9514 1404 393
Answer:
(b) -36
Step-by-step explanation:
Synthetic division is often performed using a table of the kind shown in the attachment. The coefficients of f(x) are placed across the top, and the x-value to be evaluated is placed at the left. The rule for finding table entries is shown. (The first (left-most) number at the bottom is the leading coefficient of the polynomial.)
This table shows the remainder, which is f(-2), is -36.
__
The equation itself can be rewritten in "Horner form" to facilitate evaluation.
f(x) = (((-x +2)x -1)x +4)x +8
In this form, substituting for x and doing the evaluation is easier for mental arithmetic. You will notice that the contents of parentheses at each level match the bottom line of the synthetic division table.
f(-2) = (((-(-2) +2)(-2) -1)(-2) +4)(-2) +8
= (((4)(-2) -1)(-2) +4)(-2) +8
= ((-9)(-2) +4)(-2) +8
= (22)(-2) +8
= -36
f(-2) = -36 . . . . remainder from synthetic substitution
Find the measure of angle x?
Answer:
x = 43 degrees
Step-by-step explanation:
First, you have to see that there is a right angle of 90 degrees. Since that is there, you know that there is 90 degrees in the bottom and right side as well. So all you do in this question is do 90 - 47 to get your answer of 43 degrees.
The graph of a function f is shown below. Find f(-1).
In terms of it, how much longer is the crust on a pizza with a radius of 10 in, than the crust of a pizza with a radius
of 5 in.?
Answer:
10
Step-by-step explanation:
10-5
Answer:
10
Step-by-step explanation:
Evan is going to invest in an account paying an interest rate of 6.1% compounded continuously. How much would Evan need to invest, to the nearest ten dollars, for the value of the account to reach $67,000 in 7 years?
Answer:
43720
Step-by-step explanation:
It was right on delta math
what does x= in each of the questions
Answer:
x+35/5=2
x+35=10
x=-25
Answer:
[tex]\frac{1}{5} x[/tex]+7=2, x=-25
[tex]\frac{m}{7} -7=3[/tex], m= 105
[tex]\frac{3}{5} x+7=-20, x= -45[/tex]
[tex]-\frac{2}{7} t+5=17, t=-42[/tex]
4.9x+4.2=9.1, x=1
Explanation for last two:
[tex]-\frac{2}{7}t+5=17[/tex]
Step 1: Subtract 5 from both sides.
[tex]\frac{-2}{7} t+5-5=17-5[/tex]
[tex]\frac{-2}{7} t=12[/tex]
Step 2: Multiply both sides by 7/(-2).
[tex](\frac{7}{-2} )*( \frac{-2}{7}t )= (\frac{7}{-2} )*(12)[/tex]
t=−42
4.9x+4.2=9.1
Step 1: Subtract 4.2 from both sides.
4.9x+4.2−4.2=9.1−4.2
4.9x=4.9
Step 2: Divide both sides by 4.9.
[tex]\frac{4.9x}{4.9} \frac{4.9}{4.9}[/tex]
x=1
Anna is in a cave 50 feet below the cave entrance. She descends 12 feet, then ascends 15 feet. Find her new position relative to the cave entrance. Anna's new position relative to the cave entrance is feet
Answer:
53
Step-by-step explanation:
50 - 12 = 38
38 + 15 = 53
help please, find the value of x
Answer:
1. 12.20
2.8.9
3.31.4
4.13.9
5. 21.93
6. some of it is cut off.
Step-by-step explanation:
a^2+b^2=c^2
in triangle ABC, AB//QR and AP:PB=BR:TC.with reasons ,prove that PQ//BC
I NEED TEST ANSWER FAST 12 pounds 4 ounces minus 8 pounds 11 ounces without decimal
Answer:
3 pounds 9 ounces
Step-by-step explanation:
A father left 280 acres of land to be divided among his sons Al and Bob in the ratio 4:3, respectively. How many acres should Al receive?
Answer:
160 acres
Step-by-step explanation:
Given data
Total Amount of land= 280 Acres
Ratio=4:3
Total part = 4+3= 7
Applying the part to all method
let AI receive x acres
Then
4/7= x/280
cross multiply
7x= 280*4
7x=1120
x= 1120/7
x= 160
Hence AI will receive 160 acres
Divide both the numerator and the denominator of 25/30 by 5 to write an equivalent fraction,
Answer: 5/6
Step-by-step explanation:
25/30(5/5)
5/6(1/1)
(5/1)(6/1)
=5/6
NEED HELP ASAP!!!
If a five on a dice is rolled 10 times within 50 rolls, how many times would you roll a five if you rolled the dice 300 times?
Answer:
60
Step-by-step explanation:
There are two ways to check that I know.
First way:
Double 50, 10 automatically doubles too.
50x2=100
10x2=20
Then we can multiply the 100 by to equal 300, the 20 also automatically multiplies to equal 60.
100x3=300
20x3=60
Second way:
10 is 20% of 50 we can find that bu multiplying 20% and 50, like this:
20%x50= 10
To find out the answer if the 5 was changed to a 300 we would have to multiply 20% of 300.
20%x300= 60
We've looked at two ways to solve this problem and both ways equal 60. So, therefore, the answer for this question is 60.
I really need help with this!!
Answer:
x = 4
y = 3.5
Step-by-step explanation:
The parallelogram given has opposite sides that are equal in length. Therefore, the diagonals bisect each other into two equal parts respectively.
Thus:
2y = 7
Divide both sides by 2
y = 7/2
y = 3.5
Also,
x + 6 = 10
Subtract 6 from each side
x = 10 - 6
x = 4
The Jefferson Valley Bank once had a separate customer waiting line at each teller window, but it now has a single waiting line that feeds the teller windows as vacancies occur. The standard deviation of customer waiting times with the old multiple-line configuration was 1.8 min. Listed below is a simple random sample of waiting times (minutes) with the single waiting line. Use a 0.05 significance level to test the claim that with a single waiting line, the waiting times have a standard deviation less than 1.8 min. What improvement occurred when banks changed from multiple waiting lines to a single waiting line?
Answer:
There will be sufficient evidence to conclude. A further explanation is provided below.
Step-by-step explanation:
The given values are:
[tex]\sigma=1.8[/tex]
[tex]\alpha=0.05[/tex]
[tex]n=10[/tex]
As we know,
[tex]\bar{x}=\frac{\Sigma x_i}{n}[/tex]
[tex]=\frac{71.5}{10}[/tex]
[tex]=7.15[/tex]
The standard deviation will be:
⇒ [tex]s=\sqrt{\frac{1}{n-1} \Sigma(x_i- \bar{x})^2 }[/tex]
On substituting the values, we get
⇒ [tex]=\sqrt{\frac{1}{10-1} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]
⇒ [tex]=\sqrt{\frac{1}{9} [(6.5-7.15)^2+...(7.7-7.15)^2]}[/tex]
⇒ [tex]=0.477[/tex]
According to the question,
Hypotheses:
[tex]H_o: \sigma=1.8[/tex]
[tex]H_a: \sigma<1.8[/tex]
The test statistic will be:
⇒ [tex]X^2=\frac{(n-1)s^2}{\sigma^2}[/tex]
⇒ [tex]=\frac{(10-1)\times 0.477^2}{1.8^2}[/tex]
⇒ [tex]=\frac{2.0477}{3.24}[/tex]
⇒ [tex]=0.632[/tex]
Thus the above is the correct response.
SOMEONE PLEASE HELP ME WITH THIS ILL GIVE YOU Brainly!!!!! ONLY IF ITS RIGHT
Answer:
B. 467
A yellow ball will be selected about 467 times.
What is the slope and y-intercept of the equation, y=3x+10?
Cuánto es = 6 2/3 - 1 3/4 ?
Answer:
4.9 so 5
Step-by-step explanation:
Can you guys please help
Answer:
The length (which is the bottom and top lines) are both 9 inches long.
Step-by-step explanation:
To find the perimeter with only one given measurement and the total perimeter, first you need to double the given value. In this case it is 6 so 6 x 2 = 12. After that you need to find the rest of the sides so you can do 30 - 12 = x, or 12 + x = 30. As a total the answer is 18. Finally you divide 18 by two because there is two sides and you get 9.
How many cups are in 1 quart?
correct=brainliest
Answer: 1 quart = 4 cups or 2 pints
Elda Abraha
Onit Rate, Reasoning Down
Mar 28,9:58:57 PM
Lydia drove 144 miles in 6 hours. If she drove at a constant rate, how far did she
travel each hour?
Answer: 24 miles
Step-by-step explanation:
If 6 hours = 144 miles
1 hour = ?
(cross multiplication)
= 144/6
=24
Use the distibutive property to simplify the expression 3(4x + 9)
4x + 27
12x +27
7x + 12
Answer:
=48x2^+3097x+12
Step-by-step explanation:
3(4x+9)(4)x+2712x+277x+12
Distribute:
=48x2+108x+2712x+277x+12
Combine Like Terms:
=48x2+108x+2712x+277x+12
=(48x2)+(108x+2712x+277x)+(12)
=48x2+3097x+12
Answer:
Hello~
12x+3×9
12x + 27
Ary~
number five pls solve it
Will give brainliest 30 points
There are 7 pink beads and 21 purple beads on Emma's necklace. What is the ratio of the number of purple beads to the number of pink beads?
A 21:28
B 7:28
C 7:21
D 21:7
Please tell me the correct answer. Will give brailliest
Answer:
B.
Step-by-step explanation:
as for my answer please correct if im wrong
Which equation is represented by the graph below?
y=e+5
y=e+4
y = In X+4
Solve f(x)=-(x+1)^2+2
Answer:
y=−x^2−2x+1
Step-by-step explanation:
When solving (5/3)^-2 What do you do first?
Answer:
steps:
(5/3)^-21 / (5/3)² (first turn the negative exponent to positive)1 × 3²/5² (division by a fraction turned to multiplication by the multiplicative inverse of (5/3)²)3²/5²9/25Solve for the nearest tenth
Solve for the missing side
Answer:
[tex]\Huge\boxed{x=11.8}[/tex]
Step-by-step explanation:
Hello There
cos = adjacent divided by hypotenuse
the adjacent side of the angle that has a measure of 49 is x and the hypotenuse is 18
so
[tex]cos49=\frac{x}{18}[/tex]
once again we want to isolate the variable using inverse operations
to get rid of the 18 we multiply each side by 18
[tex]\frac{x}{18} *=x\\cos49*18=18cos49[/tex]
we're left with
[tex]x=18cos49[/tex]
now we let the calculator do the rest of the work
we end up with
[tex]x=11.80906252[/tex]
our final step would be to round to the nearest tenth
so we can conclude that the x = 11.8
Their are 2 ppl in front of me shot 1 how many are left
Answer:
1
Step-by-step explanation:
hi please help i’ll give brainliest please
Answer:
x = 7
Step-by-step explanation:
x + 8 = 15
7 + 8 = 15
15 = 15
LHS = RHS
Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram. Each time the spinner lands on white, she will win a prize. If she spins this wheel twice, what is the probability she will win a prize on both spins? Please show all steps!
Answer:
[tex] \frac{4}{64} [/tex]
Step-by-step explanation:
The spinner is independent (the total won't be effected)
we know there is 2 whites with 8 coloured option.
[tex] \frac{2}{8} [/tex]
we want the probability of getting two whites.
[tex] \frac{2}{8} \times \frac{2}{8} = \frac{4}{64} [/tex]
there is 3 ways to work out probability, fraction, decimal and percentage (i'd personally say fraction is the most easiest)
The probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
Keisha is playing a game using a wheel divided into eight equal sectors, as shown in the diagram.
Each time the spinner lands on white, she will win a prize. If she spins this wheel twice,
Here, the white is appeared twice in the wheel and the total number of sector in wheel are 8. Thus the probability of first time to come white in the spin is,
[tex]P=\dfrac{2}{8}\\P=\dfrac{1}{4}[/tex]
The conditions are same for the second case. For this case, both result of both the spins of wheel are independent of each other.
Thus, by the chain rule, the probability both spin as white sector appear is,
[tex]P=\dfrac{1}{4}\times\dfrac{1}{4}\\P=\dfrac{1}{16}[/tex]
Thus, the probability of Keisha to win a prize on both spins in a game of wheel which is divided in eight equal sectors is 1/16.
Learn more about the probability here;
https://brainly.com/question/24756209