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Alik [6]
3 years ago
7

If 2x + 1=7 what is the value of x​

Mathematics
2 answers:
Nina [5.8K]3 years ago
4 0

Answer:

Solution,

2x + 1=7

or 2x = 7 - 1

or, 2x= 6

or, x = <u>6</u>

2

or, x = 3

.:. x = 3

yulyashka [42]3 years ago
3 0

Answer:

x=3

Step-by-step explanation:

2x+1=7

2x=7-1

2x=6

x=6/2

x=3

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Anastasy [175]

Answer:

6, 26

Step-by-step explanation:

because x is 6 so itll be -3(6)=-8

-3 times 8 is -26

y=-26

4 0
3 years ago
Find the set of values of k for which the line y=kx-4 intersects the curve y=x²-2x at 2 distinct points?
Sonbull [250]

Answer:

-6 < k < 2

Step-by-step explanation:

Given

y = x^2 - 2x

y =kx -4

Required

Possible values of k

The general quadratic equation is:

ax^2 + bx + c = 0

Subtract y = x^2 - 2x and y =kx -4

y - y = x^2 - 2x - kx +4

0 = x^2 - 2x - kx +4

Factorize:

0 = x^2 +x(-2 - k) +4

Rewrite as:

x^2 +x(-2 - k) +4=0

Compare the above equation to: ax^2 + bx + c = 0

a = 1

b= -2-k

c =4

For the equation to have two distinct solution, the following must be true:

b^2 - 4ac > 0

So, we have:

(-2-k)^2 -4*1*4>0

(-2-k)^2 -16>0

Expand

4 +4k+k^2-16>0

Rewrite as:

k^2 + 4k - 16 + 4 >0

k^2 + 4k - 12 >0

Expand

k^2 + 6k-2k - 12 >0

Factorize

k(k + 6)-2(k + 6) >0

Factor out k + 6

(k -2)(k + 6) >0

Split:

k -2 > 0 or k + 6> 0

So:

k > 2 or k > -6

To make the above inequality true, we set:

k < 2 or k >-6

So, the set of values of k is:

-6 < k < 2

3 0
2 years ago
A cube has a volume of 125 in3. find the side length of this cube in inches.​
Novay_Z [31]

Answer:

5 inches

Step-by-step explanation:

The formula for a cube's volume is its side length cubed. So to get the side length when given the volume, you can take the cube root of the volume. \sqrt[3]{125}  = 5 inches.

8 0
3 years ago
A cook needs
GREYUIT [131]

1 cup = 0.5 pints

3 x 0.5 = 1.5 pints = 1 1/2 pints

8 0
3 years ago
A sample of 300 urban adult residents of a particular state revealed 65 who favored increasing the highway speed limit from 55 t
forsale [732]

Answer and explanation:

Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same

Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different

Where p1 is the first population proportion =65/297= 0.22

And p2 is the second population proportion = 78/189= 0.41

P= p1+p2/n1+n2= 65+78/297+189= 0.29

Hence H0= p1-p2=0

Ha=p1-p2≠0

Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)

= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)

= -4.49

Critical value at 95% significance level= 1.96( from tables)

We therefore reject null hypothesis as critical value is greater than test statistic

Therefore the sentiment for increasing speed limit in the two populations is different

b. at proportions of 0.24 and 0.40 for p1 and p2 respectively

Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)

= -3.78

P value is 0.0002 at 0.05 significance level

Hence probability =0.4998

7 0
3 years ago
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