9514 1404 393
Answer:
(x, y) = (-3, -13) or (-8, -23)
Step-by-step explanation:
The values for y can be equated and the resulting quadratic solved by factoring.
2x -7 = x^2 +13x +17
0 = x^2 +11x +24 . . . . . . subtract 2x-7
0 = (x +8)(x +3) . . . . . . . .factor*
The values of x that make these factors zero are x=-8 and x=-3. The corresponding values of y are ...
y = 2(-8) -7 = -23
y = 2(-3) -7 = -13
The solutions are ...
(x, y) = (-8, -23) and (-3, -13)
_____
* The constants in the binomial factors are factors of 24 that total 11. You know that ...
24 = 1×24 = 2×12 = 3×8 = 4×6
The sums of these factors are 25, 14, 11, 10. The factors 3 and 8 are the constants in the binomial factors of the quadratic.
"24" is the constant in the quadratic. "11" is the coefficient of the x term.
please answer this. i’m so confused
Answer:
1
Step-by-step explanation:
All sides have to be congruent making option 1 correct
~ LadyBrain
On Monday 34% of the children who usually attend the nursery were absent.
29 children attended the nursery on Monday.
How many children would usually be at the nursery on Monday?
The number of children that would usually be around at the Nursery on Monday are; 24 Children
How to work with percentages?We are given;
Percentage of children that were absent = 34%
Number of children that attend on Monday = 29
Thus;
Number of children that are absent on Monday = 34% * 29
Number of children that are absent on Monday ≈ 10
Thus;
Number of children that would be around on Monday = 34 - 10 = 24 children
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Which of the following expressions are equivalent to -8-(-1)-5? Pick two answers.
OPTION B and E are the correct answers.
Answer:
B & E
Step-by-step explanation:
Main Expression: - 8 - ( - 1 ) - 5 = - 7 - 5 = - 12
A: - 8 - 1 - 5 = - 9 - 5 = - 14
B: - 8 + 1 - 5 = - 7 - 5 = - 12
C: - 8 + ( - 1 ) + ( - 5 ) = - 9 + ( - 5 ) = - 14
D: ( 8 + 1 ) - 5 = 9 + 5 = 14
E: - ( 8 - 1 + 5 ) = - ( 7 + 5 ) = - ( 12 ) = - 12
Hope this helps!
Which measure of central tendency best describes the data set below?
{0, 80, 85, 88, 90, 95}
A. the mean, 73
B. the mode, none
C. the range, 95
D. the median, 86.5
Answer:
The correct answer would be D, the median 86.5. In this set of data most of the values are in the 80's or 90's.
Step-by-step explanation:
d point is the answer
Answer:
D) The median, 86.5
Step-by-step explanation:
Most of the data is clustered in the 80s. Therefore, D is correct.
When Joseph walks to school, he always walks through City Park along the
way. He lives on the corner of Elm Street and Oak Street, both of which go
directly to the Park. From the park to school, Joseph can walk along Riverside
Drive, Hilltop Way, or Park Street. How many different routes are there from
Joseph's house to his school?
Explanation:
There are 2 paths he can take from his house to the park.
There are 3 paths he can take from the park to school
Overall, there are 2*3 = 6 routes in all. It might help to form a tree diagram to see all 6 possible paths.
HELP PLSS I WILL GIVE BRAINIEST PLEASE!!!!
Answer:
Step-by-step explanation:
term | Phrase
inequality | 63<8k
Expression | bc+1-(8d-4)
Equation | w^4=81
Answer:
Inequality 63 < 9k
Expression bc + 1 - (8d - 4)
Equation w⁴ = 81
Step-by-step explanation:
w⁴ = 81
⁴√w⁴ = ⁴√81
w = 3
3 × 3 × 3 × 3 = 81
9 × 3 × 3 = 81
9 × 9 = 81
bc + 1 - (8d - 4)
bc + 1 - 8d + 4
bc + 5 - 8d
2 1/3 - (-5) =
what does it equal
Answer:
7 1/3
Step-by-step explanation:
See image below:)
what is the largest number in the form x987yz that is divisible by 12?
Answer:
998796
Step-by-step explanation:
For a number to be divisible by 12. it must be divisible by 3 and 4
Since we need the largest 6 digit number, we will take x = 9
So the number is 9987yz
Again since we need the largest number we will consider the largest 2 digit number multiple of 4 and 3.
Largest 2 digit number divisible by 4 is 96, which is also divisible by 3.
So, yz = 96
Therefore , the largest number in the form will be : 998796
Answer:
The largest number is 998796
------------------------------------------------------
The largest digit you could use is 9 so, our number would be, 998799,
but the thing is that it's not divisible by 12.
The next largest would be 8. (998798) Not divisible.
7, so our number would be, 998797. Not divisible.
6, 998796. 998796/12= 83233, which means that it is divisble, so, the largest number in the form x987yz that is divisble by 12 is 998796
Please correct me if I'm wrong.
(Functions and Relations) Answer getting brainliest!!
Answer:
D
Step-by-step explanation:
Have a nice day
John shot 30 baskets in 5 minutes. At this rate how many minutes will it take him to shoot 90 baskets? What are the 2 units you are comparing?
Ans5 and 2
Step-by-step explanation:
You have 3 five dollar bills and 4 ten dollar bills in your pocket. If you pull out 2 bills, what is the probability they are both tens?
Answer: I think its 4%
Step-by-step explanation: 3+4=7 7/2=3.5
Answer:
1/14
Step-by-step explanation:
What is the equation of the line in slope-intercept form?
Answer:
2) y=-3x+36
Step-by-step explanation:
Hi there!
We're given a graph and we want to find the equation of the line in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
We'll need two points, so pick any two from the graph
For example, let's do (0,36) and (12,0)
first let's find the slope
The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1,y1) and (x2,y2) are points
we'll be using (0,36) and (12,0)
let's label the points to avoid any confusion
x1=0
y1=36
x2=12
y2=0
Now substitute into the formula:
m=(y2-y1)/(x2-x1)
m=(0-36)/(12-0)
m=-36/12
m=-3
so the slope is -3
here's the equation so far:
y=-3x+b
we need to find b
The equation of the line will pass through both (0,36) and (12,0) so we can use either one of them to solve for b
let's take (12,0) for example
substitute 12 as x and 0 as y
0=-3(12)+b
multiply
0=-36+b
add 36 to both sides to isolate b
36=b
now substitute 36 as b into the equation
y=-3x+36
There's the equation of the line, so the answer is option 2
Hope this helps!
What is the solution for
X+2y=9 2x+4y=20
Answer:
No solution
Step-by-step explanation:
x + 2y = 9
x = - 2y + 9
2x + 4y = 20
2(-2y + 9) + 4y = 20
-4y + 18 + 4y = 20
-4y + 4y = 20 - 18
0 = 2
( No solution)
Which graph shows the line y = 4x-2?
BDC/A
O
A. Graph A
O B. Graph C
O C. Graph D
O D. Graph B
(Will mark brainlest ) help me to find the value of x or theta (step by step)
Answer:
X = 6
Step-by-step explanation:
sin○ = opposite side/hypotenuse
sin 45 = 3 root2/x
1/root2 = 3 root2/x
x = 3 × 2
x = 6
Answer:
x=6 cm
Step-by-step explanation:
take 45 degree as reference angle
using sin rule
sin 45 =opposite/hypotenuse
[tex]\frac{1}{\sqrt{2} } =\frac{3\sqrt{2} }{x}[/tex]
do cross multiplication
[tex]x=\sqrt{2} * 3\sqrt{2}[/tex]
x=6
What is the y-intercept of the graph of y = 2.5'?
a. 2.5
b. 1
0
d. -1
ME
Please select the best answer from the choices provided
ОА
ОВ
In a certain region, there is a 0.1 probability that any checked passerine bird's nest will
contain a cuckoo egg. If three passerine nests are checked, what is the probability that
at least two of them contain a cuckoo egg?
Answer:
Probability of at least two cuckoo eggs is 0.738.
Step-by-step explanation:
probability of cuckoo egg = 0.1
probability of not a cuckoo egg = 1 - 0.1 = 0.9
Probability of at least two cuckoo eggs is
= Probability of two cuckoo eggs x probability of 1 not cuckoo egg +
probability of three cuckoo eggs
= 0.1 x 0.1 x 0.9 + 0.9 x 0.9 x 0.9
= 0.009 + 0.729
= 0.738
Given m||n, find the value of x
Answer:
(i)Here ∠HGB=∠AGE(vertically opposite angles)
∠HGB=110
∘
Now, for parallel lines l and m, with transversal t.
∠HGB+∠GHD=180
∘
(Angles on the same side of the transversal are supplementary)
110
∘
+∠GHD=180
∘
∠GHD=180
∘
−110
∘
=70
∘
(ii)For parallel lines l and m with transversal a
∠AIE=∠CJI (corresponding angles)
⇒x=100
∘
below is the graph of a trigonometric function. it has a maximum point at (pi/2, 1.8) and an amplitude of 4.2. what is the midline equation of the function?
y=?
Answer:
y = -2.4
Step-by-step explanation:
y = 1.8 - 4.2 = -2.4
The midline equation of the function is y = -0.3 according to given question
To find the midline equation of the trigonometric function, we need to determine the vertical shift or displacement from the x-axis.
Given that the function has a maximum point at (π/2, 1.8), we know that the maximum value of the function is 1.8. The amplitude of the function is 4.2, which represents half the vertical distance between the maximum and minimum values.
Since the maximum value is 1.8 and the amplitude is 4.2, we can calculate the minimum value by subtracting the amplitude from the maximum value:
Minimum value = 1.8 - 4.2 = -2.4
The midline equation represents the horizontal line that divides the function symmetrically between the maximum and minimum values. In this case, the midline is the line that passes through the average of the maximum and minimum values, which is (1.8 - 2.4) / 2 = -0.3.
Therefore, the midline equation of the function is y = -0.3.
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Which expression is equivalent to
^3 sqrt 1/1000 c^9 d^12
Answer:
[tex] \sqrt[3]{ \frac{1}{1000} {c}^{9} {d}^{12} } \\ = \frac{1}{10} {c}^{3} {d}^{4} [/tex]
g The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour. At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch
Answer:
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Step-by-step explanation:
Area of a triangle:
The area of a triangle of base b and height h is given by:
[tex]A = bh[/tex]
In this question:
We have to derivate the equation of the area implicitly in function of time. So
[tex]\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}[/tex]
The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.
This means that:
[tex]\frac{dh}{dt} = 2, \frac{dA}{dt} = -0.5[/tex]
At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?
This is [tex]\frac{db}{dt}[/tex] when [tex]h = 6[/tex]
Area is 24, so the base is:
[tex]A = bh[/tex]
[tex]24 = 6b[/tex]
[tex]b = \frac{24}{6} = 4[/tex]
Then
[tex]\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}[/tex]
[tex]-0.5 = 4(2) + 6\frac{db}{dt}[/tex]
[tex]6\frac{db}{dt} = -8.5[/tex]
[tex]\frac{db}{dt} = -\frac{8.5}{6}[/tex]
[tex]\frac{db}{dt} = -1.4167[/tex]
The base of the triangle is decreasing at a rate of 1.4167 inch/hour.
Three relatives will share an inheritance of 196,800 in the ratio of 3 to 7 to 2. How many dollars of the inheritance will each of the relatives receive?
Answer:
49200
114800
32800
Step-by-step explanation:
196800/12=ans
ans * 3
ans * 7
ans * 2
Solve the system of equation y = -2+5
y = x^2 + 3x + 9
Answer:
9 is y
Step-by-step explanation:
WILL GIVE BRAINLIEST FOR ANSWER
Answer:
the answe is 187 cm square
GIVING OUT BRAINLIEST PLS HELP MEE
Answer:
cos(38°) = sin(52°)
sin(64°) = cos(26°)
cos(52°) = sin(38°)
sin(17°) = cos(73°)
Step-by-step explanation:
Answer:
1. cos 38 = sin 52
2. sin 64 = cos 26
3. cos 52 = sin 38
4. sin 17 = cos 73
Step-by-step explanation:
Use this website to help:
https://www.mathcelebrity.com/anglebasic.php?entry=17&pl=sin
I hope this helps you! :D
Plz mark me as brainliest!
Find the area of the rhombus.
d1 = 18 m; d2 = 16 m
Answer:
Area=144m²
Step-by-step explanation:
I hope you don't have any difficulty in understanding this answer
The vertices of a triangle are as follows: (4,) (6,7) and (8,0) If you dilate the triangle by a scale factor of 3, what are the vertices of the new triangle
1. (12,12) (6,7) (24,3)
2. (4,12) (6,21) (8,0)
3. (12,4) (18,7) (24,0)
4. (12,12) (18,21) (24,0)
Answer:
(12, 12), (18, 21), (24, 0)
Step-by-step explanation:
To dilate a figure, you multiple each of the numbers in its coordinates by the scale factor.
The vertices of the new triangle is:
4. (12,12) (18,21) (24,0)
What are the vertices of the new triangle?We have:
The vertices of a triangle: (4, 4) (6,7) and (8,0)
We dilate the triangle by a scale factor of 3
To find the vertices of the new triangle after a dilation of 3, multiply the old vertices by 3. That is:
3 * (4, 4) => (12, 12)
3 * (6, 7) => (18, 21)
3 * (8,0) => (24, 0)
Therefore, the vertices of the new triangle is (12,12) (18,21) (24,0)
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someone scored 30 marks out of 50 marks in a quiz how much percent marks will she get?
Thanks needed help asap
Answer:
If you think about it with your score being out of 100% and your test would be out of 50 you can always double what you got out of 50 which in this case it would now be 60. So you would have 60%.
Step-by-step explanation:
if three angles of a hexagon are each x° and each of the other is 1/2 times x° find the angles
Answer:
Step-by-step explanation:
The given hexagon has interior angles
x,x,x, x/2, x/2, x/2 for a total of S1=4.5x.
We also know that the sum of interior angles of any polygon of n sides is
S2=180(n-2)
For a hexagon, S2 = 180(6-2) = 720°.
Equating S1 and S2
4.5x = 720
x = 720/4.5 = 160.
Therefore substitute x in the given angles to get
{160°,160°.160°,80°,80°,80°}
7. Solve for b.
b
26°
Answer:
64°
Step-by-step explanation:
We know that a right angle is 90°
so we do 90° - 26° = 64°