Mathematics High School

Question
Solve the equation. Enter the answer in radical form, and then use a calculator to approximate the
solution to two decimal places, if necessary. Use a graphing calculator to graph the related function to
check your answer.
5x2 - 16 = 29
The solutions are x =
and x-

Answers

Answer 1

Answer:

solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]5x^2 - 16 = 29[/tex]

We need to solve the equation to find the value of x.

We can solve this equation using simple DMAS rule.

We are given:

[tex]5x^2 - 16 = 29[/tex]

Add 16 on both sides

[tex]5x^2 - 16+16 = 29+16\\5x^2=45[/tex]

Now, divide both sides by 5

[tex]\frac{5x^2}{5}=\frac{45}{5} \\x^2=9[/tex]

Now, we know that [tex]\sqrt{x^2}=\pm x[/tex]

Taking square root on both sides.

[tex]\sqrt{x^2}=\sqrt{9}\\x=\pm3[/tex]

So, we get values of x:

[tex]x=3, x=-3[/tex]

Therefore, solving the equation [tex]5x^2 - 16 = 29[/tex] we get the solution: [tex]\mathbf{x=3,x=-3}[/tex]

Related Questions

4x-3+x=7x-3 solve x and show work easy to undertand please. Really appreciate it ^^

Answers

X=0 answer answer answer

One tomato plant is 12 inches tall in a grows 1.5 inches per week another tomato is 6 inches tall and grows 2 inches per week after how many weeks will the plants the same height?

Just need the equation that’s it I don’t know how to write it...

Answers

y= 1.5x + 12 y=2x + 6

Simplify and solving practice 2

Answers

Answer:

The what

please but a picture please

someone please heellppp.

Answers

Answer:

for neg its -6-6 and for the right side 8-3

Step-by-step explanation:

Use Properties to evaluate 3/5(-20÷1/3)(2/3)
A. 12
B. 24
C. -12
D.-24

Answers

the answer is to the problem is D

Answer:

D.-24

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

Answer:

simple

Step-by-step explanation:

i can't give the answer  but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.

show how both are paralell(lines never meet).

Find the value of x in the diagram below.

Answers

Answer:

x = 31

Step-by-step explanation:

The 2 sides are congruent, meaning the 2 angles are equal so:

47 = x + 16

subtract 16 from both sides

31 = x

you flip a coin twice what is the probability of getting tails then getting heads

HELP ASAP

Answers

Answer: The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row. But, if you've already flipped a coin 99 times, and gotten heads each time, then the odds of your next flip being heads is still just 50:50.

Step-by-step explanation:

Write True or False and then explain. The angle of depression is the same degree measure as the angle of elevation in a diagram.

Answers

Answer:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer's line of sight would be above the horizontal. The term angle of depression denotes the angle from the horizontal downward to an object. ... Note that the angle of elevation and the angle of depression are congruent .

Step-by-step explanation:

True

I need help with 12 and 13
:(

Answers

1. 99, 98.05, 62, and 0
2. 67, 65, 64, 6

Explanation: When you see the | | around a number what ever symbol before is irrelevant
For example |-6| would just be 6

Can someone please help me with this I can’t figure this out for the life of me!!

Answers

The answer is 278.4 hope this help

Find the measure of <1

Answers

Consider the triangle (in which angle4 is present)

by angle sum property,

20 + 40 + angle4 = 180

60 + angle4 = 180

angle4 = 180 - 60

angle4 = 120

Also,

angle2 = 120 (vertically opposite angles)

angle1 + angle2 = 180 (linear pair)

angle1 + 120 = 180

angle1 = 180 - 120

angle1 = 60

In AABC, a = 260 inches, b = 480 inches and c=430 inches. Find the measure of
to the nearest 10th of a degree.

Answers

Answer:

your answer would be c thank me later

Step-by-step explanation:

Answer:

The answer is 63.1

Step-by-step explanation:

What is 4/5 * 7/9. Ik It’s easy but I don’t feel like doing it ;)

Answers

Answer:

28/45

Step-by-step explanation:

Dont worry i also don't feel like doing fractions most the time they can get very annoying when you have to work with a lot of them.

Answer:

36/45* 35/45

PLEASE HELP ME PLEASE

Answers

Answer:

8.5

Step-by-step explanation:

15x+10+6x+2=180 (add up to we 180 because they are alternate eachother

21x+12=180 combine like terms

21x=178 subtract 12 from both sides

x~~8.5 divide both sides by 21

What is the unit rate for 46$ for 5 toys

Answers

Answer:

The unit rate is $9.20 per toy

Step-by-step explanation:

Since the total of the toys is 46, you divide by 5, to see how much each toy is

$9.20, all u have to do is divide 46 by 5

Kate's math homework had a set of equations and a one-word problem. She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total, how many equations did she solve

Answers

Answer:

15 equations

Step-by-step explanation:

Let

Number of equations in the homework = x

There is only a one-word problem

y = amount of time used to solve the word problem

She took 3 minutes to solve each equation, then 7 minutes to solve the word problem if it took her 52 minutes total,

Total = 3x + y

52 = 3x + 7

Subtract 7 from both sides

52 - 7 = 3x + 7 - 7

45 = 3x

Divide both sides by 3

x = 45 / 3

= 15

x = 15 equations

Therefore, she solved 15 equations

x +1 = -5
Graphing linear

Answers

Use the Desmos graphing app to find the answer

Answer:

x= -6

Step-by-step explanation:

please help!
What is the equation written in vertex form of a parabola with a vertex of (-5, -4) that passes through (-7, 8)?

Answers

Answer:

y= 3(x+5)^2 -4

If the triangles are congruent,
then x =
[?]
13
4x+1
2x+y
8x-2y
Enter the number that belongs in
the green box

Answers

Answer: x = 3

Explanation:
If the two triangle are congruent then all of their sides are also congruent.

4x + 1 = 13
4x = 13 - 1
4x = 12
x = 12/4 = 3
X=3 !!!!!!!!!!!!!!!!!!!!!!!!

need help ASAP - midterm
- 60 points

Answers

Answer:

I think 9.3 but I ain't sure

Evaluate these expressions using the correct order if operations. 8 * (6 + 7) - 5

Answers

The correct answer is 99.

How many right angles appear to be in the figure
A. One
B. Two
C. Three
D. Four

Answers

Answer:

1

Step-by-step explanation:

Mike answered 72%
of the questions on his
test correctly. If
there were 50
questions on the test,
how many did he NOT
answer correctly?

Answers

Answer: I believe its 36

Step-by-step explanation:......

In the figure below, ray KM is the angle bisector of ZLKJ. If MZLKJ = 82",
what is MZMKJ?

Answers

Answer:

41º

Step-by-step explanation:

An angle bisector splits an angle in half. So angle LKM+angle MKJ=angle LKJ. We know angle LKJ=82º, so angle LKM=angle MKJ=82º/2=41º.

Harper is making pudding cups for a big celebration. She made 5 pounds of pudding, but she needs to separate the pudding into individual 4-ounce cups. How many total individual pudding cups can Harper make?

Answers

Given :

Total amount of pudding made, T = 5 pounds.

Size of each cup, s = 4 ounces.

To Find :

How many total individual pudding cups can Harper make.

Solution :

Let, n number of pudding cups can filled with 5 pounds pudding.

We know, 1 pound = 16 ounces.

So, 5 pounds = 16×5 = 80 ounces.

Now,

[tex]n = \dfrac{80}{s}\\\\n = \dfrac{80}{4}\\\\n = 20 \ cups[/tex]

Therefore, 20 cups can be filled with 5 pounds of pudding.

Verizon offers a cell phone plan where customers buy a cell phone for $300 and pay a monthly fee of $40. T- Mobile offers a cell phone plan where customers buy a cell phone for $200 and a monthly rent of $60. Write the equation needed to find the number of months a customer would have to own a cell phone in order for the two cell phone companies to be equal. PLEASE ANSWER QUICKLY. need help!!!

Answers

Answer:

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Step-by-step explanation:

Given that:

Cost of cell phone at Verizon = $300

Monthly fee = $40

Let,

x be the number of months

V(x) = 40x + 300

Cost of cell phone at T-mobile = $200

Monthly fee = $60

T(x) = 60x + 200

For equal amount of money,

V(x) = T(x)

40x+300=60x+200

300-200=60x-40x

100=20x

20x=100

Dividing both sides by 20

[tex]\frac{20x}{20}=\frac{100}{20}\\x=5[/tex]

Hence,

A customer would have to own a cell phone for 5 months in order for the two companies to be equal.

Find the missing part

Given: regular square pyramid
Find PY

​

Answers

Answer:

PY = 3 sqrt 3

Step-by-step explanation:

Hope it helps.

HELPP Its due rnnn , ANYBODYYYYY help meeee lollll

Answers

Answer:

The first one is C and I don't know what the other one is

how many solutions does 4(2x-5)=2x-20 have?

Answers

Answer:

x = 0

Step-by-step explanation:

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