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kvv77 [185]
3 years ago
12

Find the solution to the system of equations.

Mathematics
1 answer:
N76 [4]3 years ago
5 0

Answer:

x = -2, y = 5.

Step-by-step explanation:

y=−4x−3

y=−2x+1

Because y is common to both left sides:

-4x - 3 = -2x + 1

-4x + 2x = 1 + 3

-2x = 4

x = 4/-2

x = -2.

So y = -4(-2) - 3

= 8 - 3

= 5 .

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Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spen
tino4ka555 [31]

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

5 0
3 years ago
Question 1
melomori [17]

Answer: C

Step-by-step explanation:l

4 0
4 years ago
Cómo seyama lacigiente sifra 12.58<br>​
jenyasd209 [6]

Answer:

35

Step-by-step explanation:

because when you add or do everything you get it

6 0
3 years ago
In △MNK MN = NK, m∠N = 110º, MK = 5. Find MN.
alexgriva [62]

Answer:

MN = 3.03 ≈ 3

Step-by-step explanation:

Given: In ΔMNK MN = NK , m∠N = 110° and MK = 5.

To find: MN = ?

Sol: In ΔMNK,

∠M + ∠N + ∠K = 180°  (sum of angles of a triangle)

2∠M = 180° - 110°  ( ∠M =∠K since MN = MK)

∠M = 70°/2 = 35°

∴ ∠M = ∠K = 35°

Now, Using Sine Rule for finding sides,  

\frac{m}{sinM} = \frac{n}{sinN} = \frac{k}{SinK}

\frac{k}{sinK} = \frac{n}{sinN}

\frac{5}{sin 110^{\circ}} = \frac{k}{sin 35^{\circ}}

k = \frac{5 sin 35^{\circ}}{sin 110^{\circ}}

Now ∵ sin 35° = 0.57 and sin 110° = 0.94 approx.

By substituting these values in above expression,

k = \frac{5 \times 0.57}{0.94}

k = \frac{2.85}{0.94}

k = 3.03

Therefore, MN = 3 approx.        

8 0
3 years ago
Find the degree of the polynomial function.<br> f(x) = -16x3 - 7x2 - 1
Free_Kalibri [48]

Answer:

3

Step-by-step explanation:

Assuming you meant f(x)=-16x^{3}-7x^{2} -1 the degree is 3. The degree of a polynomial is always the highest degree one single term has. In this -16x^{3} has a degree of 3, which is the highest in the polynomial, and therefore the answer. The degree of a term is the exponent or what the power of the term is. If the polynomial is in standard form, the degree will always be the first exponent.

4 0
3 years ago
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