5
Select the correct answer.
if(t + 4) is a factor of polynomial p, which statement must be true?
OA. p(4)
0
B. p(4) < 0
OC. P(-4) = 0
OD. p(-4) > 0
What’s the answer
Answer:
[tex]p(-4) = 0[/tex]
Step-by-step explanation:
Given
[tex]Polynomial: p[/tex]
[tex]Factor: (t + 4)[/tex]
Required
Which statement is true
First we need to equate t + 4 to 0; then solve for t
[tex]t + 4 = 0\\[/tex]
[tex]t = 0 - 4[/tex]
[tex]t = -4[/tex]
Represent the polynomial as a function of t:
[tex]p(t) = 0[/tex]
Substitute -4 for t
[tex]p(-4) = 0[/tex]
The sum of three integers is 228. The second integer is 1 more than the first, and the third integer is 2 more than the first. Write an equation to determine the integers. Solve your equation. Show your work
Answer:
x=75
Step-by-step explanation:
first no.=x
second no.=x+1
third no.=x+2
now,
or,
x+x+1+x+2=228
or,
3x+3=228
or,
3x=228-3
or,
x=225/3
x=75 ans
The average of four numbers is 26.
Three of these numbers are 20, 42
and 16. What is the fourth number?
Answer: 26!!
Step-by-step explanation: the average is like the mean which is all 4 numbers added together divided by 4. 26 times 4 is 104. 20 +42+16 = 78. 104 - 78 is 26 so the 4th number is 26. you can check the work by adding 20 42 16 and 26 together which equals 104. 104 divided by 4 is 26!! so our answer is correct!!
The perimeter of a rhombus is 40 cm and the length of one of its diagonals is 12 cm then the length of the other diagonal is
Answer:
16 cms.
Step-by-step explanation:
The length of each side = 40 / 4 = 10 cm (as the 4 sides of a rhombus are congruent).
If we draw the other diagonal we form 4 right angled triangles (another property of the rhombus - diagonals bisect each other at tight angles. ).
The side of the rhombus is the hypotenuse of the right triangle.
So if we consider one triangle:
10^2 = 6^2 + x^2 where x is half the length of the other diagonal.
x^2 = 10^2 - 6^2
x^2 = 100 - 36 = 64
x = 8 cm.
So the diagonal is 16 cms long.
Question 2 : There are 40 students in Mrs. Jackson's class, and
1/4 of the class has their own cell phone. Of this group of
students, 1/2 of them are allowed to use social media. How many
of the students have a cell phone and can use social media?
Answer:
5
Step-by-step explanation:
First find the number that have their own cell phone
1/4 * 40 = 10
There are 10 students with their own cell phone
1/2 of the 10 can use social media
1/2 * 10 =5
5 have their own cell phone and can use social media
Answer: 10 students have a cell phone and only 5 of them can use social media
Step-by-step explanation: We see there are 40 students in total and 1/4 OF the class have their own cell phone. The OF means multiplacation so we do 40 X 1/4 which is 10 students who have their cellphone. We then again see 1/2 OF the 10 students can use social media meaning we do 10 X 1/2 which is equal to 5 students out of the 10 can use social media.
aey sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called
Answer:
See below
Step-by-step explanation:
A sample consisting of a portion of the population that is not scientifically drawn but instead collected because it easy to access is called ...
accidental sampleor grab sampleor convenience sample or opportunity sampleAll above refer to same method
Describe what is means for slope to be a ratio
Answer:The slope of a line is the ratio of the 'change' in y to the 'change' in x (ratio of vertical change to horizontal change) often referred to as rise compared to run. .
Step-by-step explanation: heart it up
whats the answer of 23,869 in long division
----------
038 -38-------------
08 -8----------
90 -90TOTAL ANS; 1194.45THE REASON WHY THE 9 TURNED INTO 90 WAS BECAUSE: 9 CAN NOT BE DIVISIBLE BY TWO SO I HAD TO ADD A 0 AND REPLACE THE symbol (.)IN THE ANSWER.I HOPE IT HELPED YOU.DON'T HESITATE TO ASK FOR FURTHUR EXPLANATION.HELP ME FIND HIM (MY LOST LOVE).THANK YOU.# THE BEAUTIFUL EMPRESS!!
a sidewalk is 5ft wide, 6in deep, and 220 ft long. how many cubic yards of concrete are needed to fill it?
Answer:
1100/54 yds
Step-by-step explanation:
First convert inches and feet to yards
[3 ft = 1 yd, 12in = 1yd]
5ft = 1 2/3 yds
6in = 1/6 yds
220ft = 73 1/3 yds
Now use the volume formula,
b*w*h = A
[1 2/3] * [1/6] * [73 1/3]
= [5/3] * [1/6] * [220/3]
= [5/18] * [220/3]
= 1100/54 yds
What is the value of the correlation coefficient r of the data set?
You might have already done this now, but the answer is
0.84
I just finished the Quiz :)
Janelle earned $253.75 for 5 days of work. how do I find her unit rate of pay?
Answer:
50.75
Step-by-step explanation:
253.75/5
Regina, Phil and Joseph each wrote expressions to represent their hourly earnings for an after-school job where h represents the number of hours worked. Regina: 6.50h + 16 Phil: 3(2.5h + 5) Joseph: 7.50h + 10 How many hours will Regina and joseph have to work in order to make the same amount of money in one week? Show your work.
Answer:
Duration = 6 hours
Step-by-step explanation:
Given
[tex]Regina: 6.50h + 16[/tex]
[tex]Phil: 3(2.5h + 5)[/tex]
[tex]Joseph: 7.50h + 10[/tex]
Required
When will Ragina and Joseph earn equal amounts
To solve this:
[tex]Regina = Joseph[/tex] must be true
This gives:
[tex]6.50h + 16 = 7.50h + 10[/tex]
Collect Like Terms
[tex]7.50h - 6.50h = 16 - 10[/tex]
[tex]h = 6[/tex]
Hence, number of hours is 6
The product of 79 and -0.22 is a positive number. True Or False
Answer:
False
Step-by-step explanation:
We know that this statement is false because a positive number times a negative number will produce a negative answer.
Answer:
False
Step-by-step explanation:
You will get a positive number only by multiplying two positive numbers or two negative numbers.
Look at the incomplete multiplication problem below. 632x28
5600
+[?]
What value is missing?
A)11,376
B)12,540
C)12.640
D)18,328
What is the solution of the equation 8x^3 = -64?
Answer:
[tex]x=-2[/tex]
Step-by-step explanation:
[tex]8x^3=-64[/tex]
Divide both sides by 8:
[tex]\frac{8x^3}{8}=\frac{-64}{8}[/tex]
[tex]x^3=-8[/tex]
Cube root both sides:
[tex]\sqrt[3]{x^3} =\sqrt[3]{-8}[/tex]
[tex]x=-2[/tex]
100 POINTS!! ASAP - Pls show all the WORK
Answer:
Solution: cot(52°)
Step-by-step explanation:
Remember that the cofunction of angle theta say, is the trigonometric complement of the angle. It represents the relationship between trigonometric functions. In this case you can use the formula:
tan(θ) = cot(90° - θ)
If we plug in '38 degrees' in replacement of 'theta' we can solve for tan(38) in terms of cot. Let's see what our solution is:
tan(38°) = cot(90° - 38°),
tan(38°) = cot(52°)
Therefore the cofunction with the same value as tan(38°) would be cot(52°). Remember this is only one example of it's 'cofunction.'
Answer:
cot(52)
Step-by-step explanation:
cofunction of tan (38)
The cofunction of and angle Ф is the trigonometric complement of an angle.
it shows the relationship between trigonometric functions as:
list the cofunction formula for tan
tan(Ф) = cot(90° - Ф)
plugin Ф = 38 into the formula:
tan (38) = cot(cot(90° - 38)
tan(38 = cot(52)
Find the sum. 4.88 * 1.6
Answer: 7.808.
Take the 2 values and multiply them together using the digits
Given: f = {(0, 1), (2, 4), (4, 6), (6, 8)} and g = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} Complete the ordered pair below for the function shown.
f(x)
-----
g(x)
(4,__)
6/7
1
7/6
=======================================================
Explanation:
The given ordered pair is (4, ___) so we have x = 4 here.
We will plug this into f(x) and g(x) to get
f(4) = 6
g(4) = 7
So we have [tex]\frac{f(4)}{g(4)} = \frac{6}{7}[/tex]
-----------
If you're curious where f(4) = 6 came from, all we're doing is looking through the set of points
f = {(0, 1), (2, 4), (4, 6), (6, 8)}
to see which has 4 listed first as the x coordinate. That point is (4,6) so x = 4 leads to y = 6, ie, f(x) = 6 when x = 4. A similar situation happens with g(x) as well.
−3 ( −3b + 5 ) + 9 ( 7b + 5
Answer:
72b+30
Step-by-step explanation:
Assuming that the other parentheses is after the 5 and not after 7b:
-3(-3b+5)+9(7b+5)
9b-15+63b+45
72b+30
Which number(s) below belong to the solution set of the inequality? Check all
that apply
5x 2>= 145
A. 31
B. 10
C. 55
D. 11
E. 29
F. 8
Answer: 29 for shure
Step-by-step explanation:
I got it on mine
Express the ratio DE/AB in simplest form
How would you write odds in favor?
Answer: Odds in favor = Number of successes: Number of failures
Step-by-step explanation:
Example
A jewelry box contains 5 white pearl, 2 gold rings and 6 silver rings. What are the odds of drawing a white pearl from the jewelry box?
Number of successes = 5
Number of failures = 2 + 6 = 8
Numbers of ways to draw a white pearl: number of ways to draw another jewelry.
5:8
The odds are 5:8
One number is 19 larger than the other, and the sum of these numbers is 97. What is the larger number? Plz help asap
Answer:
58
Step-by-step explanation:
I have attached an image with this answer that will help you to visualise this question. I will now explain it.
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
[tex]97+19=116[/tex]
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
[tex]116\div2=58[/tex]
Answer:
58
Step-by-step explanation:
The smaller number (Number 1) has 1 unit.
The bigger number (Number 2) has 1 unit, and 19.
If you add 19 to the smaller number, you will make two of the bigger number.
This is equivalent to two of the bigger number. (Try to visualise it!)
Hence, divide it by 2 to get one of the bigger number.
Jamie has 175 in her savings account every year 75 is added to her account tanner has 50 in his savings account every year 100 is added to his account and how many do you have a
Directions: Find the number of hours worked each day.
Answer:
From my calculations it should be 9 hours
HELP !! Find the x with the details in this picture^^
Answer:
x = 3.9
Step-by-step explanation:
So the whole angle PQS = 111 degrees
it gave you part of it so subtract that off . 111 - 72 = 39 degrees
10 times what equals about 39 degrees.
39/ 10 = 3.9
Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?
Answer:
23 is your answer hope this helps
Answer:
The number is 23
Step-by-step explanation:
23*2=46
46-6=40
40/2=20
The answer is 23
Hope that helps!
Factor by grouping
ab + 7a + 4b + 28
Answer:
(b + 7)(a + 4)
Step-by-step explanation:
ab + 7a + 4b + 28
separate the polynomial into 2 sections
(ab + 7a) (+ 4b + 28)
simplify each expression
a(b + 7)
4(b + 7)
you see that you have (b + 7) in both expressions. take that aside.
(b + 7)
you are left with a and positive 4. put these two together
(a + 4)
now put the expressions together
(b + 7)(a + 4)
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(b + 7)(a + 4)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ab + 7a + 4b + 28}[/tex]
Take a common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4b + 28}}[/tex]
Take 4 common
[tex] \dashrightarrow{ \sf{a(b + 7) + 4(b + 7)}}[/tex]
Take ( b + 7 ) common
[tex] \dashrightarrow{ \sf{(b + 7)(a + 4)}}[/tex]
Hope I helped!
Best regards! :D
David is flying from Hong Kong to Buenos Aires. The total flight distance is 11,472 miles. If the plane has 7,793 miles left to travel, how far has it already traveled?
Set V is all the unique three-digit numbers using the digits 1, 2, 3, 4, and 5. Which set would be considered a subset of set V? Set W is all the unique three-digit numbers using the digits 1, 3, and 5. Set X is all the unique three-digit numbers using the digits 2, 4, and 6. Set Y is all the unique three-digit numbers using the digits 0, 2, and 4. Set Z is all the unique three-digit numbers using the digits 3, 5, and 7.
Answer: Choice A) Set W is all the unique three-digit numbers using the digits 1, 3, and 5
==========================================================
Explanation:
The original set uses the digits {1,2,3,4,5}. We can only use those digits. Nothing else. So that means we can't use 0, 2, 4, 6, or 7. This rules out choices B through D.
Only choice A is left. This answer choice involves 1,3 and 5 which is the correct subset of digits to use.
--------
Put another way, if set B was a subset of set A, then everything in B must also be found in A. Having B = {2,4,6} and A = {1,2,3,4,5} shows B is not a subset of A. We see a counter example has 6 in B, but not in set A.
This allows us to rule out choice B. Similar ideas apply to the answer choices C and D as well.
Answer:
A
Step-by-step explanation:
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