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vredina [299]
2 years ago
14

Which statements are true about the ordered pair (−4, 0) and the system of equations? {2x+y=−8x−y=−4

Mathematics
1 answer:
Reil [10]2 years ago
8 0
<span>Selections (a, b, d) are the most correct answers. To begin, 2x is equal to -8 when x is (-4). Adding 0 to this (for y) gives -8, which is the answer for the first equation. Doing the same for the second equation gives (-4 - 0) = -4, which shows that the second equation is also correct. Since both equations are satisfied by this ordered pair, it shows that the pair (-4,0) is a solution to the entire system.</span>
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Lucy is knitting a blanket and needs to buy some more yarn. at her local craft store, 2 skeins of yarn cost $7 and 8 skeins of y
laila [671]

Answer:

4

Step-by-step explanation:

Proportionality between skein values

8:2=4:1

Proportionality between cost values

28:7=4:1

The variation(both the skein values and cost values) has the constant of 4 ie the 1st skein value × 4= the last skein value & the 1st cost value × 4=the last cost value

7 0
1 year ago
Find the vector and parametric equations for the line through the point P(0, 0, 5) and orthogonal to the plane −1x+3y−3z=1. Vect
yulyashka [42]

Answer:

Note that orthogonal to the plane means perpendicular to the plane.

Step-by-step explanation:

-1x+3y-3z=1 can also be written as -1x+3y-3z=0

The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).

Let us find a point on this  line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively

Therefore, the vector equation is given as:

-1(x-0) + 3(y-0) + -3(z-5) = 0

-x + 3y + (-3z+15) = 0

-x + 3y -3z + 15 = 0

Multiply through by - to get a positive x coordinate to give

x - 3y + 3z - 15 = 0

4 0
2 years ago
About 15​% of the population of a large country is allergic to pollenallergic to pollen. if two people are randomly​ selected, w
zubka84 [21]
P(allergic) = 0.15

P(both are allergic to pollen) = (0.15)² = 0.0225 (you can use the binomial probability also)

Q(NOT allergic to pollen) = 1 - 0.0225 = 0.9775
Binomial probability

Probability of NEITHER is allergic
ⁿCₓ(p)ˣ(q)ⁿ⁻ˣ
²C₀(0.15)⁰(0.9775)² = 0.9555

P(at LEAST ONE is allergic) = 1- 0.9555 = 0.0444
7 0
3 years ago
Read 2 more answers
A flower shop acquired 80 new customers last year. Costs in the marketing and sales areas were the following:
icang [17]

Using proportions, it is found that the Customer Acquisition Cost was of $1,215.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

In this problem, the customer acquisition cost is the spending in sales divided by the number of customers added.

80 customers were added, considering costs of 1200 + 9000 + 87000 = $97,200, hence:

97200/80 = $1,215.

More can be learned about proportions at brainly.com/question/24372153

5 0
1 year ago
Simplify expression -(20 +d)
Verizon [17]

Answer:

-d-20

Step-by-step explanation:

Hope this helps!

5 0
2 years ago
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