34x+24x^2=35+57y
Solve for x

Answers

Answer 1

1) Move all terms to one side.

[tex]34x+24x^{2} -35-57y=0[/tex]

2) Use Quadratic Formula.

[tex]x=\frac{-34+2\sqrt{1368y+1129} }{48} ,\frac{-34-2\sqrt{1368y+1129} }{48}[/tex]

3) Simplify solutions.

[tex]x=-\frac{17-\sqrt{1368y+1129} }{24} ,-\frac{17+\sqrt{1368y+1129} }{24}[/tex]


Related Questions

Which of the following is a square root of -18 ?

Answers

Answer:

It should be [tex]3\sqrt{2} i[/tex]

Step-by-step explanation:

Answer:

4.242.....

Step-by-step explanation:

Hope this helped!

find 3 arithmetic means between -4 and 16​

Answers

Therefore, the arithmetic means are 1, 6, 11

Step-by-step explanation:
-4,_,_,_,16
Solution:
16= -4+(5-1)d
16= -4+4d
16+4= 4d
20=4d
4 4
d=5
-4 1 6 11
+5 +5 +5 +5
1 6 11 16
-4 ,1 ,6 ,11 ,16

Answer this pleaseeee <3 <3 <3 <3 <3 <3 <3

Answers

Answer:180%

Step-by-step explanation:

72/40 = 1.8

(1.8)(100)= 180

Answer:

Answer: 180%

Step-by-step explanation:

Write a system of equations to describe the situation below, solve using elimination, and fill in
the blanks.
The manager at a community pool is looking over receipts. On a certain Monday, the pool had
16 children and 42 adults, which brought in $142. That same week on Tuesday, 24 children
and 26 adults came to the pool, which brought in $102. What are the admission prices for
children and adults?

Answers

Answer:  Child is $1 and Adult is $3, per person.

Step-by-step explanation:

We have two unknowns, so we need at least two equations.  Let C and A stand for the price of a ticket for a child and an adult, respectively.

The income for Monday and Tuesday can be calculated:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

Rearrange the second equation to isolate one of the variables.  I'll pick C:

24C + 26A = $102

C  = ($102 - 26A)/24

Now use this expression for C in the first equation

16C + 42A = $142

16(($102 - 26A)/24) + 42A = $142

16(($102 - 26A)/24) + 42A = $142

(1632 - 416A)/24 + 42A = $142

(68 - 17.3333A + 42A = $142

24.6667A = 74

A = 3  [The price of an adult pool admission is $3]

Use this value in either equation to find the price of a child's admission:

24C + 26A = $102

24C + 26*($3) = $102

24C = 102 - 78

C = $1   [The price of a child's admission to the pool is $1]

Check to see if these prices satisfy both equations:

Monday:   16C + 42A = $142

Tuesday:  24C + 26A = $102

---

Monday:   16*(1) + 42*(3)  = $142   ?   YES

Tuesday:  24*(1) + 26*(3) = $102   ?    YES

Child is $1 and Adult is $3, per person.

Is -9 a real or imaginary number?

Answers

A real number is a number that can represent any continuous quantity.It includes both rational and irrational numbers.Since, -9 is a rational number, then it is a real number.

Answer:

-9 is a real number.

Hope you could get an idea from here.

Doubt clarification - use comment section.

what is the slope of the line?

Answers

Answer:

-8/3

Step-by-step explanation:

rise/run

rise: -8

run: 3

-8/3

Which expression represents how many years are in X months

Answers

Answer:

12 months is one year so the expression is:

Step-by-step explanation:

2year = 2(X)

so you know one year 12 months you can put 12 on the x value

2 years = 2(12)

2 years = 24 months

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel:

(image)

Which statement best describes a flaw in the student's proof?

Angle DBC and angle BDA form a pair of vertical angles, not a pair of alternate interior angles, which are congruent.

Triangles ABD and CDB are congruent by the SAS postulate instead of the SSS postulate.

Triangles ABD and BCD are congruent by the AAS postulate instead of the SSS postulate.

Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

Answers

The statement that best describes a flaw in the students' proof is;

Option D; Angle DBC and angle BDA form a pair of corresponding angles, not a pair of alternate interior angles, which are congruent.

From the given image, we can see that;

AB ≅ DC

Let us analyze each given option;

A) ∠DBC and ∠BDA are in the same triangle ΔBDC. Now, they can't be a pair of vertical angles because vertical angles are a pair of opposite angles formed when two lines intersect but this is not the case here.

They are also not alternate interior angles because alternate angles are formed when a transverse line intersects two coplanar lines and again that is not the case here.

B) In ΔABD and ΔBDC, we see that;

AB = DC. Also, by theorem of alternate interior angles, we can tell that;

∠ABD = ∠BDC

Similarly, ∠BDA = ∠DBC from alternate interior angles.

Thus, there is one corresponding side and two non-included angles which means the triangles are congruent by AAS Congruency postulate.

C) As seen in B above, this statement is correct because the triangles are congruent by AAS postulate.

D) Corresponding angles lie on the same side of the transversal.  In this case, ∠BDA and ∠DBC lie on opposite sides and are even congruent by alternate interior angles.

Read more about congruency at; https://brainly.com/question/7727792

Write the word sentence as an equation. Then solve the equation.
The quotient of a number and -1.5 is 21.
a
Equation:
Solution: x=

Answers

Answer:

Step-by-step explanation:

"The quotient of a number and -1.5 is 21."

Let X be the "number."

X/-1.5 = 21

X = -1.5*(21)

X = - 31.5

find the sides marked with letters

Also explain how to solve it ​

Answers

Answer:

m = 10

Step-by-step explanation:

The triangles are similar. The scale factor is 15/9.

We multiply 6 by the scale factor and get m:

m = 6 * 15/9 = 10

Then we see that m (10) is also the lenght of a side in the smaller triangle, so we multiply 10 by 15/9 and find a.

a = 16,6 (circa)

Can someone please take the time out of their day and help me with this question

Answers

Answer:

76, 76 104

Step-by-step explanation:

Angle 3 is vertical so it is congruent to Angle 2.

Angle 6 is corresponding, so it is congruent to Angle 2.

Angle 8 is linear to Angle 6, so they add to 180

Answer:

see explanation

Step-by-step explanation:

(a)

∠ 2 and ∠ 3 are vertically opposite angles and are congruent , then

∠ 3 = 76°

(b)

∠ 3 and ∠ 6 are corresponding angles and are congruent , then

∠ 6 = 76°

(c)

∠ 2 and ∠ 8 are same- side exterior angles and sum to 180° , that is

∠ 8 + 76° = 180° ( subtract 76° from both sides )

∠ 8 = 104°

If you can help, I’ll give brainliest

Answers

Answer:

sum of interior angles =180×3= 540°

m<F= 540-105-113-107-87

=128°

m<F= 128°

Ankita height is 135 cm and Nita height is 150 express Ankita height as a percentage of Nita height​

Answers

Answer: 90%

135/150 * 100

45*2

90

Evaluate:
[tex] {8}^{ - \frac{2}{3} } [/tex]
with steps please​

Answers

[tex]8^{-\tfrac 23}\\\\\\=\left(8^{\tfrac 13 }\ \right)^{-2}\\\\\\=\left[\left(2^3\right)^{\tfrac 13} \right]^{-2}\\\\\\=\left(2^{\tfrac 33} \right)^{-2}\\\\\\=2^{-2}\\\\=\dfrac 1{2^2}\\\\\\=\dfrac 14[/tex]

[tex] {8}^{ - \frac{2}{3} } \\ = {2}^{3 \times - \frac{2}{3} } \\ = {2}^{ - 2} \\ = \frac{1}{2^{ 2}} \\ = \frac{1}{4} [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

Dani spent $6,300 on a used car. She paid $630
as a down payment. What fraction of the orig-
inal cost was the down payment?
A. 1/10
B. 1/18
C. 1/20
D. 1/40

Answers

Answer:

1/10

Step-by-step explanation:

630/6300 = 0.1

0.1*100 = 10

10% a.k.a 1/10

Hope this helped!

Is 92.248 an integer? Yes or no

Answers

Answer:

NO no no non

Step-by-step explanation:

IHOPE THIS CORELRECT ANSWER

Marla earns an 8% commission on a house that she sells for $450,000. How 1 point
much does she earn in commission for this sale?”

Answers

Answer:

$36,000

Step-by-step explanation:

8% of $450,000 = $36,000

PLEASE HELP ME!!!!!!!!

Answers

Answer:

answer ????

Step-by-step explanation:

A recursive rule for an arithmetic sequence is a1 = −4; an = an−1 + 11

a. What is a1?

b. What is d?

c. What is the iterative rule for the arithmetic sequence above? You do NOT need to simplify.

d. Find a10

Answers

It’s a for sure I really think it’s A i don’t know

pls help
Determine if each pair of ratios is equivalent or not. 6/8 21/36

Answers

Answer:

Not

Step-by-step explanation:

6/8 In Simplest Form 3/4

21/36 In Simplest Form 7/12 May Be The Answer Will Be Not Equivalent

Hope To Help!!!

Help PLEASE!!! I really need it I really do please anyone

Answers

Answer:

5. alternate interior angles

7. angle addition postulate

what is the area of the rhombus with one side as 32cm and one diagonal as 18 meters​

Answers

the area of the rhombus=32cm; one diagonal (q)=18meters

p=(2×area)/q

p=(2×32)/18=18

therefore the length of the unknown diagonal is 18.

the unknown diagonal can be calculated using the perimeter of the rhombus which is given as 32cm; one diagonal (p)=18 half of this diagonal

=18÷2=9units

Danielle wants to buy a magazine for $11. The sales tax is 5%. How much would the total cost of the magazine be with tax included?

Answers

Answer:

$11.55

Step-by-step explanation:

If we convert the percentage to 1.05 and multiply it by 11, it's 11.55.

thank you in advance to whoever answers this question !!!!

Answers

It seems to be the answer B.

pls help me answer this​

Answers

Step-by-step explanation:

hope it would help you...

Find the slope of the line passing through the points (-8, -3) and (-3,4).

Answers

Answer:

7/5

Step-by-step explanation:

4 + 3 = 7

-3 + 8 = 5

7/5

WILL GIVE BRAINLIEST
HELP ASAP!! WILL ADD 5 STAR RATING !!!

ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!!

Answers

Answer:

(1.5,-1)

Step-by-step explanation:

Answer:

(1.5), (-1)

Step-by-step explanation:

Choose the best selection for the
quadrilateral with vertices at the
following points:
(0,0), (3,2), (6,0), (3,-2)
Hint: Start by graphing the points.
Distance Formula: d= V(x2-x1)2 + (y2 - y1)2
A. Rectangle
B. Square
C. Rhombus
D. Trapezoid

Answers

The quadrilateral with vertices at the  points: (0,0), (3,2), (6,0), (3,-2) is a square

The vertices (or coordinates) of the quadrilateral is given as:

[tex](x,y) = (0,0), (3,2), (6,0), (3,-2)[/tex]

Calculate the distance between subsequent points, using the following distance formula

[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]

So, we have:

[tex]AB = \sqrt{(0 -3)^2 + (0 -2)^2}[/tex]

[tex]AB = \sqrt{13}[/tex]

[tex]BC = \sqrt{(3 -6)^2 + (2 -0)^2}[/tex]

[tex]BC = \sqrt{13}[/tex]

[tex]CD = \sqrt{(6 -3)^2 + (0 --2)^2}[/tex]

[tex]CD = \sqrt{13}[/tex]

[tex]DA = \sqrt{(3 -0)^2 + (-2 -0)^2}[/tex]

[tex]DA = \sqrt{13}[/tex]

Notice that the sides of the quadrilateral are congruent.

Hence, the quadrilateral is a square

Read more about quadrilaterals at:

https://brainly.com/question/1543115

Answer:

it's not a

Step-by-step explanation:

Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?

Answers

Answer:

$20,073.38

Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.

Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.

Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.

√16 + 9 equals √16 + √9
true or
False

Answers

Answer:

True

Step-by-step explanation:

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