Answer:
a = - 2, b = - 6
Step-by-step explanation:
Substitute the values of the zeros into the polynomial and equate to zero.
x² +(a + 1)x + b
x = - 2 → (- 2)² - 2(a + 1) + b = 0 , that is
4 - 2a - 2 + b = 0
2 - 2a + b = 0 ( subtract 2 from both sides )
- 2a + b = - 2 → (1)
x = 3 → 3² + 3(a + 1) + b = 0, that is
9 + 3a + 3 + b = 0
12 + 3a + b = 0 ( subtract 12 from both sides )
3a + b = - 12 → (2)
Subtract (1) from (2) term by term to eliminate b
5a = - 10 ( divide both sides by 5 )
a = - 2
Substitute a = - 2 into either of the 2 equations and evaluate for b
Substituting into (2)
3(- 2) + b = - 12
- 6 + b = - 12 ( add 6 to both sides )
b = - 6
Thus a = - 2 and b = - 6
helpppp please... need to get this doneeee
Answer:
if this is iready
Step-by-step explanation:
the answer is
the third one
#3 what is 33/222 simple form
Answer: 11/74
Step-by-step explanation:
We have to think about what number can be divided from both 33 and 222. 33’s factors are 11 and 3. 222’s are 3, 6, 74, 37, and probably more. The only one the two numbered have in common is 3. So, divide north the numbers toe and denominator by 3 to get 11/74.
(2,1),(-3,1) how do you solve this I’m looking for the slope I also have to show work
Answer: 0
Step-by-step explanation:
To find the slope, you would need to use the formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
[tex]m=\frac{1-1}{-3-2} =\frac{0}{-5} =0[/tex]
The slope is 0, meaning the line is horizontal.
How do you solve this math problem?
5 = 12 + 4
Please Help!!! 10 Points! Brainliest Answer
Answer:
120 degrees
Step-by-step explanation:
It says ABC is similar to MNO, though the shape is smaller, the angle is the same. So the measure of N is 120 degrees
Hope this helps :)
If 3x = 27, then x =
Answer:
x = 9
Step-by-step explanation:
3x = 27
3/3x = 27/3
x = 9
Maya has a smart phone data plan that cost $50 per month that includes 2GB of data,but will charge an extra $15 per GB over the limit?how much would kaya have to pay in a month where she used ent over by x GB
There are two conditions :
1) If data consumed is less than or equal to 2 GB.
2) if data consumed is more than 2 GB.
Change in 1st condition is constant i.e $50.
Now, charge in 2nd condition is given by :
[tex]C=15x+50[/tex]
So, money she have to pay in a month where she used ent over by x GB is :
[tex]C(x) = \$50\ , \ 0 \leq x \leq 2\\or\\C(x ) = \$\ (50+15x )\ ,\ x \geq 3[/tex]
Hence, this is the required solution.
How does the absolute value take away negative signs
Step-by-step explanation:
the absolute value is the numbers UNIT DISTANCE from the origin (0,0). since you can't have negative distance, the result is always positive. Can be solved by counting distance on a graph Not by the actual numbers on the line (-1,-2,-3, etc) but by counting the "boxes" from a point to the origin. hope this makes sense!
Answer:
the absolute value of negative number makes it a positive number
HELP HELP Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.
Answer:
since F is midpoint
DF= FE = 2x+6
DF +FE=DE
2x+6 + 2x+6 = 2x+36
4x + 12 = 2x+36
2x = 24
x=12
DE =2x+36 =2*12 + 36 = 60
Step-by-step explanation:
Pls help stuck on it
C. x = -7
2x + 23 = x + 16
x = -7
Find the distance between the points (4,10) and (0,0) the answer must be a whole number
Answer:
10.77
Step-by-step explanation:
√(4-0)²+(10-0)²
√4²+10²
√16+100
√116
10.77
Answer:
11
Step-by-step explanation:
For this problem, we simply need to apply the distance formula:
distance = sqrt[ (y2 - y1)^2 + (x2 - x1) ]
distance = sqrt[ (10 - 0)^2 + (4 - 0)^2 ]
distance = sqrt[ (10)^2 + (4)^2 ]
distance = sqrt[ 100 + 16]
distance = sqrt [ 116 ]
distance ~= 10.77
The approximate distance rounded to a whole number is 11.
Cheers.
How do I solve this? Please show your work.
Answer:
24 cm²
Step-by-step explanation:
Volume of a prism is equal to the area of the base times the height of the prism.
V = Ah
The volume is 120 cm³, and the height is 5 cm. Therefore, the area of the base is:
120 cm³ = A (5 cm)
A = 24 cm²
What is the value of -3/4 ÷ (-3 1/4)
Answer:
1
Step-by-step explanation:
-3/4 \ - 3 1\4 = 1
What is 5.6666 as a fraction
this is for you Keaira
Answer:
C
Step-by-step explanation:
8. Tonya is cutting square frame mats to frame several square photographs. She can determine the area of the mat from the function m{x) = x2 + 6x + 9, where x is the length in inches of the side of the photograph and m(x) represents the area of the mat. Find the area of the mot given a photograph with a side length of 4.6 inches. in (DO NOT INCLUDE SPACES IN YOUR ANSWER
Answer:
57.76 in²
Step-by-step explanation:
Plug in 4.6 as x in the equation and solve:
m(x) = x² + 6x + 9
m(4.6) = (4.6)² + 6(4.6) + 9
m(4.6) = 57.76
So, the area of the mat is 57.76 in²
Does anyone know what [-2/3 * (-5/7)] * (9/4) is?
Question: 0.4p + 1.7 < 3.3
Answer:
p < 4
Step-by-step explanation:
We are given 0.4p + 1.7 < 3.3.
We solve it like a normal equation by isolating the variable p. Subtract 1.7 from both sides:
0.4p + 1.7 - 1.7 < 3.3 - 1.7
0.4p < 1.6
Divide both sides by 0.4:
p < 1.6/0.4
p < 4
Thus, our possible solutions are p < 4.
~ an aesthetics lover
How much can 2 go into 80
Answer:
40
Step-by-step explanation:
80/2= 40
Please write only vertical compression or stretch
Answer:
No te puedo ayudar vbbnn
Which charts or graphs always use axes both labeled with quantitative values and show individual points of data, meaning that each point matches with one value on the x-axis and one value on the y-axis? Check all that apply.
histograms
scatterplots
line graphs
pie graphs
bar graphs
frequency distributions
The correct choices would be scatter plots, line graphs, bar graphs option second, third, and fifth are correct.
What is scatter plot?Scatter plots are graphs that represent individual points of data and are labeled with quantitative values on both the co-ordinate axes, meaning that there is only one projection on the x-axis and one projection on the y-axis for each point.
We have:
The chart or graph always use axes both labeled with quantitative values and show individual points of data.
Each point matches with one value on the x-axis and one value on the y-axis.
The chart or graph would be scatter plots, line graphs, bar graphs.
Thus, the correct choices would be scatter plots, line graphs, bar graphs.
Learn more about the scatter plot here:
https://brainly.com/question/13984412
#SPJ1
Answer:I belive it is b and c
Step-by-step explanation:
EASY 13 POINTS!!!!!!!
Answer:
42
Step-by-step explanation:
Graph all the points and then measure their lengths. Use Pythagorean Theorem for slanted sides. Picture explains everything. Sorry if my graph is a little messy, but you get the idea.
Use elimination to solve and match each system of equations to the correct solution.
2x-9y=-51
2x-3y=-9
Answer:
2x-9y=-51
2x-3y=-9
subtract question ii from i we get
-6y = -42
y =7
put value of y in 1
2x - 63 = -51
2x= 8
x=4
What is the domain of the function y=3 sqt x-1
Answer:
[1,∞) - All real numbers greater than or equal to 1
Step-by-step explanation:
The answer is [tex]x\geq 1[/tex] or 1, ∞
HELP PLEASE :) 80 POINTS
In the following equations, let x =-3 and y = 2/3. Determine whether the following equations are true or false, or neither true or false.
A. xy = -2
B. x + 3y = -1
C. x + z = 4
D. 9y = -2x
E. y/x = -2
F. -2/x / y = -1
xy = -2
(-3)(2/3) = -2
-2 = -2 TRUE
x + 3y = -1
-3 + 3(2/3) = -1
-3 + 2 = -1
-1 = -1 TRUE
x + z = 4
-3 + z = 4
z = 7 NEITHER
9y = -2x
9(2/3) = -2(-3)
6 = 6 TRUE
y/x = -2
(2/3)/(-3) = -2
-0.22... = -2 FALSE
-2/x / y = -1
-2/-3 / 2/3 = -1
2/3 / 2/3 = -1
1 = -1 FALSE
Best of Luck!
Answer:
A. xy = -2 - true
B. x + 3y = -1 - false doesn't equal -1 it equals -2
C. x + z = 4 - neither because z
D. 9y = -2x - false because it equals -6
E. y/x = -2 - false because it equals -.2222222
F. -2/x / y = -1 - false it equals positive 1
Find the distance between points F(5, 3) and G(2, -7). Round to the nearest hundredth.
Answer:
10.44 units (nearest hundredth)
Step-by-step explanation:
Distance between 2 points
[tex] = \sqrt{(y1 - y2)^{2} + {(x1 - x2)}^{2} } [/tex]
Distance between F and G
[tex] = \sqrt{(3 - ( - 7))^{2} + (5 - 2)^{2} } \\ = \sqrt{ {(3 + 7)}^{2} + {3}^{2} } \\ = \sqrt{ {10}^{2} + 9 } \\ = \sqrt{109} \\ = 10.44 \: units \\ (nearest \: hundredth)[/tex]
Can someone help me please
Answer:
c) 4 or more times
Step-by-step explanation:
A line passes through the points (3,7) and (5,19) Part A: find the slope
Part B: what is a possible equation of a line parallel to the line through (3,7) and (5,19)
Y=mx + b
Answer:
The slope is 6. For the first line you could do y=6x+7, and the line parallel to that could be y= 6x+3
Step-by-step explanation:
For it to be parallel the slopes have to be the same and the y intercepts (b) have to be different. And I found the slope by doing y-y/x-x
plug in you numbers 19-7/5-3= 12/2 = 6
Slope between (2,5) (4,11)
Step-by-step explanation:
[tex]slope = \frac{11 - 5}{4 - 2} \\ = \frac{6}{2} \\ = 3[/tex]
find the value of a2+y when x=4 and y=3
Answer:
If you mean x2+y, then the answer would be 11.