Answer:
The required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Step-by-step explanation:
Given the zeros
-4, -1, -3
Zeros can be written as:
x = -4, x = -1, x = -3
Finding the factors
x = -4
x +4 = 0
x = -1
x + 1 = 0
x = -3
x + 3 = 0
Thus, the factor are:
(x+4) (x+1) (x+3)
The original function can be computed by multiplying the factors
[tex]\left(x+4\right)\left(x+1\right)\left(x+3\right)=0[/tex]
as
[tex]\left(x+4\right)\left(x+1\right)=x^2+5x+4[/tex]
so the expression becomes
[tex]\left(x^2+5x+4\right)\left(x+3\right)=0[/tex]
Distribute parentheses
[tex]x^2x+x^2\cdot \:3+5xx+5x\cdot \:3+4x+4\cdot \:3=0[/tex]
[tex]x^2x+3x^2+5xx+5\cdot \:\:3x+4x+4\cdot \:\:3=0[/tex]
[tex]x^3+3x^2+5x^2+15x+4x+12=0[/tex]
Add similar elements: [tex]3x^2+5x^2=8x^2[/tex]
[tex]x^3+8x^2+15x+4x+12 = 0[/tex]
Add similar elements: [tex]15x+4x=19x[/tex]
[tex]x^3+8x^2+19x+12=0[/tex]
Thus, the required polynomial is:
[tex]f\left(x\right)=x^3+8x^2+19x+12[/tex]
Note: your answer choices are a little ambiguous, but I have explained the entire procedure. Hopefully, it will clear your concept.
While practicing her foul kicks for soccer, Louisa made 85% of her shots. If she made 51 shots, how many shots did she kick in total?
Answer:
the exact answer is 58.65
Step-by-step explanation:
since she made 85% of her shots, that means in total from her 51 shots, she made 115% more than 51 (you add 15% to 100%). The 15% is from the difference of 100% and 85%. You then change 115% to fraction form (1.15) and multiply it by the amount of shots made, getting you 58.65. Since you can't make a fraction in terms of a real life scenario like this, you prob need to round or something. Diff teachers want diff things
Please show work(15 points)
a map of Connecticut is drawn to a scale where 2 inches on the map represents 35 miles. if Greenwich and Stonington are 105 miles from each other how far apart do they appear on the map
Answer: 6 inches
Step-by-step explanation:
2 inches = 35 miles, so, 105 divided by 35 which is three, then 3 x 2 = 6
you're welcome
Which of the following can be used to prove that triangle ABC is congruent to triangle DEF?
Answer:
SAS congruence theorem
Step-by-step explanation:
since we are given the two congruent sides and the right angle. We know all right angles are congruent and the right angle is an angle that is between the two sides which is why it is SAS. hope this helps :))
What is 3,348 rounded to the nearest hundred?
Answer:
3,300
Step-by-step explanation:
Answer:
3, 348 rounded to the nearest hundred is 3, 300.
Step-by-step explanation:
Let's have a look at the hundreds place. The number "3" is in the hundreds place, which has the value 300 since 3*100 = 300. What is the number next to the three in the hundreds place? Well, it is 4, which has the value of 40 since 4*10 = 40.
Remember, 4 or less, let it rest (this means keep the number and make the other numbers after it into zeroes).
5 or more, let it soar (this means to add one to the number and make the other numbers after it into zeroes).
Sue wakes up at 7:45 A.M. and jogs for 40 minutes. She then spends 45 minutes dressing for school before she catches the bus. At what time does Sue get on the bus?
Answer:
9:00
Step-by-step explanation:
find the mean median and mode of the data set :15,11,14,10,12,15,15
Answer:
Mean = 13.14, Median = 14, Mode = 15
Step-by-step explanation:
The mean is the numbers added together divided by the number of numbers
15 + 11 + 14 + 10 + 12 + 15 + 15 = 92
92 / 7 = About 13.14
The median is the middle of the numbers ordered from least to greatest
10 11 12 14 15 15 15
14 is in the middle so that is the median.
The mode is the number showing up the most.
15 shows up 3 times so it is the mode.
Given f(x) = -x +6, Evaluate f(x) for X= -1 and 3 and 5
Range:
Answer:
f(x) for x = -1 is -1+6= 5
f(x) for x = 3 is -3+6= 3
f(x) for x = 5 is -5+6= 1
Help! I need help asap
Answer:
3 looks right but I am not so sure
Step-by-step explanation:
sorry if i am wring
QUICK HELP I NEED TO ANSWER THIS QUESTION
WHO ASKED???
Answer:
Lol
Step-by-step explanation:
The ruler below shows a 7-inch segment divided into 2 equal parts. What is the length of one of those parts?
Answer:
3.5
Step-by-step explanation:
7/3= 3.5 or 3 1/2
45 WZ is parallel to XY,
SW = 15, WX = 5, SZ =12, WZ= 9 Find XY
S
I
W
Z
Х
Y
Step-by-step explanation:
wz parallel to XYXYS similar WZSXY/WZ=XS/SWXY/9=20/15XY=12Can anybody help me with this plzzz‼️
(If answer is correct i will cashapp you $6)
Step-by-step explanation:
h(x) = 3. g(x) + 5
x= -1 h(x) = 3×8 + 5= 29
x= 0h(x) = 3×5 + 5= 20
x= 2 h(x) = 3×1 + 5= 8
x= 5 h(x) = 3×-5 + 5= -10
[tex]h(x) = 3*g(x)+5[/tex]
When x = -1.
Substitute x = -1 in both h(x) and g(x). | As shown in the table, when x = -1, g(x) = 8 |
h(-1) = 3*8+5 = 24+5 = 29
h(0) = 3*5+5 = 15+5 = 20
h(2) = 3*1+5 = 3+5 = 8
h(5) = 3*(-5)+5 = -15+5 = -10
may you plz help this is due today plz i will mark you brainlist
Answer:
1 whole numbers: 15 134 -18 rational numbers:-1/3 2.4: 2 0.09, 1/9 9/10 91%: 10.5 5/4 1 1/5 100%
Step-by-step explanation:
A crew of highway workers paved 13 mile in 14 hour. If they work at the same rate, how much will they pave in one hour?
Answer:
Step-by-step explanation:
in one hour if i am correct they will pave 0.928 or 0.930 miles
Shauna is making accessories for the soccer team. She uses 888.69 inches of fabric on headbands for 29 players and 4 coaches. She also uses 246.79 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?
Step-by-step explanation:
Headband-23.665 inches
wristband-8.51 inches
Which graph represents y = StartRoot x EndRoot?
Answer:
b
Step-by-step explanation:
e2021
Answer:
Which graph represents y = [tex]\sqrt{x}[/tex]
Step-by-step explanation:
Answer B Edge 2022
Find the average rate of change of the function f(x)=(3/-3x-5), on the interval x ∈ [0,3]
Answer:
9/70
Step-by-step explanation:
Mathematically;
Average rate of change on an interval [a,b] is;
f(b) - f(a)/b-a
f(0) = -3/5
f(3) = -3/14
a = 0
b = 3
Making the substitution, we have
-3/14-(-3/5)/3-0
= 3/5-3/14/3
= (42-15)/70/3
= 27/70/3
= 27/70 * 1/3 = 9/70
Solve Each Equation
5. -8(5+4x)=-232
6. -84=4(4r+7)
Step-by-step explanation:
5.[tex] - 8(5 + 4x) = - 232[/tex]
[tex] - 40 - 32x = - 232 \\ - 32x = - 232 + 40 \\ - 32x = - 192 \\ \frac{ - 32x}{ - 32} = \frac{ - 192}{ - 32} \\ \\ \huge x = 6[/tex]
6.[tex] - 84 = 4(4r + 7) \\ - 84 = 16r + 28 \\ 16r = - 84 - 28 \\ 16r = - 112 \\ \frac{16r}{16} = - \frac{112}{16} \\ \\ \huge r = 7[/tex]
Hope this helps you
Howie wants to get a $250 loan with a simple interest rate of 4%.
Which expression can be used to find the TOTAL amount that must be repaid on this loan?
1Points
A
250 + 4%
B
250 x 0.04
C
(.04 x 250) + 250
Answer:
w
Step-by-step explanation:
a
Which expressions are equivalent to 3.64? Check all that apply. 1 36.4 + 10 36.4 x 10 0 0.0364 x 100 [(3 x 1) + (6 x 0.1) + (4 x 0.01)] x 100 O (3 x 1) + (6 * 0.1) + (4 0.01)
Answer:
0.0364 × 100
and
[(3×1)+(6×0.1)+(4×0.01)
2. (05.02 LC) Which equation does the graph below represent? (5 polnts) 8 2 .2 O y = 2x Y = 2 x y = 2 + x
Answer:
b
Step-by-step explanation:
1, 6, 36, 216, ...
Find the 10th term in the sequence using the explicit formula.
2(x-5)=10 but the pemdas is backwards
Answer:
2 (x-5) = 10
2x-10 = 10
2x = 10 + 10
x = 20/2
x = 10
Step-by-step explanation:
Can someone pls answer these if someone gives me a step by step answer gets brainliest and 100pts
Quadrilateral ABCD has been dilated by a scale factor of -5/3, Quadrilateral A'B'C'D' is an enlargement of the pre-image.
Question 17 options:
True
False
Question 18 (5 points)
Quadrilateral MNPQ has been dilated by a scale factor of 1/2, Quadrilateral M'N'P'Q' is an enlargement of the pre-image.
Question 18 options:
True
False
9514 1404 393
Answer:
17. True
18. False
Step-by-step explanation:
A dilation will be an enlargement when the magnitude of the scale factor is greater than 1.
__
17. The magnitude of the scale factor is 1 2/3, a value greater than 1. The dilation is an enlargement (True).
__
18. The magnitude of the scale factor is 1/2, a value less than 1. The dilation is not an enlargement. The statement is False.
Please please help if possible I love you thank you so much!!!❤️❤️❤️ due really soon
Step-by-step explanation:
There is no question here
Answer: Help with what? You forgot to link your question
Step-by-step explanation:
plz help me put this from least to greatest
Answer:
0.09
1/9
9/10
91%
there is the answer hope it helps!!!
A. 1
B. .5
C. .55
D. .10
E. 1.10
Answer:
E
Step-by-step explanation:
The onlt one that makes sense
if 0<0<90, is sin 0 equal to cos (90-0) and for what reason
Answer:
When the angle becomes zero, then the base becomes 0, and the perpendicular and the hypotenuse becomes the same line. Since in cos 90, base is 0, therefore therefore cos 90 is zero
Step-by-step explanation:
BRAINLIEST BRAINLIEST
please answer thank you
Answer:
y + x = 7
Step-by-step explanation:
Standard form should be
y - 9 = -(x+2)
y = -x -2 +9
y + x = 7
Answer:
y + x = 7
Step-by-step explanation:
hope that helps :)
could you mark my answer as brainliest ? :)
Determine the solution for the system of equations: y = -2x + 1 3x - 2y = 5 A. (1, -1) B. (-1, 1) C. (-1, 0) D. No Solution
Answer:
Step-by-step explanation: d