if -1 is a zero of polynomial ax^²-x²+x+4, find the value of a
Answer:
a = -2
Step-by-step explanation:
Given that,
-1 is a zero of the polynomial. i.e. x = -1.
The polynomial is :
p(x) = ax²-x²+x+4
We need to find the value of a.
Put x = -1 in the above polynomial.
p(1) = a(-1)²-(-1)²+(-1)+4
For zeroes,
p(1) = 0
a(-1)²-(-1)²+(-1)+4 = 0
a-1-1+4 = 0
a = -2
So, the value of a is equal to -2.
I need help with these
pliss solve and give evidence
Answer:
4f + 3g
Step-by-step explanation:
g + 3f + f + g + g
3f + f = 4f
g + g = 2g + g = 3g
4f + 3g
change x-2y=4 into slope-intercept form.
Answer:
y = (1/2)x - 2
Step-by-step explanation:
Slope intercept form: y = mx + c
x - 2y = 4
-2y = -x + 4
[tex]\frac{-2y}{-2}=\frac{-x}{-2}+\frac{4}{-2}\\\\y = \frac{1}{2}x - 2[/tex]
without plotting the points indicate the quadrant in which they will lie,if
a)ordinate is 5 , abcissa is -3
b)abcissa -5 and ordinate is -3
c)abcissa is -5 and ordinate is 3
d)abcissa is5 and ordinate is 3
Answer:
a) 2nd quadrant
b) 3rd quadrant
c) 2nd quadrant
d) 1st quadrant
Step-by-step explanation:
When we talk about ordinate, we mean the y axis value
abscissa is the x axis value
There are four quadrants with the following distribution of signs;
1st quadrant: positive x and positive y
2nd quadrant: negative x and positive y
3rd quadrant; negative x and negative y
4th quadrant ; positive x and negative y
a) (-3,5)
negative x and positive y; this is the 2nd quadrant
b) (-5,-3)
Negative x and negative y, this is the 3rd quadrant
c) (-5 , 3)
Negative x and positive y; 2nd quadrant
d) (5,3)
Positive x and positive y; 1st quadrant
PLEASE HELP WILL GIVE BRAINLIST
Answer:
B
Step-by-step explanation:
∠ 3 and ∠ 8 are alternate angles and are congruent, then
6x + 3 = 4x + 29 ( subtract 4x from both sides )
2x + 3 = 29 ( subtract 3 from both sides )
2x = 26 ( divide both sides by 2 )
x = 13 → B
2/5 + 2/5
Help my sister
Answer:
4/5
Step-by-step explanation:
for this problem you just add across so it would be 2+2= 4 but you don't add 5+5 because their the same number
Explain why f(x) = x^2+4/x^2-2 is continuous at x = 2. a. f is defined at x = 2 b. f is not defined at x = 1 c. f is defined at x = -2 d. f is defined at x = 0
Answer:
a is correct and b is incorrect
A box is filled with 9 red crayons, 2 blue crayons, and 5 yellow crayons.
A crayon is chosen at random from the box. Find the probability that it is a red or a blue crayon.
Write your answer as a fraction in simplest form.
Answer:
11/16
Step-by-step explanation:
9+2+5=16
9+2=11
11/16
Answer:
You use ratios to determine, so to find blue crayons it will be 16/2 chance of finding a blue crayon since there are 16 crayons and 2 blue crayons, and simplified it will be 8/1, you can find out the red crayon also by doing the same thing, since you are trying to get a red or blue crayon it will be 11/16 chance of finding a blue or red crayon.
complete the square to rewrite y=x^2-6x+2 in vertex form then state whether the vertex is a maximum or a minimum and give its ordinates
Answer:
[tex]y=(x-3)^2-7[/tex]
Minimum
(-3,-7)
Step-by-step explanation:
[tex]y=x^2 -6x+2[/tex]
[tex]b=-6[/tex]
[tex]\frac{b}{2} =(-3)^2=9[/tex]
[tex]y+7=x^2-6x+9[/tex]
[tex]y=(x-3)^2-7[/tex]
-7 is a minimum.
PLEASE HELP I WILL MARK BRAINLIEST
Cubcivtiv tyk ok givyog Answer: gg
Step-by-step explanation:
40 points
hey whats the answer
pls show step explanation
Answer:.
Answer:1.we have dividend =divisor*quotient+remainder=
(x²+2x-1)(x²-2x+1)+(-4x+1)
=x²(x²-2x+1)+2x(x²-2x+1)-1(x²-2x+1)-4x+1
=x⁴-2x³+x²+2x³-4x²+2x-x²+2x-1-4x+1
=x⁴-4x²
Dividend is x⁴-4x².
2.
Multiplier is a-a²+1.
Answer:
[tex]i \: hope \: the \: above \: picture \\ helps[/tex]
[tex]have \: a \: nice \: day \: [/tex]
[tex]#Liliflim[/tex]
On a map of North Carolina, the distance between Raleigh and Charlotte is 3 1/4 inches. The scale on the map is 1 inch = 40 miles. What is the actual distance?
Answer:
130 miles
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
Actual distance = 31/4 x 40
convert 31/4 to an improper fraction
to convert to improper fraction, take the following steps :
1. Multiply the whole number by the denominator
2. Add the numerator to the answer gotten in the previous step
3. divide the number gotten in the previous step by the denominator
13/4 x 40 = 130 miles
Please help me with at least one problem i’m sort of confused on them but I was able to get one. And I will mark brainiest
Answer:
1. 5.75 * 33 = $189.75
The bakers income is $189.75
2. 2 * y - 8 / 4 when y = 7
2 * 7 - 8 / 4 = 12
3. 76 + 4 * y^2 + 1 when y = 3
76 + 4 * 3^2 + 1 = 113
Where do the negatives go on a fraction? Are they allowed to go on the numerator? And what does it mean when this happens?
5
- ——-
2
3.xºy+ 9. Simplify
(please help bro +[ )
Answer:
[tex] {x}^{0} y + 9 \\ = y + 9[/tex]
can someone please help me find f
HELP NOW! WILL GIVE ALL! FIND THE VOLUME OF EACH FIGURE. ROUND YOUR ANSWERS TO THE NEAREST 10TH, IF NESSISARY.
Question 6 options:
1572 yd3
1272.3 yd3
1197.9 yd3
5089.4 yd3
Answer:
1272.3 yd^3
Step-by-step explanation:
Radius = 9 yd
V = radius^2 x pI x height = 9^2 x 3,14 x 5 = 1272.3 yd^3
What is that number in scientific notation form??
Answer:
D. 3.7 × 10⁶
Step-by-step explanation:
3.7 × 10⁶
3700000
Robert paid $28.40 for 8 notebooks. At this rate, how much would it cost Robert to buy 6 notebooks?
Answer:
It would cost $21.30 for Robert to buy 6 notebooks.
Step-by-step explanation:
find cost for each notebook:
28.40 ÷ 8 = 3.55
multiply by 6:
3.55 x 6 = 21.3
Hope this helped!
what is the value of an that makes the equation to 5m×(5^-7)^m=5^12
Answer:
I think the answer is 11 because 244140625/(5^3*5^(-2)*5^11)
m=11
[tex] \huge \bf\pink{a} \purple{n} \pink{s} \purple{w} \pink{e} \purple{r}[/tex]
[tex]5m = 60 \\ m = \frac{60}{5} = 12[/tex]
4x-36<-12
i need help on this
Answer:
x<6
Step-by-step explanation:
4x-36<-12
Add 36 to each side
4x-36+36<-12+36
4x < 24
Divide each side by 4
4x/4 < 24/4
x<6
Answer:
x<6
Step-by-step explanation:
Reverse order of operations SADMEP
4x<24 (add 36 to both sides)
x<6 (divide both sides by 4)
In a data distribution, the first quartile, the median and the means are 30.8, 48.5 and 42.0
respectively. If the coefficient skewness is , use the information to answer
questions 9 and 10.
9. What is the approximate value of the third quartile
(Q3 ), correct to 2 decimal places?
Answer:
[tex]Q_3 = 56.45[/tex] --- The third quartile
[tex]Var = 370.18[/tex] -- Variance
Step-by-step explanation:
Given
[tex]Q_1 = 30.8[/tex] -- First quartile
[tex]Q_2 = 48.5[/tex] --- Median
[tex]\bar x = 42[/tex] --- Mean
[tex]Skp = -0.38[/tex] --- Coefficient of skewness
Solving (9): The third quartile [tex]Q_3[/tex]
This is calculated from
[tex]Skp = \frac{Q_1 + Q_3 - 2Q_2}{Q_3 - Q_1}[/tex]
So, we have:
[tex]-0.38 = \frac{30.8 + Q_3- 2*48.5}{Q_3 - 30.8}[/tex]
Cross Multiply
[tex]-0.38 (Q_3 - 30.8)= 30.8 + Q_3- 2*48.5[/tex]
Open bracket
[tex]-0.38Q_3 + 11.704= 30.8 + Q_3- 97.0[/tex]
Collect like terms
[tex]-0.38Q_3 -Q_3= 30.8 - 97.0- 11.704[/tex]
[tex]-1.38Q_3= -77.904[/tex]
Divide both sides -1.38
[tex]Q_3 = \frac{-77.904}{-1.38}[/tex]
[tex]Q_3 = 56.45[/tex] --- approximated
Solving (b): The variance
First, calculate the standard deviation from:
[tex]3IQR = 4SD[/tex]
[tex]IQR= Q_3 - Q_1[/tex]
So:
[tex]3IQR = 4SD[/tex]
[tex]3(Q_3 - Q_1) = 4SD[/tex]
Make SD the subject
[tex]SD = \frac{3}{4}(Q_3 - Q_1)[/tex]
[tex]SD = \frac{3}{4}(56.45 - 30.8)[/tex]
[tex]SD = \frac{3}{4}*25.65[/tex]
[tex]SD = \frac{3*25.65}{4}[/tex]
[tex]SD = \frac{76.95}{4}[/tex]
[tex]SD = 19.24[/tex]
So, the variance is:
[tex]Var = SD^2[/tex]
[tex]Var = 19.24^2[/tex]
[tex]Var = 370.18[/tex]
I need help again sorry-
Answer:
f(x) = - 2(x - 3)² + 2
Step-by-step explanation:
Given
f(x) = - 2x² + 12x - 16 ( factor out - 2 from the first 2 terms )
= - 2(x² - 6x) - 16
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² - 6x
f(x) = - 2(x² + 2(- 3)x + 9 - 9) - 16
= - 2(x - 3)² + 18 - 16
= - 2(x - 3)² + 2
19 divided by 462, with remainder please
Answer:
0 remainder 19
Step-by-step explanation:
What is the scale length for an object that is 26”, if the scale is 1/8?
Answer:
3.25"
Step-by-step explanation:
If the scale is 1/8, then the model or drawing has lengths which are 1/8 of the objects lengths.
Find 1/8 of 26.
[tex]26 \times \frac{1}{8} = \frac{26}{8}= 3.25[/tex]
Use Pythagorean theorem to solve the following right triangles, put your answer in simplest radical form:
Answer:
x = 10
Step-by-step explanation:
[tex]x^2 = 8^2 + 6^2\\x^2 = 64 + 36 = 100\\x = \sqrt{100} = 10[/tex]
What is 2 of 1,800,000÷3?
Answer:
Of is a keyword for multiplication.
So, your equation is really 2 X 1,800,000÷3=?
Final answer: 1,200,000
Step-by-step explanation:
Hope that this helps! :)
Have a great rest of your day/night!
y’all i’m stuck help me
======================================================
Explanation:
Think of 25 as 25/1 and 5 as 5/1
Choice E is really saying [tex]\frac{25}{1} \div \frac{5}{1}[/tex] which becomes [tex]\frac{25}{1} \times \frac{1}{5}[/tex]. Note the second fraction flips and we change to a multiplication sign.
------------
Or you could think of it like this:
[tex]25 \times \frac{1}{5} = \frac{25}{1} \times \frac{1}{5} = \frac{25*1}{1*5} = \frac{25}{5} = 25 \div 5[/tex]
to help see why the answer is E.
Answer:
E
Step-by-step explanation:
what is the equivalent decimal to 3/3
Answer:
answer is 1
Step-by-step explanation:
3 and 3 gets cancel .when you divide the same number answer is always 1