3 years ago

The square of a number is equal to 10 less than 7 times that number. What are the two possible solutions?

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

The second equation, its setup is correct

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Eight toy makers each carved 25 blocks and 15 cars how many toys did they crave in all

Stella [2.4K]

Answer:

320

Step-by-step explanation:

25 + 15 = 40 toys each

Toy makers x number of toys each = total toys carved

8 x 40 = 320 totals carved in all

6 0

3 years ago

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What's the slope and y-intercept of the equation 3x + 4y = 8?

Anna71 [15]

Answer:

Slope = -3/4

y-intercept = 2

Step-by-step explanation:

$3x+4y = 8\\\therefore 4y = -3x +8\\\therefore y = \frac{-3}{4}x+ \frac{8}{4}\\\therefore y = \frac{-3}{4}x+2\\Equating \: it \: with\: \\y=mx+b\\Slope\:(m) = \frac{-3}{4}\\y-intercept\:(b) = 2$

6 0

3 years ago

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For #1-8, solve the equation for the indicated variable: Solve for x: 1. 3x + 2 = 8

Karo-lina-s [1.5K]

Steps to solve:

3x + 2 = 8

~Subtract 2 to both sides

3x = 6

~Divide 3 to both sides

x = 2

Best of Luck!

5 0

3 years ago

Review:

alex41 [277]

Answer:

Step-by-step explanation:

Well 6 to the second power is when you multiply 6 x 6 = 36

And ab= -320

7 0

3 years ago

Using the completing-the-square method, rewrite f(x) = x2 - 6x + 2 in vertex form.

sp2606 [1]

Answer:

$\large\boxed{f(x)+(x-3)^2-7}$

Step-by-step explanation:

$\text{The vertex form of equation}\ y=ax^2+bx+c:\\\\y=a(x-h)^2+k\\\\\text{We have the equation:}\\\\f(x)=x^2-6x+2=x^2-2(x)(3)+1=x^2-2(x)(3)+3^2-3^2+2\\\\\text{Use}\ (a-b)^2=a^2-2ab+b^2\to x^2-2(x)(3)+3^2=(x-3)^2\\\\f(x)=(x-3)^2-9+2=(x-3)^2-7$

8 0

3 years ago