My question... please answer asap

The graphs intersect at the points (3, 13) and (-2, -7).

Given the following equations:

y₁ = x² + 3x - 5  (quadratic equation)

y₂ = 4x + 1 (linear equation)

To find the intersection point(s) of  the two graphs, we need to solve their equations simultaneously. By so doing, we'll set the equations equal to each other:

y₁ = y₂

x² + 3x - 5 = 4x + 1

collect the like terms

x² - x - 6 = 0

Now we'll factor the quadratic expression:

(x - 3)(x + 2) = 0

x - 3 = 0 or x + 2 = 0

x = 3 or x = -2

Now we have the points of intersection on the x-axis.

To get the corresponding  values on the y-axis, we'll plug each value of x into either of the original equations.

Let's use the first equation:

y₁ = x² + 3x - 5

When x = 3:

y₁ = 3² + 3(3) - 5 = 13

When x = -2:

y₂ = 4x + 1 = 4(-2) + 1 = -7

So the first intersection point is (3, 13) and the second intersection point is (-2, -7).

Therefore, the graphs intersect at the points (3, 13) and (-2, -7).

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Answer:

a₅ = -3125

Step-by-step explanation:

Given that,

a₁ = -5, r = 5 and n = 5

The geometric sequence is given by :

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Put all the values,

[tex]a_5=-5\times 5^{5-1}\\\\=-5\times 5^4\\\\=-3125[/tex]

So, the fifth term is equal to -3125.

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

"It is the length of the line joining the two points."

In any triangle,

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

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Answer:

87 m²

Step-by-step explanation:

The picnic area is the white inner rectangle, while the courtyard is the outer pink rectangle.

The area of the courtyard available for use = area of the pink rectangle - area of the white rectangle

✔️Area of the courtyard (pink rectangle) = L*W

L = 13 m

W = 7 m

Area of pink rectangle = 13*7 = 91 m²

✔️Area of the picnic (white rectangle) = L*W

L = 4 m

W = 1 m

Area = 4*1 = 4 m²

✅Area available in the courtyard for use = 91 m² - 4 m² = 87 m²

Answer:

x = 2

Step-by-step explanation:

Answer:

Amount of Tax = $19.97

Tax Rate = 28%

Step-by-step explanation:

Amount of Tax = $71.97 - $52 = $19.97

Tax Rate = 19.97/71.97 × 100

= 0.28 × 100 = 28%

Answer:

B and C

Step-by-step explanation:

because AC is shorter than DF

because AB is different to DE

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Set up the proportion

[tex] \frac{3}{6} = \frac{7}{6 + x} [/tex]

[tex]18 + 3x = 42[/tex]

[tex]3x = 24[/tex]

[tex]x = 8[/tex]

Answer:

x= 2.432

Step-by-step explanation:

Answer:

He first rapped as a duo named Dj Jazzy Jeff and the fresh prince in 1988, with the hit songs Summertime and Parents just don't understand

He then started his career as an actor with the hit sitcom The fresh prince of Bel-air in 1990

He then later gained more popularity in 1997 with hit songs like Gettin jiggy and Miami

He became a well-known actor for movies like Bad boys, Men in black, and the Aladin remake in 2019

Step-by-step explanation:

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Pls pick me as Brainliest!

Answer:

If you want an expression answer (Simplify):

= 7/4a - 11

If you want an answer to the variable a (Find 'a'):

7/4a - 11 = 0

7/4a = 11

a = 44/7

Step-by-step explanation:

3/4(5a - 16) - 1/3(6a - 3)

= 15/4a - 12 - 2a + 1

= 7/4a - 11

Answer:

so fun and amazing!

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -1/3x + 2

    b = 2

Answer:

since negative 1/3 is the slope and x is the point on the x axis , 2 is the y intercept

Answer:

The answer is y-x

Step-by-step explanation:

Applying the rule that    |y| = y when y>0, we can plug in the values of y-x instead of y.

So, |y-x| = y-x if y>0

Answer:

The answer is B. 9a2-30a+25

Step-by-step explanation:

First of all, the second sign is going to be +, so you can toss out C and D without checking.

Then you take the square root of the two ends, multiply them, multiply by two and see if it matches.

sqrt(49) * sqrt(16) = 7 * 4 = 28

28 * 2 = 56

56 <> 28

So toss A.

sqrt(9) * sqrt(25) = 3 * 5 = 15

15 * 2 = 30

So the answer is B

(3a - 5)^2 = 9a^2 - 30a + 25

By the way, use ^ to indicate an exponent.

Answer:

3/8

Step-by-step explanation:

........ur welcome.........

6/8 - 3/8

Answer:

3/8

Step-by-step explanation:

6/8-3/8 =38 your welcome guys;)

Answer:

$632

Step-by-step explanation:

Set up an equation:

$30(20 hours) + ($400 × 0.08)

$600 + $32

$632

Answer:

John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which fffadasdequation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? John is buying shirts for his softball team.  He will pay a one-time processing fee of $27.50 and $12.75 per each shirt ordered.  Which equation can be used to find y, the total cost to buy xshirts? vv

Step-by-step explanation:

Answer:

x = 35

Step-by-step explanation:

Angles sum of a triangle = 180

That being said we want to create an equation to solve for x

180 = 2x - 8 + x - 7 + 90 ( there is a right angle indicated by the little square; a right angle has a measure of 90 degrees, so just in case you were wondering that's where the 90 came from )

now we solve for x

step 1 combine like terms

2x + x = 3x

90 - 7 - 8 = 75

now we have 180 = 75 + 3x

step 2 subtract 75 from each side

180 - 75 = 105

75 - 75 cancels out

Now we have 105 = 3x

step 3 divide each side by 3

105 / 3 = 35

3x/3=x

we're left with x = 35

Answer:

4,3

Step-by-step explanation:

Answer:

I = $ 6.00

Step-by-step explanation:

Equation:

I = Prt

Calculation:

First, converting R percent to r a decimal

r = R/100 = 10%/100 = 0.1 per year,

then, solving our equation

I = 60 × 0.1 × 1 = 6

I = $ 6.00

The simple interest accumulated

on a principal of $ 60.00

at a rate of 10% per year

for 1 years is $ 6.00.

Step-by-step explanation:                                                                                                                   coxhck dewmsaksak sadjnsajmksa

Answer:

Step-by-step explanation:

x = 2

step-by-step explanation:

if sr parallel to ba then the sides bc and ac are in proportion, that is

\frac{sb}{cs} = \frac{ra}{cr} ← substitute values

\frac{4x+1}{2x} = \frac{13.5}{6} ( cross- multiply )

27x = 6(4x + 1)

27x = 24x + 6 ( subtract 24x from both sides )

3x = 6 ( divide both sides by 3 )

x = 2

Answer:

3:8

30/80

18 to 48

Step-by-step explanation:

3:8 (6 and 16 divided by 2)

30/80 (6 and 16 times 5)

18 to 48 (6 and 16 times 3)

Answer:

Hi! The answer to your question is x=-2 and y=3

Step-by-step explanation:

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☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

x= 4-2y and y= 2- 1/2x

now gimme my cookie

Answer:

m<H = 62°

Step-by-step explanation:

If FG is congruent to HF, it means their opposite angles are also congruent to each other. This implies that, <H = <G. Thus, ∆FGH is an isosceles triangle with base angles <F and <G.

Given that m<F = 56°, therefore:

56° + 2(m<H) = 180° (sum of triangle)

2(m<H) = 180° - 56°

2(m<H) = 124°

m<H = 124/2

m<H = 62°

Answer:

a

Step-by-step explanation: