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2 years ago

6

James is reading a book that is 1400 pages he will read the same number of pages each day if he reads the book in 7 days how man

y pages will he read each day

2 answers:

Novay_Z [31]2 years ago

7 0

He will read 200 pages a day.

nlexa [21]2 years ago

6 0

He reads 200 pages a day.

1400/7 = 200 pages per day.

Hope this helps!

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What number is 40% of 160?

VMariaS [17]

Answer:

64

Step-by-step explanation:

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2 years ago

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The line through (4,-1) and (k,5) is parallel to the line y=-3x+5. FInd the value of k.

Tema [17]

Answer:

k = 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 3x + 5 ← is in slope- intercept form

with slope m = - 3

Parallel lines have equal slopes, thus the 2 points have a slope of - 3

calculate the slope using the slope formula and equate to - 3

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (4, - 1) and (x₂, y₂ ) = (k, 5)

m = $\frac{5+1}{k-4}$ = $\frac{6}{k-4}$ = - 3 ( multiply both sides by (k - 4) )

- 3(k - 4) = 6 ( divide both sides by - 3 )

k - 4 = - 2 ( add 4 to both sides )

k = 2

3 0

2 years ago

Given the quadratic function f(x) = 4x^2 - 4x + 3, determine all possible solutions for f(x) = 0

solong [7]

Answer:

The solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:4x^2\:-\:4x\:+\:3$

Let us determine all possible solutions for f(x) = 0

$0=4x^2-4x+3$

switch both sides

$4x^2-4x+3=0$

subtract 3 from both sides

$4x^2-4x+3-3=0-3$

simplify

$4x^2-4x=-3$

Divide both sides by 4

$\frac{4x^2-4x}{4}=\frac{-3}{4}$

$x^2-x=-\frac{3}{4}$

Add (-1/2)² to both sides

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{3}{4}+\left(-\frac{1}{2}\right)^2$

$x^2-x+\left(-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\left(x-\frac{1}{2}\right)^2=-\frac{1}{2}$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solving

$x-\frac{1}{2}=\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=\sqrt{-1}\sqrt{\frac{1}{2}}$ ∵ $\sqrt{-\frac{1}{2}}=\sqrt{-1}\sqrt{\frac{1}{2}}$

as

$\sqrt{-1}=i$

so

$x-\frac{1}{2}=i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2}$

also solving

$x-\frac{1}{2}=-\sqrt{-\frac{1}{2}}$

$x-\frac{1}{2}=-i\sqrt{\frac{1}{2}}$

Add 1/2 to both sides

$x-\frac{1}{2}+\frac{1}{2}=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

$x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

Therefore, the solutions to the quadratic function are:

$x=i\sqrt{\frac{1}{2}}+\frac{1}{2},\:x=-i\sqrt{\frac{1}{2}}+\frac{1}{2}$

4 0

2 years ago

Please help me really quick! :DD

shutvik [7]

Answer:

Correct equation: 4b^2 -b-138= 0

Solution: 6 meters

Step-by-step explanation:

The base has to be 6, and that’s the equation that works with that number.

8 0

2 years ago

I will make brainiest if you answer correctly!!!<br>What is the difference between a human and a dog

KonstantinChe [14]

Dogs walk on 4 legs.

Dogs have a stronger smell than us.

Dogs have a thicker layer of fur.

Dogs are allergic to types of food that we can digest.

Dogs only live around 15 years, and we live up to around 70.

Dogs have sweat glands on their pads and nose.

Dogs have a smaller population than dogs.

Dogs sleep more than humans.

Dogs live for survival, not for fame, money, nor any other materialistic possessions.

3 0

2 years ago