what is the difference between - 21 and -8 on a number line?
Answer:
They are 13 units apart. -8 is closer to zero while -21 is farther ways from zero.
(x+2)(x-3)(x+5) is identical to x^(3)+ax^(2)-11x+b
Find the value of a and the value of b
Answer:
a = 4 and b = - 30
Step-by-step explanation:
Expand the left side and compare like terms on both sides, that is
(x + 2)(x - 3)(x + 5) ← expand the first pair of factors using FOIL
= (x² - x - 6)(x + 5) ← distribute
= x³ + 5x² - x² - 5x - 6x - 30 ← collect like terms
= x³ + 4x² - 11x - 30
Compare like terms with x³ +ax² - 11x + b
4x² and ax² ⇒ a = 4
+ b and - 30 ⇒ b = - 30
The requried simplified values of a and b are given as 4 and -30 respectively.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
(x+2)(x-3)(x+5) = x³+ax²-11x+b
(x + 2)[x² +2x -15 ] = x³+ax²-11x+b
x³ +4x² -11x - 30 = x³+ax²-11x+b
Comparing both sides,
a = 4 and b = -30
Thus, the requried simplified value of a and b are given as 4 and -30 respectively.
Learn more about simplification here:
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Which ordered pair is a solution of y = x + 12? (9, 21) (24, 12) (–12, –24) (0, –12)
Answer:
(9, 21)
Step-by-step explanation:
PLEASE ANSWER QUICKLY. I GIVE BRAINLIEST AND I FOLLOW YOU
Please show work
And I would be so nice if you could also check my most recent question
Answer:
I believe this would be the correct answer. It has been a while since I have done a problem like this.
Answer:
x=1 & y=7
Step-by-step explanation:
y=7x.......(i)
y=-2x+9........(ii)
Solve for (ii) by replacing the value of y in (ii) with the value of y from (i)
y=-2x+9
7x=-2x+9
Add 2x on both sides,
7x+2x=-2x+9+2x
9x=9
Divide by 9 on both sides,
9x/9=9/9
x=1
Now,
Replace the value of x in eq (i)
y=7x
y=7×1
y=7
Therefore,the values of x and y are 1 and 7 respectively.
Marcel converts the frequency table to a conditional relative frequency table by row. 4-column table, 3 rows. First column no label with entries less than 30 miles a gallon, greater than or equal to 30 miles a gallon, total. Second column labeled less than 40 dollars a week with entries W, Y, almost equals 0.43. Third column labeled greater than or equal to 40 dollars a week with entries X, Z, almost equals 0.57. Fourth column labeled total with entries 1.0, 1.0, 1.0 Which value should he use for Y? Round to the nearest hundredth. 0.19 0.45 0.82 0.90
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
Answer:
0.19
Step-by-step explanation:
____ | <40 | 》40 | Total
< 30 | W | X | 1.0
》30 | Y | Z | 1.0
Total | 0.43 | 0.57 | 1.0
Since W, X, Y and Z are conditions frequency, they can't be negative
Therefore,
W and Y are both less than 0.43
X and Z are both less than 0.57
The only option less than 0.43 is 0.19 (for Y)
I need helpI need helpI need helpI need helpI need helpI need helpI need helpI need help
Answer:
2
Step-by-step explanation:
Answer:
The last one
Step-by-step explanation:
2 negatives is a positive, so -(-1) is basically +1, therefor the equation is -4+1
the sum of 17 and 3 times x
Answer:
C
Step-by-step explanation:
3 times x -> 3x
The sum of 17 and 3x -> 17+3x
Answer:
C.
17+3 times x
17+3x
when the x is next to the 3 it means multiply
Step-by-step explanation:
What is the beat values of averages, such as mean, median, and mode, are known as
Standard deviation
Frequency table
Measures of center
Range?
Answer:
Standard deviation
Step-by-step explanation:
Convert radians to degrees. \frac{13\pi}{18}
Answer:
Step-by-step explanation:
sorry can’t answer
Find the area and the circumference of a circle with a diameter of 17cm
Answer:
Step-by-step explanation:
d = 17 cm
r = 17/2 = 8.5 cm
Circumference of circle = πd
= 3.14 * 17
= 53.38 cm
Area of circle = πr²
= 3.14 * 8.5 * 8.5
= 226.865 cm²
Mia made 5 pies. What fraction represents all of the pies?
5/10, 5/1, 5/5, 1/5
Answer:
5/5
Step-by-step explanation:
So imagine you have 1 pie, and its fresh out of the oven so its still hole, that makes it 1/1 or ! whole, the same with 5 because the pies are still whole and not eaten its 5/5
the question is on the image
Answer:
1/6
Step-by-step explanation:
The slope of a line in y=mx+b form is always the number before the x value.
Hope this helps!
2x-3y=-2 y=-4x+2 can someone use substitution method for this question
Answer:
2x+4y=0
Step-by-step explanation:
what is the sum of -7 and its additive inverse?
Answer:
0
Step-by-step explanation:
An additive inverse is any number that adds to a certain number to make the value 0. For example, 6 has an additive inverse of -6. Therefore, -7 has an additive inverse of 7 because 7-7 (or -7+7)=0
Answer:
0
Step-by-step explanation:
Eight cards are marked 3, 4, 5, 6, 7, 8, 9, and 10 such that each card has exactly one of these numbers. A card is picked without looking. Find the probability. Write the answer as a fraction.
P(greater than 5)
A.
5
9
5
9
C.
5
8
5
8
B.
3
8
3
8
Answer:
5/8.
Step-by-step explanation:
Prob( Card is > 5) = number of cards > 5 / total number of cards
= 5/8
Can someone help with this
Answer:
the answered is -3 like in the picture
Step-by-step explanation:
Which linear function has the same y-intercept as the one that is represented by the graph?
The function shown is y=-2x+10
If we want the same y-intercept all we need to fo is change the slope.
For example, these are valid asnwers,
y=-3x+10
y=0.5x+10
y=10x+10
Answer:
y = 2x+10
Step-by-step explanation:
Help anyone? Brainliest and five stars if correct
Answer:
X=1
Step-by-step explanation:
6x+2=9x-1
-6x on both sides
2=3x-1
+1 on both sides
3=3x
/3 on both sides
1=x
Flip
X=1
Math homework, don't get it please explan!
Answer:
-1/2
Step-by-step explanation:
The slope of the line is y=mx+b. when searching for the slope of a line you take where the line crosses EXACTLY on two points, for this grid it would be (0,3) and (2,2) based off this you see that you Rise 1 and Run 2. rise and run is how you find the formula for slope, since the line is going from the left side of the graph to the right (in a downward motion) the overall direction of the line is negative. now you plug in the answer to the formula given, y=-1/2x+3, the +3 or b in the formula is where the line intersects the y axis. this can be negative or positive. the slope can also be taken from the formula, -1/2for more explanation or questions ask please!
The difference between a and b is 12. The number a is 5 more than 3 times the number b. Which of the following pairs of equations could be used to find the values of aand b?
Answer:
a+b=12
3b+5=a
Step-by-step explanation:
Macy has a circular garden that has a radius of 4.5 meters. What is the circumference of her garden? Use 3.14 for pi
A. 28.26
B. 56.52
C. 63.58
D. 14.13
Answer:
A)28.26Step-by-step explanation:
4.5 * 2 = 99 * 3.14 = 28.26I hope you find this helpful.Consider the following polynomial.
-2xys + 3x? - 10x°y6 + 8x + 4
Which of the following statements are true? Select all that apply.
-The polynomial has 5 terms.
-The leading coefficient is -2.
.
-The degree of the polynomial is 7.
-The constant term is 4.
-The polynomial is in decreasing degree order.
Answer:
Step-by-step explanation:
If you write correctly:
[tex]P = -2xys+3x? - 10xy^{6} +8x+4\\[/tex]
I do not know the "?" in the formule de P
-The polynomial has 5 terms. Yes
-The leading coefficient is -2. No
.
-The degree of the polynomial is 7. Yes
-The constant term is 4. Yes
-The polynomial is in decreasing degree order. No
Which property is illustrated by the
equation below?
7 + (-7) = 0
A. Additive Inverse Property
B. Distributive Property
C. Associative Property of Addition
D. Additive Identity Property
Answer:
additive inverse
Step-by-step explanation:
-7 is the inverse of 7 so adding it would cancel it out making it 0
ASAP! PLEASE HELP. What is the measure of BCD?
Answer:
(5x)°
Step-by-step explanation:
Vertical angles.
Please mark as Brainliest! :)
Have a nice day.
a line passes through the point (-9, 1) and had a slope of -2/3. Write an equation in point-slope form for this line
Answer:
y-1=-2/3(x+9)
Step-by-step explanation:
y-1=-2/3(x-(-9))
y-1=-2/3(x+9)
Fond the equation of the line shown
Answer:
y+-1/2x-1
Step-by-step explanation:
The line is negative
It rises one digit and runs 2
and it crosses though -1 on the y axis
Which ratio is not equivalent to the others?
Answer:
4:7
Step-by-step explanation:
3:5=6:10/2=3:5
9:15=9:15/3=3:5
Answer:
number 13. is d
Step-by-step explanation:
What is the mass of a 450 centimeter3 block of silicon if the density of silicon is 2.336 grams/centimeter3?
Answer: The mass is 1051.2 grams.
Step-by-step explanation:
x/450 =2.336
x= 450 * 2.336
x = 1051.2
Find the area of a trapezoid, base 1 measures 5 inches, base 2 measures 11 inches, height measures 7 inches
Answer:
56
Step-by-step explanation:
Please help with this
Answer:
A
Step-by-step explanation:
