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3 years ago

4.9.18

Mathematics

2 answers:

Ivanshal [37]3 years ago

7 0

Answer:

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

Step-by-step explanation:

Given the 2 equations

y = x² + 5x + 10 → (1)

y = - x + 5 → (2)

Substitute y = x² + 5x + 10 into (2)

x² + 5x 6+ 10 = - x + 5 ( subtract - x + 5 from both sides )

x² + 6x + 5 = 0 ← in standard form

(x + 1)(x + 5) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 1 = 0 ⇒ x = - 1

x + 5 = 0 ⇒ x = - 5

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

x = - 5 : y = - (- 5) + 5 = 5 + 5 = 10 ⇒ (- 5, 10 )

x = - 1 : y = - (- 1) + 5 = 1 + 5 = 6 ⇒ (- 1, 6 )

Kruka [31]3 years ago

3 0

Answer:

x= -5 or -1

Step-by-step explanation:

subst y = -x + 5 into y = x^2 + 5x + 10

-x +5 = x^2 + 5x +10

x^2 +6x +5 = 0

(x+5)(x+1)=0

x= -5 or -1

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3 years ago

Help with 6 a and b please

34kurt

Answer:

a) $y=\frac{50}{x}$

b) $y=25$ when $x=2$

Step-by-step explanation:

$y=\frac{k}{x}$ since y varies inversely with x.

We need to find the constant, k.

Let's use a point (x,y) on the curve.

We are given an (x,y)=(5,10):

$10=\frac{k}{5}$

Multiply both sides by 5:

$10(5)=k$

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8 0

2 years ago

Find the slope of the line through the given points (9,2) and (7,8)

Kipish [7]

The velocity, slope, of a line is always (y2-y1)/(x2-x1), in this case:

slope=(8-2)/(7-9)=6/-2=-3

m=-3

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2 years ago

Two fewer than a number doubled is the same as the number decreased by 38. if n is "the number," which equation could be used to

Alona [7]

$\displaystyle \\ 
\text{We use the following equation:} \\ \\ 
 \frac{n}{2} = n - 38 \\ \\ 
We solve for n: \\ \\ 
 \frac{n}{2} = n - 38 ~~\Big| \times 2 \\ \\ 
n = 2 \times n - 2 \times 38 \\ \\ 
n = 2n - 76 \\ \\ 
2n - n = 76 \\ \\ 
\boxed{n = 76} \\ \\ 
\text{Verification: } \\ \\ 
\frac{n}{2} = n - 38 \\ \\ 
\frac{76}{2} = 76 - 38 \\ \\ 
\boxed{38 = 38 ~~~ Correct }$

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3 years ago

4.06 Question 4

sleet_krkn [62]

Answer:

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y < −3x + 3

y < x + 2

using a graph tool

see the attached figure

the answer is

the answer isThe point (1, −5) lie in the solution set

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2 years ago

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