According to the question, the function that has a factor of x - 7 is f(x) = x³ - 16x² + 53x+ 70
If x - a is a factor of a function f(x), then f(a) = 0
For x - 7 to be a factor of f(x), f(7) must be equal to zero.
For f(x) = x³ - 16x² + 53x+ 70
f(7) = 7³ - 16(7²) + 53(7) + 70
f(7) = 343 - 16(49) + 53(7) + 70
f(7) = 343 - 784 + 371 + 70
f(7) = 0
Since f(7) = 0 for f(x) = x³ - 16x² + 53x+ 70, x - 7 is a factor of f(x) = x³ - 16x² + 53x+ 70
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pleaseee somebody tell me the answer.
Answer:
aprx. 50.24 inches
Step-by-step explanation:
I hope this helps! :)
☁️☁️☁️☁️☁️☁️☁️
invests $8,000 in a savings plan that pays 5% per year. What will the account balance be at the end of the first year?
i need these answers quickly, all questions
Answer:
1.) R = 9 in
2.) R = 14.5 m
3.) D = 42 ft
4.) 26 mm
5.) 131.88 m
6.) 34.54 in
7.) 25.12 yd
8.) 28.26 mm
9.) 43.96 in
10.) 197.82 cm
11.) 263.76 cm
12.) 94.2 cm
13.) 97.34 m
14.) 138.16 cm
15.) 47.1 yd
16.) 285.74 cm
Step-by-step explanation:
2(pi)r... literally plugged in
ercises
GUIDED PRACTICE
Solve.
1. What percent of 100 is 25?
Answer:
25%
Step-by-step explanation:
finding for the percentage of 100 is extremely easy since 100 is the same as 100%, that makes 99 as 99%, 57 as 57%. so the answer is 25%
Need help on this please any one
Answer:
[tex] \sqrt{29} [/tex]
The data in the tables below were collected from first year students at a community college. The variable is "number of credit cards." If the table below is a complete probability distribution, what must be the value of T?
Number of Credit Cards (x) 0 1 2 3 4 5
Number of Students (f) 122 40 28 2 2 6
Probability P(x) 0.61 T 0.14 0.01 0.01 0.03
A. 0.4
B. 0.04
C. 0.2
D. 0.02
Solution :
It is given that P(x) is said to be complete or proper probability distribution if it satisfies the following two ways :
1. [tex]$P(x) \geq 0$[/tex]
2. [tex]$\sum_z P(x) = 1$[/tex]
Now consider,
[tex]$\sum_z P(x) = 1$[/tex]
⇒ [tex]$P(x=0)+P(x=1)+P(x=2)+P(x=3)+P(x=4)+P(x=5)=1$[/tex]
⇒ [tex]$0.61+T+0.14+0.01+0.01+0.03=1$[/tex]
⇒ [tex]$0.8+T=1$[/tex]
⇒ [tex]$T=1-0.8$[/tex]
= 0.2
Therefore, the value of T is 0.2
Thus, option (c) is correct.
Please help!
What is the value of x?
20. A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make at
combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Describe all possible solutions
Complete question :
A grocer sells mangos for $4 per pound and apples for $3 per pound. The grocer starts with
45 pounds of mangos and 50 pounds of apples each day. The grocer's goal is to make atleast $300 each day. What combinations of mangos and apples that could be sold to meet the goal. List two possible
combinations
Answer:
m = 45 ;a = 40
m = 45 ; a = 45
Step-by-step explanation:
Mangoes, m = $4
Apples, a = $3
Total :
45 pounds of mangoes
50 pounds of apple
4m + 3a ≥ 300
If m = 45
a = 40
4(45) + 3(40)
180 + 120 = 300
If m = 45 ; a = 45
4(45) + 3(45)
180 + 135 = 315
Hence, 2 possible combination :
m = 45 ;a = 40
m = 45 ; a = 45
For all possible solutions :
4m + 3a ≥ 300
Que es una ecuación cuadrática
Step-by-step explanation:
En álgebra, una ecuación cuadrática es cualquier ecuación que se puede reorganizar en forma estándar como ax ^ {2} + bx + c = 0 donde x representa una incógnita, y a, byc representan números conocidos, donde a ≠ 0. Si a = 0, entonces la ecuación es lineal, no cuadrática, ya que no hay término ax ^ 2.
Are these numbers rational or irrational?
0.328
√101 (square root of 101)
127.89
-89
Answer:
All rational
Step-by-step explanation:
rational = containing quantities that are expressible as a ratio of whole numbers
A circle fountain has a radius of 12 feet. What is the circumference of the fountain? Please explain your answer. Use 3.14 to solve.
Answer:
75.36 feet
Step-by-step explanation:
It’s in the attachment below!
which of the following expressions below represent the phrase 8 times a number w less three
Answer:
8w - 3
Step-by-step explanation:
Number "W" - variable
less - subtraction
The diagram shows as scale drawing of a playground
The scale of the drawing is 1:500
Answer:
45
Step-by-step explanation:
3+1.5+3+1.5=9
9*500=4500
4500/100=45
If 13 candy bars cost $19.76, how much do 20 candy bars cost?
Answer:
cost of one candy bar = 19.76/13
= $1.52
cost of 20 candy bars = 1.52x20
= $30.4
pls mark brainliest
3/4(1/6x+16)=3/7(4 3/8x-21) I WILL AWORD BRILLENEST :>
Answer:
x=12
Step-by-step explanation:
Let's solve your equation step-by-step.
34(16x+16)=37((438)(x)−21)
Step 1: Simplify both sides of the equation.
18x+12=158x−9
Step 2: Subtract 15/8x from both sides.
18x+12−158x=158x−9−158x
−74x+12=−9
Step 3: Subtract 12 from both sides.
−74x+12−12=−9−12
−74x=−21
Step 4: Multiply both sides by 4/(-7).
(4−7)*(−74x)=(4−7)*(−21)
x=12
Answer:
x=12
Answer:
x = 12
Step-by-step explanation:
34(16x + 16) = 37((438)(x) − 21)
18x + 12 = 158x − 9
18x + 12 − 158x = 158x − 9 − 158x
−74x + 12 = −9
−74x + 12 −12 = −9 −12
−74x = −21
(4−7) × (−74x) = (4−7) × (−21)
x = 12
Write an expression showing the sum of 8 and a number f.
Show Your Work
Answer:
8+f
Step-by-step explanation:
Assume that a watermelon dropped from a tall building falls y = 16t ^ 2 ft in t sec. Find the watermelon's average speed during the first 6 sec of fall
A)97 ft/sec
B)48
c)96
D 192
Answer:
A.) 96 ft/sec
Step-by-step explanation:
to find the average speed of the watermelon's fall in 6 seconds, substitute 6 as t in the equation and then divide by 6: [tex]y = \frac{16(6)^{2} }{6} = 96 ft/sec[/tex]
Khan academy Help please
Answer:
B, C and F
Step-by-step explanation:
A constant is where a variable or number is on its own
B - 2x-4 (4 is the constant)
C - 8x+y (y is the constant)
F - 7+4x (7 is the constant)
Sooooooooo......... I need help
Please solve this question
Answer:
Gud morning friend
Step-by-step explanation:
Sorry friend I don't know
Johnny and his father go fishing at 5:00 AM. After motoring 6 km upstream, Johnny writes a letter to his friend, puts the letter in a bottle and drops it into the river. the bottle floats in the current and reaches at 7 : 40 AM the point where Johnny and his father began the trip. If the speed of the boat in still water is 9 km/h, what is the speed of the river current?
Answer:
4.5
Step-by-step explanation:
Probably too late for your RSM homework, but here is the solution:
6/(9-x) [Time they motored upstream] +6/x [Time it took the bottle to get back to the starting point] = 8/3 [Total Time]
Simplify to 54/(x(9-x))=8/3
Cross multiply: 162=(8x)(9-x)
Simplify -x^2+9x=20.25
Multiply both sides by negative one and move 20.25 to the other side. x^2-9x+20.25=0
Solve and get 4.5 :D!
Math question 35 points please answer correctly
Answer:
B. Decreasing; The slope of the line between points D and E is negative
Step-by-step explanation:
The graph clearly shows that the speed is decreasing between these points. This narrows down your options to either Option B or Option D. A completely vertical line has a slope of undefined. The line is not completely vertical and undefined, so Option D is incorrect. This leaves B as correct. A negative slope is a line rising right to left.
Hope it helps!
rite an equation in standard form of the circle with the given properties.
Center at the origin; r = square root 6
Answer:
x² + y² = 6
Circle Center at the origin; r = square root 6
(x - 0)² + (y - 0)² = (✓6)²
x² + y² = 6
PLS HELP I WILL GIVE BRAINllESTFind the surface area of the rectangular prism.
2 mi
8 mi
1 mi
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
Jason is a salesmen at the store. He earns 8.50 per hour, plus a 10% commission on his total weekly sales over 1,000. Last week, Jason worked 18 hours and had total sales of 1,492. Which is the best estimate for the total amount of money Jason earned last week
please help......,..
Answer:
try 35?
Step-by-step explanation:
Chris and his friends are going to the ice cream shop
that having a sale on milkshakes. Each milkshake cost
$2.
Write an equation that represents buying any number
of milkshakes (m).
Help plz I will mark u Brainly
Answer:
2xm
Step-by-step explanation:
[tex]0.004 \times 0 .81[/tex]
Explain how to find 25%of 100 not just the answer explain how
Explanation on how to find:
.25 x 100
parallelograms help!!
Answer:
20 degrees
Step-by-step explanation:
Answer:
z = 36
Step-by-step explanation:
124 + 2z + 16 = 180
-16 -16
108 + 2z = 180
-108 -108
2z = 72
/2 /2
z = 36
