Find three consecutive even integers such that the product of the second and
third integers is equal to 35.

Answers

Answer 1

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=35

x(x+4)+2(x+4)=35

x²+4x+2x+8=35

x²+6x+8=35

x²+6x=35-8

x²+6x=33

x²+6x-33=0

using that, you can find the first number,

then use the data to find the other two.


Related Questions

90×(2÷12) please help its for maths

Answers

Answer:

15

Step-by-step explanation:

You would divide 2 by 12 first and then multiply it by 90.

Answer:

Step-by-step explanation:

90 * (2 ÷ 12)

90 *([tex]\frac{1}{6}[/tex])

90*1/6

90/6

15

therefore 15 is the required answer.


Use SOH CAH TOA to identify the Tangent Z.

Answers

SOH = Sine Opposite Hypotenus

CAH = Cosine Adjacent Hypotenus

TOA = Tangent Opposite Adjacent

Based on the key I wrote above, TOA is what you will use. Starting from angle Z look at the opposite side and adjacent side. (Opposite = 21 and Adjacent = 20) Make sure you're not looking at the hypotenus which is the side that is always across from the 90° angle.

Going by opposite over adjacent, that would be 21/20

The answer is the first choice 21/20

What is the slope of the line

Answers

Answer:

m = -1

Step-by-step explanation:

One can tell directly from the graph that the slope is negative.  

Moving from (-2, 0) to (0, -2), we see x increasing by 2 units (this is the run) and y decreasing by 2 units (this is the 'rise').  The slope is m = -2/2, or m = -1.

Carlos drove 8x + 13 miles in two
days. If he drove 3x + 5 miles on the
first day, how many miles did he drive
on the second day?

Answers

Answer:

5x+8

Step-by-step explanation:

Answer:5x+8

Step-by-step explanation:

8x+13

-3x

5x+13

-5

5x+8

Judging by appearance, classify the figure in as many ways as possible.

Answers

Answer:

A. Quadrilateral, kite

41. Suppose a laboratory has a 60 g sample of polonium-210. The half-life of polonium-210 is about 138 days.
a. How many half-lives of polonium-210 occur in 828 days?
b. How much polonium is in the sample 828 days later?
a. 6; 0.94 g
c. 6; 10 g
b. 7;0.47 g
d. 6; 4,140 g
ettings

Answers

a. 6 half-lives; 0.94 g remaining

828 / 138 = 6

60 x 0.5^6 = 0.9375

In City Lake, researchers caught, marked, and released 213 bass. Later, they took a sample of 104 bass and found that 13 were marked. Estimate the number of bass in the lake.
A. 1704 bass
B. 520 bass
C. 27 bass
D. 1846 bass

Answers

Answer:

A : 1704

Step-by-step explanation:

13/104 = 213/1704

The estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.

What are the population and sample?

The population and sample are described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have given that, the researchers caught, marked, and released 213 basses. Later they took a sample of 104 basses and found that 13 were marked.

Proportion = 104/13 = 8

It means 1 marked fish in every 8 fish

The number of basses in the lake = 8×213 = 1704 bass

Therefore, the estimated number of bass in the lake is 1704 bass if the researchers in the city lake caught, marked, and released 213 basses.

Hence, they took a sample of 104 basses and found that 13 were marked option A; 1704 is correct.

Learn more about the population and sample here:

brainly.com/question/9295991

#SPJ2

Find the angle for this problem?

Answers

m(MLK)=130

m(MLK)=m(ZLK)+m(MLZ)

-> x+86+x+66=130

  2x+152=130

2x = -22

x = -11

m(ZLK)=86-11=75

hey, this is the last thing I'm asking help with today.thank you

Answers

Answer:

A

Step-by-step explanation:

the middle angle has to be equal to make the entire angle equal

Leo designs the skateboard ramp shown in the diagram. Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.

Answers

Answer:

h = 50 inches

Step-by-step explanation:

To find the value of h, we are to use the appropriate trigonometric ratio

The given angle faces the unknown length and that makes the unknown length the opposite side

The given side faces the right angle and that makes it the hypotenuse

The trigonometric ratio that connects the opposite and the hypotenuse is the sine

The sine of an angle is the ratio of the opposite side to the hypotenuse

Thus, we have it that;

sin 23 = h/129

h = 129 * sin 23

h = 50 inches

oWhich value completes this table?

Answers

Answer:

When x = -1, f(x) = 2

Step-by-step explanation:

f(x) = (1/2)^x

When x = -4

f(x) = (1/2)^x

f(x) = (1/2)^-4

= 1 ÷ (1/2)^⁴

= 1 ÷ 1^⁴/2^⁴

= 1 ÷ 1/16

= 1 × 16/1

= 16

When x = -1

f(x) = (1/2)^x

= (1/2)^-1

= 1 ÷ 1/2^1

= 1 ÷ 1/2

= 1 × 2/1

= 1 × 2

= 2

When x = -1, f(x) = 2

CAN SOMEONE GIVE A ANSWER ON THIS THE REAL ANSWER PLEASE THANK YOUUU ILL ADD DOUBLE THE POINTS

Answers

Answer:

138 degrees

Step-by-step explanation:

A straight line/angle is 180 degrees so subtract 42 degrees from that to get 138 degrees.

I explained as best and simple as I could, I hope I helped!!!

The correct answer is C. 138
It is a supplementary angle which has a total of 180 degrees so if you take the given angle (42) and do 180-42 you get 138

Which outcome is most likely after a die is rolled?
A.
B.
A number greater than 6
A number less than 6
A number less than 3
A number less than 2
C.
D.​

Answers

Answer:

a number less then 6 is the anser so the 1st one

The heights of male students are normally distributed with a mean of 158 cm and a

standard deviation of 5 cm.


Find the percentage of male students who are between 145 cm and 170 cm.


Round your

answers to the nearest hundredths.

Answers

Answer: The percentage of male students who are between 145 cm and 170 cm = 98.71%

Step-by-step explanation:

Let x denotes the height of male students.

As per given,

[tex]\mu=158,\sigma=5[/tex]

The probability of male students who are between 145 cm and 170 cm

= [tex]P(145<X<170)[/tex]

[tex]=P(\dfrac{145-158}{5}<\dfrac{X-\mu}{\sigma}<\dfrac{170-158}{5})\\\\=P(-2.6<Z<2.4)\\\\=P(Z<2.4)-P(Z<-2.6)\\\\=P(Z<2.4)-(1-P(2.6))\\\\=0.9918-(1-0.9953)\\\\= $$0.9871[/tex]

Hence, the percentage of male students who are between 145 cm and 170 cm = 98.71%

A distance of 8.5 kilometers is equivalent to 850 meters.
True
False

Answers

False

Explanation:
1 kilometer = 1,000 meters

Multiply both by 8.5:
8.5 kilometers = 8,500

Have a nice day, hope this helps
Brainliest is appreciated if my answer is
correct!
-SpaceMarsh, have a nice day!

Answer:

true

Step-by-step explanation:

Margo borrows $200, agreeing to pay it back with 2% annual interest after 16 months. How much interest will she pay?

Answers

Answer:

$4

Step-by-step explanation:

2/100 x 200 = 4

Clara goes minature golfing. She pays $7.50 admission and $6.25 for each round of she golfs. The total amount Clara pays including admission and the rounds of golf is $26.25. Which equation can be used to determine the number of rounds of golf she did?

Answers

Answer:

The equation that can be used to determine the number of rounds of golf she did

7.50 + 6.25x = 26.25

Which is a quadratic equation?
a. y=x+9
b. y=2x-15
c. y=x^2+2x-7
d. y=x^3-x^2

Answers

Answer:

c. y=x^2+2x-7

Step-by-step explanation:

A linear function has the highest power of 1   (x)

A quadratic has the highest power of 2  (x^2)

A cubic has the highest power of 3  ( x^2)

a. y=x+9  linear

b. y=2x-15  linear

c. y=x^2+2x-7  quadratic

d. y=x^3-x^2 cubic

Quadratic Function is the equation that takes form of:

[tex] \large \boxed{y = a {x}^{2} + bx + c}[/tex]

where a, b and c both are real number and a ≠ 0.

The first and second choices are linear equation because it's in the form of y = mx+b.

The last choice is a cubic equation since it has the third degree x³.

Remember that the quadratic equation can be ax²+bx+c = 0 or y = ax²+bx+c only.

Answer

y = x²+2x-7

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

77 - 2n

Step-by-step explanation:

77 is being subtracted by a number doubled. Therefore, 77 - 2n is the expression.

Use a variable for the unknown number so it would be 77-2x also if you don't know a number and a variable together means to multiply them

Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/4635862-77-decreased-by-twice-of-a-number.html

If I roll 3 Dice .. What is the probability that I roll, a Even Number, and Odd Number, and a number bigger than 3. (P even, odd and >3)

Answers

The probability of rolling an even number, odd number and a number bigger than three is ½ or 50%.

Which number is a composite number?
A:17
B:37
C:13
D:63

Answers

Answer:

D. 63

Step-by-step explanation:

It has more than two factors. (composite)

Answer:

D. 63

Step-by-step explanation:

17 = 1 × 17

37 = 1 × 37

13 = 1 × 13

63 = 3 × 3 × 7

Which of these tables represents a function?​
(Pleasee it's urgent!!!!)))

Answers

Answer:

laaa umm la w..............

You own a house with an appraised value of $300,000. Your equity in the home is $125,000. What is your mortgage balance?

Answers

Answer:

The mortgage balance is $175,000

Step-by-step explanation:

Remember:  House value = equity + mortgage.  Therefore,

                     $300,000     = $125,000 + mortgage balance

The mortgage balance is $175,000.

You might need:

Calculator

Kenji runs a channel where he uploads and shares videos that he makes. He noticed an exponential

relationship between how long his videos have been posted and the number of times each video has been

viewed.

Kenji took the natural logarithm for the numbers of views only, and he noticed a linear relationship

between the how long his videos have been posted and the transformed numbers of views

Here's the least-squares regression equation for the transformed data, where "time" represents days since

posting, and "views" is the number of views

In(views) = 0.81(time) + 3.15

According to this model, what is the predicted number of views on a video that's been posted for 3 days?

You may round your answer to the nearest whole number.

views

Show Calculator

Answers

Using the logarithmic function, it is found that the predicted number of views of the video after 3 days is of 57.

The function that represented the relationship between the time in days and the number of views is given by:

[tex]\ln{v} = 0.81\ln{t} + 3.15[/tex]

We want the number of views after 3 days, thus, [tex]t = 3[/tex], and we have to solve for v.

[tex]\ln{v} = 0.81\ln{3} + 3.15[/tex]

[tex]\ln{v} = 0.89 + 3.15[/tex]

[tex]\ln{v} = 4.04[/tex]

[tex]e^{\ln{v}} = e^{4.04}[/tex]

[tex]v = 57[/tex]

57 views.

A similar problem is given at https://brainly.com/question/24286043

Explain Please
x =
8
10
9

Answers

Answer:

X = 8

Step-by-step explanation:

The given parameter are;

The length of the segments of the chords are;

Lengths of segments in Chord 1; 5, and X

Lengths of segments in Chord 2; 4, and 10

According to the Intersecting Chords Theorem, where we have two intersecting chords or secants, then, the result of multiplying the segments of one chord is equal to the result obtained from multiplying the segments of the other chord, therefore according to the theorem, we have;

5 × X = 4 × 10

∴ X = 4 × 10/5 = 8

X = 8.

Factor 56−16 using the GCF.
do not give me a link

Answers

F of 56 :- 2 × 2 × 2 × 7

F of 16 :- 2 × 2 × 2 × 2

HCF of 56 - 15 is 6 .

I need help with this question please

Answers

Answer:

angel BAC=CBD

BAC=43°because CBD also 43°

f^3+11g-4hf 3 +11g−4hf, cubed, plus, 11, g, minus, 4, h when f=3f=3f, equals, 3, g=2g=2g, equals, 2 and h=7h=7h, equals, 7.

Answers

Given:

The expression is:

[tex]f^3+11g-4h[/tex]

The given values are [tex]f=3,\ g=2,\ h=7[/tex].

To find:

The value of the given expression for the given values.

Solution:

We have,

[tex]f^3+11g-4h[/tex]

After substituting [tex]f=3,\ g=2,\ h=7[/tex], we get

[tex]f^3+11g-4h=(3)^3+11(2)-4(7)[/tex]

[tex]f^3+11g-4h=27+22-28[/tex]

[tex]f^3+11g-4h=49-28[/tex]

[tex]f^3+11g-4h=21[/tex]

Therefore, the value of the given expression is 21.


Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
more than $408.

Answers

Answer:

43 hours

Step-by-step explanation:

[tex]\frac{y}{1} :\frac{408}{9.5}[/tex]

y × 9.5 = 408 × 1

9.5y = 408

9.5y ÷ 9.5 = 408 ÷ 9.5

[tex]y=42\frac{18}{19}[/tex]

43 hours

9.50x>=408
____ ___
9.50 9.50

X> = 42.9 or 43

So 43 hours

multiply the following using the vertical multiplication method: 3x^2+5x+1×x^2-2x+4​

Answers

Answer!4x² + 3x + 4Solution!

__________________________

Step 1: Combine 3x² and 1x² to get 4x²

Step 2: Combine 5x and -2x to get 3x

3x² + 5x + 1 × x² - 2x + 4

= 4x² + 5x - 2x + 4= 4x² + 3x + 4

___________________________

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