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Bess [88]
3 years ago
10

Solve algebraic equation -4x + 7 = 15

Mathematics
2 answers:
mash [69]3 years ago
6 0
-4x+7=15
-7 -7
-4x =8
-4x/-4= 8/-4
x=-2

x=-2
yan [13]3 years ago
3 0

Answer:

x=-2

Step-by-step explanation

-4(-2)+ 7

8+7=5

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write a linear equation that intersects y=x^2 at two points. Then write a second linear equation that intersects y=x^2 at just o
Liula [17]

We know that y = x^2 is a parabola, concave up, with vertex in the origin (0,0)

So, we may use three horizontal lines for our purpose: any horizontal line above the x axis will intersect the parabola twice. The x axis itself intersects the parabola once on the vertex, while any horizontal line below the x axis won't intercept the parabola.

Here's the examples:

  • The horizontal line y = 4 intercepts the parabola twice: the system y = x^2,\ y = 4 is solved by x^2=4 \implies x = \pm 2
  • The horizontal line y=0 intercepts the parabola only once: the system is y=x^2,\ y=0 which yields x^2=0\implies x=0 which is a repeated solution
  • The horizontal line y=-5 intercepts the parabola only once: the system is y=x^2,\ y=-5 which yields x^2=-5 which is impossible, because a squared number can't be negative.
5 0
3 years ago
The lengths of pregnancies in a small rural village are normally distributed with a mean of 265 days and a standard deviation of
MakcuM [25]

Answer:

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

Step-by-step explanation:

Given that :

Mean  = 265

standard deviation = 14

The formula for calculating the z score is z = \dfrac{x -\mu}{\sigma}

x = μ + σz

At middle of 50% i.e 0.50

The critical value for z_{\alpha/2} = z_{0.50/2}

From standard normal table

z_{0.25}= + 0.67  or -0.67  

So; when z = -0.67

x = μ + σz

x = 265 + 14(-0.67)

x = 265 -9.38

x = 255.62

when z = +0.67

x = μ + σz

x = 265 + 14 (0.67)

x = 265 + 9.38

x = 274.38

the middle 50% of most lengths of pregnancies ranges between 255.62 days and 274.38 days

3 0
3 years ago
On a coordinate grid, in which quadrant is the point (-5,4) located
lapo4ka [179]
Quadrant 2 is its location.
3 0
3 years ago
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Which expression is equivalent to 7z + 7z?
Ierofanga [76]

Answer:

14z

Step-by-step explanation:

Since these are like-terms, they can be added together.

7z + 7z = 14z

6 0
3 years ago
This high school stadium contains a track that surrounds a soccer field. The soccer field is 100 yards long and 70 yards
elena-14-01-66 [18.8K]

Answer:

do 70x70=4,900  than do 100 x100=10,000 than add them to gether and you get 10,4900

Step-by-step explanation:

theres 2 sides not just one

5 0
3 years ago
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