Answer:
f(x)=−4(x+ 41 ) 2 − 4 11
Explanation:
The given function is
f(x) = - 4 {x}^{2} - 2x - 3f(x)=−4x 2 −2x−3
To write the function is vertex form, we need to complete the square.
We first factor -4 to get:
f(x) = - 4 ({x}^{2} + \frac{1}{2} x) - 3f(x−4(x2 + 21 x)−3
Add and subtract the square of half the coefficient of x.
f(x) = - 4( {x}^{2} + \frac{1}{2} x + \frac{1}{16} ) - \frac{1}{4} - 3f(x)=−4(x 2 + 21 x+ 16 1 )− 41 −3
We factor the perfect square trinomial and simplify to get:
f(x) = - 4( {x + \frac{1}{4} )}^{2} - \frac{11}{4}f(x)=−4(x+ 41 ) 2 − 4 11
qual alllllllllllllllllllllll
I
7. The term "snowstorms of note" applies to all snowfalls over 6 inches. The snowfall amounts for
snowstorms of note in Utica, New York, over a four-year period are as follows:
7.1, 9.2, 8.0, 6.1, 14.4, 8.5, 6.1,6.8, 7.7,
21.5, 6.7, 9.0, 8.4, 7.0, 11.5, 14.1, 9.5, 8.6
What are the mean and population standard deviation for these data, to the nearest hundredth?
1) mean = 9.46; standard deviation = 3.74
3) mean = 9.45; standard deviation = 3.74
2) mean = 9.46; standard deviation = 3.85
4) mean = 9.45; standard deviation = 3.85
Answer: (1) mean = 9.46; standard deviation = 3.74
Step-by-step explanation:
What would it be? Little help plz
Please help worth 20 points
e is the the answer.....
I don’t know how to do this can someone help out
Answer:
Third side = 4
Step-by-step explanation:
Use Pythagoras theorem :
C = longer side, a = 10, b ?
[tex]c^2 = a^2 + b^2[/tex]
[tex](2 \sqrt{29})^2 = 10^2 + b^2\\\\4 \times 29 = 100 + b^2\\\\116 - 100 = b^2\\\\b^2 = 16 \\\\b = 4[/tex]
how to determine a polynomial expression
Answer:
hope this helps
Step-by-step explanation:
for an expression to be a polynomial term, it must contain no square roots of variables, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.
Answer:
For an expression to be in polynomial form , the following conditions must be met :
No square roots of variablesNo fractional or negative power on the variableNo variables in the denominator of any fraction.17.
Write the equation in standard form. Then factor the left side of the equation.
2x2 + 7x = 15
A. (2x – 3)(x + 5) = 0
B. (2x + 3)(x + 5) = 0
C. (2x + 5)(x – 3) = 0
D. (2x – 5)(x + 3) = 0
Find the missing side of the triangle. Round your answers to the nearest tenth if necessary.
9 ft
2.5 ft
9.4 ft
7.5 ft
Given:
In a right angle triangle, the measures of two legs are 5 ft and 5.6 ft. The measure of the hypotenuse is x.
To find:
The value of x.
Solution:
Pythagoras theorem: In a right angle triangle,
[tex](Hypotenuse)^2=(Base)^2+(Perpendicular)^2[/tex]
Using Pythagoras theorem, we get
[tex](x)^2=(5)^2+(5.6)^2[/tex]
[tex]x^2=25+31.36[/tex]
[tex]x^2=56.36[/tex]
Taking square root on both sides, we get
[tex]x=\sqrt{56.36}[/tex]
[tex]x=7.50733[/tex]
[tex]x\approx 7.5[/tex]
The measure of missing side is 7.5 ft. Therefore, the correct option is D.
Please help me! I need to get this done but don't know how!
The polynomial x³+5x²-57x-189 expresses the volume, in cubic inches, of a shipping box, and the width is (x+3) in. If the width of the box is 15 in., what are the other two dimensions?
a. height: 19 in.
depth: 5 in.
c. height: 19 in.
depth: 7 in.
b. height: 21 in.
depth: 5 in.
d. height: 21 in.
depth: 7 in.
Answer:
Step-by-step explanation:
your answer would be b
Quadrilateral QRST is inscribed in the circle. Find the measurements of each of the angles in Quadrilateral QRST. Show your work. (x-6) (x+12) (x-4)
Answer:
Given- O is the centre of a circle in which an equilateral ΔPQR has been inscribed.
To find out- ∠QOR=?
Solution- The points P, Q & R are on the circumference of the circle since ΔPQR has been inscribed in the circle. Now the chord QR subtends ∠QOR to the centre O and ∠QPR to the circumference at P.
∴ By rule, ∠QOR=2∠QPR.........(i).
Now PQR is an equilateral Δ. Each of its angle is 60
o
. i.e ∠QPR=60
o
.
So, from (i), ∠QOR=2∠QPR=2×60
o
=120
o
.
Ans- Option B.
solution
A marble is selected at random from a jar containing 3 red marbles, 4 yellow marbles, and 5 green marbles. What is the probability that the marble is yellow?
How many feet is it from goal line to goal line on a regulation football field
that is 100 yards long? It is measured in the
A. tens
B. thousands
C. millions
D. hundreds
Answer:
D. hundreds
Step-by-step explanation:
if a football field is 100 yards long then it is 300 feet long and that is in the hundreds
A rod 123.75 cm long is sawn into 16 equal lengths. If a wastage takes place of ¼ cm for each saw cut, what is the length of each piece?
Answer:
7.5 cm
Step-by-step explanation:
A rod 123.75 cm long is sawn into 16 equal lengths.
The length of each rod is calculated as:
123.75cm/16 =
= 7.734375cm
If a wastage takes place of ¼ cm for each saw cut,
The length of each piece is calculated as:
7.734375cm - 1/4 cm
7.734375cm − 0.25 cm
7.484375cm
Approximately = 7.5 cm
Therefore, the length of each piece = 7.5 cm
I really need help with b and c
Answer:
Step-by-step explanation:
I dont know which b and c you are talking about, so...
3) b) 8, c) 19
4) b) 10, c) 16
Hope its helps u
Thank You
Please mark as brainliest
Given the equation 5x + 23 = − 2x − 12, which order of operations completely solves for x?
Step-by-step explanation:
5x+2x=-12 -23
7x=-35
which will give you 1 over 5writing your answer in a standard form it helps you to get the answer easy and quickAnswer:
-5
Step-by-step explanation:
5x+23=-2x-12
5x-(-2x)+23=-12
5x+2x=-12-23
7x=-35
x=-35/7
x=-5
POR is a right-angled triangle.
13 cm
5 cm
12 cm
Work out the size of angle POR.
Give your answer correct to 1 decimal place.
+ +
1
Total marks: 3
Answer:
As 3-4-5 5-12-13 is a right triangle
5^2 + 12^2 = 25 * 144 = 169 = 13^2
Not sure how POR is designated, but
cos theta = 12/13 = .923 theta = 22.6 deg
sin theta = 5/13 = .385 theta = 22.6 deg
Me pueden ayudar con estos ejercicios porfa.
Step-by-step explanation:
a. 3x²+10x+8 = (3x+4)(x+2)
b. 4x²+21x-18 = (4x-3)(x+6)
c. 3x²+8x+5 = (3x+5)(x+1)
d. 6x²+5x-4 = (2x-1)(3x+4)
e. 15x⁴-23x²+4 =(5x²-1)(3x²-4)
f. 15x⁴+23x²+4 =(5x²+1)(3x²+4)
g. 6x²-7x-3 = (2x-3)(3x +1)
h. 6x²-43x+72 = (3x-8)(2x-9)
Three same-sized cubes are attached to the top of a rectangular prism as shown below.
If a=10 cm, b = 26 cm, and c = 6 cm, what is the surface area of the figure?
ANSWER ASAP PLEASE!!! IT WOULD MEAN ALOT
Answer:
Surface area of the figure = 1672 [tex]cm^{2}[/tex]
Step-by-step explanation:
Surface area of the figure = surface area of the prism + surface area of the 3 cubes
The surface area of the rectangular prism = sum of the area of its individual sides
= 2(26 x 10) + 2(10 x 10) + 2(26 x 10)
= 520 + 200 + 520
The surface area of the rectangular prism = 1240 [tex]cm^{2}[/tex]
Surface area of one of the cubes = 5(6 x 6)
= 180 [tex]cm^{2}[/tex]
The surface area of the 3 cubes = 3 x 180
= 540 [tex]cm^{2}[/tex]
Thus, the surfaces of the cubes on the prism covers a total area of 108 [tex]cm^{2}[/tex].
So that;
The surface area of the figure = (1240 - 108) + 540
= 1132 + 540
= 1672 [tex]cm^{2}[/tex]
Ranking brainliest if correct
Answer:
Hello! answer: 18
Step-by-step explanation:
AC = 27 DF = 9 those are both the bottom sides of the triangles so we can find AB with this info so... 27 ÷ 9 = 3 DE = 6 6 × 3 = 18 therefore AB = 18 hope that helps!
Solve the equation n3 = 8/125 for n n=______
Answer:
2/5
Step-by-step explanation:
if h(x)=x-7 and g(x)= x^2, which expression is equivalent to (goh)(5)
Answer:
(goh)(5) = 4
Step-by-step explanation:
(goh)(x) = g(x-7)
g(x-7) = (x-7)^2
g(x-7)= x^2 - 14x + 49
(goh) = x^2 - 14x + 49
(goh)(5) = 5^2 - 14(5) + 49
(goh)(5) = 25 - 70 + 49
(goh)(5) = 4
help appreciated !!!!!
Answer:
38.43 sales tax, 597.43 total price
Step-by-step explanation:
559x.06875=38.43 sales tax
559+38.43=597.43 total price
Which of the following is equivalent to 2a^7 + 5a^7?
Answer:
??????
I don't exactly see the following in your question srry :(
But I think it should be 2a^7 + 5a^7 = 7a^7
Answer:
(2+5)a^7
Step-by-step explanation:
i took the test hope this helps ^^
please help am stuck on this
write the set of positive even numbers that Is less than 15 using both the notations
Answer:
Let the set be X.
X = {x ∈ N : 2x < 15}
X = {2, 4 , 6 , 8 , 10, 12 , 14}
Logx-1(343)=3 solve for base x
Answer:
should be 8 !
Step-by-step explanation:
it just is
Which statement is true about every rectangular pyramid?
Each lateral face has an area less than the area of the base.
At least two of the lateral faces are congruent.
Each lateral face has the same height.
At least one of the faces has a whole number base or height.
Answer:
At least two of the lateral faces are congruent.
Step-by-step explanation:
Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.
hope this helps:)
Answer:
At least two of the lateral faces are congruent.
Step-by-step explanation:
Because the words "at least" are used this means that at a minimum 2 of the faces are congruent. Because the base is in the shape of a triangle, this will definitely be true.
hope this helps:)
Which of the following terms describes the measure indicated by the black
arrow below?
A. Range
O B. Mean
OC. Minimum
O D. Median
Plzzzz help
8 9 help me plsss free nitro
Answer:
8. 67 sure 100% so it will be A
9. I am not sure but the answer will be 100 or 120 so it will A or B
Good luck XD
Step-by-step explanation:
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary): 261. 256, 251.... Find the 50th term.
Answer:
50th term = 16
Step-by-step explanation:
Help me with this!!!
Answer:
4th answer
Step-by-step explanation:
g(h(x)) means to put the formula for h(x) into the formula for g( ).
[tex]g(h(x))=g(2x-2)=-3(2x-2)^3-2(2x-2)^2\\=-3(8x^3-24x^2+24x-8)-2(4x^2-8x+4)\\=-24x^3+72x^2-72x+24-8x^2+16x-8\\=-24x^3+64x^2-56x+16[/tex]
Cubing the binomial 2x - 2 can take some time!