please help me with this problem

Please Help Me With This Problem

Answers

Answer 1

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 Help Me With This Problem

Related Questions

please answer this. i’m so confused

Answers

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?

Answers

How to calculate:
1% of 29 first.
Then do the 1% x 100 = answer

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.

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

Answers

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?

Answers

Answer:  6

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!!!!

Answers

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

Answers

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?

Answers

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!!

Answers

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?

Answers

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?

Answers

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?

Answers

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

Answers

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

Answers

Graph A because negative 2 is the y intercept. The graph also goes to right once every four units up.

(Will mark brainlest ) help me to find the value of x or theta (step by step)​

Answers

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

Answers

The answer to the question is 2.5

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?

Answers

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

Answers

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=?

Answers

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

Answers

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

Answers

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?

Answers

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

Answers

Answer:

9 is y

Step-by-step explanation:

WILL GIVE BRAINLIEST FOR ANSWER

Answers

Answer:

the answe is 187 cm square

answer: 185 cm^2
explanation:
area of triangle: 1/2 x b x h
(1/2 x 6 x 7) = 21
there are two of these triangles, so double this number to get 42
(1/2 x 6 x 11) = 33
there are also two of these triangles, so double this number as well to get 66
area of rectangle: l x w
7 x 11 = 77
finally, add all of these numbers to get your answer.
77 + 66 + 42 = 185

GIVING OUT BRAINLIEST PLS HELP MEE

Answers

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

Answers

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)

Answers

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

Answers

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​

Answers

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°

Answers

Answer:

64°

Step-by-step explanation:

We know that a right angle is 90°

so we do 90° - 26° = 64°

64
Answer: the answer is 64
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