:
The domain is basically the highest x and the lowest x.
[-3, ∞)
The range is the highest and lowest y.
[-4.649, ∞)
Local maximum is the highest part of the specific part of the graph.
(-1.423, 3.389)
And the local minimum is basically the same thing but with the lowest part.
(1.757, -4.649)
Rita is designing a building shaped like a pyramid that's cut off in a plane parallel to its base (this is called a truncated pyramid).The building has a 64 × 64 m square base and is 36 m tall. The cut off section has a 16 × 16 m, square base and is 12 m tall. What is the volume of the buliding?
Answer:
65,536−1,024
which = 64,512 m^3
Step-by-step explanation:
I took the test!
The volume of the building shaped like a pyramid that's cut off in a plane parallel to its base is 64512 m³
Volume of a pyramidvolume of a pyramid = 1 / 3 Bh
where
B = base areah = height of the pyramidTherefore,
volume of the building = volume of the whole figure - volume of the cut part
volume of the whole figure = 1 / 3 × (64 × 64) × (12 + 36)
volume of the whole figure = 65536 m³
volume of the cut part = 1 / 3 × (16 × 16) × (12)
volume of the cut part = 1024 m³
Therefore,
volume of the building = 65536 - 1024 = 64512 m³
learn more on pyramid here: https://brainly.com/question/21378886?referrer=searchResults
#SPJ2
HELPPP PLSSSS I REALLY NEED HELP!!!
Answer: 108°
Step-by-step explanation:
Answer:
108Step-by-step explanation:Remember that the total amount of degrees in a pentagon is: 540, and there are 5 sides, so divide 5 by 540:
540/5 = 108
108 is your answer.
Classes M Casa Grande Eleme... Ss Grades and Attend..
N Netflix
h Stream TV and Mo...
School: Practice & Problem Solving
Assignme
x) 5.3.PS-7
Question Help
Together, teammates Pedro and Ricky got 2690 base hits last season. Pedro had 284 more hits than
Ricky. How many hits did each player have?
Pedro had base hits.
S
(1,1)
More
Answer:
can you explain more ........waht is this
Step-by-step explanation:
HELP I AM CONFUSION WHATS THE ANSWERRR
The track club runs the 50-yard dash. How many inches do they run?
Answer:
1800in
Step-by-step explanation:
3ft=1yd
3x50=150ft
12in=1ft
12x150=1800in
Answer:
Step-by-step explanation:
1 yard = 36 inches
50 yards = 36 x 50 = 1800 inches
In an orchard, there are 13 apple trees, 25 orange trees, and a cherry tree. What is the ratio of orange trees to cherry trees?
Answer:
1:25
Step-by-step explanation:
What is the perimeter of the composite figure?
85 cm
107.5 cm
119.5 cm
97 cm
Answer:
102.90
Step-by-step explanation:
i just did it
Answer:
107.5 cm is the correct answer
Step-by-step explanation:
what is a quadrant in math
A quadrant is one of the 4 divided areas of a coordiante plan.
4. Leroy creates customized engraved
birthday cards for his schoolmates.
He charges them $0.75 per card, plus a
dollar for each engraved letter in
the recipient's name. The equation
C=0.75 + l describes the cost of a card
in dollars, c, that has a certain number of
letters in the name, l.
Number of Letters
in Name
Cost of Card
(dollars)
3.75
5.75
6.75
8.75
If you have $10.75 to spend on a card,
how many letters can be in the recipient's
name?
Answer:
10
Step-by-step explanation:
C = 0.75 + L
For L = 3 ; Cost, C = 3.75
3.75 = 0.75 + 3L
3.75 - 0.75 = 3L
3 = 3L
L = 3/3
L = $1
C = 0.75 + 1L
If amount spent is $10.75; C = 10.75
10.75 = 0.75 + L
10.75 - 0.75 = L
10 = L
Number of letters = 10
What is the equation of the linear function represented by the table?
O y=-X+9
O y=-x+ 13
O y=x+13
O Y = X+9
Answer:
y= -x+9
❤hope its helpful
THANK YOU.
I. find the distance the two given points
Answer:
Step-by-step explanation:
Use the formula,
distance = √[(x1-x2)^2 + (y1-y2)^2]
Find the inverse of the function. Is the inverse a function? f(x) = (x − 2)2
Answer:
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
Step-by-step explanation:
Given function is,
f(x) = (x - 2)²
Step - 1
Rewrite the function in the form of a equation.
y = (x - 2)²
Step - 2
Interchange the variables 'x' and 'y',
x = (y - 2)²
Step - 3
Solve the equation for y,
x = (y - 2)²
y - 2 = √x
y = 2 + √x
Step - 4
Rewrite the equation in the form of a function,
[tex]f^{-1}(x)=\sqrt{x}+2[/tex]
Find RS.
S
390
4
R.
Write your answer as an integer or as a decimal rounded to the nearest tenth.
RS =
Answer:
RS ≈ 6.4
Step-by-step explanation:
Using the sine ratio in the right triangle
sin39° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{QR}{RS}[/tex] = [tex]\frac{4}{RS}[/tex] ( multiply both sides by RS )
RS × sin39° = 4 ( divide both sides by sin39° )
RS = [tex]\frac{4}{sin39}[/tex] ≈ 6.4 ( to the nearest tenth )
Evaluate 8+3e8+3e8, plus, 3, e when e=2e=2e, equals, 2.
Answer:
yes that is right
Step-by-step explanation:
There are 5 ways to drive from Town X to Town Y. There are 3 ways to drive from Town Y to Town Z. How many different ways are there to drive from Town X to Town Z, passing through Town Y?
Answer:
A
Step-by-step explanation:
I took the test
What is the zero of r(x) = 8/3x - 16
Answer:
x=1/6
Step-by-step explanation:
Plug in 0 for r(x)0 = 8/3x - 1616 = 8/3x16(3x)=83x=8/163x=1/2x=1/6which of the following trigonometric ratios is equal to 0?
cos π
sin 2π
cot 3π
cos 4π
Answer:
sin 2π
Step-by-step explanation:
None of the given trigonometric functions are equal to zero.
What are trigonometric ratios?Trigonometric ratios are used to define the relation between the sides of a right - angled triangle.
Given are the trigonometric functions.
cos π = - 1
sin 2π = 1
cot 3π = -1
cos 4π = 1
None of the functions are zero.
Therefore, none of the given trigonometric functions are equal to zero.
To solve more questions on trigonometric ratios, visit the link below -
https://brainly.com/question/25122832
#SPJ2
Find x
Geometry angles question
Answer:
5
Step-by-step explanation:
When the angles are vertical you set up your equation to 180
3x-35+130=180 and solve
The slope of this line is____.
Answer:
Positive, the slope is 7/5
Step-by-step explanation:
Answer: The slope of the line is Positive.
:)
Simplify:
(2 + 1)2
A)
3
B)
5
6
D)
9
Answer:
c) 6
Step-by-step explanation:
2(2+1)
4+2
6
Answer:
The answer is 6
Step-by-step explanation:
2+1=3
3*2=6
60,000 is borrowed for 10 years. If the interest on the loan is 49,321.74 , find the monthly payment
Answer:
911.0145
Step-by-step explanation:
60,000 is the initial cost to repay and you add 49,321.74 because of interest
60,000+49,321.74= 109321.74 this is the final cost with interest
you divide by ten because there are ten years and you want it to equal 1 year
109321.74/10= 10932.174 this is the cost per year
last you divide by 12 because thats how many months there are per year
10932.174/12= 911.0145 this is the cost per month