Solve the following system by substitution.

{

y = x2 + 6x + 10

y = -X+4

Select the correct choice and fill in any answer

- the solution(s) is/are :

- there is no solution

**Answer:**

(- 6, 10 ) and (- 1, 5 )

**Step-by-step explanation:**

Given the 2 equations

y = x² + 6x + 10 → (1)

y = - x + 4 → (2)

Substitute y = x² + 6x + 10 into (2)

x² + 6x + 10 = - x + 4 ( subtract - x + 4 from both sides )

x² + 7x + 6 = 0 ← in standard form

(x + 1)(x + 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 6 = 0 ⇒ x = - 6

Equate these values into (2) for corresponding values of y

x = - 1 : y = - (- 1) + 4 = 1 + 4 = 5 ⇒ (- 1, 5 )

x = - 6 : y = - (- 6) + 4 = 6 + 4 = 10 ⇒ (- 6, 10 )

Solve this system of equations using substitution:

y = 2x - 4

x + 2y = 10

**Answer:**

x + 2y = 10 = x + y = 5

**Step-by-step explanation:**

x + 2y = 10

divide 2 by 10

x + y = 5

This is all I really know how to do sorry

Graph the equation below by plotting the

y-intercept and a second point on the

line. When you click Done, your line will

appear.

**Answer:**

**Step-by-step explanation:**

**Answer: Second point is (0.833,0)**

**Step-by-step explanation:**

1. To determine slope you must use this formula Y= Mx + B

- M is the slope (positive or negative)

- B is the y-intercept

2. To find y-intercept you use (0, B)

3. M = -6/1

- 6 units down and 1 unit to the right since the slope is negative.

i just need the work for 11 & 12. i know the answer for 11 is (16,4) and 12 is (5,7) but i don’t know how to work it out to get those answers. (solving a system of linear equations)

**Answer:**

**Step-by-step explanation:**let x be the number of bicycles,

let y be the number of tricycles

given x+y=20→equation 1

also given 2x+3y=44→equation 2

from eq 1, y=20-x

substitudin ineq 2

2x+3(20-x)=44

2x+60-3x=44

60-x=44

-x=44-60

=-16

x=+16

then y=20-16=4

no of bicycles=16

no of tricycles=4

hope this helps

plzz mark me brainliest

Brainliest and 10 points for answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

How do you find the x- and y-intercepts of an equation?

A) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for x.

B) To find the x-intercept, substitute 0 for x. To find the y-intercept, substitute 0 for y.

C) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for x.

D) To find the x-intercept, substitute 0 for y. To find the y-intercept, substitute 0 for y.

**Answer:**

To find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'.

**Answer:**

C

**Step-by-step explanation:**

A, B, and D don't make sense

Twenty people apply for an open position at an accountant's office. The distribution of ages of the applicants is shown in the box plot.

Distribution of Applicant's Ages

How many of

age in years

the applicants have ages that fall within the box of the box plot?

Please help!!!!

Answer:

The number of applicants that have ages that fall within the box of the boxplot = 10.

Step-by-step explanation:

box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value.

The boxplot usually consists of a box and a whisker plot.

The whiskers represent data that is less than the first quartile or 25th percentile and data that is more than the third quartile or 75th percentile.

The box of the boxplot is bounded by the first quartile or 25th percentile and the third quartile or 75th percentile.

Hence, the fraction of the distribution that is usually contained in the box of the boxplot is (75 - 25), 50% of the distribution.

The total number of applicants = 20

50% of 20 = 10.

Hence, the number of applicants that have ages that fall within the box of the boxplot = 10

Hope this Helps!!!

X is at least 2" can be represented by x > 2.

True

False

**Answer:**

True

**Step-by-step explanation:**

Answer: False

Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign

hope this helped! :)

Explanation: if x was atleast 2, the sign would have to be a ‘greater than or equal to’ sign, not just a greater than sign

hope this helped! :)

A runner won a 100-meter race with a time of 9.73 seconds. How can you use place value to explain this time?

Answer: The runner is going exactly 10.2774922919 meters per second

Step-by-step explanation: Using the ratio 100:9.73, we can simplify that to 10.2774922919:1

Complete 4 A,B 9 for points.

Answer:

R = (1/t) (A/P - 1)

T = (1/r) (A/P - 1)

Write and solve an inequality, You want to save at least $100. How much do you need to save if you start with $37?

**Answer:**

$63 is the answer

**Step-by-step explanation:**

100-37=63

Can someone explain this step by step

**Answer:**

**Step-by-step explanation:**

[tex]1)\sqrt[4]{81h^{4}}=\sqrt[4]{3*3*3*3*h^{4}}\\\\=\sqrt[4]{3^{4}*h^{4}}\\\\ =3*h\\\\=3h[/tex]

A 20-inch bicycle has tires with a diameter of 20 inches. What is the circumference of these tires?

31.4 inches

62.8 inches

314 inches

1256 inches

**Answer:B**

**Step-by-step explanation:**

c=2nr or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 **inches**.

Circumference of a circle is defined for **non straight **curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a **diameter **of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is **half **of the diameter of it.

**Radius **of the tire = 20 / 2 = 10 inches

Circumference of a **circular **object = 2πr, r is the radius.

Circumference of the tire = 2π r

= 2 (3.14) (10)

= 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

Learn more about **Circumference **here :

https://brainly.com/question/4268218

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Yehudy invested $19.250 in a simple interest account. After 6 years and no additional deposits or withdrawals, the account balance was

$22.957.55. Find the interest rate for the account. Round to the nearest hundredth of a percent if needed

Answer: 3.21%

Step-by-step explanation:

Interest = (1/t)(A/P - 1)

How to change miles per hour to feet per second?

**Answer:**

1 mph = 1.46666667 fps

Jarods bicycle wheel has a diameter of 27 inches. How far will the wheel have traveled in one full rotation? Use 3.14 for pi

**Answer:**

84.78 in

**Step-by-step explanation:**

in order to figure out how long it will travel you will need to find the circumference in order to do that you have to do [tex]2 *\pi * radius[/tex] so that is [tex]2*3.14*13.5[/tex] which equals 84.78

On a coordinate plane, a curved line crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 0.25). The line exits the plane at (negative 2, negative 6) and (2, 6). Which statement is true about the end behavior of the graphed function?

**Answer:**

b

**Step-by-step explanation:**

hope this helps

**Answer:**

b

**Step-by-step explanation:**

Find the slope of the line

**Answer:**

**A) 3/2**

**Step-by-step explanation:**

slope of the line equation:

m (slope) = (y₂ - y₁)/(x₂ - x₁)

Let:

(x₁ , y₁) = (-3 , -3)

(x₂ , y₂) = (1 , 3)

Plug in corresponding numbers to the corresponding variables:

m = (3 - (-3))/(1 - (-3))

Simplify:

m = (3 + 3)/(1 + 3)

m = (6)/(4)

m = 3/2

**A) 3/2** is your slope.

~

**Answer:**

the answer is three over two 3/2

**Step-by-step explanation:**

the equation is

Ya-Yb

divided by

Xa-Xb

so basically:

-3-3/-3-1

Math question down below

**Answer:**

E

E is the only one that ends with 70 and is also all multiples of 6.

If there are 7 people in a family, 4 grandparents, a grandchild a mom and dad, what is the average age of each person, if all together they are 381 years old?

Answer: 54.43

Step-by-step explanation:

381 / 7

What is the mean absolute deviation of this data set? 26, 31, 32, and 39

**Answer:**

3.5

**Step-by-step explanation:**

26, 31, 32, and 39

First we need to find the mean

(26+ 31+ 32+ 39) /4

128/4 = 32

The mean absolute deviation is sum of the positive difference between the number and the mean divided by the number of terms

((32-26)+ (32-31)+ (32-32)+ (39-32)) /4

14/4

3.5

What is the surface area of this design?

**Answer:**

440 inches squared - the last option

**Step-by-step explanation:**

Step 1. Surface area of top square.

5 x 5 = 25 inches sq

Step 2. Surface area of the 4 sides of the cuboid.

5 x 8 = 40 inches sq

40 x 4 = 160 inches sq

Step 3. Surface area of the large square.

10 x 10 = 100 inches sq

100 - 25 (because it's being covered) = 75 inches sq

Step 4. Surface area of the 4 sides of the large flat cuboid.

2 x 10 = 20 inches sq

20 x 4 = 80 inches sq

Step 5. (OPTIONAL) Surface area of the bottom

10 x 10 = 100 inches sq

Step 6. Add up all.

25 + 160 + 75 + 80 (+ 100 if including the base) = 340

We can conclude that we have to include the base as well because 340 inches sq is not an option listed.

340 + 100 = 440 inches sq

440 inches sq is the last option

Hope this helps :)

Which number sentence is true?

A. 78 = 68

B. 78 < 69

C. 78 = 75

D. 78 < 81

E. 78 > 84

Answer: the answer choice “d” is correct

Step-by-step explanation:

because the different symbols mean different things and yeah

**Answer:**

D

**Step-by-step explanation:**

lesser value ------- < --------This side bigger value {open mouth}

78 < 81

81 is bigger than 78

1 point

The probability of rain on Sunday is 0.7 and the probability of rain on Monday is 0.2.

What is the probability that it rains on BOTH Monday and Tuesday?

Write your answer as a decimal rounded to the nearest hundredth (2 decimal places).

Type your answer...

Answer:

0.03

Step-by-step explanation:

Given data

Probability that it will rain on Sunday= 0.7

Probability that it will rain on Monday = 0.2

Firstly we need to solve for the probability that it will rain on Tuesday

Sample space S = number of week days = 7

Probability that I will rain on Tuesday = 1/7= 0.14

Hence the probability that it rains on BOTH Monday and Tuesday= 0.2*0.14= 0.028

Rounding up the nearest hundredths = 0.03

100 POINTS!!! NO JOKE!!! (IF YOU ANSWER THE QUESTIONS) It's a little time consuming but I want to see who can answer the fastest. I would really appreciate the answers to these asap. ONLY ANSWER IF YOU KNOW HOW TO DO THESE!!! They're easy but I don't want to do them.

Appreciate = Will mark Brainliest if correct

Thanks so much

**Answer:**

1. x = -4

y = -20

2. x = -1

y = 3

3. x = 7

y = 4

4. x = -6.5

y = -10.5

hope this helps :) sorry if I get it wrong!

**Answer:**

1) x=−4, y=−20

2) x=−1, y=3

3) x = 7 , y=4

4) x = -6.5 , y = -10.5

**Step-by-step explanation:**

1) y=5x;−3x+2y=−28

solving system by substitution:

substitute y =5x into 2nd equation:

-3x +2*5x =-28 → -3x+10x = -28 → 7x = -28 → x = -4

plug in x in any equation and solve for y = 5* -4 = -20

2) solving system by elimination:

Multiply the first equation by 7, and the second equation by 5.

7(4x−5y=−19)

5(3x+7y=18)

----------------------

28x−35y=−133

15x+ 35y= 90

Add them up to eliminate y:

43x=−43 divide both sides by 43

x=−1

plug x back into 1st equation to solve for y

4x−5y=−19

(4)(−1)−5y=−19

−5y−4=−19 add 4 to both sides

−5y=−15 divide by -5

y=3

3) y =4 , 5x -6y = 11

plug in 4 for y in 2nd equation and solve for x:

5x -6* 4 =11 simplify

5x - 24 = 11 add 24 on each side

5x = 11 +24 simplify

5x = 35 divide by 5 on each side

x =7

4) y = x -4, 2x - y = -2.5

use substitution method:

2x -(x-4) = -2.5 distribute ( )

2x-x+4 = -2.5 simplify

x + 4 = -2.5 subtract 4 on each side

x = -2.5 -4

x = -6.5

plug in -6.5 for x in 1st equation and solve for y:

y = -6.5 -4

y = -10.5

The amounts of Cathy’s last six clothing purchases were $109, $72, $99, $15, $99, and $89. For each question, choose the mean, median, or mode and give its value.

C.) Which value would Cathy NOT tell her parents to convince them that she needs an increase in her allowance?

{I only need help on part C}

Answer:

The mean value = $80.5

Step-by-step explanation:

The value of her last six spendings are $109, $72, $99, $15, $99, and $89.

For the mean.

Mean = Total spendings/number

Mean =483/6

Mean = $80.5

For the median.

Lets arrange it in ascending order

$15 ,$72, $89, $99, $99, $109

The middle values are two.

Median = (89+99)/2

Median = 188/2

Median = $94

For the mode

$15 ,$72, $89, $99, $99, $109

Highest occuring is $99 with two frequencies.

To convince her parents that she needs an increase in allowance she would show them the bigger spendings .

So the least value on the list it's mean value which is $80.5.

HELP ASAP 30 POINTS!~!!!

You start with a penny which doubles each day for 30 days. How much money would you have after 30 days?

I got 536870912 hope this helps

Declan says that for any number n, the product 4x n is greater than 4. Which value of n shows why Declan is incorrect

**Answer:**

[tex]n > 1[/tex]

**Step-by-step explanation:**

**Given**

Statement: 4x n is greater than 4

**Required**

Value of n

First we need to rewrite the statement in algebraic form;

Product 4 * n is represented by 4n

greater than 4 is represented by > 4

**Bringing these two together, it gives the following**

[tex]4n > 4[/tex]

**Divide through by 4**

[tex]\frac{4n}{4} > \frac{4}{4}[/tex]

[tex]n > 1[/tex]

**We've arrive at solution;**

This means that n is greater than 1

So, the values of n must start from 2 to show that the condition is true

The **value **of** n = 7/8 **makes the **inequality 4n > 4 false **because 7/8 is less than 1.

It is defined as the **expression **in **mathematics **in which both sides are **not equal **they have **mathematical **signs either **less **than or **greater than**, known as **inequality**.

We have n as a number.

4n > 4

Plug n = 5

20 > 4 (true)

Plug n = 9/5

36/4 > 4

9 > 4 (true)

Plug n = 3

12 > 4 (true)

Plug n = 7/8

28/8 > 4

**3.5 > 4 (false)**

Thus, the **value **of** n = 7/8 **makes the **inequality 4n > 4 false **because 7/8 is less than 1.

Learn more about the **inequality **here:

brainly.com/question/19491153

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What is the value of x in the figure? Enter your answer in the box.

HELP IMMEDIATELY!

**Answer:**

**Step-by-step explanation:**

145 = 2x + 15

2x = 130

x = 65 (ANS)

**Answer:**

65º

**Step-by-step explanation:**

145º = (2x + 15)º

145º = (2x + 15)º

145º - 15º = 2xº + 15º - 15º

130º = (2x)º

x = 65º

wil give bianleast

What are the first four terms in the multiplication pattern given by the formula: 2 • 4n?

8, 32, 128, 512

8, 32, 64, 512

2, 8, 32, 128,

32, 128, 512, 2048

**Answer: B, but technically, all of them are correct except C.**

**Step-by-step explanation:**

First, you fill in 1 for n:

= 2 x 4(1)

= 2 x 4

= 8

Next, I filled in 4 for n:

= 2 x 4(4)

= 2 x 16

= 32

Then, I filled in 8 for n:

= 2 x 4(8)

= 2 x 32

= 64

You can already figure this one out, and the answer is B.

**Answer:**

all are correct except the third choice.

The volume of this square pyramid is 200in^3. Find the value of x.

**Answer:**

**x = 5 in.**

**Step-by-step explanation:**

Volume = 1/3 * area of the base * height

200 = 1/3 * 8*15 * x

200 = 40x

**x = 5 in.**

Is this angle acute right obtuse or straight

**Answer:**

obtuse

**Step-by-step explanation:**

Over 90 degrees

**Answer:**

Obtuse

**Step-by-step explanation:**

The angle is obtuse because the angle is more than 90 degrees.

In NOP, the measure of P=90, OP = 31 feet, and NO = 39 feet. Find the measure of N to the nearest tenth of a degree
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On January 1, 2021, the Blackstone Corporation purchased a tract of land (site number 11) with a building for $600,000. Additionally, Blackstone paid a real estate brokers commission of $36,000, legal fees of $6,000, and title insurance of $18,000. The closing statement indicated that the land value was $500,000 and the building value was $100,000. Shortly after acquisition, the building was razed at a cost of $75,000.Blackstone entered into a $3,000,000 fixed-price contract with Barnett Builders, Inc., on March 1, 2021, for the construction of an office building on land site 11. The building was completed and occupied on September 30, 2022. Additional construction costs were incurred as follows:Plans, specifications, and blueprints .....................$ 12,000Architects fees for design and supervision ............95,000To finance the construction cost, Blackstone borrowed $3,000,000 on March 1, 2021. The loan is payable in 10 annual installments of $300,000 plus interest at the rate of 14%. Blackstones average amounts of accumulated building construction expenditures were as follows:For the period March 1 to December 31, 2021 ...........$ 900,000For the period January 1 to September 30, 2022 .......2,300,000Required:1. Prepare a schedule that discloses the individual costs making up the balance in the land account in respect of land site 11 as of September 30, 2022.2. Prepare a schedule that discloses the individual costs that should be capitalized in the office building account as of September 30, 2022.
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