9514 1404 393
Answer:
a. f(x) = (4x +5)(x -3)
b. x-intercepts: {-1.25, +3}
c. f(x) goes to +infinity as x goes to ±infinity
d. plot the x-intercepts, the vertex, and a few other points; draw a smooth curve through them
Step-by-step explanation:
a. Here, you're looking for factors of (4)(-15) = -60 that have a sum of -7. Those factors will be -12 and +5, so we can factor the function as ...
f(x) = (4x -12)(4x +5)/4
f(x) = (x -3)(4x +5)
__
b. The x-intercepts are the values of x that make the factors zero:
x -3 = 0 ⇒ x = 3 . . . . (add 3)
4x +5 = 0 ⇒ x = -5/4 . . . . (add -5, divide by 4)
__
c. As with all even-degree polynomials with positive leading coefficients, the end behavior of f(x) matches that of |x|:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → ∞
__
d. The vertex of the function will be located halfway between the x-intercepts, at x = (3-5/4)/2 = (7/4)/2 = 7/8. The value of f(x) there is ...
f(7/8) = (4(7/8) +5)(7/8 -3) = -289/16 = -18.0625
Since the leading coefficient is 4, the normal x^2 function behavior is stretched vertically by a factor of 4. So, additional points would be
x = 7/8 ±1, f(x) = -18.0625 +4·1 = -14.0625
x = 7/8 ±2, f(x) = -18.0625 +4·2^2 = -2.0625
The answers of part B locate two points on the graph, and help find the vertex. The answer of part C confirms the graph as opening upward.
__
Additional comment
I find a graphing calculator to be very helpful finding the roots and making the graph.
Answer the question. Will give Brainliest to whoever gets it right.
Answer:
27 feet
Step-by-step explanation:
they go 27 feet because 15+6+6=27
A bakery offers a sale price of $2.60 for 6 muffins. What is the price per dozen?
Answer:
$5.20
Step-by-step explanation:
A dozen is 12, so multiply by two.
2.60 * 2 = $5.20
Answer:
5.20 for 12
Step-by-step explanation:
2.60 for 6
2.60*2=12
5.20 for 12
What is the radius of a hemisphere with a volume of 920 ft^3 to the nearest tenth of a foot?
Answer:
7.6 ft
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
A hemisphere is 1/2 of a sphere
V = 1/2 (4/3 pi r^3)
V = 2/3 pi r^3
920 = 2/3 pi r^3
Multiply each side by 3/2
920 * 3/2 = 3/2 * 2/3 pi r^3
1380 = pi r^3
Divide each side by pi
1380/pi = pi r^3 / pi
1380/ pi = r^3
Using pi as 3.14
1380/3.14 = r^3
439.4904459= r^3
Taking the cube root of each side
(439.4904459)^(1/3)= r^3^(1/3)
7.602967711=r
To the nearest tenth
7.6 = r
radius=7.6ft
Answer:
Solution given:
radius [r]=?
Volume of hemisphere=920ft³
⅔*πr³=920
r³=920*3/(2π)
r³=439.267
r=[tex]\sqrt[3]{439.267}=7.6ft[/tex]
find the value of n
3n-10
n=
10-3=N
N=7
Step-by-step explanation:
hope you like it
A new pair of Air Jordan's that sells for $150 decreases at a rate of 14% each year. Find the value of the shoes after 5 years (round to the nearest cent).
Answer:
$45
Step-by-step explanation:
If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%. So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.
Please help I’ll mark as brainliest !
Answer:
x = 0.6
Step-by-step explanation:
2(x+4)+8x = 14
2x+8+8x = 14
10x+8 = 14
10x = 6
(divide by 10)
x= 0.6
please answer no links pls
Answer:
i cant read it..
Step-by-step explanation:
Show that x^2 + 5x = 3
Answer:
[tex]area = length \times width \\ 9 = (x + 3)(x + 2) \\ {x}^{2} + 2x + 3x + 6 = 9 \\ {x}^{2} + 5x + 6 = 9 \\ {x}^{2} + 5x + (6 - 9) = 0 \\ {x}^{2} + 5x =3[/tex]
Write an equation of the line that passes through (5,0) and is parallel to the line
y = -3x + 2
Answer:
y=-3x+15
is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2
Step-by-step explanation:
find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.
hope this helps
Please help quadratic equation!! 20 points
Answer:
x=4,−2
Step-by-step explanation:
Because Step 1. Move all terms to one side.
{x}^{2}-2x-8=0
x
2
−2x−8=0
2 Factor {x}^{2}-2x-8x
2
−2x−8.
1 Ask: Which two numbers add up to -2−2 and multiply to -8−8?
-4−4 and 22
Step 2. Rewrite the expression using the above.
(x-4)(x+2)
(x−4)(x+2)
and going to;
(x-4)(x+2)=0
(x−4)(x+2)=0
And Step 3. Solve for xx.
1 Ask: When will (x-4)(x+2)(x−4)(x+2) equal zero?
When x-4=0x−4=0 or x+2=0x+2=0
2 Solve each of the 2 equations above.
x=4,-2
x=4,−2
x=4,-2
Our Answer is:
x=4,−2
I Hope It's Helps
Answer:
2 and -4
tso numbers when added gives -2 and 8 incase it's not clear enough.
the table below does not represent a function why?
Answer:
Because X (10) repeats
Step-by-step explanation:
A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function
You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.
Answer:
The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.
We have x = 10 twice with different f(x) associated, 5 and 20.
If we plot those points they will be on same vertical line, thus the vertical line test is failed.
what is the length of the diagonal of the screen,in feet?
Answer:
12.2
Step-by-step explanation:
Please help its urgent quick fast Lighting McQueen!
Answer:
Option A
Step-by-step explanation:
x-7>2
x>9
Therefore, A is correct since 9 isn't included in the solution set.
Answer:
First option is correct
Step-by-step explanation:
x-7 > 2
x > 7+2
x > 9
Hope it is helpful....In 2016, the average SAT Math score was 510 with a standard deviation of 80 points. What is the probability of a student scoring less than 590?
a. 83.85%
b. 67.7%
c. 16.15%
d. 49.85%
Select the correct answer.
What is in simplest form?
A. 8√4
B. 17√2
C. 4√ 17
D. 2√17
Pick ALL the options below that make g > 21 true
g = 21 1.
g = 17 2.
g = 12 3.
g = 34 4.
g = 25 5.
Answer:
correct answers that make g > true
g = 21.1
g = 34.4
g = 25.5
In short words , the 1st , 4th and 5th option make , g > 21 true .
Analyzing angle pair relationships
Angle 3 and 4 are ____.
The equation _____ can be used to solve for x.
m 5 = __
Answer:
Angle 3 and 4 are supplementary angles.
The equation (3x+4) + (2x+11) = 180 can be used to solve for x.
m 5 = 77
Step-by-step explanation:
ABCD is a rhombus. If the area of the rhombus is 16 cm2, and = 8 cm, what is ?
1 cm
4 cm
2 cm
8 cm
Pleas help this is due today!!
what is the value of the expression 6ab - b3 , if a=1 and b=2?
Answer:
6
Step-by-step explanation:
6(1×2) - 3(2)
6×2 - 6
12-6
= 6
here you go
please help with mine
Given: CA bisects BAD and CA bisects BCD.
Prove: ABC - ADC.
By AAS criteria, ΔABC ≅ ΔADC.
What is Parallelogram? What is triangle?In Euclidean geometry, a parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure. A triangle is a polygon with three edges and three vertices. The sum of all the angles of a triangle is 180 degrees. Mathematically -
∠x + ∠y + ∠z = 180°
There are different types of triangles such as -
equilateral triangle , scalene triangle , isosceles triangle etc.
Given is CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC.
In ΔABC and ΔADC -
∠ABC = ∠ADC = 90°
∠ACB = ∠ACD {bisected angle ∠BCD}
AC = AC {Common}
By AAS criteria, ΔABC ≅ ΔADC.
Therefore, by AAS criteria, ΔABC ≅ ΔADC.
To solve more questions on 2 -D figures, visit the link below-
brainly.com/question/25950519
#SPJ2
[Complete questions
Given: CA bisects ∠BAD, AB ⊥ BC and AD ⊥ DC . Prove: △ABC≅△ADC.]
Could someone please help me with this?
Answer:
Equal
Equal
Equal
Supplementary
Step-by-step explanation:
Just learn the angles tbh, you will need them in the future
If there are 10 marbles in a bag 1/5 of them are red and the others are blue. What is the ratio of red marbles to blue marbles ?
Answer:
4:1
Step-by-step explanation:
We know 1/5 of the marbles are red.
There are 10 marbles.
1/5 is also 2/10, so:
2 of the 10 marbles are red.
To find the blue marbles, lets subtract the red marbles from the total marbles:
10-2=8
So 8 of the marbles are blue.
This is a ratio of 8 blue to 2 red marbles.
Or
4 blue to 1 red marbles.
This can be shown as:
4 : 1
Hope this helps!
Find the equation with a line with slope 7
_
2 passing through the point (-2,9).
Answer:
y = 7/2 x+16
Step-by-step explanation:
The equation for a line is y = mx+b where m is the slope and b is the y intercept
y = 7/2 x+b
Substitute the point into the equation
9 = 7/2(-2)+b
9 = -7+b
9+7 = b
16 = b
y = 7/2 x+16
Ray is constructing a flowerbed for the zoo and wants to
know if he has enough edging. A sketch of the flowerbed
is shown below. What is the perimeter of the triangle?
Round to the nearest whole number.
72 ft
41 ft
12 ft
24 ft
12 H
48 ft
Answer:
Option (3)
Step-by-step explanation:
Since, flowerbed is in the shape of a right triangle,
By applying Pythagoras theorem in the given right triangle,
(Hypotenuse)² = (leg 1)² + (leg 2)²
(Hypotenuse)² = (12)² + (12)²
(Hypotenuse)² = 144 + 144
Hypotenuse = √288
Hypotenuse = 16.97
≈ 17 ft
Perimeter of the triangle = Sum of the measures of three sides of the triangle
= 12 + 12 + 17
= 41 ft
Therefore, Option (3) will be the correct option.
Answer:
41ft
Step-by-step explanation:
because i got 100% on the lesson
Using distributive property What expression is equivalent to (p-q)(3)
[tex]\longrightarrow{\green{3p-3q}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex](p - q)(3)[/tex]
Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have
[tex] = (3 \times p) - (3 \times q)[/tex]
[tex] = 3p - 3q[/tex]
[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Answer:
3p - 3q
Step-by-step explanation:
( p - q ) ( 3 )
use distribute property which means multiply each terms in the parantheses by 3.
3 × p - 3 × q
3p - 3q
Find the surface area of the rectangular prism
Answer:
472
Step-by-step explanation:
ASAP
Help pls
Answer as fast as you can
Plsss help
Thank you
Answer:
42
Step-by-step explanation:
From the question, we have it that 63 cups were emptied
That means the sum of both cup sizes is 63
Thus;
x + y = 63 ••••••(i)
Since each small cup is of size 8 oz and a total of x was used. The total volume from the small sized cup is 8 * x = 8x oz
similarly for the medium sized, we have 12 * y = 12y oz
The sum of both is 4(147)
8x + 12y = 4(147 )•••••(ii)
We want to get the value of x
from equation i;
y = 63-x
Substitute this into equation ii
8x + 12(63-x) = 4(147)
8x + 756 - 12x = 4(147)
12x-8x = 756-4(147)
4x = 168
x = 168/4
x = 42 small sized cups
if p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5^2 .find p (x) - q (x)
Answer:
4x⁴-3x⁴+5x³-3x²+1
Step-by-step explanation:
Given that p (x) = 3x^3+2x^2+4x^4+3 and q (x) = 3x^4-2-x+5x^2
p (x) - q (x) = 3x^3+2x^2+4x^4+3 - (3x^4-2-x+5x^2)
p (x) - q (x) = 3x^3+2x^2+4x^4+3 - 3x^4 + 2 + x - 5x^2
Collect the like terms
p (x) - q (x) = 4x⁴-3x⁴+3x³+2x²-5x²+x+3-2
p (x) - q (x) = 4x⁴-3x⁴+5x³-3x²+1
This givess the difference
Find the area of this parallelogram